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    EBS 1988

    Review

    Permeation of hydrophilic molecu les through the outer membrane

    of

    gram-negative bacteria

    Review

    on

    bacterial porins

    Roland

    BENZ

    a nd K a tha r ina BA U ER

    Lehrstuhl fur Biotechnologie, Universitat Wiirzburg

    (Received February 8 /Ma y 10, 1988) EJB 88 0165

    The cell envelope of gram-negative bacteria such as

    Escherichia coti,

    Salmonella

    typhimurium

    and Pseudomonas

    aeruginosa consists of three distinct layers : the outer mem-

    brane, the peptidoglycan (murein) layer, and the inner mem-

    brane. The inner membrane acts as a real diffusion barrier

    and contains, in addition to the respiratory chain and the

    H+-

    ATPase, a large number

    of

    uptake systems for hydrophilic

    substrates

    [l] .

    All these hydrophilic solutes have to pass the

    outer membrane on their way into the cell. This means that

    this membrane must have very special permeability properties

    because these substrates have various structures and can all

    pass through the same transport pathways.

    On the other hand, the outer membrane makes the gram-

    negative bacteria resistant to host-defense hctors such as

    lysozyme, fl-lysin, and different leukocyte proteins

    [2 -41.

    Furthermore, in enteric bacteria living in the intestinal tract

    of animals, the outer membrane represents a very effective

    barrier, which protects the bacterial cells from the action of

    bile acid detergents and degradation by digestive enzymes

    [5]

    At the same time the outer membrane of enteric and some

    other gram-negative bacteria represents a strong permeability

    barrier to many antibiotics that are effective against gram-

    positive bacteria

    [5 ,

    61.

    The outer membrane of gram-negative bacteria acts as a

    molecular filter for hydrophilic compounds. The active

    components of these molecular sieving properties are a major

    class

    of

    proteins called porins

    [7].

    The porins have molecular

    masses between 30 kDa and 50 kDa and normally form

    oligomers in the outer membrane that are, in many but not

    all cases, stable

    in

    sodium dodecyl sulfate. Dependent on their

    permeability properties for hydrophobic solutes, the porins

    can be divided into two classes. Most porins form, in the

    outer membrane and reconstituted systems, large water-filled

    channels and are generally diffusion porins because they sort

    solutes mostly according to their molecular mass. Other

    porins have a certain solute specificity and contain binding

    sites for sugar

    [8, 91,

    phosphate [lo,

    1 ],

    and nucleosides

    I121

    inside the pores. These specific porins represent a considerable

    advantage for the diffusion of defined substrates through the

    outer membrane but they do not act as a general diffusion

    pore.

    Correspondence

    tu

    R . Benz, Lehrstuhl fiir Biotechnologie der

    Universitat Wiirzburg, Rontgenring 11, D-8700 Wiirzburg, Federal

    Republic

    of

    G e rma ny

    T H E O U T E R M E M B R A N E O F G R A M - N E G AT I V E B AC T ER IA

    The cell envelope of gram-negative bacteria consists

    of

    two membranes separated by the peptidoglycan (murein) layer

    and the periplasmic space. This additional cellular compart-

    ment contains a variety of soluble proteins, some of which

    function as processing enzymes and convert nontransportdble

    metabolites to transport substrates

    [l].

    Furthermore, it con-

    tains a variety of binding proteins essential for the uptake of

    nutrients into the cells and the chemotaxis of the organisms

    [l].

    The periplasmic space appears to be iso-osmolar to the

    cell interior which means that the high osmotic pressure across

    the cell envelope in very dilute solutions is maintained across

    the outer membrane and the attached murein and not across

    the inner membrane [13, 141. The peptidoglycan layer is re-

    sponsible for the maintenance of cell shape and for the ability

    of the cell to withstand the very high internal osmotic pressure

    in dilute environments. It consists of a network of amino

    sugars and amino acids (see

    [I51

    for a review). The amino

    sugars N-acetylglucosaminyl-N-acetylmuramoyl dimers)

    form long linear strands which are covalently linked together

    between two muramoyl residues by short tetrapeptides

    [I

    51

    Components of the outer membrane such as the lipoprotein

    or the porins are either covalently bound to the murein or

    interact with this macromolecule via ion bridges

    [16, 171.

    Whereas the basic structure

    of

    inner membrane is formed

    by a normal phospholipid bilayer similar to most biological

    membranes and contains a variety of different proteins, the

    outer membrane has an unusual lipid composition and a

    relatively simple protein composition. The outer monolayer

    contains lipopolysaccharide as its major or exclusive (in

    enteric bacteria) lipid, while the inner leaflet contains

    phospholipids (mostly

    phosphatidylethanolamine

    and small

    amounts of phosphatidylglycerol and cardiolipin

    [5 ,

    16,

    181.

    Interestingly, this asymmetry is dependent on the presence

    oi

    an intact peptidoglycan layer in the periplasm, since degra-

    dation of peptidoglycan with lysozyme results in a redistri-

    bution of lipopolysaccharide within both leaflets

    [39 ] .

    Lipopolysaccharide (see [20] for a review) is an amphi-

    philic molecule containing a hydrophobic region (lipid A, also

    known as endotoxin) that has five or six fatty acids linked to

    diglucosamine phosphate. Covalently attached to this is the

    rough oligosaccharide core containing in its proximal portion

    an unusual sugar, 3-deoxy-~-rnanno-octulos0nic cid (dOclA,

    previously known as

    KDO),

    as well as a variety of heptose

    and hexose residues

    [16,

    201. The rough oligosaccharide core

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    2

    may be substituted with a variable number of repeated tri- to

    pentasaccharide units called the 0-antigen [20

    -

    21.

    Lipopolysaccharides carry net negative charge resulting in a

    strong negative surface potential of gram-negative bacteria

    [20]. They have attracted special interest because of their role

    in assembly and maintenance of the outer membrane per-

    meability barrier [16,22], their importance for biological func-

    tion of most outer membrane proteins [23]. Their function as

    phage receptors [24] and their endotoxic effects [25] are also

    important.

    Lipopolysaccharides appear to be anchored in the outer

    membrane by binding to outer membrane proteins [26, 271,

    possibly through hydrophobic interactions with lipid A [27],

    and by noncovalent cross-bridging of adjacent lipopolysac-

    charide molecules with divalent cations [28- 01. Thus treat-

    ment of gram-negative cells with EDTA generally results in

    removal, by chelation, of divalent cations and consequent

    disruption of the outer membrane [29]. In the absence of

    such chelators, however, the ion bridges formed by negatively

    charged groups and divalent cations are responsible for many

    of the properties of the outer membrane of gram-negative

    bacteria, including resistance to hydrophobic antibiotics, bile

    salts, detergents, proteases, lipases, and lysozyme

    [ 5 ,

    16, 30,

    311.

    The outer membrane also contains, besides the porins, a

    small number of so-called ‘major’ proteins present in high

    copy number (OmpA and lipoprotein,

    lo5

    and 7 x

    lo5

    copies

    per cell, respectively

    [5 ,

    14, 161). These proteins have definitely

    no channel-forming activity but are important for the struc-

    ture and the stability of the outer membrane. One third of the

    lipoprotein (Braun’s lipoprotein,

    M ,

    7200 in E .

    coli

    [32]) is

    covalently bound to the peptidoglycan, whereas the rest and

    OmpA ( M , 35000, ‘heat-modifiable protein’ [33, 341) interact

    with the murein via ion bridges. Little is known about the

    function of many minor outer membrane proteins with the

    exception of proteins important for the uptake of iron [35]

    and vitamin

    B 1 2

    [36].

    EXPRESSION OF PORINS

    Major outer membrane proteins

    Besides the most abundant outer membrane protein, the

    lipoprotein, the outer membrane of wild-type cells of E . coli

    K 1 2

    contains several other major proteins (Omp proteins)

    which are expressed in large amounts under standard labora-

    tory conditions. The nomenclature for these proteins has been

    different in different laboratories mostly because of their un-

    usual behavior in

    SDS

    gel electrophoresis [37

    -

    01. At pre-

    sent, it is agreed that the proteins are named according to

    their structural genes (i.e. OmpF is the gene product of the

    ompF gene [41]). The relative amounts of the OmpF and

    OmpC proteins (both forming general diffusion pores) are

    dependent on the growth conditions of the organisms, es-

    pecially the osmolarity of the growth media and their tempera-

    ture [42- 71. Three genetic loci are known to be involved in

    their expression. The loci ompC and ompF mapping at

    47.1 min and 20.7 min, respectively, on the E . coli

    chromosome [48] are structural genes [49- 11. Mutations of

    ompC and ompF result in the absence of OmpC and OmpF,

    respectively in the outer membrane. A third genetic locus

    mapping at 74 min, ompB, plays a central role in the regulation

    of OmpC and OmpF. ompB contains two genes, envZ (coding

    for a ‘sensor’ and located in the cell envelope) and ompR

    (coding for a cytoplasmic ‘regulator’). The ompB locus affects

    transcriptional expression of the ompF and ompC genes, both

    absolutely and relatively [52, 531.

    Mutations in ompB result in many different combinations

    of porin phenotypes: OmpC- OmpF’, OmpC’ OmpF- or

    OmpC- OmpF- [54,

    551.

    Several factors affect the expression

    of the porin proteins. The relative level at which the two

    proteins are expressed is determined by the growth medium.

    OmpC is preferentially expressed in media of high osmolarity

    [50,

    511, while OmpF

    is

    preferentially incorporated into the

    outer membrane at low osmolarity. The expression of OmpC

    is also favored in the presence of a fermentable carbon source.

    Other cultural conditions lead also to different relative levels

    in the expression of OmpC and Omp F [56]. The synthesis of

    the porins and other outer membrane proteins (especially of

    OmpA) is further modulated in such a way that the total

    number of copies of these proteins remains constant [33, 44,

    571. In addition, alterations of the lipopolysaccharide core

    sugars [44] and of the lipid structure [58, 591 can affect ex-

    pression of these proteins.

    The construction of strains in which the lac operon is fused

    to the

    ompC

    [49] and the ompF [52] genes, respectively, have

    established that the ompB gene product has a dual role in

    regulating both the absolute and the relative transcriptional

    levels of expression of the ompF and ompC genes. Deletions

    and base substitutions of the ompR gene and lacZ fusions

    with this gene [60- 41 and subsequent mutant analysis re-

    vealed that the OmpR protein activates the expression of

    ompF and ompC genes most likely by binding to the upstream

    regions of their promoters [60- 651. These studies, especially

    those of the osmoregulation of such mutants also supported

    the hypothesis that the OmpR protein has a two-domain

    structure. Each domain plays a different role in the activation

    of the

    ompC

    and

    ompF

    genes. Studies with the purified OmpR

    showed that the interaction between this protein and the pro-

    spective modulator EnvZ occurs at the N-terminal portion of

    the protein, while the C-terminus is responsible for its binding

    to the ompC and ompFpromotors [60-641. This is in accor-

    dance with the fact that there is extensive conservation of

    N-terminal regions between products of E .

    coli

    ompR and

    other two-component regulatory systems like the phosphate-

    starvation-dependent regulatory gene phoB and the nitrogen-

    assimilation regulatory gene ntrC. There is also extensive con-

    servation of C-terminal regions between the products of E .

    coli envZandphoR, ntrB, and others [66]. It was proposed that

    these regulatory genes comprise two-component regulatory

    systems that evolved from a common ancestral system involv-

    ing transduction of information about the status of the en-

    vironment by one protein domain (C-terminal region

    of

    EnvZ) to a second one (N-terminal region of OmpR) [66].

    Also, the fact that under certain conditions OmpR can acti-

    vate the expression of OmpC or OmpF in the complete ab-

    sence of envZ gives further evidence that EnvZ may function

    as a transducer protein, which is not directely involved in

    promotor recognition and DNA-binding [67]. Furthermore,

    some exists evidence that the RNA polymerase is also involved

    in the activation of porin genes [60- 4, 681.

    The

    micF

    gene may serve as a third regulatory gene for

    the expression of ompC and ompF. It codes for an RNA that

    is complementary to the

    5’

    end of the ompF mRNA [69] and

    seems to function as an antisense RNA in expression of the

    ompF gene during osmoregulation. In this respect, tole,

    coding for a minor outer membrane protein, may also play

    an important role: to le mutants show reduced levels in OmpF

    and overproduction of OmpC protein [70]. The properties of

    micF mutants led to the hypothesis that the micF and the

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    3

    +maltose

    malA (74 ) malB(91 )

    Fig. 1 . The maltose regulon qf E. coli. The lower part of the figure showes the genetic organization and regulation of the maltose regulon,

    whereas the upper half of the figure indicates the molecular masses (given in kDa in circles) and cellular locations of the gene products. The

    abbreviations I M, OM, PPS represent inner membrane, outer membrane and periplasmic space, respectively. Positive control is exerted by

    the

    malT

    gene product and by the cyclic-AMP

    atabolite-activator-protein

    complex (CAMP-cap). The wavy line represents the direction of

    transcription. This figure is adapted from

    [256]

    ompC

    genes are probably coregulated [71]. It was proposed

    furthermore, that

    tolC

    mutation leads to overexpression of

    the coregulated micF and ompC genes. The increased level of

    the micF product would then lead subsequently to a reduction

    of OmpF.

    Also the growth temperature seems to play an important

    role in the expression of the major porins. Decreasing growth

    temperatures result in increased amounts of OmpF and de-

    creased quantities of OmpC. The regulatory gene responsible

    for these effects was named

    e n v y

    [72]. It seems to map at

    12.9 rnin on the

    E . coli

    linkage map

    [48]

    and codes for an

    envelope protein which appears at low temperatures in

    minicells [72]. How Envy functions and interacts with the

    other porin regulatory components is not known.

    Inducible major outer m embr ane proteins

    Lam B prote in.

    LamB is the product of the

    lamB

    gene

    located at 91 rnin on the

    E .

    coli chromosome [48] and it is part

    of the maltose regulon. This regulon consists of two regions,

    malA

    at 74 rnin

    [73,

    741 and

    m a l B

    at 90 rnin [75 -771. It con-

    tains a number of genes coding for proteins involved in the

    uptake of maltose and maltodextrins into the cell and their

    degradation. LamB protein is involved in the permeation of

    sugars across the outer membrane (see paragraph about

    LamB under section on specific porins below). Maltose bind-

    ing protein

    ( m a l E

    gene product) is a periplasmic recognition

    protein and is essential for chemotaxis. MalF, MalG, MalK

    are inner membrane proteins responsible for the transport of

    the sugars through the cytoplasmic membrane. Maltodextrin

    phosphorylase

    (malP

    gene product) and amylomaltase male

    gene product) are metabolic enzymes located in the cytoplasm

    (see Fig. 1). The

    ma1

    system

    is

    positively regulated by the

    malT

    gene product [78], which is activated if maltose or

    maltodextrins are added to the growth media. Furthermore,

    it

    is sensitive to catabolite repression: the complex of CAMP

    and catabolite activator protein (cap) stimulates the ex-

    pression of the regulator m al T gene and of the malE,F,G and

    of the

    malK-lam B

    operons directly, whereas the stimulation

    of the malP,Q expression may only be controlled via malT

    V91.

    PhoE protein.

    The synthesis of the PhoE protein can be

    induced in wild-type strains by growth under the conditions

    of Pi starvation

    [46, 801.

    This process is coregulated with the

    expression of serveral other Pi-starvation-inducible proteins

    in a single regulon, the

    pho

    regulon [81]. The

    p h o E

    structural

    gene is localized at 6 min of the chromosome of E. coli [81].

    The other structural genes of the operon include

    p h o A

    (alka-

    line phosphatase),

    y h a S

    (Pi binding protein), and

    ugpB

    (glycerol-3-phosphate binding protein). The gene products of

    at least three regulatory genes are involved in this regulation:

    p h o B ,p h o R ,

    and

    phoM

    [82], together with a phosphate-specific

    transport system for the uptake of Pi across the inner mem-

    brane. The

    p h o B

    gene product is an activator required for

    transcription of the structural genes, whereas transcription of

    p h o B

    is regulated by the

    p h o R

    and

    p h o M

    gene products (see

    Fig. 2). Evidence for the model of Fig. 2 was obtained from

    the cloning of the regulatory genes and the identification of

    their products. The p h o R gene product represses the synthesis

    of the PhoB protein in minicells

    [83].

    Furthermore, by using

    p h o B - b e 2

    [84] and

    phoB-cat

    [85]

    gene fusions, it has been

    shown that the synthesis of t h ep h o B product is induced under

    Pi limitation. I t has to be noted, however, that Pi is probably

    not the molecule that directly influences the state of the p h o R

    gene product. In mutants with a defective phosphate-specific

    transport system, a high intracellular Pi level can also be

    maintained by another uptake system, the phosphate inor-

    ganic transport system [86], while these mutants are still

    derepressed for the

    pho

    regulon. It was recently shown that

    the intracellular nucleotide pools are changed upon Pi limi-

    tation and that the

    phoU

    gene is involved in these alterations

    [87].These nucleotides are most likely the actual effectors of

    thephoR gene product [88].

    BIOSYNTHESIS OF THE PORINS

    Common to all porins is their synthesis as a larger precur-

    sor form with an N-terminal leader extension (see [89] for

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    4

    I

    Fig.

    2.

    The pho regulon

    qf

    E. coli.

    B,

    R, and M are the products of

    the

    genesphoB, p h o R , and phoM respectively.B is an activator which

    is essential for transcription of the structural genes of thepho regulon

    including phoE. The presence

    of

    sufficient Pi leads R to be in the

    repressor form

    RR,

    which prevents transcription ofphoB. Pi starvation

    converts R

    to

    the activator form RA. Both RA and M stimulate

    transcription of phoB. The figure is adapted from

    [88]

    a recent review on export of protein). The leader sequence

    contains between 21 and 22 amino acids in the case of the

    three porins OmpF [90], OnipC [91], and PhoE [92] ofE.

    oli,

    whereas OmpA [93] and Braun’s lipoprotein [94] have leader

    sequences of 21 and 20 amino acids, respectively. The existence

    of leader sequences with approximately the same length and

    a similar composition suggests that the major outer membrane

    proteins (with the exception of the lipoprotein, see [95] for a

    review) may share a common pathway for their biosynthesis

    and their assembly. The genes most likely to be involved in

    the ‘export machinery’ across the inner membrane are the sec

    genes of the A, B,

    D,

    and

    Y

    (pr lA)

    classes. The

    secY ( p r lA )

    gene product is an integral component of the cytoplasmic

    membrane [96]and it is known to be essential for the translo-

    cation of exported proteins across the cytoplasmic membrane

    [97].

    Other important genes are

    secA

    [98] and

    secB

    which are

    also involved in protein secretion.

    The biosynthesis and assembly of outer membrane pro-

    teins have been studied using gene fusion products of outer

    membrane protein genes with

    lacZ [99

    - 1021. So far it is not

    clear

    if

    the results are meaningful because the gene fusion

    products may be located in the cytoplasmic membrane and in

    the periplasmic space and not in the outer membrane [103,

    1041. The overproduction of OmpC using a multicopy plasmid

    blocked the assembly of OmpA into the outer membrane but

    not

    of

    a LacZ-LamB chimeric protein which is obviously

    located in the periplasmic space [104].

    The biosynthesis and assembly of OmpA was studied in

    detail [105, 1061. As this protein probably shares the same

    pathway of synthesis and assembly with the porins and LamB,

    its description may serve as a model for porin biosynthesis.

    OmpA protein is synthesized on free and membrane-bound

    ribosomes

    in

    the cell as a water-soluble precursor which ac-

    cumulates inside the cell

    if

    the membrane potential is partially

    inhibited by the addition

    of

    an uncpupler of oxidative

    phosphorylation [106]. At normal membrane potential, the

    pro-OmpA protein is translocated through the cytoplasmic

    membrane and processed by a membrane-bound leader

    peptidase [107]. This leader peptidase also cleaves pro-mem-

    brane proteins of the cytoplasmic membrane, proteins se-

    creted into the periplasmic space, and most likely also the

    porins, but it is not identical to the leader peptidase which

    processes the lipoprotein [108].

    So far, it is not clear in all aspects of processing and

    assembly if the pro-porins and the pro-LamB share the ident-

    ical mechanism to the pro-OmpA, i.e. if a membrane potential

    across the cytoplasmic membrane is needed for the translo-

    cation of the pro-porins across this membrane, although it

    has been found that the presence of the FIF O s indispensable

    for the export of LamB [109]. However, also in the case of the

    OmpF porin, it is likely that the chain is almost, if not entirely,

    complete before the processing star ts [110]. On the other hand,

    some evidence also exists for a co-translational processing of

    periplasmic proteins in

    E .

    coli, i.e. translocation of the nascent

    chain after completion of approximately

    80%

    of its entire

    length. When inner and outer membrane are separated, the

    pro-OmpF is localized in the inner membranes, which indi-

    cates its processing at the inner membrane by a membrane-

    bound leader peptidase [110] (see above). The processing of

    the pro-OmpF into the mature protein occurs very rapidly

    with an apparent lifetime of the precursor of 30 s [110].

    The mechanism of the assembly of the trimers in the outer

    membrane from three mature monomers is still completely

    unknown, although some indication exists for a somewhat

    delayed formation of stable trimers from metastable trimers

    in the case of LamB [ l l l ] . In any case, it is obvious from the

    study of the mutant OmpC and the overexpression of OmpC

    that OmpA, LamB and the porins share the same machinery

    for the assembly into the outer membrane [104, 1121. This

    could be shown by the use of an OmpC mutant of

    E .

    coli, in

    which only the amino acids Val-300 and Gly-301 were re-

    moved [112]. The expression of this protein caused a dramatic

    decrease of the expression of OmpA, of LamB, and of the

    other porins by blocking the assembly machinery into the

    outer membrane but it did not effect the assembly of the

    lipoprotein

    [

    1121.

    ISOLATION AND PURIFICATION

    OF

    PORINS

    The general diffusion pores of different gram-negative

    bacteria were found to be tightly associated with the

    peptidoglycan layer [113, 1141. Their isolation is relatively

    simple because only a few outer membrane proteins are associ-

    ated with the murein, while the others are lost during the

    washing of the cell envelope fraction with SDS-containing

    solutions. Other pore-forming proteins, such as the

    Tsx

    chan-

    nel, are not murein-associated [12, 1151. In this case the outer

    membrane has to be separated from the inner membrane by

    procedures similar to that used first by Miura and Mizushima

    [116].

    Isolation of the outer membrane

    The first step is always the disruption of the cells. This can

    be done by French pressure cell treatment, by ultrasonication,

    by shaking the cells in the presence of glass beads, or by

    osmotic lysis of the spheroplasts. The disruption followed

    by differential centrifugation leads to a crude cell envelope

    fraction which is composed of outer membrane, cytoplasmatic

    membrane, and peptidoglycan layer. The separation between

    outer membrane and inner membrane can be done in the

    following way [12,116]. The crude envelope fraction is layered

    on a two-step sucrose gradient

    (70%

    sucrose and 54% su-

    crose) and is centrifuged for 10 h at

    80000 xg.

    The outer

    membrane accumulates at the interface between 54% and

    70

    sucrose, because of its higher density which may be

    caused by the larger content of carbohydrates of the outer

    membrane. Another method for the isolation of the outer

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    5

    membrane uses its relatively low solubility in nonionic deter-

    gents. The cytoplasmic membrane is removed in this case by

    a washing procedure with Triton X-100 or sodium lauryl

    sarcosinate in the presence of MgZf [40]. It has to be noted,

    however, that in both cases a considerable fraction of

    phospholipids and lipopolysaccharides may be lost from the

    outer membrane during the washing procedure with deter-

    gents.

    Enzym atic degradation

    o f

    the porin-murein com plex

    Porins, tightly associated with the peptidoglycan layer, can

    easily be isolated by the method proposed first by Rosenbusch

    11171. After breaking the cells, the cell envelope fraction is

    solubilized in 2% SDS at 60°C. The insoluble material con-

    tains the peptidoglycan with the covalently bound lipoprotein

    and the associated porins. The porin can either be separated

    from the peptidoglycan by digestion of the peptidoglycan

    layer using lysozyme and trypsin [7, 1141 or in a more elegant

    way by a salt extraction method 1118- 1201 (see below). Boil-

    ing of the porin-peptidoglycan complex for 5 min in SDS

    leads also to the dissociation but it denatures the protein.

    Salt extraction method

    A more recent method uses a salt extraction method for

    the preparation of trimers first proposed by Nakamura and

    Mizushima [118]. The method was extended by Tokunaga et

    al. [119] and a recent excellent description has been given by

    Nikaido [120]. A short scheme of the procedure is as follows.

    The gram-negative bacteria are grown under normal culture

    conditions at 37°C; the addition of 0.5% glucose represses

    the expression of the maltoporin (LamB); after washing the

    cells they are resuspended in a small volume and passed three

    times through a French pressure cell; the cell envelope con-

    taining the cytoplasmic membrane, the peptidoglycan, and

    the outer membrane are pelleted by cenrifugation. The SDS-

    soluble components

    of

    the outer and the inner membrane

    are removed by washing the pellet with a buffer solution

    containing 2% SDS at elevated temperature (up to 60°C).

    After centrifugation the pellet should contain only peptido-

    glycan and the associated protein. Considerable amounts of

    non-porin proteins in the pellet can be removed by a repetition

    of the SDS-wash step followed by centrifugation. The

    peptidoglycan-associated protein preparation is resuspended

    at 37°C in a buffer which contains as essential components,

    besides 1 SDS, 0.4 M NaCl and 5 mM EDTA. The super-

    natant of a subsequent centrifugation step is applied to a

    Sepharose 4B or a Sephacryl S-200 superfine column. The

    porin trimers are eluted from the column with the same buffer.

    Ion-exchange columns (for example DEAE-Sephacel) can

    also be used for the purification of porins because the pore-

    forming complexes adsorb to the column material according

    to their net surface charge [12]. For this, the large amount of

    salts introduced by the salt extraction have first to be removed

    by dialysis against low-ionic-strength buffer. Also, if SDS was

    used for extraction, it is exchanged with non-ionic detergents

    such as Triton X-100. The column is first washed with low-

    ionic-strength detergent buffer. The porins are then eluted

    from the column with linear salt gradients ranging over 50-

    500 mM a t a given pH. The salt and detergent content of the

    eluted protein can be decreased by another dialysis procedure

    but this is not essential for the pore-forming activity which

    remains constant for several months at 4°C in a refrigarator

    or frozen in a freezer. The protein solutions can also be

    lyophilized in many cases without any loss of the pore-forming

    activity. In lypophilized form the protein remains active for

    at least a year stored in a freezer at -20°C.

    Saline extraction of whole cells

    This method utilizes the susceptibility of the outer mem-

    brane of photosynthetic bacteria towards 150 mM NaCl

    solu-

    tion [121, 1221. Freshly harvested cells are shaken for 2 h

    in 150 mM NaCl at 37°C. The supernatant obtained after

    centrifugation is dialysed against distilled water and lyo-

    philized. Part of the material obtained is porin. The rest is

    composed of lipid and lipopolysaccharide and occasionally of

    other outer membrane proteins [121, 1221. The porin may be

    purified as described above. It has the same pore-forming

    properties as porin isolated by the salt extraction method

    described above [123].

    MODEL

    M E M B R A N E

    STUDIES W I T H P O R I N PORES

    The permeability properties of porin pores for hydrophilic

    molecules can either be studied

    in vivo

    or

    in vitro. In vivo

    experiments allow the study of the pores in their natural

    environment which means that the substrates can interact

    with the whole uptake system including periplasmic binding

    proteins and periplasmic enzymes. The properties of the porin

    pores were studied in vivo using the p-lactamase activity locat-

    ed in the periplasmic space [124, 1251 and the uptake of

    radioactively labeled solutes into the cells [126]. Both methods

    only yield precise information on outer membrane per-

    meability if the flow of the p-lactam antibiotics across the

    outer membrane is rate-limiting [127], i.e. the p-lactamase

    activity is

    so

    high that the enzyme is not saturated and the

    gradient of the p-lactam antibiotics is established across the

    outer membrane. Similar considerations apply to the uptake

    studies. In these cases, it is necessary that the solutes are

    actively taken up into the cell and that their gradient is again

    established across the outer membrane which is

    only

    possible

    at very low solute concentration because of the high affinity

    of most inner membrane transport systems [127].

    In

    vitro

    studies allow much better control of the experimental con-

    ditions. On the other hand, the possibility of artifacts exists

    (see below).

    The vesicle permeability assay

    This method was the first to be used for the identification

    of the pore-forming proteins of the outer membrane of

    E .

    coli

    and S. typhimurium 17, 113, 1141. The basic principle of the

    vesicle permeability assay is as follows. Liposomes are formed

    in a buffer solution containing two radiolabeled solutes (for

    example [14C]sucrose and [3H]dextran) from bacterial or

    other lipids in the presence of protein fractions or purified

    porin. In the first investigations lipopolysaccharide was also

    added at a molar ratio of 1 8 to the lipid. However, its pres-

    ence is not essential for the pore-forming activity of the porins

    and the formation of the liposomes [120]. Vesicles or lipo-

    somes are formed by shaking the suspension, followed by mild

    sonication in a water-bath-type sonicator. During liposome

    formation both radiolabeled substances are entrapped. Sub-

    sequently, the liposomes are passed through a Sepharose 4B

    column and elute just after the void volume. The [3H]dextran

    is retained in the liposomes, whereas the low-molecular-mass

    ['4C]sucrose may leave the liposomes through the pores dur-

    ing the chromatography. In this case, it is retarded on the

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    6

    column and the initial

    1 4 C/3 H

    atio is decreased and indicates

    the permeability of the pores for the low-molecular-mass sol-

    ute. Similar experiments can be performed with 14C-labeled

    solutes of different molecular masses. The 14C /3H atio mea-

    sured as a function of the molecular mass of the solutes allows

    the evaluation of the exclusion molecular mass and of the

    effective diameter of the pore [7, 113, 114, 1281.

    Experiments of this type have been used to measure the

    exclusion molecular mass of porins of

    E .

    coli, of

    S .

    t y p h i m u r i u m , of P . aeruginosa and of Haemophilus i n f l ue nza

    [7, 113, 114, 128, 1291. The exclusion limits of the porins of

    E. col i and of

    S .

    t y p h i m u r i u m were between 550-800 Da

    which would be consistent with diameters around 1.1-

    1.3 nm. The diameter of the protein F pore of P. aeruginosa

    outer membrane appears to be much larger because solutes

    with molecular masses of more than 5000 Da could permeate

    the pore [130] (Fig. 3). All these diameters were found to be

    consistent with in vivo studies, although the exclusion limit of

    the outer membrane of P. aeruginosa was a matter of debate

    [131, 1321. Furthermore, the role of protein F as a porin was

    questioned [132].

    The vesicle permeability assay can be termed an all-or-

    none method. This means that it does ngt allow the measure-

    ment of the kinetics of the permeation of different substrates

    relative to one another. The time needed for the elution of the

    column is so long that it is not possible to see any difference

    between the rates of permeation of different solutes or any

    specificity of the pore for one class of solutes. This all-or-none

    assay may also lead to artificial results if more than one porin

    is present in the protein preparation. In this case only the

    larger pore can be detected even if it was only a small fraction

    of the total number of pores. The presence of only one larger

    pore per liposome would be enough to swamp the effects of

    many small pores. This effect presumably played a role in the

    first characterization of LamB incorporated into liposomes

    [129]. Another possible artifact may arise if the permeability

    of only one solute is measured by means of the assay described

    above. Denaturated pore-forming complexes could in this

    case cause a certain permeability of the liposomes for

    hydrophilic solutes without the formation of a defined dif-

    fusion pathway. However, the existence of a defined exclusion

    limit may be questionable in this case.

    The

    liposome

    swe l l i ng m e thod

    This method was introduced in the study of the per-

    meability properties of porin pores by Nikaido and coworkers

    [120, 133- 361 following a method established by Bangham

    et al. [137, 1381. Lipid and protein are dispersed in a buffer

    first by shaking and then by sonication in a bath-type

    sonicator. The buffer contains a large-molecular-mass dextran

    or stachyose to maintain a certain osmolarity (around

    40 mOsmol). The stachyose or the large-molecular-mass

    dextran are not rendered permeable by the porin and are

    entrapped inside the liposomes. The liposomes are added

    under rapid mixing to an isotonic solution of a test solute. If

    this solute can penetrate the pores, the tptal concentration of

    solutes inside the liposomes increases because stachyose or

    dextran are retained. Liposomes behave like an ideal

    osmometer which means that water molecules permeate into

    the liposomes according to the osmotic gradient. This swelling

    process can be detected by a decrease of the average refractive

    index of the liposome suspension, i.e. by a measurement of

    the absorbance (see Fig. 4). The initial swelling rate can be

    used as a measure of the penetration rate of the test solute

    0.3 1.0 10

    50

    Molecular ma s s

    k Da)

    Fig.

    3.

    Exclusion limit fo r saccharides in vesicles reconstituted f ro m

    outer membranes of P. aeruginosa

    a)

    and S . typhimurium LT2

    M I

    0 ) s obtained fr o m the vesicle permeability assay. The results imply

    that porin of P. aeruginosa outer membrane has a larger exclusion

    limit than porin from S . typhimurium. (From [258] with permission)

    0.51

    0 1 2 3 0 1 2 3 4

    Time after mixing (min)

    Fig.

    4.

    Absorbance tracings in a liposome-swelling experimen t recorded

    at a wavelength

    of 450

    nm with liposomes reconstituted fr om lipid and

    porin from E. coli

    B.

    The figure shows the results obtained after

    dilution into L-arabinose (Ara), N-acetyl-D-glucosamine (GlcNAc),

    sucrose (SUC),and buffer (5 m M Tris/HCl, pH

    7.4) with

    liposomes

    reconstituted in the presence (right) and in the absence (left) of

    porin.

    (From [ I 331 by copyright permission of

    the

    Rockefeller

    University

    Press)

    100

    50

    g 20

    150

    200

    250 3 0 0

    350

    M o le cu la r m a ss

    Fig. 5. Relative rates of permeation of different sugars into phospho-

    lipid-porin liposomes. Different

    sugars

    (from top to bottom) of

    150 kDa (1,-arabinose),

    180

    kDa

    (D-galactose,

    D-fructose,D-mannOSe,

    D-glucose), 221 kDa (N-acetyl-D-glucosamine),

    262

    kDa

    (2,3-

    diacetamido-2,3-dideoxy-D-glucose)nd

    342 kDa (sucrose,

    meli-

    biose, maltose, lactose). (From [133]

    by

    copyright permission of the

    Rockefeller University Press)

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    7

    Table 1. Physical properties and pare cha racteristics

    of

    general dif fusion po rin pores

    The corresponding references are given after each result. The complete names of the organisms are: Aeromonas salmonicida, Anabaena

    variabilis, Brucella a bortu s, Campylo bact er,fetu s, Cam pylob acter ejun i, Haemo philu s influenza, Klebsiella pneu mon iae, Legionella pneumophilia,

    Neisseria gonorrhoae, Paracoccus denitrificans, Proteus mirabilis. Pseudomonas aeruginosa, Rhodobacter capsulatus (formerly

    Rhodopseudomonas capsulata [255]), Rhodobacter sphaeroides (formerly Rhodopseudomonas sphaeroides [255]), Salmonella typhimurium,

    Spirochaeata aurantia, Yersinia pestis

    Porin Bacterial species Molecular mass Diameter derived from

    exclusion liposome single-channel

    limit swelling- conductance

    General diffusion porins

    OmpF

    OmpC

    PhoE

    Lc

    Lc (HK 253)

    NmpC

    K

    OmpF

    OmpC

    OmpD

    PhoE

    37-kDa

    40-kDa

    PhoE

    PhoE

    I

    F

    E

    MOMP

    43-kDa

    46-kDa

    32-kDa

    40-kDa

    Group

    2

    33-kDa

    43-kDa

    47-kDa

    Porin

    42-kDa

    40-kDa

    Escherichia coli

    Salmonella tyohimurium

    typhimurium

    Enterohacter cloacae

    K. pneumoniae

    N . gonorrhoae

    P. aeruginosa

    Y.

    pestis

    L. pneumophila

    C.

    ejuni

    S. aurantia

    A .

    salmonicida

    P. mirabilis

    H . influenza

    B. abortus

    P. denitrgicans

    R

    .

    capsula tus

    R

    .

    sphaero ides

    A. variabilis

    C . e t u s

    kDa

    32.7 [90, 2421

    36.0 [91]

    36.8

    [9]

    36.5 [21 I]

    40 [242]

    40 [243

    39.3 [149, 1191

    39.8 [149, 1191

    38.0 [149, 1191

    36 [245]

    37 [246]

    40 [246]

    39.5 [211]

    37 [212]

    37 [212]

    34 [141 , 2241

    39 [215]

    33 [247]

    -25 [258]

    43 [248]

    46 [248]

    32 [249]

    42 [250]

    40 [251]

    40 [128]

    40 [I471

    33 [252]

    43 [143]

    47 [I221

    nm

    600

    [I141

    -

    -

    -

    -

    -

    800

    [113]

    800 [I 131

    800 [I131

    -

    -

    -

    -

    -

    5000 [130]

    -

    -

    -

    -

    -

    1400 [128]

    700 [I471

    -

    -

    -

    1.2 [134]

    1.1 [I341

    1.1 [I341

    -

    -

    -

    -

    -

    [257]

    - [257]

    -

    1.2 [241]

    1.6 [241]

    -

    1.0 [141]

    2.0 [144]

    -

    -

    -

    -

    -

    1.4 [128]

    1.2 [I471

    1.7 [252]

    1.6 [I431

    1.2 [I221

    -

    1.2 [I581

    1.1 [158]

    1.1 [I581

    1.3 [242]

    1.0 [158], 1.4 [I501

    1.1 1243, 2441

    1.2 [I481

    1.3 [I481

    1.3 [148]

    1.1 [240]

    -

    1.1 [170]

    1.1 [I701

    1.1 [156]

    2.0 [155]

    1.1 [I581

    1.0 [258]

    0.9 [248]

    0.9 [248]

    2.3 [249]

    I O

    [250]

    1 O”

    1.0 [I571

    1.7h

    1.6 [I231

    1.6 [253]

    -

    Specific porins Specificity

    LamB

    E. coli

    Tsx

    E. coli

    D1 P. aeruginosa

    P P. aeruginosa

    LamB

    S. typhimurium

    48.0 [I721

    31.4‘

    specific for nucleosides

    [12]

    46

    [115, 1961 specific for sugarsd [I151

    4 8 [ l l ]

    specific for anions

    [lo , 11, 1591

    44 [254] specific for sugars (?)

    specific for sugars [9, 135, 145, 154, 1611

    a Schmid,

    A, ,

    Bauer,

    K.,

    Benz, R., unpublished results.

    Bremer,

    E.,

    Martinussen,

    J.,

    Valentin-Hansen, P., unpublished results.

    Benz,

    R. ,

    Schmid, A. , Rosenberg, E. Y., Nikaido,

    H.,

    unpublished results.

    Nikaido, H., personal communication.

    through the porin pore. Using the same liposome preparation,

    the pentration rate of different solutes can be compared

    striking of the pore edge and by the friction of the pore

    interior) is given by

    -

    (Fig: 5). For a general diffusion pore, i.e. a water-filledcyl in-

    der, the logarithm of the relative rate of permeation is a linear

    A /

    =

    [l

    (a /r)]’[1-2 .104(u /r)

    +

    2.09

    -

    .95 (u/r)’]

    ,”,

    function of the molecular mass of the solutes, which allows

    1)

    where A is the effective area of the pore with the total area

    A,, r and a are the radii of the pore and of the solute respec-

    tively. The use of the liposome swelling assay allowed a mean-

    an estimation of the effective diameter of the pore according

    to the theory of Renkin [139].According to this theory the

    total hindrance to diffusion of the solutes (caused by the

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    8

    ingful comparison to be made between different porin pores

    of

    E .

    coli outer membrane [I341. Furthermore, this method

    was used to demonstrate the specificity of the LamB channel

    for maltose and maltodextrins compared to other saccharides

    [9, 1351 and to characterize the propert ies of different LamB

    mutants [140]. The properties of a variety of porin pores

    of

    different gram-negative bacteria were also investigated using

    this method [128, 141 -1441. The pore diameter varied be-

    tween 1 I - .2 nm (see Table 1).

    Although the liposome swelling assay is far more precise

    than the vesicle permeability method, i t may possibly have a

    number of complications. The theoretical evaluation

    of

    the

    Renkin equation as used for the calculation of the pore diame-

    ter is based on a number

    of

    simplifications [139]. In the case

    of the experiments with porin pores, these may not be justified.

    A second problem is the poor time resolution which is limited

    by the stirring that is necessary after the addition of the

    liposomes to the test solute [133]. Information may be lost

    because the early decay of the absorbance cannot be recorded.

    This may be the reason for the non-linear dependence of the

    swelling rate on porin concentration which was observed for

    OmpC of E . coli K12 [134]. A final difficulty is estimation of

    the effective diameter of the test solutes. Disaccharides of

    identical molecular mass caused a substantial variability of

    the swelling rates (3 -7-fold) [134]. This variability may be

    caused by differences in the hydration shell of the solutes. The

    large-molecular-mass solute (dextran or stachyose) may also

    create problems. The osmolarity of the large-molecular-mass

    dextran was difficult to adjust in the experiments with LamB

    [9].

    Stachyose, on the other hand, which was also used in these

    experiments [140], binds to the binding site inside the LamB

    channel [145]. This means that the relative rate of permeation

    of different sugars through LamB mutants may be influenced

    by the binding of stachyose.

    Lipid hiluyer

    experiments

    The swelling experiments with reconstituted liposomes

    provide excellent information about the size of porin pores.

    Less detailed information is available on the selectivity of

    the pores. This is because membrane potentials occur in the

    liposome swelling assay. These are created by the use of

    charged test solutes which may greatly complicate the analysis

    of

    the experimental data [134].

    More detailed informat ion about the pore interior and the

    pore selectivity can be obtained from lipid bilayer exper-

    iments. Three different method have been used successfully

    to reconstitute porin pores into lipid bilayer membranes. In

    the first

    of

    these, detergent-solubilized porin was added di-

    rectly to the aqueous-phase-bathing solvent containing

    (‘painted’) lipid bilayer membranes [146]. In the second

    method, solvent-free (‘folded’) membranes were formed from

    vesicles reconstituted from lipid and protein according to the

    Montal-Mueller method [147]. The third method inserted the

    porin pores into lipid bilayer via fusion of reconstituted ves-

    icles with membranes [148]. This methodhas only occasionally

    been used. It will not be further described here.

    The simplest method consists of the addit ion of detergent-

    solubilized porin, in very small concentration

    (1

    - 00

    nglml),

    to the aqueous phase bathing a black lipid bilayer membrane.

    After an initial lag of some minutes, presumably caused by

    the diffusion of the protein through unstirred layers, the con-

    ductance (i.e. membrane current per unit voltage) of the mem-

    brane increased by many orders of magnitude within about

    20-30 min [14, 149,

    1501.

    Only a slight additional increase

    400

    p s

    A

    1 *in

    Fig.

    6 .

    Single-channel recording

    of

    a

    diphytanoylglycerophospho-

    cholineln-decane

    in

    the presence of

    20

    nglmlprote in

    P ojP.

    aeruginosa

    a n d 3 0

    mM

    KCI

    in the ayueousphase.

    A

    voltage

    of 50 m V

    was applied

    through calomel electrodes with salt bridges; temperature

    = 25‘ C

    (as compared with the initial one) occurred after that time.

    The conductance increase was found to be dependent on the

    type of porin used for the reconstitution and on the

    membrane-forming material. In membranes from oxidized

    cholesterol, a completely unphysiological lipid, porins usually

    showed about 100-fold more pore-forming activity than in

    membranes f rom normal phospholipids [14,148]. The reason

    for the dependence of the reconstitution rate on the

    membrane-forming lipid is not clear. It may arise from small

    structural differences between the membranes. Using this

    method, the surface area of the membrane is in principle not

    limited. Multi-channel experiments (i.e. experiments with a

    large number

    of

    channels) were usually performed with sur-

    face areas between 1 and 2 mm2, whereas the membrane areas

    were below 0.1 mmz in the case of the single-channel record-

    ings [146, 1511. A maximum of between l o 6 - lo8 pores/cm’

    could be incorporated into lipid bilayer membranes using this

    method. This means that the reconstitution of porin pores is

    not a rare event.

    On

    the other hand, it is obvious that this

    number is far below the pore density in the outer membrane

    of gram-negative bacteria (1012 pores/cm2 [149]).

    A n

    alternative method for the reconstitution of porin

    pores was used by Schindler and Rosenbusch [147, 1521. Ves-

    icles from lipid and protein were spread on the surface of the

    aqueous phase on both sides of thin teflon foil which has a

    small circular hole (about 100 pm diameter) above the initial

    water levels. The surfaces of both aqueous compartments were

    covered by monolayers. The water levels on both sides of the

    membrane are now raised and a folded lipid bilayer membrane

    is formed across the small hole.

    So

    far it is not clear how the

    porin pores are incorporated into the lipid bilayers. In the

    early investigations the pores were always activated as mul-

    tiples of the single conductance unit at large voltages, presum-

    ably because of the fusion of porin-containing vesicles with

    the membrane [147]. More recently, especially in the case of

    PhoE [153] and LamB [154], the pores were activated as single

    conductive units. The diameter of folded membranes is limited

    to about 100-200 pm (area about 0.07 mm’).

    Both experimental approaches allow the resolution of

    single channels [14, 1521. This is one of the main advantages

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    9

    Table 2. Average single-channel conductance of Rhodobacter capsu-

    latus porin in differen t salt solutions

    The solution contained

    10

    ng/ml porin and less than

    0.1

    Fg/ml SDS

    or Triton

    X-100.

    The pH of the aqueous salt solutions was around 6

    unless otherwise indicated. The membranes were formed from

    diphytanoyl glycerophosphocholine/n-decane. Temperature

    =

    25°C;

    V , =

    25 mV. (Taken from [123])

    Salt c A A / .

    KCI

    RbCl

    NaCl

    LiCl

    K z S 0 4

    MgClz

    CaCI,

    KCH3C02 (PH

    7)

    Tris/HCI

    K/Hepes (pH

    8)

    Tris/Hepes (pH 8)

    M

    0.003

    0.01

    0.03

    0.1

    0.3

    1

    o

    3.0

    1

    o

    1

    o

    1 o

    0.5

    0.5

    0.5

    1 o

    0.5

    0.5

    0.5

    nS

    0.012

    0.038

    0.12

    0.35

    1.1

    3.3

    9.5

    3.4

    1.8

    1.4

    2.1

    1.3

    I

    .8

    2.3

    0.52

    0.83

    0.12

    nm

    0.29

    0.29

    0.29

    0.29

    0.29

    0.30

    0.35

    0.30

    0.21

    0.20

    0.28

    0.20

    0.23

    0.33

    0.17

    0.28

    0.18

    of the lipid bilayer assay. The experiments were performed in

    the following way. Small amounts of porin

    (1

    -

    0

    ng/ml) were

    added to the aqueous phase bathing a black membrane of

    small surface. Subsequently, a step-wise increase of the current

    through the membrane was observed. Fig.

    6

    shows an exper-

    iment of this type with protein P of P.

    aeruginosa [159].

    All

    conductance steps were directed upward. Closing events were

    in

    general only rarely observed. This means that the lifetime

    of porin pores from gram-negative bacteria usually exceeded

    1

    min. The only pores with a much shorter lifetime (around

    50

    -

    00

    ns) were those observed in the presence of total outer

    membrane of

    P.

    aeruginosa [155],

    although the absolute level

    of the pore conductance (i.e. pore current per unit voltage)

    was the same as with purified protein F.

    The single-channel conductance, A , of many but not all

    porin pores was a linear function of the specific conductance

    ci

    of

    the bulk aqueous phase. This means that, despite a large

    variation of the average single-channel conductance, the ratio

    A / a

    varied

    on ly a

    little (see Table

    2).

    The single-channel con-

    ductance

    of

    these general difusion pores (see the next section)

    can be used to calculate the effective diameter of the porin

    pores. Assuming that the pores are filled with a solution of

    the same specific conductivity as the external solution and

    assuming a cylindrical pore with a length

    1

    of

    6

    nm, the effec-

    tive pore diameter

    d (

    =

    2r)

    and the cross-section can be calcu-

    lated according to the equation

    [146]:

    A

    =

    m r 2 / 1 .

    The diameter of the porin pore of Rhodob'acter

    capsulatus

    (compare Table

    1)

    may be calculated to be about

    1.6

    nm from

    the single channel conductance

    (0.40

    nS) in 0.1

    M KC1

    and

    the corresponding specific conductance of the aqueous phase

    (ci

    = 14

    mS/cm)

    [123].

    As already pointed out, the liposome swelling method

    cannot be used to obtain detailed information on the selec-

    tivity properties of porin pores. Experiments with lipid bilayer

    Table 3. Zero-current membrane potentials

    V,

    for diflerent porins

    in

    the presence oJ u tenfold KCl gradient

    Species Porin

    V P , / P a

    Reference

    mV

    E.

    coli OmpF (B)

    27

    3.9

    OmpF (K12) 28 3.8

    OmpC

    50

    26

    K

    46

    1.6

    PhoE -24 0.30

    NmpC -26 0.21

    ti 581

    OmpC 54 41 11581

    OmpD

    0

    4 23 .54

    ~ 5 8 1

    245]

    S . ~ ~ p ~ i ~ u r j u ~mpF 46 14

    PhoE

    P . aeruginosa P -59

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    10

    The basic advantage of the lipid bilayer method is the

    measurement of molecular events. Every step of Fig. 6 reflects

    the conductance due to insertion of one conductive unit, i.e.

    of one protein

    P

    trimer of

    P.

    aeruginosa

    into the membrane.

    This allows an easy check

    of

    the purity of the porin prep-

    aration and of the integrity of the pore-forming units after

    the isolation and purification of the porin [161]. The interpre-

    tation of single-channel studies requires a statistically signifi-

    cant number of measurements. This means that the measure-

    ment of only ten channels is not sufficient to characterize a

    porin pore. Instead, hundreds of pores must be studied in

    order to avoid identifying random fluctuations, which may

    occur in a limited number of events in single-channel measure-

    ments, as characteristic properties of the pore [162].

    GENERAL DIFFUSION PORINS

    Most porin pores of gram-negative bactrial outer mem-

    brane that have been studied in vivo or in vitro are general

    diffusion pores. Table 1 summarises the properties of all the

    general diffusion pores that have been characterised to date

    using one of the three methods described in the previous

    section. The diameter of the different porin pores varies f rom

    about

    1 0

    nm to 2.2 nm. This means that the diameter of the

    porin pores is much larger than that of the ‘ion’ channels in

    nerve and muscle membranes. Reconstitution experiments

    have shown that the porins of

    E.

    coli outer membrane are

    permeable to trisaccharides and tetrapeptides, i.e. the pores

    allow the penetration of nutrients and ions through the outer

    membrane

    [ 5 ,

    14, 17, 1601. Lipid bilayer experiments have

    demonstrated that the ions move inside the porin pores similar

    to the way in which they move in the aqueous phase. This

    finding allowed the calculation of an effective radius on the

    basis of Eqn (2). It is interesting to note that the radii as

    calculated from the different methods described in the preced-

    ing section show satisfactory agreement (compare Table 1).

    Only in the case of the major outer membrane protein of

    Huemophilus influenza did the radii estimated f rom the differ-

    ent methods not coincide [157]. The reason for this is not

    completely clear. It has to mentioned, however, that the

    unheated porin did not run as oligomers on SDS/

    polyacrylamide electrophoretograms and that different lipids

    were used for the reconstitution experiments. On the other

    hand, it cannot be excluded that the explanation proposed by

    the authors (i.e. that the branching of the channel is respon-

    sible for the difference) may be valid in this case [157, 1601.

    I t

    has already been mentioned above that in vivo and

    certain in vitro studies give only vague information about the

    selectivity of the porin pores [134, 1631. The swelling rate of

    PhoE-containing liposomes was only a factor of two larger,

    in

    the case of negatively charged solutes than that of a neutral

    solute with a similar molecular mass [134]. The lipid bilayer

    assay allows good access to both sides of the membrane and

    it is easy to establish a salt gradient across the membranes

    and to perform zero-current potential. measurements [151,

    1581. The use of salts with equally mobile ions like K + and

    CI-

    (limiting molar conductivities 73.5 mS/M and 76.4 mS/

    M [164]) yields precise information about the selectivity of the

    porin pores. Other salts such as LiCl and KC H3 CO0 can be

    used to test whether the pore is a general diffusion pore

    or not. Li’ and acetate- have similar aqueous mobilities

    (38.7 mS/M and 40.9 mS/M [164]) but smaller mobilities than

    K + and C1- (see above). This means that a general diffusion

    pore must have a larger cation selectivity in KCI than in LiCl

    and a smaller cation selectivity in KCI than in KCH3CO0.

    Table 3 shows that these considerations are correct for the

    general diffusion pores but not for the anion-specific porin

    protein

    P

    from

    P.

    aeruginosa

    outer membrane.

    Is

    PhoE

    a specific porin?

    PhoE has been shown to be effective for the uptake of

    phosphate, polyphosphate and other negatively charged

    sol-

    utes [126, 163, 165-1681, The general diffusion pores listed

    in Tables 1 and 3 have been accepted as such, except in the

    case of PhoE pore of E. coli outer membrane. In this case some

    authors have proposed the existence of specific phosphate or

    polyphosphate binding site, because in in vivo and in in vitro

    experiments, polyphosphate could block the pore [126, 153,

    1691. However, more recent investigation of this ‘specific’

    inhibition effect showed that it only occurred if the divalent

    cation Mg2 and polyphosphate (or other polyvalent anions

    like citrate) were present in the aqueous phase [170, 1711. The

    inhibition

    of

    the pore function in the presence

    of

    both ions

    can be explained by complex formation inside the pore, which

    reduces the flow

    of

    solutes. Polyphosphate alone is not able

    to reduce the permeability of the PhoE pore in the in vivo or

    in vitro

    experiments but changed its selectivity from anion to

    cation selectivity, because the excess of positively charged

    groups inside the channel

    is

    converted into an excess of nega-

    tively charged groups by the presence of the polyphosphates

    [171].

    SPECIFIC PORINS

    L am B o f E. coli

    Transport of maltose and maltodextrins in E . coli is me-

    diated by a transport system that is composed of several

    components including LamB (see above). The

    lumB

    gene

    codes for the receptor of phage /z in the outer membrane

    (molecular mass 48 kDa [172]) which was found to be

    important for the maltose uptake because

    lamB

    mutants were

    found to be impaired in maltose transport when the concen-

    tration of this sugar in the growth media was less than 0.1 mM

    [173]. This result indicated an important role of the LamB

    protein in the maltose uptake machinery. Early reconstitution

    experiments with purified LamB suggested that

    it

    formed a

    general diffusion pathway similar to the general diffusion

    pores but with a larger diameter [129,174]. More recent inves-

    tigations have shown that LamB (also known as ‘maltoporin’)

    has a defined substrate specificity [9, 135, 145, 154, 161, 1751

    and that i t is able

    to

    discriminate between disaccharides of

    identical molecular mass, for example between sucrose and

    maltose [9, 1351 (compare Table 4). Furthermoe, the per-

    meation of glucose through LamB could be blocked by

    maltodextrins [I 351, and LamB was identified as a cell-surface-

    binding site for sugars in vivo [8, 1761. LamB is obviously not

    a general diffusion pore which means that the early reconsti-

    tution data and the finding that LamB acts as a general dif-

    fusion pore in vivo may be caused by an unidentified general

    diffusion pore. However, the permeation of small solutes with

    molecular masses less than 300 Da through LamB seems to

    be possible.

    The exact function of the MalE protein (the maltose bind-

    ing protein) is not completely clear at present although it is

    essential for maltose uptake [177, 1781. It has been reported

    that MalE binds to LamB [179] and that this is important for

    voltage-dependent pore function [1621. However, more recent

    investigations

    of

    the interaction between MalE and LamB in

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    11

    Table

    4. Stability constants.

    K ,

    (half-saturation constant K,

    = l / K )

    , fbr

    fh e binding of different sugars to the La m B channel, and relative

    ra te q fpermeation , P,

    of

    the sugars through L am B relative to that

    01

    maltose

    The data for the relative rate of permeation (adjusted to

    100

    for

    maltose) were taken from

    [9].

    The L amB-containing liposomes were

    added

    to

    buffer solutions containing

    40

    m M of the corresponding test

    sugars. The da ta for the sugar binding were taken fro m [145]. K (=

    1

    K m )was calculated from titration experiments similar to tha t shown

    in Fig. 8 for the

    Tsx

    channel

    Sugar K S P

    M- ' mmol / l

    Maltose 100 10 I00

    Maltotriose

    2 500

    0.40 66

    Maltotetraose 10000

    0.10 19

    M

    altopentaose

    17000 0.059 -

    Maltohexaose 15000 0.067 -

    M altoheptaose

    5000 0.067 2.5

    Trehalose

    Lactose

    Sucrose

    Gentibiose

    Melibiose

    Cello biose

    D-Glucose

    L-Glucose

    D-Galactose

    D-Fructose

    D-Mannose

    46 22 76

    I 8 56 9

    67 15 2.5

    250

    4.0

    42

    180 5.5

    33

    6.7 150 13

    9.5 110 290

    22 46

    24 42 225

    1.7 600 135

    6.3 160 160

    -

    Stachyose

    20 50 < I

    Raffinose

    46 22

    vivo

    [180] and

    in

    vitro [154, 1611 have shown that this modu-

    lation of the pore function is likely to be an artifact.

    Lipid bilayer experiments in the presence of purified LamB

    resulted in a strong conductance increase caused by the forma-

    tion of small ion-permeable pores with a 10-times-smaller

    single-channel conductance (160 pS) than OmpF under other-

    wise identical conditions [145, 154, 1611. The ion permeation

    through the pores could be blocked completely by the addition

    of increasing concentrations of sugars, i.e. by titration exper-

    iments [145, 154, 1611. Because of the absence of any interac-

    tion between binding site and ions, the half-saturation con-

    stant could be calculated from the t itration experiments. The

    structure of the binding site was studied by the investigation

    of

    the binding of large variety of sugars (included in Table 4).

    The data for the binding of the sugars allowed the deduction

    of a rough steric model of the binding site [145]. The half-

    saturation of the binding of the maltodextrins decreased with

    their chain length, but was saturated after five residues

    (Table 4, see also Fig. 7). This result makes it very likely that

    the binding site has a length of approximately five glucose

    residues, corresponding to a maximum length of 3 nm. Mu-

    tations of LamB [181] can change the half-saturation constant

    of the binding between the sugars and the site in the channel.

    This is shown for a mutant (BW 1333,Trp74 Arg; R. Benz,

    A .

    Schmid, T. Ferenci and T. Nakase, unpublished results) in

    Fig.

    7.

    The effect of the mutation may be explained by a

    reduction of the number of binding sites inside the channel.

    The maltodextrins apparently move through the channel in

    single file and block the channel for the passage

    of

    ions. From

    this it can be concluded that the channel is only 0.7 nm wide,

    0

    2

    4

    6

    8

    glucose

    res idues

    Fig. 7. Binding constants of glucose and diffe rent maltooligosaccharides

    to the binding site inside the La m B channel

    [I451

    and inside La mB

    m u ta nt ( B W 1333 Trp74 Arg ) as derived fr o m titration of ion

    conductance with increasing concentrations of sugars.

    wt, wild-type

    La mB; BW

    1333,

    mu tant (Benz, R., Schmid,

    A

    Ferenci, T., Nakae,

    T., unpublished results). Note that the half-saturation constant

    of

    Lam B for maltohexaose is identical to th at derived by a completely

    different m ethod

    [I761

    whereas the diameter of the general diffusion pores of E .

    coli outer membrane is of the order of 1.1 nm (see Table 1).

    Further studies on mutant LamB and of the investigation of

    the influence of the mutations on the sugar binding may give

    further insight into the three-dimensional structure of the

    binding site and may help to decide the question of which

    amino acids are involved in the binding of the sugars [140,

    181

    -

    841. The cation selectivity of LamB makes it very likely

    that carbonyls are present inside the channel [145]. This means

    that hydrogen bonds are presumably responsible for the bind-

    ing of the sugars. It is interesting to note that the data of

    Table 4, i.e. the combination of the relative swelling rate and

    the half-saturation constant, can be used for the evaluation

    of mechanism of sugar permeation through the LamB channel

    on the basis of a one-site, two-barrier model [145]. The pro-

    cedure is not discussed here and the interested reader is refered

    to the original literature [145]. The result of the analysis is

    similar to that shown in the next paragraph for Tsx protein

    from

    E.

    coli

    outer membrane. The important advantage

    of

    the binding site is the high turnover of molecules at very low

    substrate concentration, although the pore saturates at high

    substrate concentration. In contrast to this, the

    flow

    of mol-

    ecules through a general diffusion pore is always a linear

    function of the substrate concentration.

    T sx

    o E. coli

    The pore function of another outer membrane protein,

    the Tsx protein, was recently established [12]. This protein

    was shown to serve as the receptor of colicin K and bacterio-

    phage T6 [186]. It is known that Tsx protein

    is

    part of the

    nucleoside uptake system because mutants lacking this protein

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    12

    1.0

    I

    1

    -

    [Adenos ine] mM)

    10

    rnin

    Fig. 8. Titrution o the Tsx-induced membrane conductance with increasing concentrations

    of

    adenosine. The membrane was formed from

    diphytanoyl

    glycoerophosphocholine/n-decane

    in 1

    M

    KCI

    and 200 ng/ml Tsx of

    E. coli .

    V

    =

    50 mV;

    temperature

    =

    25°C

    are impaired in the uptake of several nucleosides [187-1891.

    The specificity of the nucleoside-specific pathway in the outer

    membrane seems to be very high because the rate of uptake

    of adenosine and thymidine was strongly reduced in these

    tsx-

    mutants whereas the uptake of cytidine was similar in

    tsx’ and t s x - strains. Similar to the situation described above

    for LamB and maltose uptake, transport by Tsx protein be-

    comes rate-limiting at nucleoside concentrations below about

    Tsx protein is not murein-associated like the ‘normal’

    porins OmpF and OmpC and

    i t

    is only a minor outer mem-

    brane protein under normal growth conditions. Furthermore,

    it was found that the presence of SDS is deleterious for the

    pore-forming activity in reconstitution experiments and for

    the phage inactivation [12]. Tsx was isolated and purified from

    outer membranes of an overproducing E.

    coli

    strain using the

    detergent Triton X-100. It is interesting to note that, no matter

    what the solubilization temperature, Tsx has the same molec-

    ular mass of 28 kDa on SDS/polyacrylamide electropho-

    retograms [12] whereas its correct molecular mass is

    31.418 kDa

    (E.

    Bremer,

    J .

    Martinusson, P. Valentin-Hanson,

    unpublished results). This observation is completely different

    to the behavior of outer membrane porins of

    E. coli

    which

    show temperature-dependent mobility on SDS gels as a conse-

    quence of their SDS-resistant trimeric structure.

    So

    far it

    remains unclear if the active Tsx channel is also an oligomer.

    Reconstitution experiments with purified Tsx showed that it

    is able to increase the conductance of lipid bilayer membranes

    by many orders of magnitude [12]. This conductance could

    be inhibited by the addition of nucleosides to the membranes

    (Fig. 8) and a half-saturation constant could be calculated

    for the binding of the nucleoside to the membrane from a

    Lineweaver-Burke plot of the data of Fig.

    8

    (Fig. 9). This

    result indicated that Tsx protein formed a channel which

    contained a binding site for nucleosides. Surprisingly, the

    single-channel conductance in 1 M KC1 was extremely small.

    It was only 10 pS which can be compared with the 160 pS of

    LamB and 1.9

    nS

    (1900 pS) of OmpF of E. coli K12 [158].

    1 PM [187- 1891.

    I

    llbinding

    I

    I

    llbinding

    ,

    Adenos ine :

    K =

    0.5

    rnM

    -

    5 -

    1

    3 -

    2 -

    I I

    I

    -l/fts 0 2

    6

    8

    10

    Fig.

    9.

    Lineweaver-Burke

    plot

    qf the data given in Fig.

    5 .

    The half-

    saturation constant for the binding of adenosine to the binding site

    inside the Tsx channel was calculated using the assumption that the

    channel does not conduct ions when it is occupied by a nucleoside

    The titration experiments could be used for the evaluation

    of the half-saturation constant for the binding of different

    nucleosides to the binding site inside the pore (Table

    5)

    [190].

    As can be seen from Table 5, the stability constant for

    adenosine binding was approximately the same as for

    thymidine (corresponding to a similar half-saturation con-

    stant). Surprisingly, the binding of the deoxynucleosides to

    the channel interior was much stronger than that of the

    nucleosides which may indicate that the binding of the mol-

    ecules occurs via hydrophobic interaction between site and

    nucleosides. Accordingly, a saturation of the flux of

    nucleosides through the Tsx channel may be expected for

    increasing concentrations of nucleosides [12, 1901.

    If

    we as-

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    13

    Table 5. Stability constants K,, fo r the binding ofnucleosides to th e Tsx

    channel (holf'saturation constant K,

    =

    1 j K )

    The data were taken from [190]. K was calculated from titration

    experiments similar to that given in Fig. 8

    Nucleoside K K ,

    M - ' m M

    Adenine

    500

    2.0

    Adenosine

    2 000 0.50

    Deoxyadenine

    7100

    0.14

    Thymine

    112

    5.8

    5 -Deoxyth ymidine 20000

    0.050

    Thymidine 5

    000 0.20

    l

    0.01 0.1

    1.0

    10

    100

    =-.n./mM

    Fig.

    10. Flow

    ofadenosine through Tsx and through a general diffusion

    pore us

    function qf

    rhe

    nucleoside concentration

    on one

    side

    o j

    the

    pores.

    The concentration on the othe r side of the pores is set to

    zero.

    The flow through Tsx,

    4 ,

    is given relative the maximum flux

    For the flux of adenosine through the general diffusion pore, it was

    assumed thai, at 0.1 m M , only

    1%

    of the flux was throu gh Tsx

    sume that the concentration of adenosine on one side of the

    Tsx channel is zero and that on the other side is c , the flux

    4

    of the substrate through Tsx as a function of

    c

    is given by the

    following equation

    :

    4

    =

    4rnaxKc./(2+ Kc)

    (4)

    where is the maximum flux at very high substrate concen-

    trations and

    K

    = l/ Km s the stability constant for the binding

    of adenosine

    to

    the binding site (Table

    5).

    The flux saturates

    at high substrate concentrations as shown in Fig.

    10

    for

    adenosine. On the other hand, the flux of adenosine through

    a general diffusion pore is linearly dependent on the concen-

    tration (Fig. 10). This means that the relative throughputs of

    the two types of pores is dependent on the substrate concen-

    tration. Fig.

    10

    clearly shows that the flux of adenosine at

    high concentrations through a general diffusion pore can ex-

    ceed that through the specific Tsx channel. This is in spite of

    the fact that in 0.1 mM adenosine, the flux through the general

    diffusion pore is only 1 of that through a Tsx pore. This

    result is consistent with the in

    vivo

    situation, in which the

    general diffusion pores have an insignificant role at low

    adenosine concentration. However, according to the data

    given in Fig.

    10,

    we would expect the crossover of the two

    throughputs curves to occur in response to an adenosine con-

    centration between 10- 100pM, and not a below 0.1 pM [12].

    It has been reported that

    Tsx

    also allows the flux of amino

    acids [191]. Titration experiments with lipid bilayer mem-

    branes showed that no binding site for amino acids or sugars

    exists inside the channel [190]. This means that if Tsx acted as

    pore for these substrates, it is a general diffusion pore for

    them.

    Porin

    P

    of Pseudomonas aeruginosa

    The outer membrane of

    P .

    aeruginosa has very special

    sieving properties which make this organism very resistant to

    most antibiotics [192, 1931. Part of these sieving properties

    could arise from the limited permeability of the large protein

    F channel [136, 144, 1551. On the other hand, the role of

    protein F as a porin has recently been questioned and the low

    outer membrane permeability of P. aeruginosa was explained

    by the presence of an as yet unidentified porin with a small

    exclusion limit [131, 1321. Under conditions of phosphate

    limitation, another porin (protein P) is induced together with

    an alkaline phosphatase, a phosphate binding protein, and

    some inner membrane proteins [lo, 11, 1941. The induced

    system therefore has some similarities with the

    p h o

    system

    of the Enterobacteriaceae and immunological cross-reactivity

    exists between protein P and PhoE [195]. Protein P forms

    highly anion-selective channels in lipid bilayer membranes

    which a re the only

    in vitro

    system for the study of this channel.

    Zero-current membrane potentials have a Nernstian slope

    (corresponding to P,/Pa

    <

    I), and they indicated that the

    protein P channel was at least

    1000

    times more permeable for

    chloride than for potassium [lo,

    11,

    1591.

    The conductance steps of the porin P channel were found

    to be fairly homogeneous in size as compared with the steps

    measured in the presence of the general diffusion pores [I591

    (compare Fig. 6). Current-voltage curves linear up to 200 mV

    were observed for the protein P channel. The cation present

    in the aqueous salt solutions had no influence on the single-

    channel conductance. In

    100

    mM chloride solutions this con-

    ductance was always about 160 pS irrespective of the size and

    charge of the cations. The change of the anion had a more

    substantial influence on the single-channel conductance and

    anion size could be used to probe the diameter of the protein

    P channel [159].

    Fig. 11 shows the dependence of the single-channel con-

    ductance on the radii of different anions in

    0.1

    M salt solu-

    tions. The diameter of the selectivity filter of the channel

    was approximately between

    0.5-0.7

    nm, as estimated from

    Fig. 11 and the observation that chlorate and bromate could

    traverse the channel, whereas perchlorate and iodate could

    not. The selectivity among the halides followed the Eisenmdn

    sequence

    AVI

    which also indicated a closely spaced selectivity

    filter [159]. The binding of anions to this filter accounts for

    the concentration dependence of the single-channel conduc-

    tance as shown in Fig. 12 for chloride and monovalent phos-

    phate (pH 6) [lo] (and

    R.

    Benz, R. E.

    W .

    Hancock, unpub-

    lished). The data

    of

    Fig. 12 could easily be fitted to the follow-

    ing equation, which assumes single occupancy of the pore

    [I591 (i.e. a single binding site inside the pore):

    A c ) =

    A,,,Kc/(I +KC).

    (5)

    The binding constant K (corresponding to the inverse half

    saturation) and the maximum single-channel conduatance,

    A,,, can be used to calculate the kinetics for the movement

    of the different ions through the protein P channel. Fig. 12

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    14

    200

    100

    A

    PS

    -

    5 0 -

    20

    10

    5 -

    -

    -

    -

    -

    0.10

    aa QZO

    rlnm25

    Fig. 11. Single-channel conductance o the protein P channel in 0.1 M

    salt solutions as a func tion o the ionic radius o the anions. The

    posi-

    tively charged counterion was in all cases potassium

    A l p s

    10’

    10

    1

    K I

    I

    I

    I

    1 10 10’ 10’ c l m M

    Fig. 12.

    Average single-channel conductance o protein P of

    P.

    aeruginosa given as a function

    o

    the KCI

    (

    x

    )

    and

    o

    the K H 2 P 0 4

    concentration

    0

    in the aqueous phase. pH 6, temperature

    =

    25 “C

    shows that this channel is not efficient at high phosphate

    concentrations. However, under phosphate starvation (i.e.

    phosphate concentrations below 1 niM) the channel conducts

    phosphate better than chloride because of its smaller half-

    saturation constant for phosphate (150 pM . This is another

    clear demonstration of the advantage to be gained by the

    possession of a binding site inside the channel for specific

    substrates.

    Protein

    DI

    of

    P. aeruginosa

    The addition of glucose to the grpwth medium of

    P .

    aeruginosa

    resulted in the synthesis of an outer membrane

    protein D1 with a molecular mass of 46 kDa [115, 1961. Pro-

    tein D1 could be considered as a glucose-specific channel

    because its presence resulted in a release of glucose from

    liposomes [115]. The rate of penetration of different sugars

    was measured using the liposome swelling assay (H. Nikaido,

    personal communication). Comparison between protein F

    and protein D1 clearly indicated that D1 is sugar-specific. The

    diffusion of a variety of different sugars was facilitated by

    protein D1 including that of L-glucose which binds also to

    LamB [145] (and H. Nikaido, personal communication). This

    indicated that sugar transport through protein D1 and

    through LamB cannot be compared with that in epithelia

    [197, 1981. This is because L-glucose is not transported in

    epithelial cells but it binds to LamB [145] and is transported

    through D1 (H. Nikaido, personal communication). The use

    of a variety of different glucose analogs allowed the identifi-

    cation of the groups responsible for the interaction with the

    pore interior

    (H.

    Nikaido, personal communication).

    As

    in

    the case of LamB, it seems that the interaction between the

    sugars and the channel interior occurs with carbonyl groups

    by means of hydrogen bonds.

    ARE

    T H E

    PORIN PORES VOLTAGE-REGULATED?

    Neither the vesicle permeability assay nor the liposome

    swelling method allow the rapid application and measurement

    of the effects of a transmembrane voltage. This is the unique

    advantage of the lipid bilayer instrumentation. The first two

    lipid bilayer studies of porin pores appeared as early as 1978

    [146, 1471. These studies agreed on the size and selectivity of

    the pores, but they disagreed about the voltage-dependence

    of the pores because porin pores require a considerable voltage

    for activation and inactivation when they are in folded mem-

    branes [147, 1521. As a consequence, a voltage-control of the

    outer membrane of gram-negative bacteria was postulated

    which resulted in considerable confusion because many

    microbiologists found the idea of voltage control of the outer

    membrane permeability very attractive. However, in painted

    membranes, porin pores were not found to be voltage-depen-

    dent [146]. In addition, they become active in single steps and

    not in large bursts as seen in folded membranes. It is generally

    believed today that voltage control of outer membrane per-

    meability in bacteria does not exist [17]. This is based on the

    consideration of the physiology of the cells and on experimen-

    tal results over the last ten years. Firstly,

    in vivo

    experiments

    have demonstrated that the Donnan potential (up to 80-

    100 mV [199, 2001) across the outer membrane has no influ-

    ence on its permeability [17, 2001 and other potentials are


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