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    Non-Covalent Interactions in Polysaccharide Systems

    Marguerite Rinaudo

    CERMAV-CNRS, BP53X, 38041 Grenoble cedex 9, France

    Fax: 33-476547203; E-mail: [email protected]

    Received: March 8, 2006; Revised: May 14, 2006; Accepted: May 15, 2006; DOI: 10.1002/mabi.200600053

    Keywords: amphiphilic polymer; hydrogen bond; hydrophobic interactions; ionic interactions; ionic selectivity; networks;

    polysaccharides; physical gelation; solvation

    Introduction

    Knowledge of the physical chemistry of natural and modified

    polysaccharides is progressing and several examples are now

    available that clearly demonstrate the role of non-covalent

    bonds present in aqueous solutions of polysaccharides. Be-

    causeof the stereoregularity of such polymers, interactions are

    often cooperative and play a role in polymer conformation and

    association in solution, even in dilute regimes.

    The purpose of this paper is to give examples of poly-

    saccharides that have a well-characterized chemical struc-

    ture in which these interactions are clearly demonstrated.

    These include Coulombic interactions (polyion ion inter-

    actions) and ionic selectivity, and dipolar hydrogen bonds

    that affect helical structure stabilization, chain stiffness,polymerpolymer interactions, or hydration and hydro-

    phobic interactions, especially in some modified polysac-

    charides (block and graft copolymer types). This paper is

    based mainly on our own work in which the same methods

    for purification, characterization and analysis of physical

    properties have been developed.

    In the following examples, only aqueous solutions are

    considered: the nature of the water solvent is very important

    in controlling the behavior of water-soluble polysaccharides

    and its high dielectric constant results in a large contribution

    of electrostatic interactions. In this respect, water plays a

    crucial role: i) it causes repulsion between same chargedspecies to prevent the collapse and attraction between

    oppositely charged entities,and ii) it hasa role in theentropic

    formation of hydrophobic interactions and also forms a

    hydration shell around solute molecules because of its

    dipolar character. Bulk water forms a highly cooperative

    hydrogen-bonded network,in which the solute willexchange

    water molecules during dissolution, which leads to a new

    distribution of hydrogen bonds.[1]

    It is also clear that one type of non-covalent bond is usually

    not independentfrom others and the properties of the systems

    result in a delicate equilibrium between the different contri-

    butions, among which one dominates, depending on theactual thermodynamic conditions.

    Hydrophobic Interactions

    Amphiphilic molecules dispersed in aqueous media disturb

    the water structure. The hydrophilic polar part of the mole-

    cules interacts with water (with hydrogen-bond formation

    and ion hydration) and the hydrophobic parts interact to

    form a hydrophobic domain to reduce contact with water.

    From this organization, interesting new properties may

    Summary:This paper describes the behavior of some poly-saccharides with well-known chemical structures and in whichthe influence of cooperative secondary interactions play animportant role. The roles played by hydrophobic and ionicinteractions (including ionic selectivity) on polysaccharideconformation and gelation are discussed. Electrostatic attrac-tions are also important in the complexes formed betweensurfactants and polyelectrolytes of opposite charge. Finally,van der Waals dipolar interactions and particularly hydrogen-bond formation are examined. The role of hydrogen bonds insolubility, conformation, and especially the local stiffness ofpolysaccharides, but also in polymerpolymer complexesfrequently obtained with polysaccharides, is developed.

    Repeat unit for a number polysaccharides.

    Macromol. Biosci. 2006, 6, 590610 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

    590 DOI: 10.1002/mabi.200600053 Feature Article

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    occur. Two types of systems are examined here, based

    on the chemical modification of natural polysaccharides:

    methylcelluloses, which are neutral polymers, and alkyl-

    ated chitosans, which are positively charged polymers

    under acidic conditions. These two types of polymers have

    an amphiphilic character because of the hydrophobic part

    introduced by chemical modification and the hydrophilicpart composed of the polysaccharide backbone. They are

    sensitive to temperature, salt concentration, and the nature

    of the hydrophobic part.

    Methylcelluloses

    Commercial methylcelluloses are usually obtained by

    methylation of semi-crystalline cellulose in the solid state;

    the reaction is heterogeneous because of differences in

    reactivity of the amorphous and crystalline zones. In our

    work, it has been clearly demonstrated that commercial

    methylcelluloses have a blockwise distribution of highlymethylated parts of thecellulosic chains. It hasbeen known for

    a long time that these block copolymers behave in a very

    unusual way in aqueous solution, to show a sol gel transition

    at around 60 8C. This gelation induced by an increase in

    temperature is directly related to the hydrophobic character-

    istics of the polymer. The mechanism of gelation has been

    examined on different commercial samples. Methylcelluloses

    have been prepared in our laboratory under homogeneous

    conditions and their behavior has been compared with

    heterogeneous polymers.[25]

    The first difference between the two types of methylcellu-

    loses (homogeneous or heterogeneous) is that the solubility

    is shown to depend on themethyl group distribution along the

    chain. Homogeneous samples become water-soluble when

    the degree of substitution (DS fraction of OH groupssubstituted per D-glucose unit) is around 0.9, a value that is

    enough to prevent the packing of the cellulosic chains in the

    dried state. With heterogeneous methylcelluloses, a DS of

    1.3 is needed for solubilization in relation to the existenceof non-substituted zones (Figure 1).

    In Figure 2, the rheology of a commercial methylcellu-

    lose from Dow Chemicals (sample A4C) at a polymer con-centration (10 g L1) larger than the overlap concentrationC* as a functionof temperature is given. From this, it can be

    observed that the situation is relatively complex: between

    35 and 55 8C, a clear loose gel is formed for which G0 >G00

    (at 1 Hz) followed by a strong increase of the G 0 modulus

    above 60 8C. This second transition step occurs when the

    polymer concentration is higher than the overlap concen-

    tration (around 2 g L1 for this sample) and this gel isturbid. The gelation corresponds to a phase separation for

    this low critical solution temperature polymer at a critical

    temperature around 29 8C, for which the phase diagram for

    this study is given in Figure 3.[6] The gelation is reversible

    but with a large hysteresis as shown in Figure 4; this pheno-

    menon has been observed not only by rheology but also by

    DSC (differential scanning calorimetry) (Figure 5).[7]

    Hysteresis is often observed in physical gelation and seems

    to be related to the degree of aggregation of chains and the

    Marguerite Rinaudo has a Master degree (1964) and a Ph.D. (1966) from the University of Grenoble

    (France) on physico-chemical properties of polyelectrolytes; her work was devoted to the synthesis and

    solution properties of carboxymethylcelluloses. From that time, she continued to develop her research

    work on water-soluble polymers and especially on polysaccharides (cellulose, starch and chitosanderivatives, hyaluronan and other bacterial polysaccharides, seaweed polysaccharides); in her

    laboratory she settled up a series of equipments and methodologies to investigate the specific behavior

    of polysaccharides, which have to be considered as semi-rigid polymers. She started as full Professor

    in 1968 at Joseph Fourier University (Grenoble-France); actually, she is Emeritus professor. During 12

    years (19841996), she has been the director of a CNRS institute named Centre de Recherches sur

    les Macromolecules Vegetales working on plant oligo- and polysaccharides. She received important

    awards from the French government (Chevalier dans lOrdre National du Merite (1984) et dans

    lOrdre de la Legion dHonneur (1998)); she became associate member of the Chilian academy of

    sciences (2005) and of the Brazilian academy of sciences (1991). She published more than 400 original

    papers and delivered more than 250 main lectures in international meetings. She also supervised more

    than 50 PhD thesis and she is member of the editorial board of 5 international journals (from which

    Biomacromolecules and Food Hydrocolloids).

    Figure 1. Repeat unit for a number polysaccharides. Cellulose:R OH, chitin: R NHCOCH3, chitosan: R NH2 orNHCOCH3depending on the acetylation degree (DA), alkylatedchitosan: R NH2 or NHCOCH3 or NH(CH2)nCH3depending on DA and on the degree of substitution DS.

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    stability of the aggregates formed. The same type of

    behavior will also be discussed later for k-carrageenan.

    The progressive aggregation of methyl groups has been

    observed by 13C NMR spectroscopy in the presence of

    dimethyl sulfoxide (DMSO) as a reference; the mobility of

    methyl substituents around 60 ppm is reflected by the ratio

    of the integral of the signal of O-Me in the C-6 position and

    that of the DMSO probe.[6] The results are given in Figure 6

    and clearly confirm the two steps. Gelation is induced by

    increasing the temperature but it also depends on the ionic

    concentration (Figure 7) and on the nature of the anion and

    cation that constitute the added salt. This behavior is

    characteristic of hydrophobic interactions.[5] The sequence

    for the second step of gelation, particularly as a function of

    the nature of the ions and relative to the ability to induce

    gelation at a given salt concentration (0.5 M) is as follows:

    - for sodium salts:Cl

    > NO3

    > without salt> I

    > SCN

    ,- for chloride salts: Na K>NH4

    >Li>withoutsalt,

    - for nitrate salts: Na K>NH4>without salt> Li.

    The first ion cited is the one that induces gelation at the

    lower temperature.

    For homogeneous methylcelluloses the enthalpy obtained

    by DSC remains very low and corresponds to loose inter-

    actions between the modified cellulosic chains. From these

    conclusions, the following mechanism is proposed: the clear

    gel is attributed to the interaction of highly substituted zones

    of the cellulosic chains; the second phase separation then

    occurs, which involves the residual polymer, and the turbidgel is formed with a large increaseof thegel modulusoverC*.

    Alkylated Chitosans

    Chitosan is a modified natural polysaccharide obtained by

    deacetylation of chitin, a constituent of the crustaceous

    shells of crabs and shrimps.[8] Chitosan is a linear polymer

    formed of partially acetylated b-(1 ! 4)-D-glucosamine(Figure 1). It is soluble in acidic aqueous media by pro-

    tonation of the NH2 groups at the C-2 position; it becomes

    a polycationic polymer whose charge density depends on

    Figure 2. Influence of temperature on the rheological behavior of a commercialmethylcellulose in water. Sample A4C: DS 1.7, Cp 10 g L

    1, G0 is thestorage modulus, and G 00 the loss modulus measured at o 1 Hz. Heating rate0.5 deg. min1.[5]

    Figure 3. Phase diagram of commercial methylcellulose sampleA4C (DS 1.7) in water, with the cloud point curve (&) and thesolgel transition line (&) determined by rheology. Reprintedfrom ref. [6], Copyright 2006, with permission of Elsevier.

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    the degree of acetylation and on the degree of protonation,

    depending on the concentration and nature of the acid used

    for protonation.[9,10] It should be notedthat theintrinsic pK0is around 6 and that chitosan is soluble in acidic media of

    pH < 6. In acidic conditions, chitosan, even when fully

    protonated, tends to form aggregates under different condi-

    tions of temperature, nature and concentration of the salt,

    etc., from which it has been concluded that aggregates are

    formed in solution as a result of hydrogen bonds and

    hydrophobic interactions.[11a] This hydrophobic character

    Figure 4. Rheological behavior of a commercial methylcellulose in water as afunction of successive heating and cooling. Sample A4M: DS 1.8,Cp 15 g L

    1,G0 is the storage modulus, andG00 is the loss modulus measured at o 1 Hz.[5]

    Figure 5. Thermogram obtained from a DSC experiment on heating and cooling of a solution of acommercial methylcellulose. Sample A4C: DS 1.7, Cp 30 g L

    1, temperature variation rate0.5 deg. min1. Reprinted from ref.[6], Copyright 2006, with permission of Elsevier.

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    is not only based on the presence ofN-acetyl groups but also

    on the main polysaccharide backbone as mentioned below.

    The reactive C-2 position allows specific reactions,

    especially reductive alkylation with aldehydes. Aldehydes

    of different chain lengths (from 3 to 14 carbon chains,

    named C3 up to C14) have then been grafted onto the

    chitosan backbone to give original properties in aqueous

    solution.[12,13] It is recognized that the properties depend on

    the degree of alkylation, the length of the alkyl chain,

    temperature, pH, and on the polymer and salt concentra-

    tions, as shown in Figure 8. The alkyl chains with a C12length start to give large interchain interactions, even at

    concentrations lower than the overlap concentration, to

    become a physical gel depending on the ionic concentra-

    tion.[13] The hydrophobic interactions are counter-balanced

    by electrostatic repulsions that depend on the net charge of

    the chitosan (i.e., on the pH) progressively screened by the

    addition of salt. Alkylated chitosan with a C12 alkyl chain

    (named Chit-C12) is soluble in 0.3 Macetic acid, which is a

    good solventfor unsubstituted chitosan with a characteristic

    rheological solution behavior (G00 >G0 over a large frequ-ency range). The complex viscosity for 6 and 10 g L1 is

    nearly Newtonian in the frequencyrangecovered(Figure 9A).In the presence of sodium acetate salt, even at concentrations

    as low as 0.025 M, the complex viscosity becomes largely non-

    Newtonian because of loose inter-chain interactions. Gel-like

    behavior (G0 >G00) is obtained over 3 g L1 as shownearlier.[13] In Figure 9B, solution behavior with G0 G00) when some electrostatic interactions are screenedby the addition of salt (Table 1).

    The role of pH and temperature is shown in Figure 10.

    When the pH increases, the net charge of the polymer

    Figure 6. Relative intensity of the signals obtained forthe OMesubstituent at the C-6 position by 13C NMR spectroscopy as afunction of temperature for a methylcellulose in D2O.Sample A4C: DS 1.7,Cp 44.6 g L

    1. Reprinted from ref.[6],Copyright 2006, with permission of Elsevier.

    Figure 7. Influence of salt concentration on the rheological behavior of a commercialsample as a function of temperature in aqueous medium. Sample A4M:Cp 10 g L

    1,G0

    is the elastic modulus, and G00 is the viscous modulus measured at o 1 Hz.[5]

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    (related to the degree of protonation, a) decreases, hydro-

    phobic attractions dominate, and gel-like behavior is

    observed with a large increase in the apparent viscosity

    followed by a phase separationunder a criticalvalue ofa. At

    the same time, it is shown that raising the temperature

    increases the observed maximum viscosity. This behavior

    provides evidence of the existing balance between electro-

    static repulsion and hydrophobic attraction, with results

    summarized in Figure 11.[14]

    The bulk properties of these associating polymers are

    very important for use as thickeners with an important non-

    Newtonian character, because of the loose and reversible

    inter-chain interactions. This mechanism is well demon-

    strated when b-cyclodextrins (CDs) are added to C12

    alkylated chitosan. Thevery high viscosity is reduced by the

    progressive addition of CD because of alkyl chain/CD

    complex formation, which leads to chain separation and

    viscosities typical of derivatives with shorter alkyl chains

    (Figure 12).[13] The micelle-like junctions form hydro-

    phobic domains in a semi-dilute regime as shown by

    modification of the fluorescence spectrum of pyreneadded as a probe in solution. The fluorescence spectrum

    of pyrene is modified in relation to the polarity of the

    environment. It has been shown that these hydrophobic

    domains are able to adsorb hydrophobic substances such as

    taxol or B2vitamin and behave as a reservoir for controlled

    drug release.[15,16]

    Another important characteristic of amphiphilic poly-

    mers is their interfacial activity. It has been shown that

    alkylated chitosan moderately decreases the air/water and

    oil/water interfacial tension but the effect increases with

    alkyl chain length, as shown previously.[13,1720] In addi-

    tion, it has been shown that the mechanical properties of the

    interfacial film formed are completely changed compared

    to those of simple surfactants.[21]

    A cooperative interaction, normal with polyelectrolytes,

    is obtained between chitosan and oppositely charged

    surfactants, which leads to a surfactant-polyelectrolyte

    electrostatic complex (SPEC).[1921] The interfacial film isa nanostructured film stabilized by strongly interacting

    surfactants and is able to encapsulate molecules.[20,22,23]

    Capsules have been obtained from a chitosan gel layer

    cross-linked by charged surfactant micelles and used to

    encapsulate enzymes as mentioned by Babak et al.[20,22,23]

    The difference between a SPEC and alkylated chitosan

    having the same density of alkyl chains with the same

    length per polymeric chain is very important. In fact, in the

    covalently alkylated derivative, a random distribution

    of the alkyl chain substituents is obtained under the

    experimental conditions adopted,[12] while in a SPEC

    there is a cooperative interaction between alkyl chains ofthe surfactants, which involves few polymeric chains as

    soon as the distance between the ionic sites along the

    polyelectrolyte is in the range of 0.5 nm, as claimed by

    Osada and co-workers.[24] A critical aggregation concen-

    tration (c.a.c) has been found from surface tension

    measurements to be around 100 times smaller than the

    critical micelle concentration (c.m.c) of the surfactant

    alone.[19] The role of sulphated N-acyl chitosan (S-Cn-

    Chitosan)on a lipidic membrane hasbeen compared to that

    of sodium dodecyl sulfate (SDS). SDS dissociates the

    membrane while the polymer increases the rigidity of the

    membrane, which suggests low toxicity on bioorganisms.

    In solution when the alkyl chain in S-Cn-chitosan is longer

    than n 10,these polymers form more stablemicellesthanthe micelles formed with the same alkyl chain surfac-

    tant.[25] An extension of this interaction comes in the field

    of food application. It involves specific interactions with

    phospholipids and bile acids.[26]

    Ionic Interactions

    A solution of charged polysaccharides has an original

    set of properties as a result of electrostatic interactions

    that involve all the ionic species in solution. The firsttype of interaction involves attraction between polyions

    and oppositely charged ions such as counter-ions, ionic

    surfactants, or polymers. The second is repulsion between

    species with the same charge such as long-range electro-

    static interactions between chains that cause unusual

    viscosity behavior, which reaches a maximum when the

    reduced viscosity is plotted as a function of polymer con-

    centration at lowionic concentration or in light scattering or

    neutron scattering under the same conditions.[2729] This

    second type of electrostatic interaction will not be covered

    in this paper.

    Figure 8. Viscosity of alkylated chitosan in 0.3 M AcOH/0.1 MAcONa at zero shear rate as a function of polymerconcentration at25 8C. (&) Chitosan, (*) Chit-C6, (~) Chit-C8, (^) Chit-C10, and (&) Chit-C12. Reprinted with permission from

    ref.[13]

    , Copyright 2006, American Chemical Society.

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    Counter-Ion Interaction and Ionic Selectivity

    Electrostatic interactions between a charged polymer and

    counter-ions in the absence of external salt is governed by

    the electrostatic potential around the polyelectrolyte as

    exposed in the Katchalsky or Manning theories.[30,31] The

    linear charge density imposes the activity coefficient of the

    counter-ions as well as the limit over which ionic selectivity

    appears related to the condensation limit, as proposed by

    Manning. These theories have been compared in a previous

    Figure 9. Role of salt on therheological behavior of alkylatedchitosan(Chit-C12) as a function offrequency at 10 8C:A) complex viscosity in 0.3 MAcOH (^ 6 and & 10 g L1) and in 0.3 MAcOH/0.025 MAcONa (} 6 and &10 g L1),; B) storage (G0 &) andloss(G00&) moduliin 0.3 M AcOH and G0 (*) and G00 (*) in0.3 M AcOH/0.025 MAcONa. Polymer concentration: 10 g L1.

    Table 1. Influence of salt concentration on the rheology of alkylchitosan. (Concentration 10 g L1;o 1 Hz.)

    Solvent G0 G00 jZ*j

    Pa Pa Pa s

    0.3 M AcOH 1.75 3.73 0.660.3 M AcOH/0.025 M AcONa 6.75 5.79 1.42

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    paper on solution properties (activity coefficients) of a

    series of carboxymethylcelluloses with different degrees of

    substitution.[32] It is known that electrostatic ionpolyion

    interactions become independent of the chain length as

    soon as the degree of polymerization is larger than a value of

    approximately 20. The different main electrostatic proper-

    ties of some polysaccharides have recently been described,

    based on some of our results.[29] From a general point view,

    and based on these theories, it is possible to predict with

    reasonable confidence the activity coefficient of counter-

    ions in the absence of external salt in purified ionic poly-

    saccharides as soon as the structure is known (nature of

    the chain, degree of substitution, actual conformation and

    distribution of the ionic sites along the polymeric chains).

    With regard to these systems, it has also been shown that for

    a charge parameter larger than 1, ionic selectivity occurs, as

    demonstrated by different methods but the most clearly by

    ultrasound absorption.[33,34] This behavior has clearly been

    demonstrated for carboxymethylcelluloses obtained by

    homogeneous substitution on the laboratory scale, where

    the ionic selectivity is found to be:

    Li >Na > K >Cs > TEA

    with Li forming more ion pairs and tetraethyl ammonium,

    a large hydrophobic ion used as reference, being inactive.

    Data concerning different aspects of counter-ion interac-

    tions are described below.

    For gellan and k-carrageenan, particularly in salt free

    solutions, it hasbeen demonstrated that over a critical polymer

    concentration (which also meansa critical ionic concentration

    Cs*), at a given temperature, a double helix forms that is

    stabilized by hydrogen bonds. When the temperature is

    increased, destabilization of the hydrogen bonds induces a

    transition to a more flexible coiled conformation as observedby NMR spectroscopy, optical rotation, or viscometry. The

    example obtained forgellan is givenin Figure 13, in which the

    reduced viscosity decreases sharply around 30 8C. This

    phenomenon will be discussed later but it must be pointed

    out that the charge density in the helical conformation is

    double that of the coiled conformation (Table 2). The electro-

    static interaction with counter-ions then increases during the

    coil-helix transition as demonstrated by a decrease in the

    activity counter-ion.[35,36] An example is given in Figure 14

    fork-carrageenan, where counter-ion activity is plotted as a

    function of the polymer concentration (corresponding to an

    Figure 10. Reduced viscosity of alkylated chitosan (Chit-C12)under thechlorhydrate form in water as a function of the degree ofprotonation (a) at different temperatures. Polymer concentration:0.9 g L1, DS 0.04. Reprinted with permission from ref.[14],

    Copyright 2006, Wiley-VCH Publishers, Inc.

    Figure 11. Phase diagram forChit-C12 deduced from the resultsof Figure 10. Reprinted with permission from ref. [14], Copyright2006, Wiley-VCH Publishers Inc.

    Figure 12. Influence of the progressive addition of b-cyclo-dextrin on the viscosity of chitosan and alkylated chitosansolutions at 2 g L1 and 25 8C. (^) Chitosan, (&) Chit-C6,(~) Chit-C8, (*) Chit-C10, and (^) Chit-C12. The ratio [CD]/[Cx] is the molar ratio of CD and of alkyl chains with differentchain lengths (x). Reprinted with permission from ref.

    [13],Copyright 2006, American Chemical Society.

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    increase in the ionic concentration and a screening effect of

    the repulsions between ionic sites on the chains). It is shown

    that the activity coefficient for Na remains nearly unchanged

    with ionic concentration and temperature in the domain

    covered, thevalue of which corresponds to the prediction fora

    single chain potential. At a lower temperature (15 8C) for K

    counter-ions, a transition is observed that reduces the activity

    coefficient by nearly half the initial value, which corresponds

    to the formation of a dimer. The temperature for the confor-

    mational transition Tm is directly related to the total ionic

    concentration, as represented by a phase diagram proposed for

    k-carrageenan and gellan. A linear plot is obtained when the

    temperature of conformational change values (Tm) obtained

    from the cooling curves by optical rotation, conductivity, or

    viscosity, are represented for different polymers and external

    salt concentrations (Figure 15).[3537] These phase diagrams

    separate coil from double helical conformations as a function

    of ionic concentration and temperature. It should be recalled

    that, from this graph (see Figure 15a) over a critical ionic

    concentration (Cs**) (which may be larger than Cs*) the

    double helices associate to form a gel; these critical values for

    gellan andk-carrageenan have been discussed previously.[36b]

    An important difference between these two polymers is that

    no ionic selectivity between monovalent counter-ions is

    observed for gellan, which has a lower charge parameter.

    With gellan, divalent counter-ions favor the helix transi-

    tionasseeninFigure15b,butwith k-carrageenan, only small

    differences between divalent counter-ions are observed.[35]

    The phase diagram lines for divalent counter-ions (Ba, Ca,

    Sr, Mg, Zn, and Co) are very close together, parallel to those

    of Na and K counter-ions, and located just between their

    two lines.

    Figure 13. Reduced viscosity as a function of temperature for gellan under sodium andpotassium salt forms. Concentration 0.3 g L1 at 0.025 M salt concentration. Reproducedwith permission of John Wiley & Sons from ref.[36a]

    Table 2. Activity coefficients of monovalent counter-ions and molecular weights of polysaccharides in relation to their conformation.

    Polysaccharide lchargeparameter

    gactivitycoefficientcalculated

    gactivitycoefficient

    experimental

    Mw Ref.

    K-carrageenan coil 0.68 0.72 0.37 3.4 105 [35]15 8C, K form (helix);

    Cp > 102 monomol L1

    helix 1.65 0.37

    K-carrageenan 0.72 1.76 105 [35]45 8C, K form (coil);

    Cp < 103 monomol L1

    Gellan Na form coil 0.37 0.83 0.67 4.9 105 [36a]18 8C (helix) helix 0.75 0.69Gellan Na form 0.76 2.5 105 [36a]26 8C (coil)

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    The nature of the counter-ions and ionic selectivity is

    an interesting effect based on specific interactions that

    involve hydration of the ionic species. Spectroscopic techni-

    ques have been used to point out the existence of ionic

    selectivity that occurs when the charge parameter is larger

    than a value of 1.[34] By ultrasound absorption, which is a

    good technique to investigate ion pair formation based on

    perturbation of the solvation shells, it has been demonstrated

    fork-carrageenan that even if the charge parameter is lower

    than 1, ionic selectivity in the coil conformation can be

    demonstrated with K forming more ion pairs then Na.[38]

    This also shows that the same selectivity plays a role to

    induce the coilhelix transition and control the stability of

    the double helix and that of the gel formed. The formation of

    more ion pairs further reduces the net charge of the polymer,

    which favors the association of two chains to form a double

    helix and then association for gel formation. The ionic

    selectivity observed for gellan in solution plays a role in the

    ability to associate, as shown by the increase in viscosity

    under the K form (Figure 13), but also on the mechanical

    properties of the gel formed (Figure 16).

    Anion selectivity also exists in carrageenan as demon-strated by NMR spectroscopy.[39] It has also been shown

    that I has a specific interaction with k-carrageenan, to

    stabilize the helical conformation and prevent the aggrega-

    tion of double helices and gelation.[40,41] The mechanism of

    interaction between anions and this negatively charged

    polymer is still not clear but the fixation of I certainly

    increases the charge density of the polymer and increases

    the electrostatic repulsions between the double helices.

    The same conclusions and the same model for gelation

    given fork-carrageenan are also valid for gellan. The only

    difference is that, because of the lower charge density of the

    coiled conformation, no ionic selectivity is observed with

    gellan, though it does appearwhenthe doublehelix is formed

    (Figure 15b).[36,37] The ionic selectivity then appears for the

    double helix conformation with the ability to induce gelation

    withthe following sequenceamong monovalentcounterions:

    K>Na>Li> TMA.At the same time it has been shown that the physical

    properties (E, the elastic modulus and the stress at breakFmdetermined in compression experiments) of the gel are

    controlled by the nature of the counter-ions (Table 3).[37]

    Ionic selectivity is also recognized in alginates and pectins

    in the presence of divalent counter-ions. On a poly(1,4-D-

    galacturonic acid) (fully demethylated pectin), the transport

    coefficient determined from conductivity (not far from the

    activity coefficient) indicates a specific behavior for Mg

    counter-ions compared with the other divalent counter-ions

    (Table 4).[42] From these results it was concluded that under

    Na and Mg salt forms, the general behavior of single chain

    polyelectrolytes is confirmed, while with Ca, Ba, and Sr, a

    double chain structure is stabilized.[42,43] These results are in

    agreement with previous data by Kohn et al. and the egg-box

    model mechanism first suggested for alginate by Rees and co-workers.[44,45] In addition, an interestingrelation is madewith

    the ability to form a gel: Na and Mg forms are water soluble

    while the other forms are not, while Ca, Ba, and Sr are known

    to induce gelation with an ionic selectivity corresponding to

    Ba> Sr> Ca for the ability to form a gel (Figure 17).[46,47]

    The same sequence of selectivity and the mechanism are

    involved for gelation of alginates in the presence of divalent

    counterions.

    Pectins with different degrees of esterification (DE) have

    been prepared; demethylation is performed under alkaline

    conditions (giving a random distribution of the carboxylic

    Figure 14. Activity coefficient of monovalent counterions (K and Na) as a function ofpolymer concentration (Cp) at 15 and 35 8C. Reproduced with permission from ref.

    [35a],Copyright 2006, American Chemical Society.

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    sites) and using an enzyme (giving a blockwise distribution of

    free carboxylic groups). The charge parameterof the polymers

    that have the same intermediate degree of methylation

    (DE 30) but different distributions does not behave in thesame way in relation to electrostatic interactions. Even if the

    average charge parameter is the same, the local electrostatic

    fields are not; the blockwise distribution (at least eight

    carboxylic groupsper block)hasthe same chargeparameter as

    the fully demethylated polymer (but not the average value

    based on the degree of esterification). The gelation ability then

    depends on the charge distribution as shown in Figure 18.[46] It

    also plays a role in cell wall structure.[48]

    Figure 15. Phase diagram giving the inverse of the temperature that corresponds to theconformational changeTmas a function of total salt concentration CT: a) for k-carrageenanunder sodium and potassium salt forms; Cs** is the critical salt concentration above whichgelation occurs. Reprinted with permission from ref.[35a], Copyright 2006, AmericanChemical Society. b) For gellan under monovalent (Na, o K, ~ TMA, and ~ Li) anddivalent counterions (& Ca and & Mg). Reprinted from ref.[36b], Copyright 2006, withpermission from Elsevier.

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    Polyelectrolyte Complex

    The most important systems developed recently are the

    electrostatic complexes that are formed when two polymers

    with opposite charges are mixed. With alginate or HA in

    particular, a pH-dependent complex is formed in the

    presence of chitosan, whose stability depends on ionic

    concentration and pH. Complexformation has been investi-

    gated in dilute solution by pH-potentiometry and conductiv-

    ity to determine the fraction of ion pairs (COO/NH3)

    formed, depending on the experimental conditions.[49,50]

    Interactions between chitosan and alginate give an electro-

    staticcomplex that has been mostly used so far for biological

    applications. The main applications of these electrostatic

    complexes cited are antithrombogenic materials, controlled

    release materials, encapsulation of drugs, immobilization of

    enzymes and cells, and gene carriers. One aspect of thesecomplexes now under development is the preparation of

    layer-by-layer polyelectrolyte capsules or films based on

    charged biocompatible polysaccharides or chitosan/syn-

    thetic polyelectrolytes.[51,52] Porous gels (sponges) can be

    prepared by forming a calcium alginate gel stabilized by

    complexation with galactosylated chitosan (a water-soluble

    derivative).[53] Another type of complexed bead can be

    obtained by the drop-wise addition of Na-alginate into a

    chitosan-CaCl2 solution; the swelling of the beads being

    different from that of Ca-alginate beads with a maximum

    swelling at pH 9.[54]

    Dipolar Interactions and Hydrogen-BondNetwork Formation

    Hydrogen bonds are loose dipolar interactions that involve

    hydrogen atoms interacting with highly electronegative

    atoms such as oxygen or nitrogen. Hydrogen-bond inter-

    action analysis is very important to understand the

    physicochemical properties of polysaccharides in aqueous

    solution. These polymers are very rich in OH groups or

    C O. At low temperatures, hydrogen bonds can be formed

    to give rise to intrachain or interchain networks. Interaction

    with the solvent (water) is also favored in relation tosolvation and dissolution. Usually, the existence of ionic

    sites along the chains prevents interchain interactions,

    which exist for neutral polysaccharides. The situation of

    galactomannans is clear in this respect and has been

    discussed previously;[55] in this case loose interactions

    exist, which lead to loose gel-like behavior in solution.

    Solubility

    From a general point of view, the greater theinteraction of a

    solute with solvent molecules, the greater the solubility. In

    Table 3. Physical properties of gellan in the gel form underdifferent ionic forms. Gellan concentration Cp 10 g L

    1; saltconcentration [XCl] 0.1 M. Reprinted from ref. [36b], Copyright2006, with permission from Elsevier.

    X E(104) Fm

    Pa N

    Li 0.44 Na 11.9 13.3K 31.4 23.1

    Figure 16. Elastic modulusE for purified gellan under potas-sium () and sodium (*) forms as a function of polymerconcentration in salt excess. Salt concentration 0.1 M, temperature25 8C. Reprinted from ref.[36b], Copyright 2006, with permissionfrom Elsevier.

    Table 4. Transport coefficient obtained by conductivity fordifferent counterions in a poly-D-galacturonate solution.Reprinted from ref. [42], with permission of John Wiley & Sons.

    Counter-ion Transport coefficient of polygalacturonatea)

    Na 0.62Ba 0.095Ca 0.11Sr 0.11Mg 0.28

    a)lcharge parameter for a single chain 1.58 and for a doublechain 3.16.

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    fact, solubilization of polysaccharides is a difficult problem

    because of the existence of a cooperative network formed

    by interchain hydrogen bonds. The difficulty in solubilizing

    such a system in water comes from too high a temperature

    and total dehydration when purified polysaccharides are

    first isolated making OH groups no longer accessible to

    interact with water molecules. The existence of charged

    groups such as SO3 or COO favors the dissociation of

    Figure 17. Influence of the progressive addition of divalent counter-ions on thecritical gel point for polygalacturonic sodium salt form followed by light scattering.Reproduced with permission from ref.[46], Copyright Society of Chemical Industry.Permission granted by John Wiley & Sons Ltd on behalf of the SCI.

    Figure 18. Influence of the distribution of carboxylicgroups along the polygalactur-onic chain for DE 30 pectins obtained by enzyme (PE: blockwise distribution) and byalkaline treatment (PH: random distribution) on gelation in the presence of calciumcounter-ions. Reproduced with permission from ref.[46], Copyright Society ofChemical Industry. Permission granted by JohnWiley & Sons Ltdon behalfof theSCI.

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    aggregates by electrostatic repulsion and increases the

    ability to fix water because of the presence of the ionic sites

    and their counter-ions.[56] The progressive hydration of HA

    has recently been studied by infrared spectroscopy.[5759]

    This shows why heterogeneous methylcellulose with a

    DS 1 is not water soluble while homogeneous samples are

    soluble, the dimension of the methyl substituents regularlydispersed along the chain prevent the packing of poly-

    hydroxylated molecules.

    In the majority of oligo- and polysaccharides, the hydro-

    philic character as a result of the OH groups is counter-

    balanced by the hydrophobic contribution of the CH entity

    of the glycosidic cycle and the ether-like O-4 and O-5 oxygen

    atoms.[60] Such hydrogen-bond formation and the additional

    hydrophobic character of polysaccharides have been demon-

    strated for chitosan under acidic conditions.[11a] With

    hyaluronan, the self association of segments in 0.15 M NaCl

    has also been discussed.[11b] These associations are related to

    the local stiffness of the polysaccharides which promotescooperative interactions.

    The interaction of water molecules with a model molecule,

    maltose, has been approached by molecular modeling.[61]

    The location of water molecules has been described (albeit by

    a dynamic process) and the results have been used to predict,

    with good agreement, the hydration of amorphous amylose

    (on average, 3.8 water molecules are firmly interacting with

    one D-glucose moiety). Experiments on amorphous amylose

    confirm the prediction and have been extended to acetylated

    starch in relation to the influence of the relative humidity on

    the mechanical properties of films.[62,63]

    Hydrogen bonds play an important role in solubility, as

    has recently been investigated for cyclodextrins.[64] The

    role of hydrogen bonds has been displayed by comparing

    their behavior in H2O a n d in D2O . In D2O, stronger

    hydrogen bonds are formed than in H2O and the solubility

    of CD decreased in D2O. We have also shown that when the

    helical conformation of polysaccharides is stabilized

    by intrachain hydrogen bonds, the conformation is more

    stable in D2O, as has been found with xanthan and other

    stereoregular polysaccharides. The example obtained for

    gellan in H2O and D2O is shown in Figure 19, where the

    optical rotation is plotted as a function of temperature,[36]

    and the double helix coil transition temperature increases

    by around 6 8C in D2O under the experimental conditionsused. Another interesting behavior in relation to hydrogen-

    bond formation has been obtained regarding hyaluronan

    viscosity (Figure 20).[65] When the pH decreases, the net

    charge of the polymer decreases as well as the electro-

    static repulsions between polysaccharide chains, which

    favors the stabilization of aggregates to give a gel-like

    behavior. In this situation, pH 2.4 may also represent apseudo isoelectric point as a result of an equilibrium

    between a few anionic groups from the uronic unit and the

    amino groups from the N-acetyl-D-glucosamine unit (see

    Figure 21).

    Conformation and Stiffness

    Hydrogen bonds play an important role in the local

    conformation of stereoregular polysaccharides as many of

    them adopt a helical conformation in the solid state, as has

    been established for gellan,[66] k-carrageenan,[67] hyaluro-

    nan,[68]

    chitin,[69]

    and xanthan.[70]

    In aqueous solution, undergiven thermodynamic conditions, they adopt an ordered

    conformation assumed to be helical, as displayed by circular

    dichroism, optical rotation, or NMR spectroscopy, while the

    conformational transition is induced by increasing the

    temperature or changing the ionic concentration.[3537,71,72]

    The transition results from a decrease in the attraction by

    hydrogen bonds when the temperature increases and the

    effect of electrostatic repulsions between ionic groups on the

    chain.

    The intrachain hydrogen bonds in such an ordered

    conformation are very important because they control the

    local stiffness of the polymer, reflected by its intrinsic

    persistence length (Lp), as seen, for example, for hyaluronan

    in Figure 21. SomeLp valuesare given in Table5. In relation

    to this rigidity, the worm-like chain model was introduced a

    few years ago to analyze the behavior of polysaccharides,

    the local stiffness of the polymer being characterized by an

    intrinsic persistence lengthLp.[73,74] For a charged polymer,

    it is necessary to introduce an electrostatic contributionLe(the total persistence length being Lt Lp Le at a givenionic concentration) following the Odijk development.[75]

    The local stiffness of the polysaccharides allows the high

    viscosity obtained to be interpreted for a given molecular

    weight compared to a flexible polymer. The Lp value,

    obtained in a large excess of salt, is characteristic of thelocal structure of the polysaccharides and can be predicted

    from molecular modeling, as recently shown.[7678]

    The experimental values of intrinsic viscosity and radius

    of gyration can, therefore, be interpreted as a function of the

    molecular weights of the polysaccharides. Theoretically,

    the persistence length Lp of a chain and the molecular

    weight directly control the radius of gyration Rg and the

    intrinsic viscosity [Z] on the basis of the worm-like chain

    model under y conditions, following the Benoit Doty

    equation:[79]

    R2gL Lp=3L2p 2L

    3p=L2L

    4p=L

    21expL=Lp

    1

    in which L is the contour length calculated from the

    chemical structure and the molecular weight (M). For high

    molecular weights, one can limit the analysis to the first

    right-hand term of Equation (1). The intrinsic viscosity is

    given by the formula proposed by Yamakawa and Fujii:[80]

    Z FM;Lp; dML=2Lp3=2

    M1=2 2

    withd, the hydrodynamic diameter, andML, the mass per

    unit length of the chain, which is known from the chemical

    structure.

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    Experimentally, the intrinsic viscosity [Z] (expressed in

    mL g1) can be obtained directly from steric exclusionchromatography (equipped with a refractometer, viscom-

    eter, and light scattering detectors on line) at the same time

    as the molecular weight but, more usually, it is determined

    in a separate experiment. It is obtained by extrapolation to

    zero polymer concentration of the reduced viscosity (Zred)

    of the polymeric solution plotted as a function of the

    polymer concentration (Cin g mL1) in accordance withthe Huggins relation:

    Zred ZZ0=Z0C Z k0Z2C 3

    in which Z is the viscosity of the polymer solution, Z0 the

    viscosity of the solvent, andk0 the Huggins constant.

    Figure 19. Determination of theconformational transition on gellanby optical rotationasa function of temperature in H2O () Tm 24 8C and in D2O (*) Tm 31 8C. Polymerconcentration 6 g L1. Reprinted with permission of John Wiley & Sons from ref.[36a]

    Figure 20. Complex viscosity of hyaluronan as a function of the pH at 25 8C.Polymer concentration 10 g L1, frequency 1 rad s1. Reprinted with permis-sion from ref.[65], Copyright 2006, American Chemical Society.

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    In dilute and semi-dilute solutions, the most important

    characteristic for applications of water-soluble polysac-

    charides is the thickening character of the solution, which

    depends on the intrinsic viscosity, molecular weight, and

    concentration of the polymerat a given temperature and in a

    given solvent.

    In this case, the viscosity of a polymer solution at zero

    shear rate is directly described by the following equation:[81]

    Zsp CZ1k1CZ k2CZ2 k3CZ

    3

    4

    in which k1 0.4, k2 k1/2!; k3 k1/3!. This relation isvery important, as it shows that the overlap parameter

    (C[Z]) controls the viscosity of the solution at zero shear

    rate and allows this behavior to be predicted. For a given

    polymer, under given thermodynamic conditions, all the

    viscosity values for different polymer concentrations and

    molecular weights appear on the same curve when plotted

    as a function ofC[Z]. Thek1value represents the Huggins

    constant and for many perfectly water-soluble polysac-

    charides it equals 0.4. All deviations from this reference

    curve indicate interchain interaction or aggregation, such as

    that observed with galactomannan.[55]

    The intrinsic viscosity is related to the molecular weightof the polymer, following the empirical MarkHouwink

    relationship:

    Z KMav 5

    in whichMv is the viscometric-average molecular weight,

    and Kand a are two parameters that depend on thepolymer,

    solvent, and temperature. The important thing is that poly-

    saccharides usually deviate from the behavior of synthetic

    polymers, which are flexible, and it is demonstrated that

    even under y conditions, for polysaccharides, the a

    exponent of the Mark-Houwink relationship is never equal

    Figure 21. Hyaluronan: A) repeat unit, B) local conformation of a segment of hyaluronan,representation of intrachain hydrogen bonds.

    Table 5. Intrinsic persistence length for different polysaccharidesobtained by molecular modeling and experiments at 25 8C.

    Polysaccharide Lp Ref.

    nm

    HAa) 8 [82]HAb) 7.5 [77]Xanthan Coila) 5 [73b]Xanthan Helixa) 40 [73b]Gellan Coila) 5 [36]

    Gellan Helixa) 35 [36]Chitinb) 12.5 [78a]Chitosan DA 0a) 10 [78b]Chitosan DA 0b) 9 [78a]Mannanb) 14.5 [76b]Galactomannan M/G 1:1b) 9.6 [76b]Galactomannan M/G 1:1a) 9.3 [76a]Alginate M/G 0.28a) 9 [73b]M/G 1.92a) 4 [73b]Succinoglycan Helixa) 35 [73b]Succinoglycan Coila) 5 [73b]

    a) Determined experimentally.b) Determined by molecular modeling.

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    to 0.5, excluding, for example, the direct use of the Flory-

    Fox relation.

    The persistence length of polysaccharides depends mainly

    on the intrachain hydrogenbonds.For example, it reducesthe

    mobility of the proton as determined by NMR spectroscopy

    and the signals obtained depend directly on the temperature,

    as has been described before and confirmed by molecular

    modeling for hyaluronan and chitosan.[82a,82c] A stronger

    effect is obtained when the helical conformation is stabi-

    lized; the mobility is reduced so much in a solution of

    polysaccharides in the helical conformation that all the

    characteristic broad signals disappear. When the temperature

    Figure 23. Storage modulus (&G0) and loss modulus (&G0) for a LBG/Xanthan (50/50) mixture in wateras a function of temperature on heating. Frequency 1 Hz.

    Figure 22. DSC thermograms obtained on heating (0.2 deg. min1) for xanthan/galactomannan mixture (4:2 g L1): a) in water, b) in 5 103 M NaCl, and c) in102 M NaCl. Tgel is the temperature for melting of the mixed gel and Tm is thetemperature for the conformational transition of xanthan. Reproduced withpermission from ref.[86], Copyright 2006, Wiley-VCH Publishers Inc.

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    increases under given conditions (salt concentration, nature

    of counter-ions, and polymer concentration), a conforma-

    tional transition is observed that corresponds to the appear-

    ance of the characteristic signals for protons, such as the

    results obtained for succinoglycan and gellan.[36b,71] This

    helix-coil conformational transition is related to the

    equilibrium between electrostatic repulsions and hydrogen-

    bond attractions.

    Polymer/Polymer Complex

    Usually, when two different polymers in solutionare mixed,

    a phase separation occurs, while in many polysaccharide

    systems in aqueous solutions cooperative interactions are

    established, which increases the viscosity up to physical

    gelation. This phenomenon is well known when xanthan is

    mixed with galactomannans or glucomannans.[8388] When

    deacetylated xanthan and galactomannan are mixed, it has

    been shown that two types of gel exist:

    - A low temperature gel that meltsat around 258C, which

    involves disordered xanthan (coil conformation) andgalactomannan with different mannose/galactose ratios at

    a low ionic concentration. These form an ordered complex

    stabilized by the hydrogen bond network, which is demon-

    strated by circular dichroism and differential scanning

    calorimetry (Figure 22).[8387]

    - A second type of gel formed in water or in the presence

    of salts especially with locust bean gum (LBG) galacto-

    mannan with a relatively high mannose/galactose ratio,

    with a melting point of around 60 8C as shown in Figure 23.

    The melting temperature is estimated from the crossing

    point ofG0 andG00 (Table 6).[88] The interaction is clearly

    demonstrated in Figure 24, where the storage modulus is

    plotted for the galactomannan and xanthan solutions

    (10 g L1 in water) as a function of frequency. From thesedata, it can be seen that a loose interaction exists for the

    xanthan/guar mixture as the modulus is larger than that of

    the corresponding additivity; a larger increase of the

    modulus is obtained for the mixture with LBG. In

    Figure 25, the change in behavior for LBG, from a

    viscoelastic solution to a gel (G0 > G00 in all the frequencyranges covered) is shown. The largest modulus is obtained

    after first heating above 70 8C and then cooling. It also

    shows that the modulus decreases in the presence of

    external salt but that the melting temperature increases

    (data not shown). The modeling of the interactions between

    the two polymers (xanthan/galactomannan) has been

    investigated by Chandrasekaran and Radha[89] and different

    hydrogen-bonding interactions may involve side-chain/

    side-chain interactions, main-chain/main-chain interac-

    tions, etc.

    Figure 24. Storage modulus as a function of the frequency for the different systems tested at 25 8C and10 g L1 in water.

    Table 6. Rheology of galactomannans, xanthan, and their 50:50mixtures. (Concentration 10 g L1; solvent H2O;o 1 Hz.)

    Sample G0 G00 j j TF(G0 G00)

    Pa Pa Pa s 8C

    Guar M/G 1.7 5.05 6.39 1.30LBG M/G 2.44 4.46 9.79 1.72Xanthan 18.06 5.52 3.02Xanthan/LBG 148.6 11.33 23.72 56.5Xanthan/Guar 16.13 7.87 2.87 50.9

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    Conclusion

    This paper covers the secondary interactions that exist in

    aqueous solution for a few representative polysaccharides.

    This includes the role of hydrophobic interactions in amphi-

    philic derivatives such as heterogeneous methylcelluloses,

    which areknown to form gels when the temperature increases.

    The mechanism of gelation and the influence of the different

    thermodynamic parameters are discussed. The role of

    heterogeneity of methyl group substitution (blockwise distri-

    bution) is clearly demonstrated. Grafted alkylated chitosans

    have original bulk properties and give rise to large increases in

    solution viscosity up to gelation, depending on the solvent

    composition as a result of the aggregation of grafted alkyl

    chains that form hydrophobic domains which act as points of

    contact. These derivatives also have interesting interfacial

    properties with the formation of stiff films able to stabilize

    emulsions.

    Ionic interactions are also of great interest. Charged

    polysaccharides are characterized by an electrostatic poten-

    tial, which imposes the counter-ion distribution dependingon the conformation. The activity coefficient of counter-

    ions may be predicted when confirmation and structure of

    the linear chain are known. For higher charge densities,

    ionic selectivity is shown to play an important role in some

    stereoregular polysaccharides. Ionic selectivity based on

    ion pair formation controls the stability of the conforma-

    tion, the more ion pairs that are formed, the more stable is

    the helical conformation that results in a balance between

    electrostatic repulsions and attractive hydrogen bonds. As a

    consequence of this, ionic selectivity is related to the ability

    of gelation and the mechanical properties of the gels.

    Finally, the importance of the hydrogen bond in these

    systems is discussed. They play a role in the local stiffness

    and persistence length and also rheological properties in

    solution. The cooperative hydrogen bonds allow the

    stabilization of the helical conformation whose stability

    depends on the temperature, salt concentration, and nature

    of the counter-ions. Hydrogen bonds are alsoinvolvedin the

    hydration and dissolution of polysaccharides. Interchain

    hydrogen bonds allow the formation of original cooperative

    polymer A/polymer B complexes, against the usual rule of

    polymer incompatibility.

    In all these secondary interactions, the microstructure of

    the polymers, their chemical structure, and the thermody-

    namic conditions (temperature, solvent composition, pH,

    salt nature) are all important for controlling the conforma-

    tion, interchain interaction, and stiffness of the chain, as

    well as the solution and gel properties.

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    Figure 25. Storage modulus (G0) and lossmodulus (G00)forLBG(!G0,!G00) and the mixture 50/50LBG/xanthan(}G0,^ G00) at 10 g L1 in water at 25 8C.

    608 M. Rinaudo

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