Chemically and Physically Cross-linked Gelatin Gels Dominique Hellio and Madeleine Djabourov

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Chemically and Physically Cross-linked Gelatin Gels Dominique Hellio and Madeleine Djabourov Laboratoire de Physique et Mecanique des Milieux Heterogenes, Ecole de Physique et Chimie (ESPCI) 10, Rue Vauquelin, 75231 Paris Cedex 5 France Phone: 33 1 40 79 45 58 Fax: 33 1 40 79 47 95 e-mail: Madeleine.Djabourov@espci.fr Gelatin gels are widely used in many applications including food, photographic, pharmaceutical, biomedical and technical applications. Using the same macromolecule in solution (collagen denatured during extraction and dissolved in water) two types of gels can be obtained: the physical gel which is thermo-reversible and which is obtained when the solutions are cooled, due to the conformational transition of the gelatin chains from coil to triple helices and a chemical gel which results from the cross-linking of the chains induced by certain reagents, which were added to the aqueous solution. In general, the chemical reaction proceeds in the temperature range where the physical gel is not observed, in the high temperature range, thus the two gelation mechanisms can be observed independently. For food and pharmaceutical applications, only the thermo-reversible gel is used, the gel is supposed to melt in the mouth or in the stomach. For photographic applications, both types of gels must be present : the physical gel is formed in fist place during film coating and it entraps the silver halide crystals in suspension, while the chemical cross-linking is necessary to preserve the gel from entire dissolution during the various steps of the photographic developments. In an intermediate range of temperatures, both gels can form simultaneously and the two mechanisms of gelation are in competition. In this presentation we show the results obtained when the two mechanisms are independent. The experiments deal with both rheological (rheometer AR 1000 from TA instruments) and structural properties. For physical gels, from optical rotation measurements (Perkin Elmer 341 Polarimeter) one can calculate the concentration of helices for different types of gelatins, different gelatin concentrations, temperature treatments, time It was found, for all these experiments, that the storage moduli of the gels, G, measured in the same conditions as the optical rotation are uniquely related to the concentration of helices (1,2). Figure 1 shows an example of the master curve obtained with both fish and mammalian gelatins. 10000 The percolation regime 1000 G' (Pa) 100 cod 4.5% g/cm 3 T = 1.2 C cod 8% g/cm 3 T = 0.8 C tuna 4.5% g/cm 3 T = 10 C 10 tuna 8% g/cm 3 T = 10 C A1 8% g/cm 3 T = 10 C Gelation threshold 1 0.00 0.01 0.02 0.03 0.04 0.05 c hel (g/cm 3 ) Fig.1 The master curve for the elasticity versus helical concentration for any type of gelatin.

The chemical reaction inducing gelation was followed by microcalorimetry (MicroDSC III from Setaram, Caluire, France). The cells used for these experiments are the mixing cells made of two chambers, one containing the gelatin solution and the other the dissolved reagent. The valve separating the two chambers is suddenly opened and the liquids are mixed. The exothermic reaction starts and the released heat is measured versus time. The reagent used in our case is the bis(vinylsulfonyl)methane (BVSM) kindly provided by Kodak Industries (France). The reagent combines with the amino-acid groups such as Lysine, Hydroxylysine and Histidine. Each BVSM molecule provides two covalent bonds. When the reaction is limited by the amount of reagent, one can establish a calibration curve which measures the enthalpy of formation per C-N bond. We found an average of 40.6 kj/mole per C-N bond, as shown in figure 2. 1600 1400 Total heat released (kj.m -3 ) 1200 1000 800 600 400 200 0 0 5 10 15 20 25 30 35 initial concentration of BVSM (mol.m -3 ) Fig. 2 The calibration curve giving the heat of reaction per C-N bond between BVSM and gelatin. For different amounts of reagent and different gelatin concentrations, we were able to follow the rheological and thermodynamic aspects of the gelation process. The correlation between the two types of measurements puts into evidence the critical domain of the sol-gel transition for the chemical cross-linking of gelatin. 1. Christine Joly-Duhamel, Dominique Hellio and Madeleine Djabourov, Langmuir, 2002, 18, 7208 2. Christine Joly-Duhamel, Dominque Hellio, Armand Ajdari and Madeleine Djabourov, Langmuir, 2002, 18, 7158

Chemically and Physically Cross-linked Gelatin Gels Dominique Hellio and Madeleine Djabourov Laboratoire de Physique et Mecanique des Milieux Heterogenes, Ecole de Physique et Chimie (ESPCI) 10, Rue Vauquelin, Paris 75231 Paris Cedex 5 France GelSympo2003, Kashiwa, 17-21 November 2003

OUTLINE OF THE PRESENTATION INTRODUCTION : Bio-diversity of gelatins of various sources: mammalian and fish gelatins 1. The physical aspects of gel formation ; structure and rheology 2. The master curve for elasticity of the physical gelatin gels. Interpretation 3. Chemical gelation in presence of a cross-linker. Hints for interpretation OUTLOOK and CONCLUSIONS

INTODUCTION Biodiversity of gelatins Y Mammalian and fish collagens Y The amino acid compositions of collagen and the physical properties of gels

tuna 2 m 3

cod 80 cm 4

megrim 40 cm 5

Imino-acid composition of gelatins and melting temperatures of corresponding collagens Imino-acid (g/100g protein) Bovine Gelatin Pig skin gelatin Tuna Sole or megrim Cod Pro 13.03 13.99 11.61 12.86 10.29 Hypro 12.23 11.15 10.49 9.06 6.72 Total 25.26 25.14 22.1 21.92 17.01 T m (collagen) C 36* 36* 29 28 15

Collagen melting curves d (arbitrary scale) / d T -40-35 -30-25 -20-15 -10-5 0 cod sole tuna mammal 5 10 15 20 25 30 35 40 T ( C)

1. The physical aspects of gel formation : structure and rheology

Mechanism of gelation Gelatin gelation is related to the coil-triple helix transition. Gelation and gel strengthening are kinetic processes SOL state GEL state

Molecular characteristics of various gelatins gelatin process M w (g/mole) M w /M n Ip Beef, High M (A1) alkaline 145 700 1.68 5.0 Beef, Low M (A2) alkaline 102 200 1.95 5.0 Pig skin, High M (B1) acid 168 500 1.91 8.7 Pig skin, Low M (B2) acid 74 500 1.89 7.6 tuna acid 122 600 1.66 8.9 megrim acid 226 300 1.66 8.9 cod acid 120 500 1.93 8.9

Experimental methods Y Optical rotation: continuous recording of the optical rotation angle versus time or temperature Or Calculation of the helix amount χ of the helical concentration c helix Y Microcalorimetry to follow the chemical crosslinking (Micro DSC III Setaram, France) Y Rheology : G and G at a fixed frequency (1 Hz) with very small deformations (0.5%) during gelation, maturation, melting

0.6 0.5 Comparison of helix formation versus temperature beef bone, tuna, megrim and cod (C= 5%) helix amount 0.4 0.3 0.2 beef bone, A1 tuna megrim cod 0.1 Cooling 0.0 40 35 30 25 20 15 10 5 0-5 T( C)

0.6 Kinetics of helix formation 40 B 1 0.5 35 helix amount 0.4 0.3 0.2 A 1 B 2 A 2 30 25 20 Temperature ( C) 0.1 hydrolysed sample 15 0.0 10 0 5000 10000 15000 20000 time (s)

Helix foramtion in mixed solvents 0.7 0.6 0.5 A1 c = 4.5% g/cm 3 in : water 70% water + 30% glycerol 50% water + 50% glycerol helix amount 0.4 0.3 0.2 0.1 0.0 35 30 25 20 15 Temperature ( C)

-0.06 Melting curves: effect of the molecular weight (beef, high M w, A1 and low M w, A2 ) -0.05-0.04 A1 d./dt -0.03-0.02 A2-0.01 0.00 10 15 20 25 30 35 40 Temperature ( C)

-0.08 Melting curves of fish gelatins: megrim and cod influence of gelation temperatures -0.06 Cod C=4.5% d./dt -0.04 Megrim -0.02 gelation temperatures 0.00-5 0 5 10 15 20 25 30 35 40 Temperature ( C)

MELTING of HELICES in GELS : effect of the molecular weight 1.0 soluble collagen 0.8 helix amount 0.6 0.4 0.2 N = 1450 N = 1000 N = 120 0.0 10 15 20 25 30 35 40 T ( C)

0.7 Helix amounts versus temperature for various gelatins C=4.5 % g/cm 3 helix amount 0.6 0.5 0.4 0.3 beef, High Mw beef, Low Mw pork skin, High Mw pork skin, Low Mw tuna megrim cod 0.2 0.1-5 0 5 10 15 20 25 final Temperature ( C)

2. The master curve for elasticity of the physical gelatin gels. Interpretation

Kinetics of gelation: effect of concentration, A1 10000 2% G' G'' 4.5% G' G'' 8% G' G'' 40 35 30 moduli (Pa) 1000 100 10 25 20 15 10 Temperature ( C) 5 1 0 0 5000 10000 15000 20000 time (s)

10000 The shear moduli versus temperature for various gelatins c = 4.5 % g/cm 3 G' (Pa) 1000 100 beef, High Mw beef, Low Mw pig skin, High Mw pig skin, Low Mw tuna megrim cod -5 0 5 10 15 20 25 final Temperature ( C)

Elasticity versus helix amount: effect of temperature and molecular weight (c = 4.5 % g/cm 3 ) 1000 G' (Pa) 100 10 1 beef, high Mw 25 C 20 C 15 C 10 C 5 C beef, low Mw 10 C 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 helix amount

Shear moduli versus helix concentration 10000 1000 Moduli (Pa) 100 10 G' G'' A1 c = 2% g/cm 3 G' G" c = 4.5% g/cm 3 G' G" c = 8% g/cm 3 G' G" 1 0.00 0.01 0.02 0.03 0.04 0.05 C hel (g.cm -3 )

The master curve for elasticity: blending of gelatins : (beef, High Mw) + tuna 10000 majority of A1 helices in the blend 1000 large helix amounts from both species 100 G' (Pa) 10 1 beef 3% g/cm 3 + tuna 5% g/cm 3 beef 8% g/cm 3 0.1 0.00 0.01 0.02 0.03 0.04 0.05 C hel (g.cm -3 )

The master curve for elasticity : gelatins from various sources 10000 G' (Pa) 1000 100 10 1 The percolation regime Gelation threshold cod 4.5% T = 1.2 C cod 8% T = 0.8 C tuna 4.5% T = 10 C tuna 8% T = 10 C beef, high Mw 8% T = 10 C 0.1 0.00 0.01 0.02 0.03 0.04 0.05 C hel (g.cm -3 )

1000 Elasticity versus distance to the gel point : the percolation regime 100 G' (Pa) 10 slope 1.9 1 0.1 1E-4 1E-3 0.01 0.1 [ C helix - C helix crit ] (g.cm -3 )

Elasticity versus helix concentration far from the gel point: Power laws 10000 slope 1.6 G' (Pa) 1000 slope 2.3 0.01 C hel (g.cm -3 )

A fibrous network containing helical sequences and coils: Three domains: a. Below the gelation or percolation threshold, b. Between c crit hel crit hel percolation regime no elastic modulus c < c < 2 c crit hel the With a power law dependence of G versus c c crit G ~ (c - c crit ) 1.9 in agreement with the scalar percolation.

c. c >2 c crit hel a more homogeneous network is formed. There is no simple power law dependence of G versus helical concentration. A progressive transition is observed. Models dealing with networks of semi-flexible strands Two parameters are required to define the elasticity: - the length of the rods l - the distance of entanglement of the rods d If : absolutely rigid rods connected with very loose links (Jones and Marques 1990):

G' k B T l 1 d 2 d is related to the total length of helices per unit volume, L v, measured experimentally: Then: 1 d L v d ~c hel -1/2 1 2 If one assumes that l and d are alike then one obtains: G ~ c hel 1.5

100000 Transition from percolation to well developed network 10000 1000 G' (Pa) 100 10 1 experiment G' percolation, critical exponent 2 G' with the power law c hel 1.5 1/G' = 1/G' percol + 1/G' 1.5 0.1 0.01 0.1 C hel (g.cm -3 )

Gelatin physical gels Y The elasticity of gelatins networks is a unique function of the helix concentration Y There is no rubber like network involving large flexible coils connected by local junctions, at least in the linear regime. Y The fish gelatins are identical to the mammalian ones in this concept.

3. Chemical gelation in presence of a cross-linker. Hints for interpretation

Chemical gel : crosslinking A permanent gel is obtained by using a crosslinker. Kodak uses the bis(vinylsulfonyl)methane BVSM. The crosslinker creates covalent links C-N with the amine groups of the gelatin coils (Lysine, Hydroxylysine and Histidine). A permanent network is created in the high temperature state (coils in solution) (beef gelatin, alkaline, in buffer) 2 H N gelatin NH 2 + SO 2 SO 2 gelatin SO 2 SO 2 H N gelatin () + BVSM at 40 C

0.5 Formation of covalent links between gelatin and BVSM from microcalorimetry heat flux (mj.s -1 ) 0.4 0.3 0.2 0.1 0.0 C gelatin 0 = 8%, C BVSM 0 = 0.225%, ph = 6.79, T = 45 C INTEGRATION 2500 5000 7500 10000 12500 15000 time (s) 1000 Formation of C-N links is exothermal Q (mj / g of solution) 800 600 400 200 0 0 2500 5000 7500 10000 12500 15000 time (s)

10000 1000 Kinetics of the crosslinking from rheological measurements G' G' moduli (Pa) 100 10 1 C gelatin 0 = 12 % ; C BVSM 0 = 0.3 % C gelatin 0 = 6 % ; C BVSM 0 = 0.3 % G'' G'' 0.1 0 5000 10000 15000 20000 25000 30000 35000 time (s)

1000 Critical behaviour versus the concentration of links for the chemical gel gelatin 12% + BVSM 0.3% ; ph 6.30 ; T = 40 C 100 G' (Pa) 10 slope 3,46 1 0.1 1 (c links - c links critical ) / c links critical

Conclusions and outlook Y Physical gelation and chemical gelation of gelatin can be interpreted in the framework of critical phenomena. YThe two types of gels exhibit two different critical exponents of percolation. YThe physical gel reaches a state of a well developed network, while the chemical gel remains in the critical domain. YComputer simulations are now under way. YThe gels crosslinked with both physical and chemical bonds are under study.

for more details see: C. Joly-Duhamel, D. Hellio and M. Djabourov Langmuir, 2002, 18, p.7208 and C. Joly-Duhamel, D. Hellio, A. Ajdari and M. Djabourov, Langmuir, 2002, 18, 7158 Ackowledgements European contract FAIR CT 97-3055 Kodak, Rochester, fellowship