Scaling analysis of the concentration dependence on elasticity of agarose gel

被引:19
作者
Fujii, T [1 ]
Yano, T [1 ]
Kumagai, H [1 ]
Miyawaki, O [1 ]
机构
[1] Univ Tokyo, Dept Appl Biol Chem, Bunkyo Ku, Tokyo 1138657, Japan
关键词
agarose gel; percolation; correlation length; dynamic shear modulus; scaling law;
D O I
10.1271/bbb.64.1618
中图分类号
Q5 [生物化学]; Q7 [分子生物学];
学科分类号
071010 ; 081704 ;
摘要
Since the critical exponent of the elastic modulus is related to the spatial dimension and the critical exponent of the correlation length, depending on the characteristics of elasticity; we experimentally evaluated both the elastic modulus of a sol-gel transition system and also the correlation length. We could determine the correlation length of agarose gel by the dynamic light scattering method; it was well described by the power law as a function of the deviation from the sol-gel transition point. Three scaling laws between the critical exponent of the correlation length (v) and that of the elastic shear modulus (t) were compared, and the critical exponent of the elastic modulus was described by the equation of de Gennes expression (t=1+ v(d-2), where d is the spatial dimension). This result suggests that agarose fibers are stiff enough to show scalar elasticity.
引用
收藏
页码:1618 / 1622
页数:5
相关论文
共 25 条
[11]  
HORIUCHI H, 1987, AGR BIOL CHEM TOKYO, V51, P2171
[12]   ELASTIC PROPERTIES OF RANDOM PERCOLATING SYSTEMS [J].
KANTOR, Y ;
WEBMAN, I .
PHYSICAL REVIEW LETTERS, 1984, 52 (21) :1891-1894
[13]   Sol-gel transition and elasticity of starch [J].
Kawabata, A ;
Akuzawa, S ;
Ishii, Y ;
Yazaki, T ;
Otsubo, Y .
BIOSCIENCE BIOTECHNOLOGY AND BIOCHEMISTRY, 1996, 60 (04) :567-570
[14]   MECHANICAL-PROPERTIES OF FOODS NEAR SOL-GEL TRANSITION POINT .2. CONCENTRATION-DEPENDENCE OF MECHANICAL-PROPERTIES OF GELATIN NEAR THE SOL-GEL TRANSITION POINT [J].
KUMAGAI, H ;
FUJII, T ;
INUKAI, T ;
YANO, T .
BIOSCIENCE BIOTECHNOLOGY AND BIOCHEMISTRY, 1993, 57 (04) :532-535
[15]   Computer-simulation studies of kinetic gelation [J].
Liu, Y ;
Pandey, RB .
PHYSICAL REVIEW B, 1997, 55 (13) :8257-8266
[16]   DYNAMIC LIGHT-SCATTERING OF SWOLLEN RUBBER VULCANIZATES AND THE SWELLING MECHANISM [J].
OIKAWA, H ;
MURAKAMI, K .
MACROMOLECULES, 1991, 24 (05) :1117-1122
[17]   RELATION BETWEEN ELASTIC AND SCALAR TRANSPORT EXPONENT IN PERCOLATION [J].
ROUX, S .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (06) :L351-L356
[18]   Thermoreversible gelation in solutions of associating polymers. 2. Linear dynamics [J].
Rubinstein, M ;
Semenov, AN .
MACROMOLECULES, 1998, 31 (04) :1386-1397
[19]   RELATION BETWEEN THE CRITICAL EXPONENT OF ELASTIC PERCOLATION NETWORKS AND THE CONDUCTIVITY AND GEOMETRICAL EXPONENTS [J].
SAHIMI, M .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1986, 19 (04) :L79-L83
[20]  
Sahimi M., 1994, APPL PERCOLATION THE