A MATHEMATICAL STUDY OF THE PLASTICITY EFFECTS IN MUSCLE-CONTRACTION

被引:14
作者
COLLI, P
COMINCIOLI, V
NALDI, G
TORELLI, A
机构
[1] Dipartimento di Matematica, Università di Pavia, Pavia
关键词
D O I
10.1007/BF01447318
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Hill's three-element model of contracting muscle is expanded by replacing the series and the parallel elastic elements with elastoplastic elements. The contractile element is structurally described making use of the sliding filament theory. The resulting mathematical model is formulated in terms of an evolution variational inequality for a nonlinear and nonlocal transport-type operator. The existence and uniqueness of the solution are described along with a numerical approach. © 1990 Springer-Verlag New York Inc.
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页码:1 / 26
页数:26
相关论文
共 30 条
[1]   A MATHEMATICAL STUDY OF A MUSCLE-CONTRACTION MODEL IN WHICH THE FIBER IS A CONTINUUM OF ELEMENTS [J].
ALLAIN, G ;
COLLI, P .
ADVANCES IN APPLIED MATHEMATICS, 1988, 9 (01) :104-126
[2]  
BREZIS H, 1972, J MATH PURE APPL, V51, P1
[3]   STUDY AND PARAMETERS IDENTIFICATION OF A RHEOLOGICAL MODEL FOR EXCISED QUIESCENT CARDIAC-MUSCLE [J].
CAPELO, A ;
COMINCIOLI, V ;
MINELLI, R ;
POGGESI, C ;
REGGIANI, C ;
RICCIARDI, L .
JOURNAL OF BIOMECHANICS, 1981, 14 (01) :1-11
[6]  
COLLI P, 1989, BIOMEDICAL MODELLING, P159
[7]  
Colli P, 1988, BIOMATHEMATICS RELAT, P603
[8]   A MATHEMATICAL STUDY OF A CONTINUUM-STATE CROSS-BRIDGE MODEL OF MUSCLE-CONTRACTION [J].
COMINCIOLI, V ;
TORELLI, A .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1988, 10 (03) :289-302
[9]   MATHEMATICAL ASPECTS OF THE CROSS-BRIDGE MECHANISM IN MUSCLE-CONTRACTION [J].
COMINCIOLI, V ;
TORELLI, A .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (06) :661-683
[10]   A MATHEMATICAL-MODEL OF CONTRACTING MUSCLE WITH VISCOELASTIC ELEMENTS [J].
COMINCIOLI, V ;
TORELLI, A .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (03) :593-612