Literature DB >> 3723027

A mathematical model of heterogeneous behavior of single muscle fibres.

P Colli.   

Abstract

A mathematical model of contracting muscle fibre is studied. The model is composed of an array of segments placed in series; any segment has an elastic element (PEi) and a contractile element (CEi) that describes the cross bridge kinetics. The corresponding system of nonlinear partial differential equations of the model is analyzed. Existence, uniqueness and continuous dependence of the solution are proven.

Mesh:

Year:  1986        PMID: 3723027     DOI: 10.1007/bf00275723

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  8 in total

1.  Theoretical formalism for the sliding filament model of contraction of striated muscle. Part II.

Authors:  T L Hill
Journal:  Prog Biophys Mol Biol       Date:  1975       Impact factor: 3.667

2.  Muscle structure and theories of contraction.

Authors:  A F HUXLEY
Journal:  Prog Biophys Biophys Chem       Date:  1957

3.  A cross-bridge model of muscle contraction.

Authors:  E Eisenberg; T L Hill
Journal:  Prog Biophys Mol Biol       Date:  1978       Impact factor: 3.667

Review 4.  Theoretical formalism for the sliding filament model of contraction of striated muscle. Part I.

Authors:  T L Hill
Journal:  Prog Biophys Mol Biol       Date:  1974       Impact factor: 3.667

5.  Redistribution of sarcomere length during isometric contraction of frog muscle fibres and its relation to tension creep.

Authors:  K A Edman; C Reggiani
Journal:  J Physiol       Date:  1984-06       Impact factor: 5.182

6.  Absence of plateau of the sarcomere length-tension relation in frog muscle fibres.

Authors:  K A Edman; C Reggiani
Journal:  Acta Physiol Scand       Date:  1984-10

7.  A four-state cross bridge model for muscle contraction. Mathematical study and validation.

Authors:  V Comincioli; A Torelli; C Poggesi; C Reggiani
Journal:  J Math Biol       Date:  1984       Impact factor: 2.259

8.  Study and parameters identification of a rheological model for excised quiescent cardiac muscle.

Authors:  A Capelo; V Comincioli; R Minelli; C Poggesi; C Reggiani; L Ricciardi
Journal:  J Biomech       Date:  1981       Impact factor: 2.712

  8 in total

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