The characteristics method applied to the study of muscle dynamics
β Scribed by G. Avanzolini; A. Cappello
- Publisher
- Springer
- Year
- 1984
- Tongue
- English
- Weight
- 853 KB
- Volume
- 46
- Category
- Article
- ISSN
- 1522-9602
No coin nor oath required. For personal study only.
β¦ Synopsis
In two-state sliding filament models of muscle contraction a partial differentia! equation must be solved to find tile cross-bridge distribution function n(x, t). In this paper the analytical form of this function is obtained by integration along the characteristic line and special cases are presented in which the explicit expression for n(x, t) can be completely determined. These analytical solutions provide a direct mathematical connection between the microscopic contraction parameters contained in the kinetic theories and macroscopic muscle dynamics and are thus used to investigate what parameters influence the transient contractile tension in typical experimental conditions. The results of this investigation are consistent with relevant aspects of muscle physiology.
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