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The characteristics method applied to the study of muscle dynamics

✍ Scribed by G. Avanzolini; A. Cappello


Publisher
Springer
Year
1984
Tongue
English
Weight
853 KB
Volume
46
Category
Article
ISSN
1522-9602

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✦ 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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The radial integration method applied to
✍ Albuquerque, E. L. ;Sollero, P. ;Portilho de Paiva, W. πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 153 KB

## Abstract In this paper, the radial integration method is applied to transform domain integrals into boundary integrals in a boundary element formulation for anisotropic plate bending problems. The inertial term is approximated with the use of radial basis functions, as in the dual reciprocity bo