J. Nonl. Evol. Equ. Appl. 2013 (2), pp. 11-22, published on February 10, 2013:

Dynamical analysis of calcium model of muscle at rest


J. E. Hasbun

Department of Physics, University of West Georgia, Carrollton, GA 30118

N. V. Minh

Department of Mathematics and Philosophy, Columbus State University, Columbus, GA 31907

H. G. Zot

Department of Biology, University of West Georgia, Carrollton, GA 30118

Received on March 13, 2012
Accepted on December 1, 2012

Communicated by Joydev Chattopadhyay

Abstract.  The present paper is concerned with a calcium model of muscle at rest and a dynamical analysis of it. We show that the model is well-posed; that is, the solution representing the state of the model inside a special pyramid never leaves it as time evolves. Moreover, an analysis of its steady states is given.
Keywords: Calcium model of muscle at rest; steady state; exponential stability; Routh-Hurwitz Theorem.
2010 Mathematics Subject Classification:   92C37; 34C35; 34C60.

Download Full Text: JNEEA-vol.2013-no.2.pdf [221 kB].


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