| Title | Qualitative analysis of a mathematical model of calcium dynamics inside the muscle cell |
| Publication Type | Journal Article |
| Year of Publication | 2019 |
| Authors | Nedyalkova ZD, Ivanov TB |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 106 |
| Start Page | 127 |
| Pagination | 127-151 |
| ISSN | 1313-9215 (Print) 2603-5529 (Online) |
| Keywords | Calcium dynamics, dynamical system, equilibrium points, muscle cell, stability analysis |
| Abstract | In this paper, we consider a mathematical model of calcium dynamics inside the muscle cell, proposed by Williams. We make a qualitative study of the model solutions. In particular, we study the existence and stability of equilibrium points of the model with respect to the model parameters in two limiting cases-when a constant stimulus is present and when there is no stimulus that triggers muscle activity. Numerical examples are given for each case, in order to illustrate the analytic results. |
| DOI | 10.60063/GSU.FMI.106.127-151 |
| 2010 MSC | 37N25 |
| Attachment | Size |
|---|---|
 106-127-151.pdf | 2.42 MB |