Nonlinear Dynamic Modeling of 2-Dimensional Interdependent Calcium and Inositol 1,4,5-Trisphosphate in Cardiac Myocyte

Calcium (Ca 2+ ) and inositol 1,4,5-trisphosphate (IP 3 ) is critically important actors for a vast array of cellular processes. The most significant of the functions is One of the main functions is communication in all parts of the body which is achieved through cell signaling. Abnormalities in Ca 2+ signaling have been implicated in clinically important conditions such as heart failure and cardiac arrhythmias. We propose a mathematical model which systematically investigates complex Ca 2+ and IP 3 dynamics in cardiac myocyte. This two dimensional model is based on calcium-induced calcium release via inositol 1,4,5-trisphosphate receptors and includes calcium modulation of IP 3 levels through feedback regulation of degradation and production. Forward-Time Centered-Space method has been used to solve the coupled equations. We were able to reproduce the observed oscillatory patterns in Ca 2+ as well as IP 3 signals. The model predicts that calcium-dependent production and degradation of IP 3 is a key mechanism for complex calcium oscillations in cardiac myocyte. The impact and sensitivity of source, leak, diffusion coefficients on both Ca 2+ and IP 3 dynamics have been investigated. The results show that the relationship between Ca 2+ and IP 3 dynamics is nonlinear.