Modeling Calcium Signaling

This book focuses on the fundamental processes involved in calcium signaling through fractional mathematical modeling. The intended reader of the book is mathematically proficient students of cell biology, applied mathematics and mathematical biology who are interested in learning about modeling in cell biology. The book will inspire the graduate students and researchers to collaborate with experimentalists while studying the direction needed to explore the modeling literature.

Organized into four chapters, the book introduces to fractional calculus and devoted to understanding the receptor activation by the ligand, that is Thrombin via fractional model incorporating the Caputo-Fabrizio fractional operator. It studies the calcium profile in red blood cells with the help of the advection-diffusion equation. The book further studies the process of buffering, aiding to the lowering of the calcium concentration in the cytosol, which rises due to calcium influx from extracellular space and intracellular storage. A mathematical model is studied to characterize the anomalous subdiffusion of cytosolic calcium.