MATHEMATICAL MODEL FOR SYSTEM DYNAMICS OF (Ca2+) AND DOPAMINE IN A FIBROBLAST CELL

Fibroblasts significantly affect wound healing, cancer progression and development. Disturbances in the calcium [Formula: see text] and dopamine [Formula: see text] dynamics leads to fibrotic disorders like cancer and fibrosis. Calcium signaling is required for [Formula: see text] concentrations in fibroblasts. Alteration in the many processes of [Formula: see text] kinetics can disturb [Formula: see text] regulation in fibroblast cells. No model has been reported till date for the study of spatiotemporal relationships of [Formula: see text] with calcium signaling in fibroblasts. A model is provided here to study the dynamic relationship of [Formula: see text] regulation with calcium signaling in a fibroblast cell. Finite element and Crank–Nicholson techniques are employed for numerical simulation. The numerical results provide insights into the buffer, source influx, and diffusion effects on the spatiotemporal dynamics of [Formula: see text] and [Formula: see text] in a fibroblast. Disturbances in the constitutive processes in the system dynamics of [Formula: see text] and [Formula: see text] can cause fibrotic diseases such as fibrosis and cancer in various organs.