Modeling the alterations in calcium homeostasis in the presence of protein and VGCC for alzheimeric cell

Abstract

Alzheimer’s disease is one of the neurodegenerative diseases which cannot be cured completely, but only the progression of it can be prevented. The causes of the Alzheimer’s are many, but the present piece of work focuses on the alterations taking place in the calcium homeostasis in the presence of protein, i.e., buffer and voltage gated calcium channel (VGCC). The fundamental nature of the buffer is to decrease the cytosolic calcium level, whereas the role of VGCC is to increase the same. Hence, the combination of both the parameters helps in maintaining the calcium concentration, thus preventing the cell loss in Alzheimer’s disease. On the basis of this, a two-dimensional mathematical model is developed using these parameters and is solved analytically using Laplace transform which is further simulated in MATLAB.