A mathematical fractional model with nonsingular kernel for thrombin receptor activation in calcium signalling. (1st August 2019)

• Record Type: Journal Article
• Authors: Agarwal, Ritu; Purohit, Sunil D.; Kritika,
• Is Part Of: Mathematical methods in the applied sciences. Volume 42:Number 18(2020)
• Page Start: 7160
• Page End: 7171
• Publication Date: 2019-08-01
• Subjects: calcium signalling -- Caputo‐Fabrizio fractional derivative -- fixed‐point theorem -- fractional differential equations -- thrombin; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5822
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In calcium signalling, activation of receptor is a very significant aspect. To understand the mechanism of calcium signalling, receptors are the important components. The mobilization of intracellular calcium from intracellular stores depends upon binding of agonist to cell surface receptor. Thrombin is chosen as model ligand. In order to understand thrombin receptor activation, we analyze fractional model incorporating derivative of arbitrary order and nonsingular kernel which can precisely describe the effect of memory and can explain the model in better and more efficient manner as compared with fractional operators with singular kernels. The problem has been solved by perturbation iterative method. Using fixed‐point theorem, it is proved that solution of the system will exist and also it will be unique.