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A mathematical fractional model with nonsingular kernel for thrombin receptor activation in calcium signalling
Author(s) -
Agarwal Ritu,
Purohit Sunil D.
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5822
Subject(s) - fractional calculus , invertible matrix , mathematics , receptor , thrombin , kernel (algebra) , calcium signaling , calcium in biology , calcium , agonist , control theory (sociology) , chemistry , pure mathematics , computer science , biochemistry , biology , platelet , immunology , control (management) , artificial intelligence , organic chemistry
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.