2D memory-based mathematical analysis for the combined impact of calcium influx and efflux on nerve cells
Hardik Joshi, Brajesh Kumar Jha
Abstract
In this paper, we present a calcium dynamics model that firmly orchestrates exchanges of calcium flux through intracellular/extracellular sources of calcium to investigate cellular activities and calcium homeostasis . The generalized two-dimensional space-time reaction-diffusion model is formulated and analyzed for a wide range of calcium flux . The analytical technique is applied to solve the model by use of the fractional integral transform and some special functions. The existence and uniqueness of the proposed model are discussed. Finally, the obtained results are presented graphically to show the significance of calcium flux by amalgamating the memory of cells and prove the efficiency of the method.
Topics & Concepts
CalciumFlux (metallurgy)UniquenessMathematicsExtracellularCalcium in biologyDiffusionBiological systemMathematical analysisBiophysicsApplied mathematicsChemistryThermodynamicsPhysicsBiochemistryBiologyOrganic chemistryFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsLipid Membrane Structure and Behavior