Analytic Solution of Two Dimensional Advection Diffusion Equation Arising In Cytosolic Calcium Concentration Distribution
Brajesh Kumar Jha, Neeru Adlakha, M. N. Mehta · 2012
Mathematical and computational modeling of calcium signalling in astrocytes has produced considerable insights into how the astrocytes contracts with other cells under the variation of biophysical and physio-logical parameters. The modeling of calcium signaling in astrocytes has become more sophisticated. The modeling effort has provided insight to understand the cell contraction. Objective of this work is to study the calcium profile in the form of advection diffusion equation. A math-ematical model is developed in the form of advection diffusion equation for the calcium profile. The model incorporates the important physi-ological parameter like diffusion coefficient etc. Appropriate boundary conditions have been framed. Analytic solution is found using Laplace transform in the form of complementary error function. MATLAB 7.5 has been used to simulate the model and obtain the results.