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3D mathematical modeling of calcium signaling in Alzheimer’s disease

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Abstract

The present paper focuses on the solution of the three-dimensional calcium advection–diffusion equation in the presence of calcium-binding buffers. As buffers play an important role in maintaining cytosolic calcium concentration level, decrease in buffers leads to increase in cytoplasmic calcium which may further lead to toxicity of Alzheimer’s disease. The governing three-dimensional differential equation has been further converted into one-dimensional equation using similarity transforms. The solution is obtained analytically using Laplace transforms and suitable boundary conditions. The obtained solution is simulated in MATLAB. The graphs clearly show the impact of buffers on calcium concentration level for normal and Alzheimeric cells.

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Authors and Affiliations

  1. Department of Mathematics, School of Technology, PDPU, Gandhinagar, India

    Devanshi D. Dave & Brajesh Kumar Jha

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  1. Devanshi D. Dave
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  2. Brajesh Kumar Jha
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Correspondence to Devanshi D. Dave.

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Dave, D.D., Jha, B.K. 3D mathematical modeling of calcium signaling in Alzheimer’s disease. Netw Model Anal Health Inform Bioinforma 9, 1 (2020). https://doi.org/10.1007/s13721-019-0207-3

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  • DOI: https://doi.org/10.1007/s13721-019-0207-3

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