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

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 whi...

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Bibliographic Details
Published in:Network modeling and analysis in health informatics and bioinformatics (Wien) 2020-12, Vol.9 (1), p.1, Article 1
Main Authors: Dave, Devanshi D., Jha, Brajesh Kumar
Format: Article
Language:English
Subjects:
Advection-diffusion equation
Aging
Alzheimer's disease
Applications of Graph Theory and Complex Networks
Bioinformatics
Boundary conditions
Brain research
Buffers
Calcium
Calcium buffering
Calcium signalling
Computational Biology/Bioinformatics
Computer Science
Dementia
Differential equations
Disease
Endoplasmic reticulum
Health Informatics
Literature reviews
Mathematical models
Neurodegenerative diseases
Neurons
Original Article
Physiology
Three dimensional models
Toxic diseases
Toxicity
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Summary: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.
ISSN:2192-6662
2192-6670
DOI:10.1007/s13721-019-0207-3