https://doi.org/10.1140/epjp/s13360-022-03164-x
Regular Article
Simulation of disturbances in interdependent calcium and β-amyloid dynamics in the nerve cell
Department of Mathematics, Bioinformatics and Computer Applications, Maulana Azad National Institute of Technology, 462003, Bhopal, Madhya Pradesh, India
Received:
27
May
2022
Accepted:
7
August
2022
Published online:
25
August
2022
The calcium ([Ca2+]) and β-amyloid regulate the dynamics of the concentration levels of each other in a neuron cell. Calcium dysregulation can drive the dysregulation of β-amyloid and vice versa in a neuron cell leading to neuronal disorders like Alzheimer’s disease. No attempt is noticed till date on the mutual regulation of [Ca2+] and β-amyloid in a neuron cell. Thus, there is a need to develop models to study this mutual regulation and dysregulation. The reaction–diffusion equations of calcium and β-amyloid are coupled to propose a model in the form of the initial boundary value problem in a neuron cell. The parameters like the pump, source influx, leak, ryanodine receptor, buffers, etc., are incorporated in the model. The finite element procedure is used for the simulation. The results have been used to examine the consequences of disturbances in different mechanisms of the two systems on calcium dynamics and β-amyloid dynamics. The results give insights of regulatory and dysregulatory mechanisms, and these insights can be helpful to biomedical scientists for devising therapeutic techniques for neuronal disorders.
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