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MATHEMATICAL MODELLING OF BETA AMYLOID PROTEIN AGGREGATION PROCESS IN ALZHEIMER’S DISEASE
Last modified: 2024-08-22
Abstract
The process of beta amyloid protein aggregation in Alzheimer's disease can be represented by a mathematical model. This model is built based on several groups representing the amount of n-monomer and oligomer concentrations, and presented in a system of nonlinear ordinary differential equations. In this paper, the extinction equilibrium point and the single interior equilibrium point are also determined. The model will be solved numerically by the fourth-order Runge Kutta method and it is shown that the solution will lead to the equilibrium point obtained. By analyzing the effect of the number of monomers that occur, it can be concluded that the greater the the number of monomers considered, the lower the concentration of oligomers, so that it can reduce the symptoms of Alzheimer's disease.
Keywords
amyloid beta modeling, ordinary differential equation system, fourth-order Runge-Kutta method