Modelling Yeast Prion Dynamics: A Fractional Order Approach with Predictor–Corrector Algorithm

This work aims to comprehend the dynamics of neurodegenerative disease using a mathematical model of fractional-order yeast prions. In the context of the Caputo fractional derivative, we here study and examine the solution of this model using the Predictor–Corrector approach. An analysis has been co...

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Bibliographic Details
Published in:Fractal and fractional 2024-09, Vol.8 (9), p.542
Main Authors: Archana, Daasara Keshavamurthy, Prakasha, Doddabhadrappla Gowda, Bin Turki, Nasser
Format: Article
Language:English
Subjects:
Algorithms
Applied mathematics
Calculus
Caputo fractional derivative
Disease prevention
Mathematical analysis
Nervous system diseases
Neurodegeneration
neurodegenerative disease
Ordinary differential equations
Predictor-corrector methods
predictor–corrector method
Prions
Proteins
Yeast
yeast prion model
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Summary:This work aims to comprehend the dynamics of neurodegenerative disease using a mathematical model of fractional-order yeast prions. In the context of the Caputo fractional derivative, we here study and examine the solution of this model using the Predictor–Corrector approach. An analysis has been conducted on the existence and uniqueness of the selected model. Also, we examined the model’s stability and the existence of equilibrium points. With the purpose of analyzing the dynamics of the Sup35 monomer and Sup35 prion population, we displayed the graphs to show the obtained solutions over time. Graphical simulations show that the behaviour of the populations can change based on fractional orders and threshold parameter values. This work may present a good example of how biological theories and data can be better understood via mathematical modelling.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract8090542