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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17620
Title: Analysis of a prion proliferation model with polymer coagulation in the presence of chaperone
Authors: Kumar, Rajesh
Keywords: Mathematics
Ordinary differential equations (ODEs)
Chaperone
Issue Date: Mar-2023
Publisher: Wiley
Abstract: In the present work, a mathematical model which consists of a nonlinear partial integro-differential equation coupled with two ordinary differential equations (ODEs) is analyzed. This model describes the relation between infectious, noninfectious prion proteins, and chaperone. The well-posedness of the system is proved for bounded kernels by using evolution operator theory in the state space . The existence of a global weak solution for unbounded kernels is also discussed by a weak compactness argument. In addition, we investigated the stability analysis results theoretically and effect of chaperone on prion proliferation numerically.
URI: https://onlinelibrary.wiley.com/doi/full/10.1002/mma.9231
http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17620
Appears in Collections:Department of Mathematics

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