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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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