Journal
JOURNAL OF THEORETICAL BIOLOGY
Volume 242, Issue 3, Pages 598-606Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2006.04.010
Keywords
prion diseases; prion proliferation; solution persistence; nucleated polymerization mechanism
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How do the normal prion protein (PrPC) and infectious prion protein (PrPSc) populations interact in an infected host? To answer this question, we analyse the behavior of the two populations by studying a system of differential equations. The system is constructed under the assumption that PrPSc proliferates using the mechanism of nucleated polymerization. We prove that with parameter input consistent with experimentally determined values, we obtain the persistence of PrPSc. We also prove local stability results for the disease steady state, and a global stability result for the disease free steady state. Finally, we give numerical simulations, which are confirmed by experimental data. (c) 2006 Elsevier Ltd. All rights reserved.
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