Journal of Theoretical Biology
Department or Program
How do the normal prion protein (PrP(C)) and infectious prion protein (PrP(Sc)) 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 PrP(Sc) proliferates using the mechanism of nucleated polymerization. We prove that with parameter input consistent with experimentally determined values, we obtain the persistence of PrP(Sc). 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.
Greer, M.L., Webb, G.F., Pujo-Menjouet, L., 2006, A Mathematical Analysis of the Dynamics of Prion Proliferation, Journal of Theoretical Biology, 242, 598-606. https://doi.org/10.1016/j.jtbi.2006.04.010
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© 2006. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/