A mathematical analysis of the dynamics of prion proliferation. Export

@article{citeulike:3495616, abstract = {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.}, author = {Greer, M. L. and Pujo-Menjouet, L. and Webb, G. F.}, citeulike-article-id = {3495616}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jtbi.2006.04.010}, citeulike-linkout-1 = {http://view.ncbi.nlm.nih.gov/pubmed/16753184}, citeulike-linkout-2 = {http://www.hubmed.org/display.cgi?uids=16753184}, day = {7}, doi = {10.1016/j.jtbi.2006.04.010}, issn = {0022-5193}, journal = {Journal of theoretical biology}, keywords = {math, prion, replication}, month = {October}, number = {3}, pages = {598--606}, posted-at = {2008-11-08 06:13:20}, priority = {2}, title = {A mathematical analysis of the dynamics of prion proliferation.}, url = {http://dx.doi.org/10.1016/j.jtbi.2006.04.010}, volume = {242}, year = {2006} }

TY - JOUR ID - citeulike:3495616 L3 - citeulike-article-id:3495616 N2 - 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. IS - 3 JF - Journal of theoretical biology SN - 0022-5193 EP - 606 TI - A mathematical analysis of the dynamics of prion proliferation. VL - 242 SP - 598 KW - math KW - prion KW - replication AU - Greer, ML AU - Pujo-Menjouet, L AU - Webb, GF PY - 2006/10/07/ UR - http://dx.doi.org/10.1016/j.jtbi.2006.04.010 ER -