On the solvability of a mathematical model for prion proliferation Export

@article{citeulike:3720396, abstract = {We show that a model describing the interaction between normal and infectious prion proteins admits global solutions. More precisely, supposing the involved degradation rates to be bounded, we prove global existence and uniqueness of classical solutions. Based on this existence theory, we provide sufficient conditions for the existence of global weak solutions in the case of unbounded splitting rates. Moreover, we prove global stability of the disease-free steady state.}, author = {Simonett, G. and Walker, C.}, citeulike-article-id = {3720396}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jmaa.2005.12.036}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0022247X05013338}, day = {01}, doi = {10.1016/j.jmaa.2005.12.036}, issn = {0022247X}, journal = {Journal of Mathematical Analysis and Applications}, keywords = {math, model, prion}, month = {December}, number = {1}, pages = {580--603}, posted-at = {2008-11-28 07:31:13}, priority = {2}, title = {On the solvability of a mathematical model for prion proliferation}, url = {http://dx.doi.org/10.1016/j.jmaa.2005.12.036}, volume = {324}, year = {2006} }

TY - JOUR ID - citeulike:3720396 L3 - citeulike-article-id:3720396 N2 - We show that a model describing the interaction between normal and infectious prion proteins admits global solutions. More precisely, supposing the involved degradation rates to be bounded, we prove global existence and uniqueness of classical solutions. Based on this existence theory, we provide sufficient conditions for the existence of global weak solutions in the case of unbounded splitting rates. Moreover, we prove global stability of the disease-free steady state. IS - 1 JF - Journal of Mathematical Analysis and Applications SN - 0022247X EP - 603 TI - On the solvability of a mathematical model for prion proliferation VL - 324 SP - 580 KW - math KW - model KW - prion AU - Simonett, G AU - Walker, C PY - 2006/12/01/ UR - http://dx.doi.org/10.1016/j.jmaa.2005.12.036 ER -