Details
| Original language | English |
|---|---|
| Pages (from-to) | 241-264 |
| Number of pages | 24 |
| Journal | Journal of evolution equations |
| Volume | 7 |
| Issue number | 2 |
| Publication status | Published - May 2007 |
| Externally published | Yes |
Abstract
The model considered consists of an ordinary differential equation coupled with an integro-partial differential equation and describes the interaction between non-infectious and infectious prion proteins. We provide sufficient conditions for uniqueness of monomer-preserving weak solutions. In addition, we also prove existence of weak solutions under rather general assumptions on the involved degradation rates.
Keywords
- Existence, Prion proliferation, Uniqueness, Weak solutions
ASJC Scopus subject areas
- Mathematics(all)
- Mathematics (miscellaneous)
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In: Journal of evolution equations, Vol. 7, No. 2, 05.2007, p. 241-264.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Well-posedness for a model of prion proliferation dynamics
AU - Laurençot, Philippe
AU - Walker, Christoph
N1 - Funding information: Part of this work was done while the first author enjoyed the hospitality and support of the Helsinki University of Technology and the University of Helsinki, Finland, within the Finnish Mathematical Society Visitor Program in Mathematics 2005-2006 Function Spaces and Differential Equations.
PY - 2007/5
Y1 - 2007/5
N2 - The model considered consists of an ordinary differential equation coupled with an integro-partial differential equation and describes the interaction between non-infectious and infectious prion proteins. We provide sufficient conditions for uniqueness of monomer-preserving weak solutions. In addition, we also prove existence of weak solutions under rather general assumptions on the involved degradation rates.
AB - The model considered consists of an ordinary differential equation coupled with an integro-partial differential equation and describes the interaction between non-infectious and infectious prion proteins. We provide sufficient conditions for uniqueness of monomer-preserving weak solutions. In addition, we also prove existence of weak solutions under rather general assumptions on the involved degradation rates.
KW - Existence
KW - Prion proliferation
KW - Uniqueness
KW - Weak solutions
UR - http://www.scopus.com/inward/record.url?scp=34247593078&partnerID=8YFLogxK
U2 - 10.1007/s00028-006-0279-2
DO - 10.1007/s00028-006-0279-2
M3 - Article
AN - SCOPUS:34247593078
VL - 7
SP - 241
EP - 264
JO - Journal of evolution equations
JF - Journal of evolution equations
SN - 1424-3199
IS - 2
ER -