Prion proliferation with unbounded polymerization rates
A model for prion replication is studied. We prove global existence of weak solutions for unbounded polymerization and degradation rates. For bounded degradation rates, the solutions are shown to be classical.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-02-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/15/w1/abstr.html |
| id |
doaj-36b9763e2d184334ba55bff517b5a7df |
|---|---|
| record_format |
Article |
| spelling |
doaj-36b9763e2d184334ba55bff517b5a7df2020-11-24T23:02:00ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-02-01Conference15387397Prion proliferation with unbounded polymerization ratesChristoph WalkerA model for prion replication is studied. We prove global existence of weak solutions for unbounded polymerization and degradation rates. For bounded degradation rates, the solutions are shown to be classical.http://ejde.math.txstate.edu/conf-proc/15/w1/abstr.htmlGlobal existenceclassical and weak solutionsasymptotic behaviorfragmentationprion proliferation. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Christoph Walker |
| spellingShingle |
Christoph Walker Prion proliferation with unbounded polymerization rates Electronic Journal of Differential Equations Global existence classical and weak solutions asymptotic behavior fragmentation prion proliferation. |
| author_facet |
Christoph Walker |
| author_sort |
Christoph Walker |
| title |
Prion proliferation with unbounded polymerization rates |
| title_short |
Prion proliferation with unbounded polymerization rates |
| title_full |
Prion proliferation with unbounded polymerization rates |
| title_fullStr |
Prion proliferation with unbounded polymerization rates |
| title_full_unstemmed |
Prion proliferation with unbounded polymerization rates |
| title_sort |
prion proliferation with unbounded polymerization rates |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2007-02-01 |
| description |
A model for prion replication is studied. We prove global existence of weak solutions for unbounded polymerization and degradation rates. For bounded degradation rates, the solutions are shown to be classical. |
| topic |
Global existence classical and weak solutions asymptotic behavior fragmentation prion proliferation. |
| url |
http://ejde.math.txstate.edu/conf-proc/15/w1/abstr.html |
| work_keys_str_mv |
AT christophwalker prionproliferationwithunboundedpolymerizationrates |
| _version_ |
1725637873983553536 |