Sixth Mississippi State Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 15 (2007), pp. 387-397.

Prion proliferation with unbounded polymerization rates

Christoph Walker

Abstract:
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.

Published February 28, 2007.
Math Subject Classifications: 35L45, 35B35, 35B40.
Key Words: Global existence; classical and weak solutions; asymptotic behavior; fragmentation; prion proliferation.

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Christoph Walker
Vanderbilt University
Department of Mathematics
Nashville, TN 37240, USA
email: christoph.walker@vanderbilt.edu

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