arXiv subjects

Elena Leis

Publications and source records attributed to Elena Leis.

2 recordsLinked to original sources

arXiv2017

Existence of Global Classical and Weak Solutions to a Prion Equation with Polymer Joining

We consider a nonlinear integro-differential equation for prion proliferation that includes prion polymerization, polymer splitting, and polymer joining. The equation can be written as a quasilinear Cauchy problem. For bounded reaction rates we prove global existence and uniqueness of classical solutions by means of evolution operator theory. We also prove global existence of weak solutions for unbounded reaction rates by a compactness argument.

math.AP↗

arXiv2017

Uniqueness of Weak Solutions to a Prion Equation with Polymer Joining

We consider a model for prion proliferation that includes prion polymerization, polymer splitting, and polymer joining. The model consists of an ordinary differential equation for the prion monomers and a hyperbolic nonlinear differential equation with integral terms for the prion polymers and was shown to possess global weak solutions for unbounded reaction rates [11]. Here we prove the uniqueness of weak solutions.

math.AP↗