Existence of global classical and weak solutions to a prion equation with polymer joining

DOI10.1007/s00028-016-0379-6OpenAlexW2551214509MaRDI QIDQ681304

Elena Leis, Christoph Walker

Publication date: 30 January 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08331

zbMATH Keywords

evolution operatorsprionsclassical and weak solutionspolymer joining

Mathematics Subject Classification ID

Integral equations (45-XX) Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (6)

Uniqueness of weak solutions to a prion equation with polymer joining ⋮ Weak solution and qualitative behavior of a prion proliferation model in the presence of chaperone ⋮ Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a Banach space ⋮ Analysis of a prion proliferation model with polymer coagulation in the presence of chaperone ⋮ Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem ⋮ The initial-boundary value problem for the Lifshitz–Slyozov equation with non-smooth rates at the boundary

Cites Work

• Unnamed Item
• Analysis of a model for the dynamics of prions. II
• On the solvability of a mathematical model for prion proliferation
• Global stability for the prion equation with general incidence
• Size distribution dependence of prion aggregates infectivity
• Semigroups of linear operators and applications to partial differential equations
• Gelation and mass conservation in coagulation-fragmentation models.
• On a class of continuous coagulation-fragmentation equations
• A mathematical analysis of the dynamics of prion proliferation
• Analysis of a model for the dynamics of prions
• Uniqueness of weak solutions to a prion equation with polymer joining
• Well-posedness for a model of prion proliferation dynamics
• EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL
• THE LIFSHITZ–SLYOZOV EQUATION WITH ENCOUNTERS
• Prion dynamics with size dependency–strain phenomena
• Effects of General Incidence and Polymer Joining on Nucleated Polymerization in a Model of Prion Proliferation

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