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Well-posedness for a model of prion proliferation dynamics

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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.

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Authors and Affiliations

  1. Mathématiques pour l’Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier - Toulouse 3, 118 route de Narbonne, F-31062, Toulouse cedex 9, France

    Philippe Laurençot

  2. Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN, 37240, USA

    Christoph Walker

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  1. Philippe Laurençot
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  2. Christoph Walker
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Correspondence to Philippe Laurençot.

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Laurençot, P., Walker, C. Well-posedness for a model of prion proliferation dynamics. J. evol. equ. 7, 241–264 (2007). https://doi.org/10.1007/s00028-006-0279-2

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  • DOI: https://doi.org/10.1007/s00028-006-0279-2

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