A bi-monomeric, nonlinear Becker-Doring-type system to capture oscillatory aggregation kinetics in prion dynamics

JOURNAL OF THEORETICAL BIOLOGY

卷:480

Article

Doumic, Marie^1,2  Fellner, Klemens³  Mezache, Mathieu¹  Rezaei, Human⁴ 

[1] Univ Paris Diderot, Sorbonne Univ, CNRS, Inria,Lab Jacques Louis Lions, F-75005 Paris, France

[2] Univ Vienna, Wolfgang Pauli Inst, Vienna, Austria

[3] Karl Franzens Univ Graz, Inst Math & Sci Comp, A-8010 Graz, Austria

[4] INRA, UR892, Virol Immunol Mol, F-78350 Jouy En Josas, France

关键词: Protein polymerisation;    Prion modelling;    Becker-Doring system;    Lotka-Volterra system;    Lyapunov functional;    Stability analysis;    Oscillations;    Asymptotic expansion;   

DOI  :  10.1016/j.jtbi.2019.08.007

来源: Elsevier

【 摘 要 】

In this article, in order to understand the appearance of oscillations observed in protein aggregation experiments, we propose, motivate and analyse mathematically the differential system describing the kinetics of the following reactions: {V + W ->(k) 2W, W + C-i ->(ai) C-i+1,C- 1 <= i <= n, C-i + V ->(bi) Ci-1 + 2V, 2 <= i <= n, with n finite or infinite. This system may be viewed as a variant of the seminal Becker-Doring system, and is capable of displaying sustained though damped oscillations. (C) 2019 Elsevier Ltd. All rights reserved.

【 授权许可】

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