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

Abstract : 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.
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https://hal.inrae.fr/hal-02618417
Déposant : Migration Prodinra <>
Soumis le : lundi 25 mai 2020 - 14:36:35
Dernière modification le : jeudi 18 juin 2020 - 03:10:35

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Marie Doumic, Klemens Fellner, Mathieu Mezache, Human Rezaei. A bi-monomeric, nonlinear Becker-Doring-type system to capture oscillatory aggregation kinetics in prion dynamics. Journal of Theoretical Biology, Elsevier, 2019, 480, pp.241-261. ⟨10.1016/j.jtbi.2019.08.007⟩. ⟨hal-02618417⟩

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