A bi-monomeric, nonlinear Becker-Döring-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: $$\left \{\!\! \begin{array}{lclr} {\cal V}+{\cal W}&\xrightarrow{k}&2{\cal W},\\ {\cal W}+{\cal C}_i&\xrightarrow{a_i} &{\cal C}_{i+1}, \quad & 1\leq i\leq n,\\ {\cal C}_i+{\cal V} &\xrightarrow{b_i} &{\cal C}_{i-1}+2{\cal V}, \quad & 2\leq i\leq n,\\ \end{array} \right. $$ with n finite or infinite. This system may be viewed as a variant of the seminal Becker-Döring system, and is capable of displaying sustained though damped oscillations.
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https://hal.archives-ouvertes.fr/hal-01863748
Contributor : Marie Doumic <>
Submitted on : Wednesday, August 29, 2018 - 6:49:58 AM
Last modification on : Wednesday, May 15, 2019 - 3:39:50 AM
Long-term archiving on : Friday, November 30, 2018 - 4:46:50 PM

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Marie Doumic, Klemens Fellner, Mathieu Mezache, Human Rezaei. A bi-monomeric, nonlinear Becker-Döring-type system to capture oscillatory aggregation kinetics in prion dynamics. 2018. ⟨hal-01863748⟩

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