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

Marie Doumic; Klemens Fellner; Mathieu Mezache; Human Rezaei

doi:10.1016/j.jtbi.2019.08.007

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

Marie Doumic
, Klemens Fellner
, Mathieu Mezache
, Human Rezaei

Research output: Contribution to journal › Article › peer-review

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→k2W,W+C_i→a_iC_i+1,1≤i≤n,C_i+V→b_iC_i−1+2V,2≤i≤n,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.

Original language	English
Pages (from-to)	241-261
Number of pages	21
Journal	Journal of Theoretical Biology
Volume	480
DOIs	https://doi.org/10.1016/j.jtbi.2019.08.007
Publication status	Published - 7 Nov 2019

Keywords

Asymptotic expansion
Becker–Döring system
Lotka–Volterra system
Lyapunov functional
Oscillations
Prion modelling
Protein polymerisation
Stability analysis

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10.1016/j.jtbi.2019.08.007

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title = "A bi-monomeric, nonlinear Becker–D{\"o}ring-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→k2W,W+Ci→aiCi+1,1≤i≤n,Ci+V→biCi−1+2V,2≤i≤n,with n finite or infinite. This system may be viewed as a variant of the seminal Becker–D{\"o}ring system, and is capable of displaying sustained though damped oscillations.",

keywords = "Asymptotic expansion, Becker–D{\"o}ring system, Lotka–Volterra system, Lyapunov functional, Oscillations, Prion modelling, Protein polymerisation, Stability analysis",

author = "Marie Doumic and Klemens Fellner and Mathieu Mezache and Human Rezaei",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",

year = "2019",

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doi = "10.1016/j.jtbi.2019.08.007",

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AU - Doumic, Marie

AU - Fellner, Klemens

AU - Mezache, Mathieu

AU - Rezaei, Human

PY - 2019/11/7

Y1 - 2019/11/7

N2 - 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→k2W,W+Ci→aiCi+1,1≤i≤n,Ci+V→biCi−1+2V,2≤i≤n,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.

AB - 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→k2W,W+Ci→aiCi+1,1≤i≤n,Ci+V→biCi−1+2V,2≤i≤n,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.

KW - Asymptotic expansion

KW - Becker–Döring system

KW - Lotka–Volterra system

KW - Lyapunov functional

KW - Oscillations

KW - Prion modelling

KW - Protein polymerisation

KW - Stability analysis

UR - https://www.scopus.com/pages/publications/85070972584

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DO - 10.1016/j.jtbi.2019.08.007

M3 - Article

C2 - 31419441

AN - SCOPUS:85070972584

SN - 0022-5193

VL - 480

SP - 241

EP - 261

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

ER -

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

Abstract

Keywords

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