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A mathematical analysis of an activator-inhibitor Rho GTPase model

journal contribution
posted on 2023-06-10, 01:39 authored by Victor Ogesa Juma, Leif Dehmelt, Stéphanie Portet, Anotida Madzvamuse
Recent experimental observations reveal that local cellular contraction pulses emerge via a combination of fast positive and slow negative feedbacks based on a signal network composed of Rho, GEF and Myosin interactions [22]. As an examplary, we propose to study a plausible, hypothetical temporal model that mirrors general principles of fast positive and slow negative feedback, a hallmark for activator-inhibitor models. The methodology involves (?) a qualitative analysis to unravel system switching between different states (stable, excitable, oscillatory and bistable) through model parameter variations; (?) a numerical bifurcation analysis using the positive feedback mediator concentration as a bifurcation parameter, (?) a sensitivity analysis to quantify the effect of parameter uncertainty on the model output for different dynamic regimes of the model system; and (?) numerical simulations of the model system for model predictions. Our methodological approach supports the role of mathematical and computational models in unravelling mechanisms for molecular and developmental processes and provides tools for analysis of temporal models of this nature.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of Computational Dynamics

ISSN

2158-2491

Publisher

American Institute of Mathematical Sciences

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2021-11-08

First Compliant Deposit (FCD) Date

2021-11-05

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