Dr Pierre Jules Abel Roux

PhD, MS

Status

Postdoctoral Research Associate

Contact form

+44 1865 611511

ORCID iD

https://orcid.org/0000-0002-0512-0437

Research groups

Oxford Centre for Nonlinear PDE

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent publications

Theoretical study of the emergence of periodic solutions for the inhibitory NNLIF neuron model with synaptic delay

Ikeda, K Roux, P Salort, D Smets, D Mathematical Neuroscience and Applications volume 2 (26 Oct 2022)

Adaptation to DNA damage, an asymptotic approach for a cooperative non-local system

Léculier, A Roux, P Acta Applicandae Mathematicae volume 180 issue 1 (21 Jun 2022)

Towards a further understanding of the dynamics in the excitatory NNLIF neuron model: Blow-up and global existence

Roux, P Salort, D Kinetic & Related Models volume 14 issue 5 819-819 (01 Oct 2021)

Adaptation to DNA damage as a bet-hedging mechanism in a fluctuating environment

Roux, P Salort, D Xu, Z Royal Society Open Science volume 8 issue 8 210460-210460 (25 Aug 2021)

A hyperbolic-elliptic-parabolic PDE model describing chemotactic <i>E. Coli</i> colonies

Hilhorst, D Roux, P Discrete & Continuous Dynamical Systems - S volume 14 issue 8 2993-2993 (Aug 2021)

Mathematical treatment of PDE model of chemotactic E. coli colonies

Celiński, R Hilhorst, D Karch, G Mimura, M Roux, P Journal of Differential Equations volume 278 73-99 (25 Mar 2021)

Research interests

I am a Postdoctorate Research Associate in the group of José Antonio Carrillo de la Plata. I'm working in Nonlinear Partial Differential Equations applied to the living sciences. My main field of interest is Mathematical Neuroscience, in particular the study of mean-field type models describing neural networks at the mesoscopic scale. I also work on models of aggregation-diffusion type for population dynamics and integro-differential PDEs applied to genetics. I try to cover all aspects of the research in Mathematical biology: modelling, numerical simulations, collaborations with experimentalists and mathematical analysis.

Preferred address

pierre.roux(at)maths(dot)ox(dot)ac(dot)uk

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