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Temporal delays in mathematical models of cell biology processes

Total Cost €


EC-Contrib. €






Project "TEMPOMATH" data sheet

The following table provides information about the project.


Organization address
city: OXFORD
postcode: OX1 2JD

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Project website
 Total cost 146˙591 €
 EC max contribution 146˙591 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2016
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2017
 Duration (year-month-day) from 2017-07-10   to  2019-01-09


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project objective

The primary aim of the action is the construction and analysis of new predictive and verifiable mathematical models that can uncover the effects of time delays upon various cell biology processes. In this timely project we aim to apply cutting edge functional differential equation techniques to interrogate a number of cell biology processes of huge current interest, including collective cell movement, tumour growth and self-organizing pattern formation. The ultimate goal of this research is to develop new mathematical ways to understand and control cell biology processes. The successful outcome of this project will be robust and experimentally testable mathematical theories that can be applied to a wide variety of biological and medical problems, whenever temporal delays are relevant.

The researcher will be intensively trained in areas of mathematical biology that are new to him, by exploring a range of cell biology processes that are the focus of current state-of-the-art research efforts within the Oxford mathematical biology group, and investigate the role of delayed feedbacks and memory effects in these processes. These mathematical models will share common mathematical themes and challenges. Thus while being exposed to these fundamental areas of mathematical biology (cell motility, tumour growth, wound healing, pattern formation, development etc.), we aim, simultaneously, to develop new mathematical tools that have a wide range of important and timely biological applications.

The researcher will be fully integrated into the Wolfson Centre for Mathematical Biology at the Mathematical Institute of the University of Oxford. The project will allow him to significantly broaden his area of expertise and initiate new long term collaborations.


year authors and title journal last update
List of publications.
2018 M. V. Barbarossa, M. Polner, G. Röst
Temporal Evolution of Immunity Distributions in a Population with Waning and Boosting
published pages: 1-13, ISSN: 1076-2787, DOI: 10.1155/2018/9264743
Complexity 2018 2019-09-02
2018 István Balázs, Gergely Röst
Hopf bifurcation and period functions for Wright type delay differential equations
published pages: , ISSN: 2331-8422, DOI:
Arxiv, preprint submitted for publication 2019-09-02
2018 István Győri, Yukihiko Nakata, Gergely Röst
Unbounded and blow-up solutions for a delay logistic equation with positive feedback
published pages: 2845-2854, ISSN: 1553-5258, DOI: 10.3934/cpaa.2018134
Communications on Pure & Applied Analysis 17/6 2019-09-02
2018 István Balázs, Philipp Getto, Gergely Röst
A continuous semiflow on a space of Lipschitz functions for a differential equation with state-dependent delay from cell biology
published pages: , ISSN: 2331-8422, DOI:
Arxiv, preprint submitted for publication 2019-09-02
2017 Gábor Kiss, Gergely Röst
Controlling Mackey–Glass chaos
published pages: 114321, ISSN: 1054-1500, DOI: 10.1063/1.5006922
Chaos: An Interdisciplinary Journal of Nonlinear Science 27/11 2019-09-02
2018 Attila Dénes, Yoshiaki Muroya, Gergely Röst
Global stability of a multistrain SIS model with superinfection and patch structure
published pages: , ISSN: 2331-8422, DOI:
Arxiv, preprint submitted for publication 2019-09-02
2019 Zsolt Vizi, István Z. Kiss, Joel C. Miller, Gergely Röst
A monotonic relationship between the variability of the infectious period and final size in pairwise epidemic modelling
published pages: , ISSN: 2190-5983, DOI: 10.1186/s13362-019-0058-7
Journal of Mathematics in Industry 9/1 2019-09-02
2019 Ruth E. Baker, Gergely Röst
Global dynamics of a novel delayed logistic equation arising from cell biology
published pages: , ISSN: 2331-8422, DOI:
Arxiv, preprint submitted for publication 2019-09-02
2018 Ruth E. Baker, Péter Boldog, Gergely Röst
Convergence of solutions in a mean-field model of go-or-grow type with reservation of sites for proliferation and cell cycle delay
published pages: , ISSN: , DOI:
Arxiv, preprint submitted for publication 2019-09-02
2018 G. Röst, Z. Vizi, I. Z. Kiss
Pairwise approximation for SIR -type network epidemics with non-Markovian recovery
published pages: 20170695, ISSN: 1364-5021, DOI: 10.1098/rspa.2017.0695
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 474/2210 2019-09-02

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