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TEMPOMATH

Temporal delays in mathematical models of cell biology processes

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

TEMPOMATH project word cloud

Explore the words cloud of the TEMPOMATH project. It provides you a very rough idea of what is the project "TEMPOMATH" about.

uncover collective temporal medical tumour researcher delayed time action exploring differential successful huge outcome wound motility experimentally share ultimate edge significantly pattern tools mathematical interrogate exposed group ways intensively theories memory healing functional oxford self trained primary biological models construction themes efforts variety collaborations techniques initiate equation these broaden organizing area centre biology movement fundamental cutting university expertise cell simultaneously feedbacks whenever testable understand wolfson verifiable predictive delays

Project "TEMPOMATH" data sheet

The following table provides information about the project.

Coordinator	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Organization address address: WELLINGTON SQUARE UNIVERSITY OFFICES city: OXFORD postcode: OX1 2JD website: www.ox.ac.uk 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	http://www.math.u-szeged.hu/
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

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Organization address address: WELLINGTON SQUARE UNIVERSITY OFFICES city: OXFORD postcode: OX1 2JD website: www.ox.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (OXFORD)	coordinator	146˙591.00

Map

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.

Publications

List of publications.
year	authors and title	journal	last update
2018	M. V. Barbarossa, M. Polner, G. RÃ¶st 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	IstvÃ¡n BalÃ¡zs, Gergely RÃ¶st 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	IstvÃ¡n GyÅ‘ri, Yukihiko Nakata, Gergely RÃ¶st 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	IstvÃ¡n BalÃ¡zs, Philipp Getto, Gergely RÃ¶st 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	GÃ¡bor Kiss, Gergely RÃ¶st Controlling Mackeyâ€“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 DÃ©nes, Yoshiaki Muroya, Gergely RÃ¶st 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, IstvÃ¡n Z. Kiss, Joel C. Miller, Gergely RÃ¶st 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 RÃ¶st 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, PÃ©ter Boldog, Gergely RÃ¶st 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. RÃ¶st, 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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