Proliferation in cell population models with age structure

Frédérique Billy; Jean Clairambault; Olivier Fercoq; Stéphane Gaubert; Thomas Lepoutre; Thomas Ouillon

doi:10.1063/1.3637834

Proliferation in cell population models with age structure

Frédérique Billy
, Jean Clairambault
, Olivier Fercoq
, Stéphane Gaubert
, Thomas Lepoutre
, Thomas Ouillon

UPMC Université de Paris VI
IGFL, Université de Lyon, Université Lyon 1

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

We study proliferation in tissues from the point of view of physiologically structured partial differential models, focusing on age synchronisation in the cell division cycle in cell populations and its control at phase transition checkpoints. We show how a recent fluorescence-based technique (FUCCI) performed at the single cell level in proliferating cell populations allows identifying model parameters and how it may be applied to investigate healthy and cancer cell populations. We show how this modelling approach allows designing original optimisation methods for cancer chronotherapeutics, by controlling eigenvalues of differential operators underlying proliferation dynamics, in tumour and in healthy cell populations.

Original language	English
Title of host publication	Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
Pages	1212-1215
Number of pages	4
DOIs	https://doi.org/10.1063/1.3637834
Publication status	Published - 1 Jan 2011
Event	International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 - Halkidiki, Greece Duration: 19 Sept 2011 → 25 Sept 2011

Publication series

Name	AIP Conference Proceedings
Volume	1389
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
Country/Territory	Greece
City	Halkidiki
Period	19/09/11 → 25/09/11

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Age-structured Models
Cancer
Cell division cycle
Cell population dynamics
Circadian rhythms
Growth exponent
Partial Differential Equations
Therapeutic optimisation

Access to Document

10.1063/1.3637834

Cite this

Billy, F., Clairambault, J., Fercoq, O., Gaubert, S., Lepoutre, T., & Ouillon, T. (2011). Proliferation in cell population models with age structure. In Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics (pp. 1212-1215). (AIP Conference Proceedings; Vol. 1389). https://doi.org/10.1063/1.3637834

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title = "Proliferation in cell population models with age structure",

abstract = "We study proliferation in tissues from the point of view of physiologically structured partial differential models, focusing on age synchronisation in the cell division cycle in cell populations and its control at phase transition checkpoints. We show how a recent fluorescence-based technique (FUCCI) performed at the single cell level in proliferating cell populations allows identifying model parameters and how it may be applied to investigate healthy and cancer cell populations. We show how this modelling approach allows designing original optimisation methods for cancer chronotherapeutics, by controlling eigenvalues of differential operators underlying proliferation dynamics, in tumour and in healthy cell populations.",

keywords = "Age-structured Models, Cancer, Cell division cycle, Cell population dynamics, Circadian rhythms, Growth exponent, Partial Differential Equations, Therapeutic optimisation",

author = "Fr{\'e}d{\'e}rique Billy and Jean Clairambault and Olivier Fercoq and St{\'e}phane Gaubert and Thomas Lepoutre and Thomas Ouillon",

year = "2011",

month = jan,

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doi = "10.1063/1.3637834",

language = "English",

isbn = "9780735409569",

series = "AIP Conference Proceedings",

pages = "1212--1215",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics",

note = "International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 ; Conference date: 19-09-2011 Through 25-09-2011",

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Billy, F, Clairambault, J, Fercoq, O , Gaubert, S, Lepoutre, T & Ouillon, T 2011, Proliferation in cell population models with age structure. in Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, vol. 1389, pp. 1212-1215, International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011, Halkidiki, Greece, 19/09/11. https://doi.org/10.1063/1.3637834

Proliferation in cell population models with age structure. / Billy, Frédérique; Clairambault, Jean; Fercoq, Olivier et al.
Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. 2011. p. 1212-1215 (AIP Conference Proceedings; Vol. 1389).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Billy, Frédérique

AU - Clairambault, Jean

AU - Fercoq, Olivier

AU - Gaubert, Stéphane

AU - Lepoutre, Thomas

AU - Ouillon, Thomas

PY - 2011/1/1

Y1 - 2011/1/1

N2 - We study proliferation in tissues from the point of view of physiologically structured partial differential models, focusing on age synchronisation in the cell division cycle in cell populations and its control at phase transition checkpoints. We show how a recent fluorescence-based technique (FUCCI) performed at the single cell level in proliferating cell populations allows identifying model parameters and how it may be applied to investigate healthy and cancer cell populations. We show how this modelling approach allows designing original optimisation methods for cancer chronotherapeutics, by controlling eigenvalues of differential operators underlying proliferation dynamics, in tumour and in healthy cell populations.

AB - We study proliferation in tissues from the point of view of physiologically structured partial differential models, focusing on age synchronisation in the cell division cycle in cell populations and its control at phase transition checkpoints. We show how a recent fluorescence-based technique (FUCCI) performed at the single cell level in proliferating cell populations allows identifying model parameters and how it may be applied to investigate healthy and cancer cell populations. We show how this modelling approach allows designing original optimisation methods for cancer chronotherapeutics, by controlling eigenvalues of differential operators underlying proliferation dynamics, in tumour and in healthy cell populations.

KW - Age-structured Models

KW - Cancer

KW - Cell division cycle

KW - Cell population dynamics

KW - Circadian rhythms

KW - Growth exponent

KW - Partial Differential Equations

KW - Therapeutic optimisation

U2 - 10.1063/1.3637834

DO - 10.1063/1.3637834

M3 - Conference contribution

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SN - 9780735409569

T3 - AIP Conference Proceedings

SP - 1212

EP - 1215

BT - Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics

T2 - International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011

Y2 - 19 September 2011 through 25 September 2011

ER -

Proliferation in cell population models with age structure

Abstract

Publication series

Conference

UN SDGs

Keywords

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