Age-structured cell population model to study the influence of growth factors on cell cycle dynamics
Cell proliferation is controlled by many complex regulatory networks. Our purpose is to analyse, through mathematical modeling, the effects of growth factors on the dynamics of the division cycle in cell populations. Our work is based on an age-structured PDE model of the cell d...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2012-11-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590108153348096 |
|---|---|
| author | Frédérique Billy Jean Clairambault Franck Delaunay Céline Feillet Natalia Robert |
| author_facet | Frédérique Billy Jean Clairambault Franck Delaunay Céline Feillet Natalia Robert |
| author_sort | Frédérique Billy |
| collection | DOAJ |
| description | Cell proliferation is controlled by many complex regulatory networks. Our purpose is to analyse, through mathematical modeling, the effects of growth factors on the dynamics of the division cycle in cell populations. Our work is based on an age-structured PDE model of the cell division cycle within a population of cells in a common tissue. Cell proliferation is at its first stages exponential and is thus characterised by its growth exponent, the first eigenvalue of the linear system we consider here, a growth exponent that we will explicitly evaluate from biological data.Moreover, this study relies on recent and innovative imaging data (fluorescence microscopy) that make us able to experimentally determine the parameters of the model and to validate numerical results.This model has allowed us to study the degree of simultaneity of phase transitions within a proliferating cell population and to analyse the role of an increased growth factor concentration in this process. This study thus aims at helping biologists to elicit the impact of growth factor concentration on cell cycle regulation, at making more precise the dynamics of key mechanisms controlling the division cycle in proliferating cell populations, and eventually at establishing theoretical bases for optimised combined anticancer treatments. |
| format | Article |
| id | doaj-art-39404f1102f341c6ac05bc07d4bd114a |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2012-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-39404f1102f341c6ac05bc07d4bd114a2025-01-24T02:25:25ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-11-0110111710.3934/mbe.2013.10.1Age-structured cell population model to study the influence of growth factors on cell cycle dynamicsFrédérique Billy0Jean Clairambault1Franck Delaunay2Céline Feillet3Natalia Robert4INRIA Paris-Rocquencourt, Domaine de Voluceau, Rocquencourt, B.P. 105, F-78153 Le Chesnay CedexINRIA Paris-Rocquencourt, Domaine de Voluceau, Rocquencourt, B.P. 105, F-78153 Le Chesnay CedexINRIA Paris-Rocquencourt, Domaine de Voluceau, Rocquencourt, B.P. 105, F-78153 Le Chesnay CedexINRIA Paris-Rocquencourt, Domaine de Voluceau, Rocquencourt, B.P. 105, F-78153 Le Chesnay CedexINRIA Paris-Rocquencourt, Domaine de Voluceau, Rocquencourt, B.P. 105, F-78153 Le Chesnay CedexCell proliferation is controlled by many complex regulatory networks. Our purpose is to analyse, through mathematical modeling, the effects of growth factors on the dynamics of the division cycle in cell populations. Our work is based on an age-structured PDE model of the cell division cycle within a population of cells in a common tissue. Cell proliferation is at its first stages exponential and is thus characterised by its growth exponent, the first eigenvalue of the linear system we consider here, a growth exponent that we will explicitly evaluate from biological data.Moreover, this study relies on recent and innovative imaging data (fluorescence microscopy) that make us able to experimentally determine the parameters of the model and to validate numerical results.This model has allowed us to study the degree of simultaneity of phase transitions within a proliferating cell population and to analyse the role of an increased growth factor concentration in this process. This study thus aims at helping biologists to elicit the impact of growth factor concentration on cell cycle regulation, at making more precise the dynamics of key mechanisms controlling the division cycle in proliferating cell populations, and eventually at establishing theoretical bases for optimised combined anticancer treatments.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1cell division cyclegrowth factorsadaptive dynamics.proliferationcell population dynamics |
| spellingShingle | Frédérique Billy Jean Clairambault Franck Delaunay Céline Feillet Natalia Robert Age-structured cell population model to study the influence of growth factors on cell cycle dynamics Mathematical Biosciences and Engineering cell division cycle growth factors adaptive dynamics. proliferation cell population dynamics |
| title | Age-structured cell population model to study the influence of growth factors on cell cycle dynamics |
| title_full | Age-structured cell population model to study the influence of growth factors on cell cycle dynamics |
| title_fullStr | Age-structured cell population model to study the influence of growth factors on cell cycle dynamics |
| title_full_unstemmed | Age-structured cell population model to study the influence of growth factors on cell cycle dynamics |
| title_short | Age-structured cell population model to study the influence of growth factors on cell cycle dynamics |
| title_sort | age structured cell population model to study the influence of growth factors on cell cycle dynamics |
| topic | cell division cycle growth factors adaptive dynamics. proliferation cell population dynamics |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1 |
| work_keys_str_mv | AT frederiquebilly agestructuredcellpopulationmodeltostudytheinfluenceofgrowthfactorsoncellcycledynamics AT jeanclairambault agestructuredcellpopulationmodeltostudytheinfluenceofgrowthfactorsoncellcycledynamics AT franckdelaunay agestructuredcellpopulationmodeltostudytheinfluenceofgrowthfactorsoncellcycledynamics AT celinefeillet agestructuredcellpopulationmodeltostudytheinfluenceofgrowthfactorsoncellcycledynamics AT nataliarobert agestructuredcellpopulationmodeltostudytheinfluenceofgrowthfactorsoncellcycledynamics |