Mathematical Modelling of p53 Signalling during DNA Damage Response: A Survey

No gene has garnered more interest than p53 since its discovery over 40 years ago. In the last two decades, thanks to seminal work from Uri Alon and Ghalit Lahav, p53 has defined a truly synergistic topic in the field of mathematical biology, with a rich body of research connecting mathematic endeav...

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Main Authors: Ján Eliaš, Cicely K. Macnamara
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:International Journal of Molecular Sciences
Subjects:
Online Access:https://www.mdpi.com/1422-0067/22/19/10590
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author Ján Eliaš
Cicely K. Macnamara
author_facet Ján Eliaš
Cicely K. Macnamara
author_sort Ján Eliaš
collection DOAJ
description No gene has garnered more interest than p53 since its discovery over 40 years ago. In the last two decades, thanks to seminal work from Uri Alon and Ghalit Lahav, p53 has defined a truly synergistic topic in the field of mathematical biology, with a rich body of research connecting mathematic endeavour with experimental design and data. In this review we survey and distill the extensive literature of mathematical models of p53. Specifically, we focus on models which seek to reproduce the oscillatory dynamics of p53 in response to DNA damage. We review the standard modelling approaches used in the field categorising them into three types: time delay models, spatial models and coupled negative-positive feedback models, providing sample model equations and simulation results which show clear oscillatory dynamics. We discuss the interplay between mathematics and biology and show how one informs the other; the deep connections between the two disciplines has helped to develop our understanding of this complex gene and paint a picture of its dynamical response. Although yet more is to be elucidated, we offer the current state-of-the-art understanding of p53 response to DNA damage.
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spelling doaj.art-0477296a819642939bcff81522a470d62023-11-22T16:12:17ZengMDPI AGInternational Journal of Molecular Sciences1661-65961422-00672021-09-0122191059010.3390/ijms221910590Mathematical Modelling of p53 Signalling during DNA Damage Response: A SurveyJán Eliaš0Cicely K. Macnamara1Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstrasse 36, 8010 Graz, AustriaSchool of Mathematics and Statistics, Mathematical Institute, University of St Andrews, St Andrews KY16 9SS, UKNo gene has garnered more interest than p53 since its discovery over 40 years ago. In the last two decades, thanks to seminal work from Uri Alon and Ghalit Lahav, p53 has defined a truly synergistic topic in the field of mathematical biology, with a rich body of research connecting mathematic endeavour with experimental design and data. In this review we survey and distill the extensive literature of mathematical models of p53. Specifically, we focus on models which seek to reproduce the oscillatory dynamics of p53 in response to DNA damage. We review the standard modelling approaches used in the field categorising them into three types: time delay models, spatial models and coupled negative-positive feedback models, providing sample model equations and simulation results which show clear oscillatory dynamics. We discuss the interplay between mathematics and biology and show how one informs the other; the deep connections between the two disciplines has helped to develop our understanding of this complex gene and paint a picture of its dynamical response. Although yet more is to be elucidated, we offer the current state-of-the-art understanding of p53 response to DNA damage.https://www.mdpi.com/1422-0067/22/19/10590p53 modelsoscillatory dynamicsnegative feedbacktime delaysspatial modelspositive feedback
spellingShingle Ján Eliaš
Cicely K. Macnamara
Mathematical Modelling of p53 Signalling during DNA Damage Response: A Survey
International Journal of Molecular Sciences
p53 models
oscillatory dynamics
negative feedback
time delays
spatial models
positive feedback
title Mathematical Modelling of p53 Signalling during DNA Damage Response: A Survey
title_full Mathematical Modelling of p53 Signalling during DNA Damage Response: A Survey
title_fullStr Mathematical Modelling of p53 Signalling during DNA Damage Response: A Survey
title_full_unstemmed Mathematical Modelling of p53 Signalling during DNA Damage Response: A Survey
title_short Mathematical Modelling of p53 Signalling during DNA Damage Response: A Survey
title_sort mathematical modelling of p53 signalling during dna damage response a survey
topic p53 models
oscillatory dynamics
negative feedback
time delays
spatial models
positive feedback
url https://www.mdpi.com/1422-0067/22/19/10590
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