A mathematical model exhibiting the effect of DNA methylation on the stability boundary in cell-fate networks

Cell-fate networks are traditionally studied within the framework of gene regulatory networks. This paradigm considers only interactions of genes through expressed transcription factors and does not incorporate chromatin modification processes. This paper introduces a mathematical model that seamles...

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Main Authors: Tianchi Chen, M. Ali Al-Radhawi, Eduardo D. Sontag
Format: Article
Language:English
Published: Taylor & Francis Group 2021-04-01
Series:Epigenetics
Subjects:
Online Access:http://dx.doi.org/10.1080/15592294.2020.1805686
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author Tianchi Chen
M. Ali Al-Radhawi
Eduardo D. Sontag
author_facet Tianchi Chen
M. Ali Al-Radhawi
Eduardo D. Sontag
author_sort Tianchi Chen
collection DOAJ
description Cell-fate networks are traditionally studied within the framework of gene regulatory networks. This paradigm considers only interactions of genes through expressed transcription factors and does not incorporate chromatin modification processes. This paper introduces a mathematical model that seamlessly combines gene regulatory networks and DNA methylation (DNAm), with the goal of quantitatively characterizing the contribution of epigenetic regulation to gene silencing. The ‘Basin of Attraction percentage’ is introduced as a metric to quantify gene silencing abilities. As a case study, a computational and theoretical analysis is carried out for a model of the pluripotent stem cell circuit as well as a simplified self-activating gene model. The results confirm that the methodology quantitatively captures the key role that DNAm plays in enhancing the stability of the silenced gene state.
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spelling doaj.art-931b4a8f7e9042d495df2492cc3940f22023-09-21T13:09:24ZengTaylor & Francis GroupEpigenetics1559-22941559-23082021-04-0116443645710.1080/15592294.2020.18056861805686A mathematical model exhibiting the effect of DNA methylation on the stability boundary in cell-fate networksTianchi Chen0M. Ali Al-Radhawi1Eduardo D. Sontag2Northeastern UniversityNortheastern UniversityNortheastern UniversityCell-fate networks are traditionally studied within the framework of gene regulatory networks. This paradigm considers only interactions of genes through expressed transcription factors and does not incorporate chromatin modification processes. This paper introduces a mathematical model that seamlessly combines gene regulatory networks and DNA methylation (DNAm), with the goal of quantitatively characterizing the contribution of epigenetic regulation to gene silencing. The ‘Basin of Attraction percentage’ is introduced as a metric to quantify gene silencing abilities. As a case study, a computational and theoretical analysis is carried out for a model of the pluripotent stem cell circuit as well as a simplified self-activating gene model. The results confirm that the methodology quantitatively captures the key role that DNAm plays in enhancing the stability of the silenced gene state.http://dx.doi.org/10.1080/15592294.2020.1805686dna methylationstability boundarycell-fatetranscriptional regulationepigeneticsgene silencingbasin of attractionbistability
spellingShingle Tianchi Chen
M. Ali Al-Radhawi
Eduardo D. Sontag
A mathematical model exhibiting the effect of DNA methylation on the stability boundary in cell-fate networks
Epigenetics
dna methylation
stability boundary
cell-fate
transcriptional regulation
epigenetics
gene silencing
basin of attraction
bistability
title A mathematical model exhibiting the effect of DNA methylation on the stability boundary in cell-fate networks
title_full A mathematical model exhibiting the effect of DNA methylation on the stability boundary in cell-fate networks
title_fullStr A mathematical model exhibiting the effect of DNA methylation on the stability boundary in cell-fate networks
title_full_unstemmed A mathematical model exhibiting the effect of DNA methylation on the stability boundary in cell-fate networks
title_short A mathematical model exhibiting the effect of DNA methylation on the stability boundary in cell-fate networks
title_sort mathematical model exhibiting the effect of dna methylation on the stability boundary in cell fate networks
topic dna methylation
stability boundary
cell-fate
transcriptional regulation
epigenetics
gene silencing
basin of attraction
bistability
url http://dx.doi.org/10.1080/15592294.2020.1805686
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