A mathematical modelling framework for the regulation of intra-cellular OCT4 in human pluripotent stem cells.


Journal

PloS one
ISSN: 1932-6203
Titre abrégé: PLoS One
Pays: United States
ID NLM: 101285081

Informations de publication

Date de publication:
2021
Historique:
received: 12 02 2021
accepted: 07 07 2021
entrez: 4 8 2021
pubmed: 5 8 2021
medline: 25 11 2021
Statut: epublish

Résumé

Human pluripotent stem cells (hPSCs) have the potential to differentiate into all cell types, a property known as pluripotency. A deeper understanding of how pluripotency is regulated is required to assist in controlling pluripotency and differentiation trajectories experimentally. Mathematical modelling provides a non-invasive tool through which to explore, characterise and replicate the regulation of pluripotency and the consequences on cell fate. Here we use experimental data of the expression of the pluripotency transcription factor OCT4 in a growing hPSC colony to develop and evaluate mathematical models for temporal pluripotency regulation. We consider fractional Brownian motion and the stochastic logistic equation and explore the effects of both additive and multiplicative noise. We illustrate the use of time-dependent carrying capacities and the introduction of Allee effects to the stochastic logistic equation to describe cell differentiation. We conclude both methods adequately capture the decline in OCT4 upon differentiation, but the Allee effect model has the advantage of allowing differentiation to occur stochastically in a sub-set of cells. This mathematical framework for describing intra-cellular OCT4 regulation can be extended to other transcription factors and developed into predictive models.

Identifiants

pubmed: 34347824
doi: 10.1371/journal.pone.0254991
pii: PONE-D-21-04839
pmc: PMC8336844
doi:

Substances chimiques

Octamer Transcription Factor-3 0

Types de publication

Journal Article Research Support, Non-U.S. Gov't

Langues

eng

Sous-ensembles de citation

IM

Pagination

e0254991

Subventions

Organisme : Medical Research Council
ID : G0301182
Pays : United Kingdom
Organisme : Biotechnology and Biological Sciences Research Council
ID : BB/I020209/1
Pays : United Kingdom

Déclaration de conflit d'intérêts

The authors have declared that no competing interests exist.

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Auteurs

L E Wadkin (LE)

School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, United Kingdom.

S Orozco-Fuentes (S)

Department of Mathematics, Physics and Electrical Engineering, Northumbria University, Newcastle upon Tyne, United Kingdom.

I Neganova (I)

Institute of Cytology, RAS St Petersburg, Novosibirsk, Russia.

M Lako (M)

Bioscience Institute, Newcastle University, Newcastle upon Tyne, United Kingdom.

N G Parker (NG)

School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, United Kingdom.

A Shukurov (A)

School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, United Kingdom.

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