Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment.
Analytic expression
Cellular heterogeneity
Chemical reaction networks
Discrete state Markov environment
Stationary mean
Zeroth-and first-order mass action kinetic
Journal
Journal of mathematical biology
ISSN: 1432-1416
Titre abrégé: J Math Biol
Pays: Germany
ID NLM: 7502105
Informations de publication
Date de publication:
12 08 2023
12 08 2023
Historique:
received:
26
08
2022
accepted:
22
07
2023
revised:
04
07
2023
medline:
14
8
2023
pubmed:
13
8
2023
entrez:
12
8
2023
Statut:
epublish
Résumé
Molecular reactions within a cell are inherently stochastic, and cells often differ in morphological properties or interact with a heterogeneous environment. Consequently, cell populations exhibit heterogeneity both due to these intrinsic and extrinsic causes. Although state-of-the-art studies that focus on dissecting this heterogeneity use single-cell measurements, the bulk data that shows only the mean expression levels is still in routine use. The fingerprint of the heterogeneity is present also in bulk data, despite being hidden from direct measurement. In particular, this heterogeneity can affect the mean expression levels via bimolecular interactions with low-abundant environment species. We make this statement rigorous for the class of linear reaction systems that are embedded in a discrete state Markov environment. The analytic expression that we provide for the stationary mean depends on the reaction rate constants of the linear subsystem, as well as the generator and stationary distribution of the Markov environment. We demonstrate the effect of the environment on the stationary mean. Namely, we show how the heterogeneous case deviates from the quasi-steady state (Q.SS) case when the embedded system is fast compared to the environment.
Identifiants
pubmed: 37573263
doi: 10.1007/s00285-023-01973-x
pii: 10.1007/s00285-023-01973-x
pmc: PMC10423146
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
43Informations de copyright
© 2023. The Author(s).
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