Chemical event chain model of coupled genetic oscillators

We introduce a stochastic model of coupled genetic oscillators in which chains of chemical events involved in gene regulation and expression are represented as sequences of Poisson processes. We characterize steady states by their frequency, their quality factor, and their synchrony by the oscillato...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Jörg, D.J., Morelli, L.G., Jülicher, F.
Formato: JOUR
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_24700045_v97_n3_p_Jorg
Aporte de:
id todo:paper_24700045_v97_n3_p_Jorg
record_format dspace
spelling todo:paper_24700045_v97_n3_p_Jorg2023-10-03T16:42:21Z Chemical event chain model of coupled genetic oscillators Jörg, D.J. Morelli, L.G. Jülicher, F. Chains Gene expression Gene expression regulation Stochastic systems Cross correlations Distributed delays Genetic oscillators Isolated regions Parameter spaces Phase oscillators Stochastic oscillations Stochastic transitions Stochastic models biological model cells cytology gene expression regulation Markov chain metabolism signal transduction Cells Gene Expression Regulation Models, Biological Signal Transduction Stochastic Processes We introduce a stochastic model of coupled genetic oscillators in which chains of chemical events involved in gene regulation and expression are represented as sequences of Poisson processes. We characterize steady states by their frequency, their quality factor, and their synchrony by the oscillator cross correlation. The steady state is determined by coupling and exhibits stochastic transitions between different modes. The interplay of stochasticity and nonlinearity leads to isolated regions in parameter space in which the coupled system works best as a biological pacemaker. Key features of the stochastic oscillations can be captured by an effective model for phase oscillators that are coupled by signals with distributed delays. © 2018 American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_24700045_v97_n3_p_Jorg
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Chains
Gene expression
Gene expression regulation
Stochastic systems
Cross correlations
Distributed delays
Genetic oscillators
Isolated regions
Parameter spaces
Phase oscillators
Stochastic oscillations
Stochastic transitions
Stochastic models
biological model
cells
cytology
gene expression regulation
Markov chain
metabolism
signal transduction
Cells
Gene Expression Regulation
Models, Biological
Signal Transduction
Stochastic Processes
spellingShingle Chains
Gene expression
Gene expression regulation
Stochastic systems
Cross correlations
Distributed delays
Genetic oscillators
Isolated regions
Parameter spaces
Phase oscillators
Stochastic oscillations
Stochastic transitions
Stochastic models
biological model
cells
cytology
gene expression regulation
Markov chain
metabolism
signal transduction
Cells
Gene Expression Regulation
Models, Biological
Signal Transduction
Stochastic Processes
Jörg, D.J.
Morelli, L.G.
Jülicher, F.
Chemical event chain model of coupled genetic oscillators
topic_facet Chains
Gene expression
Gene expression regulation
Stochastic systems
Cross correlations
Distributed delays
Genetic oscillators
Isolated regions
Parameter spaces
Phase oscillators
Stochastic oscillations
Stochastic transitions
Stochastic models
biological model
cells
cytology
gene expression regulation
Markov chain
metabolism
signal transduction
Cells
Gene Expression Regulation
Models, Biological
Signal Transduction
Stochastic Processes
description We introduce a stochastic model of coupled genetic oscillators in which chains of chemical events involved in gene regulation and expression are represented as sequences of Poisson processes. We characterize steady states by their frequency, their quality factor, and their synchrony by the oscillator cross correlation. The steady state is determined by coupling and exhibits stochastic transitions between different modes. The interplay of stochasticity and nonlinearity leads to isolated regions in parameter space in which the coupled system works best as a biological pacemaker. Key features of the stochastic oscillations can be captured by an effective model for phase oscillators that are coupled by signals with distributed delays. © 2018 American Physical Society.
format JOUR
author Jörg, D.J.
Morelli, L.G.
Jülicher, F.
author_facet Jörg, D.J.
Morelli, L.G.
Jülicher, F.
author_sort Jörg, D.J.
title Chemical event chain model of coupled genetic oscillators
title_short Chemical event chain model of coupled genetic oscillators
title_full Chemical event chain model of coupled genetic oscillators
title_fullStr Chemical event chain model of coupled genetic oscillators
title_full_unstemmed Chemical event chain model of coupled genetic oscillators
title_sort chemical event chain model of coupled genetic oscillators
url http://hdl.handle.net/20.500.12110/paper_24700045_v97_n3_p_Jorg
work_keys_str_mv AT jorgdj chemicaleventchainmodelofcoupledgeneticoscillators
AT morellilg chemicaleventchainmodelofcoupledgeneticoscillators
AT julicherf chemicaleventchainmodelofcoupledgeneticoscillators
_version_ 1782026420369752064