Noise-induced mixing and multimodality in reaction networks
We analyse a class of chemical reaction networks under mass-action kinetics involving multiple time scales, whose deterministic and stochastic models display qualitative differences. The networks are inspired by gene-regulatory networks and consist of a slow subnetwork, describing conversions among...
| Главные авторы: | , , |
|---|---|
| Формат: | Journal article |
| Опубликовано: |
Cambridge University Press
2018
|
| _version_ | 1826291566166147072 |
|---|---|
| author | Plesa, T Erban, R Othmer, H |
| author_facet | Plesa, T Erban, R Othmer, H |
| author_sort | Plesa, T |
| collection | OXFORD |
| description | We analyse a class of chemical reaction networks under mass-action kinetics involving multiple time scales, whose deterministic and stochastic models display qualitative differences. The networks are inspired by gene-regulatory networks and consist of a slow subnetwork, describing conversions among the different gene states, and fast subnetworks, describing biochemical interactions involving the gene products. We show that the long-term dynamics of such networks can consist of a unique attractor at the deterministic level (unistability), while the long-term probability distribution at the stochastic level may display multiple maxima (multimodality). The dynamical differences stem from a phenomenon we call noise-induced mixing, whereby the probability distribution of the gene products is a linear combination of the probability distributions of the fast subnetworks which are ‘mixed’ by the slow subnetworks. The results are applied in the context of systems biology, where noise-induced mixing is shown to play a biochemically important role, producing phenomena such as stochastic multimodality and oscillations. |
| first_indexed | 2024-03-07T03:01:19Z |
| format | Journal article |
| id | oxford-uuid:b10e6250-9782-40d9-b34a-05f51ae5e9ed |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:01:19Z |
| publishDate | 2018 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:b10e6250-9782-40d9-b34a-05f51ae5e9ed2022-03-27T04:01:09ZNoise-induced mixing and multimodality in reaction networksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b10e6250-9782-40d9-b34a-05f51ae5e9edSymplectic Elements at OxfordCambridge University Press2018Plesa, TErban, ROthmer, HWe analyse a class of chemical reaction networks under mass-action kinetics involving multiple time scales, whose deterministic and stochastic models display qualitative differences. The networks are inspired by gene-regulatory networks and consist of a slow subnetwork, describing conversions among the different gene states, and fast subnetworks, describing biochemical interactions involving the gene products. We show that the long-term dynamics of such networks can consist of a unique attractor at the deterministic level (unistability), while the long-term probability distribution at the stochastic level may display multiple maxima (multimodality). The dynamical differences stem from a phenomenon we call noise-induced mixing, whereby the probability distribution of the gene products is a linear combination of the probability distributions of the fast subnetworks which are ‘mixed’ by the slow subnetworks. The results are applied in the context of systems biology, where noise-induced mixing is shown to play a biochemically important role, producing phenomena such as stochastic multimodality and oscillations. |
| spellingShingle | Plesa, T Erban, R Othmer, H Noise-induced mixing and multimodality in reaction networks |
| title | Noise-induced mixing and multimodality in reaction networks |
| title_full | Noise-induced mixing and multimodality in reaction networks |
| title_fullStr | Noise-induced mixing and multimodality in reaction networks |
| title_full_unstemmed | Noise-induced mixing and multimodality in reaction networks |
| title_short | Noise-induced mixing and multimodality in reaction networks |
| title_sort | noise induced mixing and multimodality in reaction networks |
| work_keys_str_mv | AT plesat noiseinducedmixingandmultimodalityinreactionnetworks AT erbanr noiseinducedmixingandmultimodalityinreactionnetworks AT othmerh noiseinducedmixingandmultimodalityinreactionnetworks |