Theory of time delayed genetic oscillations with external noisy regulation
We present a general theory of noisy genetic oscillators with externally regulated production rate and multiplicative noise. The observables that characterize the genetic oscillator are discussed, and it is shown how their statistics depend on the externally regulated production rate. We show that t...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/abd80b |
| _version_ | 1797750234994966528 |
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| author | Jose Negrete Jr Iván M Lengyel Laurel Rohde Ravi A Desai Andrew C Oates Frank Jülicher |
| author_facet | Jose Negrete Jr Iván M Lengyel Laurel Rohde Ravi A Desai Andrew C Oates Frank Jülicher |
| author_sort | Jose Negrete Jr |
| collection | DOAJ |
| description | We present a general theory of noisy genetic oscillators with externally regulated production rate and multiplicative noise. The observables that characterize the genetic oscillator are discussed, and it is shown how their statistics depend on the externally regulated production rate. We show that these observables have generic features that are observed in two different experimental systems: the expression of the circadian clock genes in fibroblasts, and in the transient and oscillatory dynamics of the segmentation clock genes observed in cells disassociated from zebrafish embryos. Our work shows that genetic oscillations with diverse biological contexts can be understood in a common framework based on a delayed negative feedback system, and regulator dynamics. |
| first_indexed | 2024-03-12T16:29:40Z |
| format | Article |
| id | doaj.art-a9d23faa19cd47dfa4d849bfc03a86a4 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:29:40Z |
| publishDate | 2021-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-a9d23faa19cd47dfa4d849bfc03a86a42023-08-08T15:33:29ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123303303010.1088/1367-2630/abd80bTheory of time delayed genetic oscillations with external noisy regulationJose Negrete Jr0https://orcid.org/0000-0002-8897-5907Iván M Lengyel1Laurel Rohde2Ravi A Desai3Andrew C Oates4https://orcid.org/0000-0002-3015-3978Frank Jülicher5https://orcid.org/0000-0003-4731-9185Max Planck Institute for the Physics of Complex Systems (MPIPKS) , D-01187 Dresden, Germany; Institute of Bioengineering , School of Life Sciences and School of Engineering, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, SwitzerlandMax Planck Institute for the Physics of Complex Systems (MPIPKS) , D-01187 Dresden, Germany; Instituto de Investigación en Biomedicina de Buenos Aires CONICET—Instituto Partner de la Sociedad Max Planck (IBioBA-MPSP) , C1425FQD Buenos Aires, ArgentinaInstitute of Bioengineering , School of Life Sciences and School of Engineering, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland; Francis Crick Institute , London NW1 1BF, United KingdomFrancis Crick Institute , London NW1 1BF, United KingdomInstitute of Bioengineering , School of Life Sciences and School of Engineering, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland; Francis Crick Institute , London NW1 1BF, United Kingdom; Department of Cell and Developmental Biology, University College London, London, United KingdomMax Planck Institute for the Physics of Complex Systems (MPIPKS) , D-01187 Dresden, Germany; Cluster of Excellence Physics of Life, Technische Universität Dresden, D-01307 Dresden, GermanyWe present a general theory of noisy genetic oscillators with externally regulated production rate and multiplicative noise. The observables that characterize the genetic oscillator are discussed, and it is shown how their statistics depend on the externally regulated production rate. We show that these observables have generic features that are observed in two different experimental systems: the expression of the circadian clock genes in fibroblasts, and in the transient and oscillatory dynamics of the segmentation clock genes observed in cells disassociated from zebrafish embryos. Our work shows that genetic oscillations with diverse biological contexts can be understood in a common framework based on a delayed negative feedback system, and regulator dynamics.https://doi.org/10.1088/1367-2630/abd80btransient noisy dynamicsgenetic oscillationsdelay differential equationscircadian rhythmsegmentation clockanalytical calculations |
| spellingShingle | Jose Negrete Jr Iván M Lengyel Laurel Rohde Ravi A Desai Andrew C Oates Frank Jülicher Theory of time delayed genetic oscillations with external noisy regulation New Journal of Physics transient noisy dynamics genetic oscillations delay differential equations circadian rhythm segmentation clock analytical calculations |
| title | Theory of time delayed genetic oscillations with external noisy regulation |
| title_full | Theory of time delayed genetic oscillations with external noisy regulation |
| title_fullStr | Theory of time delayed genetic oscillations with external noisy regulation |
| title_full_unstemmed | Theory of time delayed genetic oscillations with external noisy regulation |
| title_short | Theory of time delayed genetic oscillations with external noisy regulation |
| title_sort | theory of time delayed genetic oscillations with external noisy regulation |
| topic | transient noisy dynamics genetic oscillations delay differential equations circadian rhythm segmentation clock analytical calculations |
| url | https://doi.org/10.1088/1367-2630/abd80b |
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