Hierarchy of models: From qualitative to quantitative analysis of circadian rhythms in cyanobacteria
| Autor: | Madalena Chaves, Miguel Preto |
|---|---|
| Přispěvatelé: | Biological control of artificial ecosystems (BIOCORE), Institut National de la Recherche Agronomique (INRA)-Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire d'océanographie de Villefranche (LOV), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire océanologique de Villefranche-sur-mer (OOVM), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire océanologique de Villefranche-sur-mer (OOVM), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS), Astronomische Rechen-Institut [Heidelberg] (ARI), Zentrum für Astronomie der Universität Heidelberg (ZAH), Universität Heidelberg [Heidelberg]-Universität Heidelberg [Heidelberg], Laboratoire d'océanographie de Villefranche (LOV), Observatoire océanologique de Villefranche-sur-mer (OOVM), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Observatoire océanologique de Villefranche-sur-mer (OOVM), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de la Recherche Agronomique (INRA), Universität Heidelberg [Heidelberg] = Heidelberg University-Universität Heidelberg [Heidelberg] = Heidelberg University |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Differential equation
[SDV]Life Sciences [q-bio] synchronisation General Physics and Astronomy Cyanobacteria 01 natural sciences Models Biological Synchronization 010305 fluids & plasmas 03 medical and health sciences [SPI]Engineering Sciences [physics] Adenosine Triphosphate [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM] Mixing (mathematics) Bacterial Proteins Control theory [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering 0103 physical sciences Phosphorylation Boolean functions cellular biophysics Boolean function microorganisms Mathematical Physics 030304 developmental biology Mathematics 0303 health sciences Hierarchy (mathematics) Applied Mathematics differential equations Statistical and Nonlinear Physics Circadian Rhythm Adenosine Diphosphate circadian rhythms Ordinary differential equation oscillations Biological system Entrainment (chronobiology) Differential (mathematics) Signal Transduction |
| Zdroj: | Chaos: An Interdisciplinary Journal of Nonlinear Science Chaos: An Interdisciplinary Journal of Nonlinear Science, AIP, 2013, 23 (2), pp.025113. ⟨10.1063/1.4810922⟩ Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics, 2013, 23 (2), pp.025113. ⟨10.1063/1.4810922⟩ Chaos: An Interdisciplinary Journal of Nonlinear Science, 2013, 23 (2), pp.025113. ⟨10.1063/1.4810922⟩ |
| ISSN: | 1054-1500 |
| DOI: | 10.1063/1.4810922⟩ |
| Popis: | International audience; A hierarchy of models, ranging from high to lower levels of abstraction, is proposed to construct "minimal" but predictive and explanatory models of biological systems. Three hierarchical levels will be considered: Boolean networks, piecewise affine differential (PWA) equations, and a class of continuous, ordinary, differential equations' models derived from the PWA model. This hierarchy provides different levels of approximation of the biological system and, crucially, allows the use of theoretical tools to more exactly analyze and understand the mechanisms of the system. The Kai ABC oscillator, which is at the core of the cyanobacterial circadian rhythm, is analyzed as a case study, showing how several fundamental properties-order of oscillations, synchronization when mixing oscillating samples, structural robustness, and entrainment by external cues-can be obtained from basic mechanisms. |
| Databáze: | OpenAIRE |
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