Modelling Population-Level Hes1 Dynamics: Insights from a Multi-framework Approach
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| Název: | Modelling Population-Level Hes1 Dynamics: Insights from a Multi-framework Approach |
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| Autoři: | Menz, Gesina, Engblom, Stefan |
| Zdroj: | Bulletin of Mathematical Biology. 87(6) |
| Témata: | Fate decision, Neurogenesis, Cellular synchronisation, Genetic oscillator, Pattern formation, Tillämpad matematik och statistik, Applied Mathematics and Statistics |
| Popis: | Mathematical models of living cells have been successively refined with advancementsin experimental techniques. A main concern is striking a balance between modellingpower and the tractability of the associated mathematical analysis. In this work wemodel the dynamics for the transcription factor Hairy and enhancer of split-1 (Hes1),whose expression oscillates during neural development, and which critically enablesstable fate decision in the embryonic brain. We design, parametrise, and analyse adetailed spatial model using ordinary differential equations (ODEs) over a grid cap-turing both transient oscillatory behaviour and fate decision on a population-level. Wealso investigate the relationship between this ODE model and a more realistic grid-based model involving intrinsic noise using mostly directly biologically motivatedparameters. While we focus specifically on Hes1 in neural development, the approachof linking deterministic and stochastic grid-based models shows promise in modellingvarious biological processes taking place in a cell population. In this context, our workstresses the importance of the interpretability of complex computational models intoa framework which is amenable to mathematical analysis. |
| Popis souboru: | electronic |
| Přístupová URL adresa: | https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-556848 https://doi.org/10.1007/s11538-025-01447-9 |
| Databáze: | SwePub |
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Nájsť tento článok vo Web of Science | Abstrakt: | Mathematical models of living cells have been successively refined with advancementsin experimental techniques. A main concern is striking a balance between modellingpower and the tractability of the associated mathematical analysis. In this work wemodel the dynamics for the transcription factor Hairy and enhancer of split-1 (Hes1),whose expression oscillates during neural development, and which critically enablesstable fate decision in the embryonic brain. We design, parametrise, and analyse adetailed spatial model using ordinary differential equations (ODEs) over a grid cap-turing both transient oscillatory behaviour and fate decision on a population-level. Wealso investigate the relationship between this ODE model and a more realistic grid-based model involving intrinsic noise using mostly directly biologically motivatedparameters. While we focus specifically on Hes1 in neural development, the approachof linking deterministic and stochastic grid-based models shows promise in modellingvarious biological processes taking place in a cell population. In this context, our workstresses the importance of the interpretability of complex computational models intoa framework which is amenable to mathematical analysis. |
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| ISSN: | 00928240 |
| DOI: | 10.1007/s11538-025-01447-9 |