Record link: 
http://hdl.handle.net/20.500.12708/139921
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Title: 
Qualitative Dynamics of Chemical Reaction Networks: An Investigation Using Partial Tropical Equilibrations
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Citation: 
Desoeuvres, A., Szmolyan, P., & Radulescu, O. (2022). Qualitative Dynamics of Chemical Reaction Networks: An Investigation Using Partial Tropical Equilibrations. In Petre Ion & Păun Andrei (Eds.), Computational Methods in Systems Biology (pp. 61–85). Springer Cham. https://doi.org/10.1007/978-3-031-15034-0_4
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Publisher DOI: 
10.1007/978-3-031-15034-0_4
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Publication Type: 
Inproceedings - Full-Paper Contribution
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Language: 
English
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Authors: 
Desoeuvres, Aurélien 
Szmolyan, Peter 
Radulescu, Ovidiu 
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Organisational Unit: 
E101-01 - Forschungsbereich Analysis 
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Published in: 
Computational Methods in Systems Biology 
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ISBN: 
978-3-031-15034-0
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Volume: 
13447
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DOI of the book: 
10.1007/978-3-031-15034-0
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Date (published): 
19-Aug-2022
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Event name: 
20th International Conference on Computational Methods in Systems Biology (CMSB 2022) 
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Event date: 
14-Sep-2022 - 16-Sep-2022
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Event place: 
Bucharest, Romania
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Number of Pages: 
25
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Publisher: 
Springer Cham
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Keywords: 
chemical reaction networks; dimension reduction; time scale separation; tropical equilibration; slow manifolds; cell cycle
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Abstract: 
We discuss a method to describe the qualitative dynamics of chemical reaction networks in terms of symbolic dynamics. The method, that can be applied to mass-action reaction networks with separated timescales, uses solutions of the partial tropical equilibration problem as proxies for symbolic states. The partial tropical equilibration solutions are found algorithmically. These solutions also provide the scaling needed for slow-fast decomposition and model reduction. Any trace of the model can thus be represented as a sequence of local approximations of the full model. We illustrate the method using as case study a biochemical model of the cell cycle.
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Project (external): 
ANR agence nationale de la recherche
Campus France/BMBWF Program Amadeus 2020
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Project ID: 
ANR-17-CE40-0036
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Research Areas: 
Mathematical and Algorithmic Foundations: 60%
Modeling and Simulation: 40%
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Science Branch: 
1010 - Mathematik: 100%
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Appears in Collections:
Conference Paper

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