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Spatiotemporal dynamics of the Calvin cycle multistationarity and symmetry breaking instabilities

  • The possibility of controlling the Calvin cycle has paramount implications for increasing the production of biomass. Multistationarity, as a dynamical feature of systems, is the first obvious candidate whose control could find biotechnological applications. Here we set out to resolve the debate on the multistationarity of the Calvin cycle. Unlike the existing simulation-based studies, our approach is based on a sound mathematical framework, chemical reaction network theory and algebraic geometry, which results in provable results for the investigated model of the Calvin cycle in which we embed a hierarchy of realistic kinetic laws. Our theoretical findings demonstrate that there is a possibility for multistationarity resulting from two sources, homogeneous and inhomogeneous instabilities, which partially settle the debate on multistability of the Calvin cycle. In addition, our tractable analytical treatment of the bifurcation parameters can be employed in the design of validation experiments.

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Author details:Sergio Grimbs, Anne ArnoldGND, Aneta Koseska, Jürgen KurthsORCiDGND, Joachim SelbigGND, Zoran NikoloskiORCiDGND
DOI:https://doi.org/10.1016/j.biosystems.2010.10.015
ISSN:0303-2647
Title of parent work (English):Biosystems : journal of biological and information processing sciences
Publisher:Elsevier
Place of publishing:Oxford
Publication type:Article
Language:English
Year of first publication:2011
Publication year:2011
Release date:2017/03/26
Tag:Algebraic geometry; Bifurcation parameters; Biomass; Calvin cycle; Multistationarity
Volume:103
Issue:2
Number of pages:12
First page:212
Last Page:223
Funding institution:Federal Ministry of Education and Research [0313924, 0315417F]; Max Planck Society
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Biochemie und Biologie
Peer review:Referiert
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