Pattern formation in auxin flux
| Autor: | Chrystel Feller, Jean-Pierre Gabriel, Christian Mazza, Florence Yerly |
|---|---|
| Přispěvatelé: | University of Zurich, Mazza, Christian |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Lyapunov function
SX20 Research Technology and Development Projects 1101 Agricultural and Biological Sciences (miscellaneous) Quantitative Biology::Tissues and Organs Pattern formation Biology Stability (probability) Models Biological SX13 Plant Growth symbols.namesake SX00 SystemsX.ch 2604 Applied Mathematics Auxin Botany Morphogenesis Computer Simulation Tissues and Organs (q-bio.TO) Equilibrium point chemistry.chemical_classification Indoleacetic Acids Applied Mathematics Quantitative Biology - Tissues and Organs Biological Transport Plants biology.organism_classification Agricultural and Biological Sciences (miscellaneous) Modelling and Simulation Coupling (computer programming) chemistry Modeling and Simulation FOS: Biological sciences symbols 570 Life sciences biology Plant hormone Biological system Flux (metabolism) 2611 Modeling and Simulation |
| Zdroj: | Journal of Mathematical Biology, vol. 68, no. 4, pp. 879-909 |
| Popis: | The plant hormone auxin is fundamental for plant growth, and its spatial distribution in plant tissues is critical for plant morphogenesis. We consider a leading model of the polar auxin flux, and study in full detail the stability of the possible equilibrium configurations. We show that the critical states of the auxin transport process are composed of basic building blocks, which are isolated in a background of auxin depleted cells, and are not geometrically regular in general. The same model was considered recently through a continuous limit and a coupling to the von Karman equations, to model the interplay of biochemistry and mechanics during plant growth. Our conclusions might be of interest in this setting, since, for example, we establish the existence of Lyapunov functions for the auxin flux, proving in this way the convergence of pure transport processes toward the set of critical configurations. Comment: 27 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|