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http://hdl.handle.net/2445/102749| Title: | A physical model of cellular self-organization |
| Author: | Alonso Salvat, Adrià |
| Director/Tutor: | Ibañes Miguez, Marta |
| Keywords: | Termodinàmica del desequilibri Hormones vegetals Treballs de fi de grau Nonequilibrium thermodynamics Plant hormones Bachelor's theses |
| Issue Date: | Jun-2016 |
| Abstract: | The formation of spatial patterns is a phenomenon that we can and in nonequilibrium systems. Here we model the dynamics of phytohormone auxin, responsible for plant growth, in a one-dimensional ring of 100 cells. Through the numerical integration of the differential equations that control the dynamics of auxin concentration and through a linear stability analysis of these dynamics, we determine the conditions for the homogeneous stationary state of auxin concentration to be linearly unstable and dynamically evolve to a spatial periodic pattern, in which there are spatial regions with high auxin concentration alternating with spatial zones with low auxin concentration. Finally we establish a comparison with a prototype model of pattern formation, the Swift-Hohenberg model |
| Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutora: Marta Ibañes |
| URI: | http://hdl.handle.net/2445/102749 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| TFG_FIS_Alonso_Salvat_Adria.pdf | 309.82 kB | Adobe PDF | View/Open |
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