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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 thesis
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
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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