Ibañes Miguez, MartaAlonso Salvat, Adrià2016-10-192016-10-192016-06https://hdl.handle.net/2445/102749Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutora: Marta IbañesThe 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 model5 p.application/pdfengcc-by-nc-nd (c) Alonso, 2016http://creativecommons.org/licenses/by-nc-nd/3.0/es/Termodinàmica del desequilibriHormones vegetalsTreballs de fi de grauNonequilibrium thermodynamicsPlant hormonesBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess