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A physical model of cellular self-organization

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dc.contributor Ibañes Miguez, Marta
dc.creator Alonso Salvat, Adrià
dc.date 2016-10-19T15:47:01Z
dc.date 2016-10-19T15:47:01Z
dc.date 2016-06
dc.date.accessioned 2024-12-16T10:23:15Z
dc.date.available 2024-12-16T10:23:15Z
dc.identifier http://hdl.handle.net/2445/102749
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/15689
dc.description Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutora: Marta Ibañes
dc.description 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
dc.format 5 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Alonso, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Física
dc.subject Termodinàmica del desequilibri
dc.subject Hormones vegetals
dc.subject Treballs de fi de grau
dc.subject Nonequilibrium thermodynamics
dc.subject Plant hormones
dc.subject Bachelor's theses
dc.title A physical model of cellular self-organization
dc.type info:eu-repo/semantics/bachelorThesis


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