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dc.contributorArroyo Balaguer, Marino
dc.contributor.authorJiménez Ramos, Albert
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.description.abstractIn this thesis we review some basic concepts of tensors and differential geometry and apply them to model the actin cortex, an active envelop that determines the shape and mechanical properties of animal cells. The model formalism invokes Onsager's variational principle. We study the cell response under a density gradient when we vary the rates of polymerization and depolymerization. Two different scenarios are observed: the cell recovers the equilibrium density, or the gradient increases giving rise to a stable-bleb shape. The transition between these two situations is also studied.
dc.publisherUniversitat Politècnica de Catalunya
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshNatural history
dc.subject.otherCell cortex
dc.subject.otherActin cortex
dc.subject.otherDifferential geometry
dc.titleTheoretical and numerical examination of a nonlinear active gel model for the actin cortex of cells
dc.typeBachelor thesis
dc.subject.lemacCiències naturals
dc.subject.amsClassificació AMS::92 Biology and other natural sciences::92C Physiological, cellular and medical topics
dc.rights.accessOpen Access
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística

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