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A mathematical model of tissue growth based on progenitor-to-differentiated state transition

AuthorsSánchez, Máximo ; Ramaekers, Arianne; Almudi, Isabel; Martín-Blanco, Carlos; Hassan, Bassem; Casares, Fernando
Issue Date2016
PublisherSociedad Española de Biología Celular
Citation11th Meeting SEBD (2016)
AbstractDeveloping tissues are composed of cells that undergo an irreversible transition of gene regulatory states, from unspecified progenitors to precursors of final functional fates. This process is marked by a change in the cells’ proliferation potential which is tightly controlled by transcription factors belonging to specific gene regulatory networks (GRN), therefore determining the size of the mature organ. Here we present a simple mathematical analysis of tissue growth that allows to predict final organ size based on the speed of the cell state transition and on the cell proliferation rate. The model also predicts properties of the system, such as a) sensitivity to initial conditions of the parameters and b) the parameter subspace that ensures the successful termination without overgrowth. We tested the model by predicting the changes in parameters that would explain the size difference of the eyes of two Drosophila species, its predictions on the natural eye variations that occur between two species of Drosophila, D. melanogaster and D. pseudoobscura. Even though the initial size of the eye primordia in these two species differ, the model predicts that these size differences alone cannot explain the final sizes of the eyes without the readjustment of differentiation rates, something that we verified experimentally. This would indicate that quantitative differences in pathways involved in controlling the differentiation rate, such as those of Dpp/BMP2 or Hh would be involved in these inter-specific eye size differences. With this framework at hand we expect to identify quantitative effects on cellular parameters for several lossof-function mutants affecting eye size, and from other dipteran species (i.e. Episyrphus balteatus) with varying eye sizes in the hope to restrict the scope of solutions for molecular models of gene regulation.
DescriptionResumen del póster presentado al 11th Meeting of the Spanish Society for Developmental Biology, celebrado en Girona (España) del 19 al 21 de octubre de 2016.
Appears in Collections:(CABD) Comunicaciones congresos
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