INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
congresos y reuniones científicas
Morphogen distribution in a finite tissue: a modelling approach
CHARA, OSVALDO; BORGES, AUGUSTO; CECCARELLI, ALBERTO
Conferencia; Latin American Society for Developmental Biology (LASDB) meeting 2019; 2019
Morphogen distributions are classically modelled assuming mechanisms of reaction and diffusion. These reaction-diffusion models usually assume infinite spatial domains. Since tissues clearly do not have infinite sizes, an important question would be how this assumption affects the spatiotemporal morphogen distribution. To tackle this question, we study a mathematical model given by a one-dimension partial differential equation (PDE). In particular, we analytically investigate a model encoding a mechanism of reaction and diffusion in a finite domain and compare it with the classical model involving reaction and diffusion in an infinite domain. We quantify the shape of the morphogen spatial distributions together with the characteristic time needed to achieve the steady state. Our results show the parametric regimes in which morphogen concentrations could be wrongly estimated when assuming an infinite tissue. Finally, we demonstrate that our model of finite tissue converges to the model of infinite tissue when the tissue size diverges.