I will discuss tissue growth dynamics in simple geometries, introducing
the notion of homeostatic pressure. I will first show that when two
tissues compete for space, in the absence of chemical signaling, the
one, which has the largest homeostatic pressure, always win. I will
subsequently introduce dynamical equations, which exhibit fluid like
behavior on time scales long compared to duplication and apoptosis
times, in the vicinity of homeostatic conditions. Results concerning
cell diffusion behavior will be compared to 3d simulations. I will
eventually show that in order for a micro-tumor to grow it must exceed a
critical radius and calculate the probability for a tumor to exceed that
radius. Boundary effects and orders of magnitudes will also be
discussed.
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