Displaying similar documents to “The Intersection of Theory and Application in Elucidating Pattern Formation in Developmental Biology”

Reaction-Difusion Model of Early Carcinogenesis: The Effects of Influx of Mutated Cells

Anna Marciniak-Czochra, Marek Kimmel (2008)

Mathematical Modelling of Natural Phenomena

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In this paper we explore a new model of field carcinogenesis, inspired by lung cancer precursor lesions, which includes dynamics of a spatially distributed population of pre-cancerous cells , constantly supplied by an influx of mutated normal cells. Cell proliferation is controlled by growth factor molecules bound to cells, . Free growth factor molecules are produced by precancerous cells and may diffuse before they become bound to other cells. The purpose of modelling is to investigate...

Universality of slow decorrelation in KPZ growth

Ivan Corwin, Patrik L. Ferrari, Sandrine Péché (2012)

Annales de l'I.H.P. Probabilités et statistiques

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There has been much success in describing the limiting spatial fluctuations of growth models in the Kardar–Parisi–Zhang (KPZ) universality class. A proper rescaling of time should introduce a non-trivial temporal dimension to these limiting fluctuations. In one-dimension, the KPZ class has the dynamical scaling exponent = 3/2, that means one should find a universal space–time limiting process under the scaling of time as , space like 2/3 and fluctuations like 1/3 as → ∞. In this paper...