2002/10/29 by P. C. T. Dajello, Dajello, P. C. T., P. R. Hauser +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Biological Physics (physics.bio-ph) #FOS: Biological sciences #FOS: Physical sciences #Quantitative Biology (q-bio) #physics.bio-ph #q-bio
paper · pdf · doi:10.48550/arxiv.physics/0210120
20 pages, 5 figures
arxiv created 2002/10/29 · arxiv updated 2009/12/01
A model to describe the arising of new structures in an initial homogeneous biological system is proposed. The essay is motivated by the intention to work on a non-equilibrium situation grouping together several mechanisms and processes as: catalytic reactions on a surface, diffusion, stimulated migration and selective heterogeneous reaction. A model for morphogenesis in early embryos is developed on two basic assumptions; (i) the existence of an electrified surface that defines the shape (form) of the growing structure and (ii) a mechanism to select morphogens (ions or free radicals) from an initially homogeneous medium. The homogeneity is broke when an electric potential arise between different parcels of the system, triggering a complex dynamic that drive the development of material deposits into localized regions of the space. The evolution of the deposits is described by a stochastic formalism allowing for analytical expressions relating macroscopic.