A Stochastic Partial Differential Equation for Biological Growth with Genetically Controlled Cells1
نویسنده
چکیده
Much recent work in CA employs diffeomorphisms that deform templates into observed images. See Christensen, Rabbit, Miller (1994), Beg, Miller,Trouve, and Younes (2003), Mumford (2002), Miller, Trouve and Younes (2002). Further reference can be found at www.cis.jhu.edu and in Grenander,Miller (1998). This work has used a static approach, biological time does not enter the discussion, only algorithmic time, but now, when we are studying biological growth, the diffeomorphisms will represent the dynamics of growth/decay in biological time, and this will have important consequences for the model building. We have used models as the one in (1), and several variations of it,
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