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Titlebook: Mathematical Modeling of Biological Systems, Volume I; Cellular Biophysics, Andreas Deutsch,Lutz Brusch,Hanspeter Herzel Book 2007 Birkhäus

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Transition Networks: A Unifying Theme for Molecular Simulation and Computer Sciencemethods to generate and analyze a TN for molecular systems. The appropriate identification of states and transitions from the potential energy surface of the molecule is discussed. We describe a formalism transforming a TN on a static energy surface into a time-dependent dynamic TN that yields the p
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Pigmentation Pattern Formation in Butterfly Wings: Global Patterns on Fore- and Hindwinge our attention to the mechanisms for generating global patterns. We focus on the relationship between pattern forming mechanisms for the fore- and hindwing patterns. Through mathematical modeling and computational analysis of . and ., our results indicate that the patterns formed on the forewing ne
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Agent-Based Model for Developmental Pattern Formation with Multiscale Dynamics and Varying Cell Geomced “islands” of cartilage analogous to the cartilage primordia of the developing limb skeleton. In this chapter a discrete, multiscale agent-based stochastic model is described, which is based on an extended cell representation coupled with biologically motivated reaction-diffusion processes and ce
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A Modified Backward Euler Scheme for Advection-Reaction-Diffusion Systemsrming domains. We compare our scheme to the second-order semi-implicit backward finite differentiation formula and conclude that for the type of equations considered, the first-order scheme has a larger region of stability for the time step than that of the second-order scheme (at least by a factor
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Ilya B. Kovalenko,Galina Yu. Riznichenkod was a tedious reworking of old material. So we started over determined to write something new. At first we thought this approach might not work as a coherent mono­ graph, which is why we chose the essay format rather than chapters. As it turns out, there is a common thread—namely the directional d
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