Titlebook: Evolution Equations Arising in the Modelling of Life Sciences; Messoud Efendiev Book 2013 Springer Basel 2013 biofilm model.blood coagulat

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Verifying Life Science Models Containing Diffusion, Transport and Interaction of Species,entrations of nutrients and chemicals,population densities, temperature, pressure etc. Each model is some approximation of a real situation and therefore it is not clear beforehand, that the obtained models will obey the following crucial properties for the modellers: the solutions of continuous evo

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Existence and Longtime Behaviour of a Biofilm Model, this end it is enough to refer to: “It is the best of times for biofilm research” (Nature 76, vol. 15, pp. 76–81, 2007). In contrast to existing biofilm models, which are based mostly on discrete rules or hybrid models, we are mainly interested in a deterministic and continuous model which is descr

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Book 2013rning equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically.

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Evolution Equations Arising in the Modelling of Life Sciences

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0373-3149 ons. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically.978-3-0348-0780-7978-3-0348-0615-2Series ISSN 0373-3149 Series E-ISSN 2296-6072

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Verifying Life Science Models Containing Diffusion, Transport and Interaction of Species,nsport (convection) and interaction of species (nonlinear term) to preserve positive cones. It is worth noting, that so far such a criterion, in full generality, has only been found for scalar equations, which criterion is based on the maximum principle. It is well-known that for a system of parabol