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Titlebook: Continuous Media with Microstructure; Bettina Albers Book 2010 Springer-Verlag Berlin Heidelberg 2010 Dissipation.Phase Transitions.Wilman

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On the Derivation of Biological Tissue Models from Kinetic Models of Multicellular Growing Systemsc theory for active particles. The analysis is focused on growing cancer tissues. A critical analysis is proposed to enlighten the technical difficulties generated by dealing with living tissues and to focus the strategy to overcome them by new mathematical approaches.
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978-3-642-42564-6Springer-Verlag Berlin Heidelberg 2010
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https://doi.org/10.1007/978-3-322-83481-2om the general theory of continua with constrained microstructure [2] and, after, the appropriate constitutive relations are proposed along with the thermodynamic restrictions and the invariance principles. At the end we compare our theory with two previous proposals which are recovered to be particular cases of this one.
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Book 2010 in such materials, ..extensions of constitutive laws by internal variables, higher gradients and nonequilibrium fields, ..stochastic processes in porous and fractal materials, ..thermodynamic modeling of composite materials, ..mathematical analysis of multicomponent systems, ..phase transformations in solids. .
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