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Titlebook: New Challenges for Cancer Systems Biomedicine; Alberto d’Onofrio,Paola Cerrai,Alberto Gandolfi Book 2012 Springer-Verlag Italia Srl. 2012

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Combining Game Theory and Graph Theory to Model Interactions between Cells in the Tumor Microenvironame-like interactions influence the cellular topology of a planar tissue. We review the literature on the role of cell to cell interactions in tumourigenesis and survey the mathematical approaches that have been used to simulate such cell-cell interactions. We present how this game-graph approach ca
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Growth as the Root of all Evil in Carcinomas: Synergy between pH Buffering and Anti-Angiogenesis Preeath when the tumor burden is sufficiently large to interfere with the normal physiological functions. Each tumor is itself, a heterogeneous collection of habitats, predominantly due to variability in blood flow and cellular populations that exploit multiple different survival mechanisms and adaptiv
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Spatio-Temporal Modelling of Intracellular Signalling Pathways: Transcription Factors, Negative Feedys is those involving transcription factors (e.g. Hes 1, p53-Mdm2, NF-. B, heat-shock proteins) which often exhibit oscillations in both space and time. In this chapter we present a partial differential equation model of the transcription factor, Hes 1. Our model considers the dynamics of Hes 1 in a
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Modelling Biochemical Pathways with the Calculus of Looping Sequencesf operators which allow to represent the structure of such systems. Systems evolution is described by means of rewrite rules. A stochastic extension of CLS has been defined in which rewite rules are equipped with reaction rates. Such rates allow to use CLS for performing both stochastic simulation a
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Dynamic Simulations of Pathways Downstream of TGF,, Wnt and EGF-Family Growth Factors, in Colorectalnd systematic direct/indirect data extrapolation from several dozens of published experimental papers, and some data interpolation that could fit with the general behavior of this signaling-network region, we were able to obtain an operative mathematical simulation model. We could simulate normal co
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