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Titlebook: Complex Systems in Biomedicine; Alfio Quarteroni,Luca Formaggia,Alessandro Venezia Book 2006 Springer-Verlag Milan 2006 Approximation.Math

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Mathematical modelling of tumour growth and treatment,is of stresses. Here the question of blood vessel collapse in vascular tumours is treated briefly. Results on the existence of radially- and of non-radially-symmetric solutions are illustrated together with an investigation of their stability. Two sections are devoted to tumour cords (growing direct
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hysiopathologyisatremendouslyambitioustask. It encompasses the modeling of most diverse compartments such as the cardiovas- lar,respiratory,skeletalandnervoussystems,aswellasthemechanicalandbioch- ical interaction between blood ?ow and arterial walls, and electrocardiac processes and electric conduc
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Book 2006- lar,respiratory,skeletalandnervoussystems,aswellasthemechanicalandbioch- ical interaction between blood ?ow and arterial walls, and electrocardiac processes and electric conduction in biological tissues. Mathematical models can be set up to simulate both vasculogenesis (the aggregation and organiz
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Inverse problems in biomedical imaging: modeling and methods of solution,ey are ill-posed in the sense of Hadamard, so that their solutions require special care. In this chapter we sketch the main issues which must be considered when treating inverse problems of interest in biomedical imaging.
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Modelling the formation of capillaries,compared with experimental results in vitro and in vivo. The chapter also describes the effects of the environment on network formation and investigates the possibility of governing the network structure through the use of suitably placed chemoattractants and chemorepellents.
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