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[In this chapter, the properties of biological materials are described both from a microscopic and a macroscopic point of view. Different techniques for measuring cell and tissue properties are described. Models are presented in the framework of continuum theories of viscoelasticity. Such models...
[The blood vital functions are adaptative and strongly regulated. The various processes associated with the flowing blood involve multiple space and time scales. Biochemical and biomechanical aspects of the human blood circulation are indeed strongly coupled. The functioning of the heart, the...
[Rupture of intracranial aneurysms is the leading cause of spontaneous subarachnoid hemorrhage, which results in significant morbidity and mortality. The mechanisms by which intracranial aneurysms develop, enlarge, and rupture are unknown, and it remains difficult to collect the longitudinal...
[The adaptation of fully biodegradable stents, thought to be the next revolution in minimally invasive cardiovascular interventions, is supported by recent findings in cardiovascular medicine concerning human coronaries and the likelihood of their deployment has been made possible by advances in...
[The mammalian hemostatic system has evolved to accomplish the task of sealing defects in the cardiovascular system. Hemostasis occurs in and around a disruption in a vascular conduit through which blood normally flows, and is characterized by the localized formation of thrombus. Consequently,...
[Experimental work has to be tightly linked with modeling. In fact, successful modeling requires firstly comparison with experiments in order to verify its predictions or to set its range of validity. Secondly, experiments measuring the mechanical properties of tissues are needed as input to...
[This chapter focuses on the mechanical aspects of tumor growth. After describing some of the main features of tumor growth and in particular the phenomena involving stress and deformation, the chapter deals with the multiphase framework recently developed to describe tumor growth and shows how...
[This contribution is concerned with the mathematical modeling of biological membranes. In particular, it explores the role played by some structures that make them inhomogeneous]
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