Titlebook: Hemomath; The Mathematics of B Antonio Fasano,Adélia Sequeira Book 2017 Springer International Publishing AG, part of Springer Nature 2017

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Antonio Fasano,Adélia SequeiraHalberstam, and, in modified form, at the October 2014 workshop at the Royal Swedish Academy of Sciences, Stockholm, on the occasion of the presentation to Yitang Zhang of the 2014 Rolf Schock Prize in Mathematics for his ground-breaking work on bounded gaps between primes.

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ive topics. These topics are connected by a thread which we shall follow in the reverse order so that in fact the work in each section was to a greater or lesser extent motivated by the work in the subsequent sections.

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Hemorheology and Hemodynamics,l be enriched in the rest of the book, when needed. Concerning modeling, this chapter is devoted to the debatable question of the rheological properties of blood and to the various ways the circulatory system has been described in a mathematical way, both at the scale of main vessels and at the leve

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Blood Filtration in Kidneys,try whose aim is not only to purify blood, but also to regulate blood pressure. In this chapter we will concentrate on modeling their filtrating action, which is made possible thanks to the admirable structure of the capillaries in the filtration units (the?nephrons), provided with fenestrations cal

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Extracorporeal Blood Ultrafiltration,. It is obvious that such procedures invariably require sophisticated techniques, so it is not surprising that mathematics comes into play in a massive way. Having just described the physiology of kidneys it is rather natural to start with hemodialysis, i.e. blood filtration (or more precisely ultra

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