Applied Mathematical Models in Human Physiology by Johnny T. Ottesen

By Johnny T. Ottesen

This e-book is a part of a sequence from the Society for business and utilized arithmetic concentrating on Mathematical Modeling and Computation. The booklet offers physiological and modeling basics with a compilation of study within the sector. it truly is a vital reference for someone facing structures body structure modeling and downstream purposes. The content material coated via bankruptcy contains; Cardiovascular and Pulmonary body structure and Anatomy, Blood circulation within the middle, The Ejection impact of the Pumping middle, Modeling move and strain within the Systemic Arteries, A Cardiovascular version, A Baroreceptor version, respiratory, The SIMA Simulator, and Momentum Equation for a Small Artery.

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This behavior is, however, only present if the hematocrit is high. If the hematocrit falls below a critical value, there are not enough cells to produce the aggregated structures and no yield stresses will be found. • At high shear rates, the apparent viscosity in small vessels is lower than it is in larger vessels. The progressive diminution with the size of the vessels is detectable in vessels with an internal diameter less than 1 mm. It is even more pronounced in vessels with a diameter of 100 to 200 fj,m.

Physiol. 198:1193-1200. Used by permission from the American Physiological Society. significantly, as well as to the fact that cells often become stuck at constrictions in small vessels. However, cells become stuck most often in the capillaries. , vessels with a diameter bigger than 100 /zrn) are approximately equivalent to those that occur in the larger vessels. 5 Cardiovascular Regulation The regulation of human blood pressure is complex and involves a variety of control mechanisms. The biological function of blood pressure control is to provide adequate blood flow to the various organs connected to the human circulatory system.

In addition to the work by Peskin, the immersed boundary method has been studied and used by a number of people. Beyer and LeVeque (1992) studied the accuracy of various numerical approximations to fluid boundary coupling in a ID model for the immersed boundary method. In Beyer (1992) the method was used to model cochlea. In Vesier and Yoganathan (1992) the method is validated by a comparison between computational results for a model of flow through a flexible tube and an approximate analytic solution of this flow.

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