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Markov Chain for an Indicator Passing Through Cardio-Vascular System

Viktor Kislukhin

ISBN 10: 3846593656 / ISBN 13: 9783846593653
Published by LAP Lambert Academic Publishing, 2013
New Condition: New Soft cover
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76 pages. Dimensions: 8.7in. x 5.9in. x 0.2in.Some problems in estimation of the state of the cardio-vascular system (CVS) cannot be solved without mathematics modeling. One example would be how to separate the first pass of an indicator from the recirculation. This separation is needed in order to estimate the flow pumped by the heart during a unit of time. Another example would be to determine the cause that it takes an indicator such a long time to mix within the CVS. It is critical to know this in order to interpret the value of blood volumes. These and others problems are solved in this manuscript by viewing the CVS as an oriented closed graph and blood flow as described by the Markov matrix. A mathematical model reveals that, in the microcirculation, there are a fraction of closed microvessels that are in random exchange with open microvessels. This mechanism is responsible for the delayed mixing of an indicator, the slow removal of the metabolic waste products (including the delay in nitrogen removal in divers) and could thus be a regulator of O2 delivery to the tissues. This manuscript is, therefore, of interest to and can be used by engineers, physicists, and mathematicians who work with medical and biological data This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9783846593653

Bibliographic Details

Title: Markov Chain for an Indicator Passing ...

Publisher: LAP Lambert Academic Publishing

Publication Date: 2013

Binding: Paperback

Book Condition: New

Book Type: Paperback

About this title

Synopsis:

Some problems in estimation of the state of the cardio-vascular system (CVS) cannot be solved without mathematics modeling. One example would be how to separate the first pass of an indicator from the recirculation. This separation is needed in order to estimate the flow pumped by the heart during a unit of time. Another example would be to determine the cause that it takes an indicator such a long time to mix within the CVS. It is critical to know this in order to interpret the value of blood volumes. These and others problems are solved in this manuscript by viewing the CVS as an oriented closed graph and blood flow as described by the Markov matrix. A mathematical model reveals that, in the microcirculation, there are a fraction of closed microvessels that are in random exchange with open microvessels. This mechanism is responsible for the delayed mixing of an indicator, the slow removal of the metabolic waste products (including the delay in nitrogen removal in divers) and could thus be a regulator of O2 delivery to the tissues. This manuscript is, therefore, of interest to and can be used by engineers, physicists, and mathematicians who work with medical and biological data

About the Author:

Viktor Kislukhin was born in 1947 in Moscow. After graduation from Moscow State University (theority of probability) in 1969 he started work as a mathematician in Moscow Center for Surgery. In 1998 he was invated to work in Transonic Systems Inc., Ithaca, NY as a R&D scientist. Married, two children.

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