Geodesic
The Construction and Analysis of Complex Hemodynamics Model of Human Cardiovascular System, Including Biophysical and Biochemical Blocks
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 1, pp. 95-107

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The researching objects of this work are processes, taking place in circulatory humans system. In this work we study three models of cardiovascular humans system, which are represented by algebra differential equations. The main aim is a numerical analysis of these models and also a search of possibility to connect and aggregate them. As the result the complex model of cardiovascular humans system was obtained. It makes possible to trace the dynamics of an arterial pressure, the blood flow and the sectional area during rather long time interval (a few weeks!) in each point of each arteriole of a man, who suffers from different pathologies of cardiovascular system. The complex hemodynamics model makes possible to compute a wide spectrum of states and pathologies. The application of this model in biology and medicine will permit to study different diseases of cardiovascular humans system in detail.
Keywords: model of cardiovascular system, complex hemodynamics model, arterial pressure, cardiovascular system processes, the analysis of hemodynamics equations, vascular tree, circulatory system pathologies, kidney regulation. 
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     author = {B. V. Semisalov},
     title = {The {Construction} and {Analysis} of {Complex} {Hemodynamics} {Model} of {Human} {Cardiovascular} {System,} {Including} {Biophysical} and {Biochemical} {Blocks}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {95--107},
     publisher = {mathdoc},
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B. V. Semisalov. The Construction and Analysis of Complex Hemodynamics Model of Human Cardiovascular System, Including Biophysical and Biochemical Blocks. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 1, pp. 95-107. http://geodesic.mathdoc.fr/item/VNGU_2010_10_1_a7/