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Ottesen J.T. — Applied Mathematical Models in Human Physiology
Ottesen J.T. — Applied Mathematical Models in Human Physiology



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Название: Applied Mathematical Models in Human Physiology

Автор: Ottesen J.T.

Аннотация:

This book introduces mathematicians to real applications from physiology. Using mathematics to analyze physiological systems, the authors focus on models reflecting current research in cardiovascular and pulmonary physiology. In particular, they present models describing blood flow in the heart and the cardiovascular system, as well as the transport of oxygen and carbon dioxide through the respiratory system and a model for baroreceptor regulation.

Applied Mathematical Models in Human Physiology is the only book available that analyzes up-to-date models of the physiological system at several levels of detail. Some are simple "real-time" models that can be directly used in larger systems, while others are more detailed "reference" models that show the underlying physiological mechanisms and provide parameters for and validation of simpler models. The book also covers two-dimensional modeling of the fluid dynamics in the heart and its ability to pump, and includes a discussion of modeling wave-propagation throughout the systemic arteries.

The models presented can be used as case studies in courses on mathematical modeling or as an inspiration for the study and development of physiological models. The first two chapters of the book provide an excellent introduction to the physiologic concepts necessary for understanding the modeling assumptions and methodologies. The remaining chapters describe six different models of the cardiovascular and pulmonary system. Each model is introduced by a case study and can be studied individually.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 298

Добавлена в каталог: 26.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Pressure, veins      19
Pressure, versus flow      129
Pulmonary, capillary compartment      218
Pulmonary, circulation      8
Pulmonary, valve      10 13
Pulsatile carotid sinus pressure      183
Pulsatile models      139
Pure resistance condition      94 114 127
Purkinje fiber      14
Radius power law, structured tree      102
Radius, structured tree, minimum      121
Radius, structured tree, root      121
Reflected waves      80
Resistance      138
Respiration      197
Respiratory system      28
Respiratory zone      30
Results      123
Reynolds number      19 45
Sarcomere      15
Sarcoplasmic reticulum      15 17
Scaling parameters      101 104 113 121
Semilunar valves      12
Septum      11
Septum, interatrial      11
Septum, interventricular      11
Shear stress      107
Sliding filament theory      17
Small arteries, assumptions      117
Small arteries, Bessel equations      117 266
Small arteries, bifurcation condition      120
Small arteries, blood flow      255
Small arteries, continuity equation      118
Small arteries, cross-sectional area      101
Small arteries, elasticity      262
Small arteries, external forces      257
Small arteries, external forces, total      259
Small arteries, fluid dynamic model      116
Small arteries, geometry      100
Small arteries, harmonic waves      266
Small arteries, inertial force      258
Small arteries, internal and external forces      260
Small arteries, internal and external forces, normal part      261
Small arteries, internal and external forces, tangential part      260
Small arteries, internal forces      256
Small arteries, linearized equations, definitions      263
Small arteries, linearized equations, first order      264
Small arteries, linearized equations, solution      266
Small arteries, linearized equations, zeroth order      264
Small arteries, longitudinal velocity      117 273
Small arteries, momentum equation      117
Small arteries, motion, fluid      255
Small arteries, motion, fluid and vessel wall      263
Small arteries, motion, vessel wall      256
Small arteries, Navier — Stokes equations      256
Small arteries, state equation      118
Small arteries, surface force      258
Small arteries, tethering force      258
Small arteries, vessel length      104
Starling’s law      77
State equation      135
State equation, large arteries      111
State equation, small arteries      118
Stokes boundary layer      271
Stressed volume      145
Structured tree      101 115 135
Structured tree, area ratio      102
Structured tree, asymmetry ratio      102
Structured tree, impedance      120 121
Structured tree, impedance, terminal      123
Structured tree, minimum radius      121
Structured tree, order      104 135
Structured tree, radius power law      102
Structured tree, root radius      121
Structured tree, scaling parameters      101 104 113 121
Structured tree, terminal resistance      121
Subclavian, flow, $q(x_{fixed}, t)$      124
Subclavian, flow, q(x,t)      126
Subclavian, pressure $p(x_{fixed}, t)$      124
Subclavian, pressure p(x,t)      126
Surface force, small arteries      258
Sympathetic activity      166 189
Systemic circulation      8
Systole      10 37
T-tubules      15
Tapering factor      96 119
Tension      213
Terminal cisternae      15
Terminal resistance, structured tree      121
Tethering force, small arteries      258
Thrombocytes      25
Tidal volume      31
Time-varying elastance function      142 149
Trachea      30
Tricuspid valve      10 13
Tropomyosin      17
Troponin      17
Tunica, adventitia      23
Tunica, intima      20
Tunica, media      23
Unified baroreceptor model      162 189 195
Unstressed volume      145
Unstressed volume, control      172
Unstressed volume, venous      173
Vasa vasorum      23
Vascular model      143
Veins      8
Veins, muscles      19
Veins, pressure      19
Veins, wall properties      19
Velocity, longitudinal, small arteries      117 273
Velocity, profile across vessel      109
Vena cava      8
Venous compliance      173
Venous compliance, control      172
Venous inflow      35 37
Venous, unstressed volume      173
Ventilation      29
Ventilation disorder(s), obstructive      31
Ventilation disorder(s), restrictive      31
Ventricle, left      10 35
Ventricle, right      10
Venules      8
Vessel length, small arteries      104
viscosity      134
Viscosity of blood      see "Blood"
Viscosity of plasma      see "Plasma"
Volume, pulmonary circulation      8
Volume, systemic circulation      8
Wall thickness      98 104
Wave equation      119
Wave propagation      119 134
Wave propagation, complex      118
Windkessel arterial load      76 77
Windkessel condition      94 115 127 134
Windkessel model      41—42
Windkessel model, discretization      45
Windkessel model, evaluation      53—56
Womersley number      117 266 271
Young’s modulus      20 98 104 135 138
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