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Hemodynamics

Hemodynamics or haemodynamics are the dynamics of blood flow. The circulatory system is controlled by homeostatic mechanisms of autoregulation, just as hydraulic circuits are controlled by control systems. The hemodynamic response continuously monitors and adjusts to conditions in the body and its environment. Hemodynamics explains the physical laws that govern the flow of blood in the blood vessels.

Blood flow ensures the transportation of nutrients, hormones, metabolic waste products, oxygen, and carbon dioxide throughout the body to maintain cell-level metabolism, the regulation of the pH, osmotic pressure and temperature of the whole body, and the protection from microbial and mechanical harm.[1]


Blood is a non-Newtonian fluid, and is most efficiently studied using rheology rather than hydrodynamics. Because blood vessels are not rigid tubes, classic hydrodynamics and fluids mechanics based on the use of classical viscometers are not capable of explaining haemodynamics.[2]


The study of the blood flow is called hemodynamics, and the study of the properties of the blood flow is called hemorheology.

CO = cardiac output (L/sec)

SV = stroke volume (ml)

HR = heart rate (bpm)

R = resistance to blood flow

c = constant coefficient of flow

L = length of the vessel

η(δ) = of blood in the wall plasma release-cell layering

viscosity

r = radius of the blood vessel

δ = distance in the plasma release-cell layer

MAP = Mean Arterial Pressure

DP = Diastolic blood pressure

PP = Pulse pressure which is systolic pressure minus diastolic pressure.

[34]

The blood pressure in the circulation is principally due to the pumping action of the heart.[32] The pumping action of the heart generates pulsatile blood flow, which is conducted into the arteries, across the micro-circulation and eventually, back via the venous system to the heart. During each heartbeat, systemic arterial blood pressure varies between a maximum (systolic) and a minimum (diastolic) pressure.[33] In physiology, these are often simplified into one value, the mean arterial pressure (MAP), which is calculated as follows:





where:


Differences in mean blood pressure are responsible for blood flow from one location to another in the circulation. The rate of mean blood flow depends on both blood pressure and the resistance to flow presented by the blood vessels. Mean blood pressure decreases as the circulating blood moves away from the heart through arteries and capillaries due to viscous losses of energy. Mean blood pressure drops over the whole circulation, although most of the fall occurs along the small arteries and arterioles.[35] Gravity affects blood pressure via hydrostatic forces (e.g., during standing), and valves in veins, breathing, and pumping from contraction of skeletal muscles also influence blood pressure in veins.[32]


The relationship between pressure, flow, and resistance is expressed in the following equation:[12]


When applied to the circulatory system, we get:


where


A simplified form of this equation assumes right atrial pressure is approximately 0:


The ideal blood pressure in the brachial artery, where standard blood pressure cuffs measure pressure, is <120/80 mmHg. Other major arteries have similar levels of blood pressure recordings indicating very low disparities among major arteries. In the innominate artery, the average reading is 110/70 mmHg, the right subclavian artery averages 120/80 and the abdominal aorta is 110/70 mmHg.[25] The relatively uniform pressure in the arteries indicate that these blood vessels act as a pressure reservoir for fluids that are transported within them.


Pressure drops gradually as blood flows from the major arteries, through the arterioles, the capillaries until blood is pushed up back into the heart via the venules, the veins through the vena cava with the help of the muscles. At any given pressure drop, the flow rate is determined by the resistance to the blood flow. In the arteries, with the absence of diseases, there is very little or no resistance to blood. The vessel diameter is the most principal determinant to control resistance. Compared to other smaller vessels in the body, the artery has a much bigger diameter (4  mm), therefore the resistance is low.[25]


The arm–leg (blood pressure) gradient is the difference between the blood pressure measured in the arms and that measured in the legs. It is normally less than 10 mm Hg,[36] but may be increased in e.g. coarctation of the aorta.[36]

Berne RM, Levy MN. Cardiovascular physiology. 7th Ed Mosby 1997

Rowell LB. Human Cardiovascular Control. Oxford University press 1993

Braunwald E (Editor). Heart Disease: A Textbook of Cardiovascular Medicine. 5th Ed. W.B.Saunders 1997

Siderman S, Beyar R, Kleber AG. Cardiac Electrophysiology, Circulation and Transport. Kluwer Academic Publishers 1991

American Heart Association

Otto CM, Stoddard M, Waggoner A, Zoghbi WA. Recommendations for Quantification of Doppler Echocardiography: A Report from the Doppler Quantification Task Force of the Nomenclature and Standards Committee of the American Society of Echocardiography. J Am Soc Echocardiogr 2002;15:167-184

Peterson LH, The Dynamics of Pulsatile Blood Flow, Circ. Res. 1954;2;127-139

Bigatello LM, George E., Minerva Anestesiol, 2002 Apr;68(4):219-25

Hemodynamic Monitoring

Claude Franceschi L'investigation vasculaire par ultrasonographie Doppler Masson 1979 ISBN Nr 2-225-63679-6

Claude Franceschi; Paolo Zamboni Principles of Venous Hemodynamics Nova Science Publishers 2009-01 ISBN Nr 1606924850/9781606924853

Claude Franceschi

Venous Insufficiency of the pelvis and lower extremities-Hemodynamic Rationale

WR Milnor: Hemodynamics, Williams & Wilkins, 1982

B Bo Sramek: Systemic Hemodynamics and Hemodynamic Management, 4th Edition, ESBN 1-59196-046-0

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