By Johnny T. Ottesen
This ebook is a part of a sequence from the Society for commercial and utilized arithmetic concentrating on Mathematical Modeling and Computation. The publication offers physiological and modeling basics with a compilation of study within the region. it really is a necessary reference for someone facing platforms body structure modeling and downstream functions. The content material lined by means of bankruptcy comprises; Cardiovascular and Pulmonary body structure and Anatomy, Blood circulation within the middle, The Ejection impression of the Pumping center, Modeling movement 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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Extra resources for Applied Mathematical Models in Human Physiology
This density distribution is assumed to be of the form where k = 1 corresponds to the source in the atrium and k — 2 corresponds to the sink in the aortic outflow tract. The index ex refers to the exterior source/sink placed outside the heart to accommodate excess inflow or outflow to/from the heart. (2i (0 and G« (0 denote the area flow rates through the source or sink. Conversion from area to volume is defined by specifying a "thickness" of the otherwise 2D domain $2. w^ and wex are weight functions (with dimension per unit area) representing the flow distribution across the sources and sinks (assumed to be time and flow independent), and Xk(t) and Xex(t) denote the current positions of the centers of the sources and sinks (which move with the heart).
Consequently, the arteries become markedly stiffer with increased distance from the heart. The parameters characterizing the elastic properties are Young's modulus, which is greater for arteries farther away from the heart, and relative wall thickness, which is constant for the larger arteries but increases for the smaller arteries and arterioles. The arterial wall is composed of three layers characterized by their predominant structure and cell types: • The internal layer, the tunica intima, is composed of an endothelial layer and an outer elastic laminar layer.
6 Pulmonary Physiology The main purpose of the respiratory system is to transport oxygen and carbon dioxide between the atmosphere and the tissue and organs in the body. Oxygen is a necessity for life, and a human being consumes approximately 260 ml/min at rest (Nunn, 1987). The oxygen is delivered from the atmosphere to the organs and tissue via the lungs and circulatory system. Carbon dioxide is a waste product of oxidative metabolism and is carried by the blood in the opposite direction, from the tissue to the lungs, where it is removed by ventilation.
Applied Mathematical Models in Human Physiology by Johnny T. Ottesen