Abstract
Similarity criteria of the functional design of the mammalian cardiovascular system are scant. For the analysis of mammalian cardiac energetics physiological parameters such as mean arterial blood pressure, stroke volume, heart rate, metabolic rate and heart and body weights are considered pertinent. Based on these parameters, a new similarity principle is established via allometric equations, dimensional analysis and Buckingham's pi-theorem. The principle states that the ratio of left ventricular external work to metabolic rate is inversely proportional to resting heart rates of mammals. The proportionality constant is dimensionless and is invariant of mammalian body weights.
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Li, J.K.J. A new similarity principle for cardiac energetics. Bltn Mathcal Biology 45, 1005–1011 (1983). https://doi.org/10.1007/BF02458827
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DOI: https://doi.org/10.1007/BF02458827