tailieunhanh - Báo cáo y học: " The fractal geometry of nutrient exchange surfaces does not provide an explanation for 3/4-power metabolic scaling"

Tuyển tập các báo cáo nghiên cứu về y học được đăng trên tạp chí y học quốc tế cung cấp cho các bạn kiến thức về ngành y đề tài: The fractal geometry of nutrient exchange surfaces does not provide an explanation for 3/4-power metabolic scaling | Theoretical Biology and Medical Modelling BioMed Central Research Open Access The fractal geometry of nutrient exchange surfaces does not provide an explanation for 3 4-power metabolic scaling Page R Painter Address Office of Environmental Health Hazard Assessment California Environmental Protection Agency P. O. Box 4010 Sacramento California 95812 USA Email Page R Painter - ppainter@ Corresponding author Published II August 2005 Received 30 April 2005 Theoretical Biology and Medical Modelling 2005 2 30 doi 1742-4682-2-30 Accepted 11 August 2005 This article is available from http content 2 1 30 2005 Painter licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Abstract Background A prominent theoretical explanation for 3 4-power allometric scaling of metabolism proposes that the nutrient exchange surface of capillaries has properties of a space-filling fractal. The theory assumes that nutrient exchange surface area has a fractal dimension equal to or greater than 2 and less than or equal to 3 and that the volume filled by the exchange surface area has a fractal dimension equal to or greater than 3 and less than or equal to 4. Results It is shown that contradicting predictions can be derived from the assumptions of the model. When errors in the model are corrected it is shown to predict that metabolic rate is proportional to body mass proportional scaling . Conclusion The presence of space-filling fractal nutrient exchange surfaces does not provide a satisfactory explanation for 3 4-power metabolic rate scaling. Background Physiological variables . cardiac output or structural variables . pulmonary alveolar surface area in mammals of mass M in many cases are closely approximated by an .

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