| Model combining hydrodynamics and fractal theory for analysis of in vivo peripheral pulmonary and systemic resistance of shunt cardiac defects. | |
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MedLine Citation:
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PMID: 21820445 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
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The fractal state of the arterial vascular tree is considered to have a universal dimension related to the principle of minimum work rate, but can demonstrate the capacity to adapt to other dimensions in disease states such as congenital high-flow pulmonary hypertension (PH) by a process that is incompletely understood. To document and interpret fractal adaptation in patients with different degrees of PH, pulmonary and systemic vascular resistance was analyzed by a model that evaluated the fractal dimension, x, of the Poiseuille resistance contribution of the arterial vessel radius between 10 and 100μm, via the proportionality Q∝(R(peri)/BL)(-x/4), with Q, R(peri), and BL clinically observed variables representing total pulmonary or systemic blood flow, its peripheral arterial resistance, and body length, respectively. Identification of x in the pulmonary (P) and systemic (S) beds was evaluated from hemodynamic data of 213 patients, categorized into 7 groups by PH grade. In controls without PH, x(P)=2.2 while the dimension increased to 3.0, with the systemic dimension constant at x(S)=3.1. Our model predicts that severe grades of PH are associated with: a more elongated and hindered vessel in the periphery, and reductions in vessel numbers, as unit pulmonary resistive arterial trees (N(1)) and their component intra-acinar arteries (N(W)). These model network changes suggest a complex adaptive process of arterial network reorganization in the pulmonary circulation to minimize the work rate of high-flow congenital heart defects. |
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Authors:
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Yoshihiro Nakamura; Shoichi Awa; Hitoshi Kato; Yoichi M Ito; Akira Kamiya; Takashi Igarashi |
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Publication Detail:
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Type: JOURNAL ARTICLE Date: 2011-7-30 |
Journal Detail:
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Title: Journal of theoretical biology Volume: - ISSN: 1095-8541 ISO Abbreviation: - Publication Date: 2011 Jul |
Date Detail:
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Created Date: 2011-8-8 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0376342 Medline TA: J Theor Biol Country: - |
Other Details:
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Languages: ENG Pagination: - Citation Subset: - |
Copyright Information:
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Copyright © 2011. Published by Elsevier Ltd. |
Affiliation:
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Department of Pediatrics, Graduate School of Medicine, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8655, Japan. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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