Mathematical considerations for modeling cerebral blood flow autoregulation to systemic arterial pressure

The American Journal of Physiology
E GaoQ Ma

Abstract

The shape of the autoregulation curve for cerebral blood flow (CBF) vs. pressure is depicted in a variety of ways to fit experimentally derived data. However, there is no general empirical description to reproduce CBF changes resulting from systemic arterial pressure variations that is consistent with the reported data. We analyzed previously reported experimental data used to construct autoregulation curves. To improve on existing portrayals of the fitting of the observed data, a compartmental model was developed for synthesis of the autoregulation curve. The resistive arterial and arteriolar network was simplified as an autoregulation device (ARD), which consists of four compartments in series controlling CBF. Each compartment consists of a group of identical vessels in parallel. The response of each vessel category to changes in perfusion pressure was simulated using reported experimental data. The CBF-pressure curve was calculated from the resistance of the ARD. The predicted autoregulation curve was consistent with reported experimental data. The lower and upper limits of autoregulation (LLA and ULA) were predicted as 69 and 153 mmHg, respectively. The average value of the slope of the CBF-pressure curve below LLA and beyo...Continue Reading

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Citations

Sep 29, 2000·American Journal of Physiology. Heart and Circulatory Physiology·C M QuickT Hashimoto
Feb 7, 2003·Journal of Applied Physiology·Johannes J Van LieshoutNiels H Secher
Aug 29, 2009·The Neuroradiology Journal·G ParrillaA Moreno
Nov 28, 2018·Microcirculation : the Official Journal of the Microcirculatory Society, Inc·Linda A AllenJulian H Lombard
Jul 9, 2013·Archives of Orthopaedic and Trauma Surgery·Stephan VogtHermann Anetzberger
Aug 30, 2003·American Journal of Physiology. Heart and Circulatory Physiology·K LuA Bidani
Aug 30, 2008·American Journal of Physiology. Heart and Circulatory Physiology·Brian E CarlsonTimothy W Secomb
Nov 8, 2008·PLoS Computational Biology·Murad BanajiChris E Cooper
Aug 15, 2020·Frontiers in Bioengineering and Biotechnology·Changwei ZhangHarvey Ho
Jul 4, 2009·Journal of Applied Physiology·Rogier V ImminkJohannes J Van Lieshout

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