A population model of integrative cardiovascular physiology.

We present a small integrative model of human cardiovascular physiology. The model is population-based; rather than using best fit parameter values, we used a variant of the Metropolis algorithm to produce distributions for the parameters most associated with model sensitivity. The population is bui...

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Main Authors: William A Pruett, Leland D Husband, Graham Husband, Muhammad Dakhlalla, Kyle Bellamy, Thomas G Coleman, Robert L Hester
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2013-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC3772858?pdf=render
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author William A Pruett
Leland D Husband
Graham Husband
Muhammad Dakhlalla
Kyle Bellamy
Thomas G Coleman
Robert L Hester
author_facet William A Pruett
Leland D Husband
Graham Husband
Muhammad Dakhlalla
Kyle Bellamy
Thomas G Coleman
Robert L Hester
author_sort William A Pruett
collection DOAJ
description We present a small integrative model of human cardiovascular physiology. The model is population-based; rather than using best fit parameter values, we used a variant of the Metropolis algorithm to produce distributions for the parameters most associated with model sensitivity. The population is built by sampling from these distributions to create the model coefficients. The resulting models were then subjected to a hemorrhage. The population was separated into those that lost less than 15 mmHg arterial pressure (compensators), and those that lost more (decompensators). The populations were parametrically analyzed to determine baseline conditions correlating with compensation and decompensation. Analysis included single variable correlation, graphical time series analysis, and support vector machine (SVM) classification. Most variables were seen to correlate with propensity for circulatory collapse, but not sufficiently to effect reasonable classification by any single variable. Time series analysis indicated a single significant measure, the stressed blood volume, as predicting collapse in situ, but measurement of this quantity is clinically impossible. SVM uncovered a collection of variables and parameters that, when taken together, provided useful rubrics for classification. Due to the probabilistic origins of the method, multiple classifications were attempted, resulting in an average of 3.5 variables necessary to construct classification. The most common variables used were systemic compliance, baseline baroreceptor signal strength and total peripheral resistance, providing predictive ability exceeding 90%. The methods presented are suitable for use in any deterministic mathematical model.
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spelling doaj.art-c1232f2b54a04f838b19f7db0da0dcad2022-12-22T01:52:07ZengPublic Library of Science (PLoS)PLoS ONE1932-62032013-01-0189e7432910.1371/journal.pone.0074329A population model of integrative cardiovascular physiology.William A PruettLeland D HusbandGraham HusbandMuhammad DakhlallaKyle BellamyThomas G ColemanRobert L HesterWe present a small integrative model of human cardiovascular physiology. The model is population-based; rather than using best fit parameter values, we used a variant of the Metropolis algorithm to produce distributions for the parameters most associated with model sensitivity. The population is built by sampling from these distributions to create the model coefficients. The resulting models were then subjected to a hemorrhage. The population was separated into those that lost less than 15 mmHg arterial pressure (compensators), and those that lost more (decompensators). The populations were parametrically analyzed to determine baseline conditions correlating with compensation and decompensation. Analysis included single variable correlation, graphical time series analysis, and support vector machine (SVM) classification. Most variables were seen to correlate with propensity for circulatory collapse, but not sufficiently to effect reasonable classification by any single variable. Time series analysis indicated a single significant measure, the stressed blood volume, as predicting collapse in situ, but measurement of this quantity is clinically impossible. SVM uncovered a collection of variables and parameters that, when taken together, provided useful rubrics for classification. Due to the probabilistic origins of the method, multiple classifications were attempted, resulting in an average of 3.5 variables necessary to construct classification. The most common variables used were systemic compliance, baseline baroreceptor signal strength and total peripheral resistance, providing predictive ability exceeding 90%. The methods presented are suitable for use in any deterministic mathematical model.http://europepmc.org/articles/PMC3772858?pdf=render
spellingShingle William A Pruett
Leland D Husband
Graham Husband
Muhammad Dakhlalla
Kyle Bellamy
Thomas G Coleman
Robert L Hester
A population model of integrative cardiovascular physiology.
PLoS ONE
title A population model of integrative cardiovascular physiology.
title_full A population model of integrative cardiovascular physiology.
title_fullStr A population model of integrative cardiovascular physiology.
title_full_unstemmed A population model of integrative cardiovascular physiology.
title_short A population model of integrative cardiovascular physiology.
title_sort population model of integrative cardiovascular physiology
url http://europepmc.org/articles/PMC3772858?pdf=render
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