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Cardiovascular regulation in response to multiple hemorrhages: analysis and parameter estimation.

Publication ,  Journal Article
Ciocanel, M-V; Docken, SS; Gasper, RE; Dean, C; Carlson, BE; Olufsen, MS
Published in: Biological cybernetics
April 2019

Mathematical models can provide useful insights explaining behavior observed in experimental data; however, rigorous analysis is needed to select a subset of model parameters that can be informed by available data. Here we present a method to estimate an identifiable set of parameters based on baseline left ventricular pressure and volume time series data. From this identifiable subset, we then select, based on current understanding of cardiovascular control, parameters that vary in time in response to blood withdrawal, and estimate these parameters over a series of blood withdrawals. These time-varying parameters are first estimated using piecewise linear splines minimizing the mean squared error between measured and computed left ventricular pressure and volume data over four consecutive blood withdrawals. As a final step, the trends in these splines are fit with empirical functional expressions selected to describe cardiovascular regulation during blood withdrawal. Our analysis at baseline found parameters representing timing of cardiac contraction, systemic vascular resistance, and cardiac contractility to be identifiable. Of these parameters, vascular resistance and cardiac contractility were varied in time. Data used for this study were measured in a control Sprague-Dawley rat. To our knowledge, this is the first study to analyze the response to multiple blood withdrawals both experimentally and theoretically, as most previous studies focus on analyzing the response to one large blood withdrawal. Results show that during each blood withdrawal both systemic vascular resistance and contractility decrease acutely and partially recover, and they decrease chronically across the series of blood withdrawals.

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Published In

Biological cybernetics

DOI

EISSN

1432-0770

ISSN

0340-1200

Publication Date

April 2019

Volume

113

Issue

1-2

Start / End Page

105 / 120

Related Subject Headings

  • Ventricular Function, Left
  • Regional Blood Flow
  • Rats, Sprague-Dawley
  • Rats
  • Nonlinear Dynamics
  • Neurology & Neurosurgery
  • Models, Theoretical
  • Models, Cardiovascular
  • Male
  • Hemorrhage
 

Citation

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Ciocanel, M.-V., Docken, S. S., Gasper, R. E., Dean, C., Carlson, B. E., & Olufsen, M. S. (2019). Cardiovascular regulation in response to multiple hemorrhages: analysis and parameter estimation. Biological Cybernetics, 113(1–2), 105–120. https://doi.org/10.1007/s00422-018-0781-y
Ciocanel, Maria-Veronica, Steffen S. Docken, Rebecca E. Gasper, Caron Dean, Brian E. Carlson, and Mette S. Olufsen. “Cardiovascular regulation in response to multiple hemorrhages: analysis and parameter estimation.Biological Cybernetics 113, no. 1–2 (April 2019): 105–20. https://doi.org/10.1007/s00422-018-0781-y.
Ciocanel M-V, Docken SS, Gasper RE, Dean C, Carlson BE, Olufsen MS. Cardiovascular regulation in response to multiple hemorrhages: analysis and parameter estimation. Biological cybernetics. 2019 Apr;113(1–2):105–20.
Ciocanel, Maria-Veronica, et al. “Cardiovascular regulation in response to multiple hemorrhages: analysis and parameter estimation.Biological Cybernetics, vol. 113, no. 1–2, Apr. 2019, pp. 105–20. Epmc, doi:10.1007/s00422-018-0781-y.
Ciocanel M-V, Docken SS, Gasper RE, Dean C, Carlson BE, Olufsen MS. Cardiovascular regulation in response to multiple hemorrhages: analysis and parameter estimation. Biological cybernetics. 2019 Apr;113(1–2):105–120.
Journal cover image

Published In

Biological cybernetics

DOI

EISSN

1432-0770

ISSN

0340-1200

Publication Date

April 2019

Volume

113

Issue

1-2

Start / End Page

105 / 120

Related Subject Headings

  • Ventricular Function, Left
  • Regional Blood Flow
  • Rats, Sprague-Dawley
  • Rats
  • Nonlinear Dynamics
  • Neurology & Neurosurgery
  • Models, Theoretical
  • Models, Cardiovascular
  • Male
  • Hemorrhage