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Peer-reviewedCC BY 4.0PLOS One

Calibration of a fully closed-loop lumped-parameter cardiovascular model with baroreflex in response to induced central hypovolemia

  • Karolina Tlałka1
  • Harry Saxton2
  • Ian Halliday3
  • Xu Xu4
  • Andrew Narracott5
  • Daniel James Taylor6
  • Lars Øivind Høiseth7
  • Jonny Hisdal8
  • David Rodney Hose9
  • Maciej Malawski10
10 affiliations
  1. 1Division of Clinical Medicine, School of Medicine and Population Health, University of Sheffield, Sheffield, United Kingdom
  2. 2Sano Centre for Computational Medicine, Kraków, Poland
  3. 3Astellas Pharma Europe Ltd, Addlestone, England
  4. 4Insigneo Institute for Healthcare Technology, Sheffield, United Kingdom
  5. 5School of Computer Science, University of Sheffield, Sheffield, United Kingdom
  6. 6NIHR Sheffield Biomedical Research Centre, Sheffield Teaching Hospitals NHS Foundation Trust, Sheffield, United Kingdom
  7. 7Department of Anesthesia and Intensive Care Medicine, Division of Emergencies and Critical Care, Oslo University Hospital, Oslo, Norway
  8. 8Department of Vascular Surgery, Division of Cardiovascular and Pulmonary Diseases, Oslo University Hospital, Oslo, Norway
  9. 9Institute of Clinical Medicine, Faculty of Medicine, University of Oslo, Oslo, Norway
  10. 10Faculty of Computer Science, AGH University of Kraków, Kraków, Poland
Open at sourceDOICite

Abstract

Calibration of cardiovascular models is essential to their clinical utility. We provide a full description of the calibration of a non-linear, dynamic model using global optimisation methods. Specifically, we consider an experimental cohort response in a closed-loop, baro-regulated cardiovascular model, in the setting of induced central hypovolemia.We propose a framework for simplifying calibration of dynamic, regulated models. We perform global sensitivity analysis and orthogonality analysis of a 58-parameter non-linear cardiovascular model including the baroreflex, to select an optimal subset of parameters for model calibration. We fit the model to relative Lower Body Negative Pressure data, using global optimisation (Differential Evolution method), searching a reduced input parameter space. Global sensitivity analysis and orthogonality analysis revealed multiple higher-order interactions within the model, as well as areas of similar influence of input parameters, on the components of the objective function. The model was fitted using only baroreflex parameters. Relative errors in the estimation of heart rate, mean arterial pressure, and stroke volume were reduced from −15.03%, 1.60% and 42.06% before calibration to 0.42%, −1.37% and 0.61% after the fitting, respectively.

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Cite

BibTeXRIS
BibTeX
@article{tlalka2026calibration,
  title = {{Calibration of a fully closed-loop lumped-parameter cardiovascular model with baroreflex in response to induced central hypovolemia}},
  author = {Karolina Tlałka and Harry Saxton and Ian Halliday and Xu Xu and Andrew Narracott and Daniel James Taylor and Lars Øivind Høiseth and Jonny Hisdal and David Rodney Hose and Maciej Malawski},
  journal = {PLOS One},
  year = {2026},
  month = nov,
  doi = {10.1371/journal.pone.0362073},
  url = {https://doi.org/10.1371/journal.pone.0362073},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Calibration of a fully closed-loop lumped-parameter cardiovascular model with baroreflex in response to induced central hypovolemia
AU  - Karolina Tlałka
AU  - Harry Saxton
AU  - Ian Halliday
AU  - Xu Xu
AU  - Andrew Narracott
AU  - Daniel James Taylor
AU  - Lars Øivind Høiseth
AU  - Jonny Hisdal
AU  - David Rodney Hose
AU  - Maciej Malawski
PY  - 2026
DA  - 2026/11/06
JO  - PLOS One
DO  - 10.1371/journal.pone.0362073
UR  - https://doi.org/10.1371/journal.pone.0362073
AB  - Calibration of cardiovascular models is essential to their clinical utility. We provide a full description of the calibration of a non-linear, dynamic model using global optimisation methods. Specifically, we consider an experimental cohort response in a closed-loop, baro-regulated cardiovascular model, in the setting of induced central hypovolemia.We propose a framework for simplifying calibration of dynamic, regulated models. We perform global sensitivity analysis and orthogonality analysis of a 58-parameter non-linear cardiovascular model including the baroreflex, to select an optimal subset of parameters for model calibration. We fit the model to relative Lower Body Negative Pressure data, using global optimisation (Differential Evolution method), searching a reduced input parameter space. Global sensitivity analysis and orthogonality analysis revealed multiple higher-order interactions within the model, as well as areas of similar influence of input parameters, on the components of the objective function. The model was fitted using only baroreflex parameters. Relative errors in the estimation of heart rate, mean arterial pressure, and stroke volume were reduced from −15.03%, 1.60% and 42.06% before calibration to 0.42%, −1.37% and 0.61% after the fitting, respectively.
SN  - 1932-6203
ER  -