4.6 Article

Using a Human Circulation Mathematical Model to Simulate the Effects of Hemodialysis and Therapeutic Hypothermia

Journal

APPLIED SCIENCES-BASEL
Volume 12, Issue 1, Pages -

Publisher

MDPI
DOI: 10.3390/app12010307

Keywords

lumped parameter model; human circulation; dialysis; ordinary differential equations; sensitivity analysis

Funding

  1. Canada Canarie Inc. [RS3-111]
  2. Canadian Heart and Stroke Foundation [G-20-0028717]
  3. MDPI journal
  4. [R4081A03]

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This study developed a mathematical model of human circulation and dialysis, and explored the mechanisms of therapeutic hypothermia. It also suggested clinical measurables that may be used to diagnose underlying diseases.
Featured Application Human circulation and dialysis 0D model. Background: We developed a hemodynamic mathematical model of human circulation coupled to a virtual hemodialyzer. The model was used to explore mechanisms underlying our clinical observations involving hemodialysis. Methods: The model consists of whole body human circulation, baroreflex feedback control, and a hemodialyzer. Four model populations encompassing baseline, dialysed, therapeutic hypothermia treated, and simultaneous dialysed with hypothermia were generated. In all populations atrial fibrillation and renal failure as co-morbidities, and exercise as a treatment were simulated. Clinically relevant measurables were used to quantify the effects of each in silico experiment. Sensitivity analysis was used to uncover the most relevant parameters. Results: Relative to baseline, the modelled dialysis increased the population mean diastolic blood pressure by 5%, large vessel wall shear stress by 6%, and heart rate by 20%. Therapeutic hypothermia increased systolic blood pressure by 3%, reduced large vessel shear stress by 15%, and did not affect heart rate. Therapeutic hypothermia reduced wall shear stress by 15% in the aorta and 6% in the kidneys, suggesting a potential anti-inflammatory benefit. Therapeutic hypothermia reduced cardiac output under atrial fibrillation by 12% and under renal failure by 20%. Therapeutic hypothermia and exercise did not affect dialyser function, but increased water removal by approximately 40%. Conclusions: This study illuminates some mechanisms of the action of therapeutic hypothermia. It also suggests clinical measurables that may be used as surrogates to diagnose underlying diseases such as atrial fibrillation.

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