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Updated: Jun 6, 2026

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
Published on: February 13, 2021
Linear parameter varying system based modeling of hemodynamic response to profiled hemodialysis
Faizan Javed1, Andrey V Savkin, Gregory S H Chan
1School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney, 2052, Australia. faizan@student.unsw.edu.au
This study developed a linear parameter varying (LPV) model to predict hemodynamic changes in end-stage renal failure patients undergoing profiled hemodialysis (PHD). The model accurately estimates relative blood volume and blood pressure variations during treatment.
Area of Science:
- Biomedical Engineering
- Physiological Modeling
- Renal Medicine
Background:
- End-stage renal failure (ESRD) patients undergoing hemodialysis experience significant hemodynamic fluctuations.
- Maintaining hemodynamic stability during dialysis is crucial for patient safety and treatment efficacy.
- Current methods for monitoring and managing hemodynamic responses during dialysis may lack precision for individual patient needs.
Purpose of the Study:
- To develop a novel linear parameter varying (LPV) system model.
- To accurately predict the hemodynamic response of end-stage renal failure patients during profiled hemodialysis (PHD).
- To provide a foundation for designing advanced control systems for hemodialysis.
Main Methods:
- A linear parameter varying (LPV) system was proposed to model hemodynamic responses.
- Ultrafiltration rate (UFR) and dialysate sodium concentration (Na) were used as control inputs.
- Model parameters were estimated using a least squares approach with data from 12 ESRD patients undergoing 4 PHD sessions each.
- Key hemodynamic variables including relative blood volume (RBV), percentage change in heart rate (ΔDHR(%)), and percentage change in systolic blood pressure (ΔDSBP(%)) were computed.
Main Results:
- The LPV model demonstrated good accuracy in estimating individual patient hemodynamic behavior.
- Parameter identification yielded an average mean square error of 0.11 for RBV, 0.24 for ΔDHR, and 0.43 for ΔDSBP across profiled sessions.
- The model effectively captured the dynamic changes in RBV, ΔDHR, and ΔDSBP during PHD.
Conclusions:
- The developed LPV model provides a reliable method for estimating patient-specific hemodynamic responses during PHD.
- This model can be instrumental in designing robust control systems for automated regulation of UFR and Na.
- The research facilitates maintaining hemodynamic stability within safe ranges for ESRD patients undergoing dialysis.
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