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A Practical Computational Hemolysis Model Incorporating Biophysical Properties of the Red Blood Cell Membrane

Nico Dirkes, Marek Behr

TL;DR

This work addresses the challenge of accurately predicting flow-induced hemolysis in CFD-driven device design by introducing an efficient Eulerian framework that couples viscoelastic red blood cell membrane deformation with a biophysical pore-formation model for hemoglobin release. The authors compare three RBC deformation models (Bludszuweit, Kelvin-Voigt, TTLM) and two hemoglobin-release models (power-law and pore formation), and validate combinations on two FDA benchmarks (blood pump and nozzle). The key finding is that a strain-based Kelvin-Voigt RBC model paired with a pore-formation release accurately predicts hemolysis within experimental uncertainty across benchmarks, while stress-based power-law models overpredict by orders of magnitude. This approach yields a practical, easily integrateable tool for CFD workflows and offers a clear path toward extensions such as two-way coupling and uncertainty quantification to further bolster device design reliability.

Abstract

Purpose: Hemolysis is a key issue in the design of blood-handling medical devices. Computational prediction of this phenomenon is challenging due to the complex multiscale nature of blood. As a result, conventional approaches often fail to predict hemolysis accurately, commonly showing deviations of multiple orders of magnitude compared to experimental data. More accurate models are typically computationally expensive and thus impractical for real-world applications. This work aims to fill this gap by presenting accurate yet simple and efficient computational hemolysis models. Methods: Hemolysis modeling relies on two key components: a red blood cell model and a hemoglobin release model. In this work, we compare three red blood cell models: a common stress-based model (Bludszuweit), a simple strain-based model based on the Kelvin-Voigt constitutive law, and a more complex tensor-based model (TTM). Further, we compare two hemoglobin release models: the widely used power-law approach and a biophysical pore formation model. Results: We evaluate these models in two benchmark cases: the FDA blood pump and the FDA nozzle. In both benchmarks, the simple strain-based model combined with the pore formation model achieves absolute predictions of hemolysis within the standard deviation of experimental measurements. In contrast, stress-based power law models deviate by several orders of magnitude. Conclusion: The strain-based pore modeling approach takes into account the biophysical properties of red blood cell membranes, in particular their viscoelastic deformation behavior and hemoglobin release through membrane pores. This leads to significantly improved hemolysis predictions in a framework that can easily be integrated into common CFD workflows.

A Practical Computational Hemolysis Model Incorporating Biophysical Properties of the Red Blood Cell Membrane

TL;DR

This work addresses the challenge of accurately predicting flow-induced hemolysis in CFD-driven device design by introducing an efficient Eulerian framework that couples viscoelastic red blood cell membrane deformation with a biophysical pore-formation model for hemoglobin release. The authors compare three RBC deformation models (Bludszuweit, Kelvin-Voigt, TTLM) and two hemoglobin-release models (power-law and pore formation), and validate combinations on two FDA benchmarks (blood pump and nozzle). The key finding is that a strain-based Kelvin-Voigt RBC model paired with a pore-formation release accurately predicts hemolysis within experimental uncertainty across benchmarks, while stress-based power-law models overpredict by orders of magnitude. This approach yields a practical, easily integrateable tool for CFD workflows and offers a clear path toward extensions such as two-way coupling and uncertainty quantification to further bolster device design reliability.

Abstract

Purpose: Hemolysis is a key issue in the design of blood-handling medical devices. Computational prediction of this phenomenon is challenging due to the complex multiscale nature of blood. As a result, conventional approaches often fail to predict hemolysis accurately, commonly showing deviations of multiple orders of magnitude compared to experimental data. More accurate models are typically computationally expensive and thus impractical for real-world applications. This work aims to fill this gap by presenting accurate yet simple and efficient computational hemolysis models. Methods: Hemolysis modeling relies on two key components: a red blood cell model and a hemoglobin release model. In this work, we compare three red blood cell models: a common stress-based model (Bludszuweit), a simple strain-based model based on the Kelvin-Voigt constitutive law, and a more complex tensor-based model (TTM). Further, we compare two hemoglobin release models: the widely used power-law approach and a biophysical pore formation model. Results: We evaluate these models in two benchmark cases: the FDA blood pump and the FDA nozzle. In both benchmarks, the simple strain-based model combined with the pore formation model achieves absolute predictions of hemolysis within the standard deviation of experimental measurements. In contrast, stress-based power law models deviate by several orders of magnitude. Conclusion: The strain-based pore modeling approach takes into account the biophysical properties of red blood cell membranes, in particular their viscoelastic deformation behavior and hemoglobin release through membrane pores. This leads to significantly improved hemolysis predictions in a framework that can easily be integrated into common CFD workflows.
Paper Structure (11 sections, 50 equations, 8 figures, 3 tables)

This paper contains 11 sections, 50 equations, 8 figures, 3 tables.

Figures (8)

  • Figure 1: Hemolysis model components.
  • Figure 2: Illustration of the differences between the three types of models employed in this work.
  • Figure 3: model results for the blood pump at operating condition 4, evaluated on a plane intersecting the impeller at $z = 0.7cm$.
  • Figure 4: predictions for the pump using different models and different models for the hemoglobin release compared to experimental data from malinauskasFDABenchmarkMedical.
  • Figure 5: Flow field validation for the FDA nozzle in contraction orientation at $Re = 6500$ using data from hariharanMultilaboratoryParticleImage2011a.
  • ...and 3 more figures