Bending Energy Schemes for Discrete‐Spring‐Network Structural Modelling of Red Blood Cells
Osayomwanbor Ehi‐Egharevba, Mingzhu Chen, Fergal J. Boyle
TL;DR
This paper compares three methods for modeling red blood cell deformation and finds one method is more accurate for predicting complex cell shapes.
Contribution
The study introduces and validates a new bending energy scheme (BES C) for improved accuracy in red blood cell structural modeling.
Findings
BES C accurately predicts complex RBC shapes like stomatocytes and echinocytes.
BES A and BES B underestimate bending deformation in soft membranes.
BES C captures necking behavior critical for accurate shape prediction.
Abstract
Red blood cells (RBCs) undergo large structural deformation, including bending, when passing through capillaries. They also exhibit a range of complex shapes such as stomatocytes, discocytes and echinocytes that form due to altered blood pH and salt levels, ingested drugs and adenosine triphosphate depletion. Discrete‐spring‐network structural models of RBCs employ different numerical treatments of the continuum bending energy. This affects bending accuracy and the prediction of accurate RBC shapes. This research compares three representations called bending energy scheme (BES) A, B and C to evaluate their accuracy in shape predictions. BES A, seen throughout the literature, is based on the formulations of Kantor and Nelson, while BES B and BES C are, respectively, spring‐based and node‐based curvature calculation methods based on the formulations of Jülicher. Flat and enclosed…
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Taxonomy
TopicsBlood properties and coagulation · Erythrocyte Function and Pathophysiology · Lipid Membrane Structure and Behavior