Viscoelastic behavior of erythrocyte membrane

Area of Science:

• Biophysics
• Biomaterials Science
• Rheology

Background:

• Erythrocyte membranes exhibit complex viscoelastic properties crucial for cell function.
• Understanding these properties is essential for diagnosing and treating various blood disorders.

Purpose of the Study:

• To develop a nonlinear viscoelastic constitutive equation for erythrocyte membranes.
• To analyze the time-dependent aspiration of erythrocyte membranes into a micropipette.
• To determine the membrane's relaxation function from experimental data.

Main Methods:

• A nonlinear viscoelastic relation was developed.
• Governing equations were reduced to a nonlinear Volterra integral equation.
• A finite difference scheme was employed for numerical solutions.
• The model was validated against experimental data (Chien et al., 1978).

Main Results:

• The developed constitutive equation accurately describes erythrocyte membrane viscoelasticity.
• The time-dependent aspiration process was successfully modeled.
• Experimental data allowed for the determination of the relaxation function.
• A relaxation function resembling a four-parameter solid with shear-thinning was proposed.

Conclusions:

• The nonlinear viscoelastic model provides a robust framework for analyzing erythrocyte membrane mechanics.
• The study successfully links theoretical modeling with experimental validation.
• The proposed relaxation function offers insights into the complex rheological behavior of red blood cells.