Multilevel homogenization applied to the cardiac bidomain equations

Area of Science:

• Computational biology
• Biophysics
• Cardiac electrophysiology

Background:

• Accurate cardiac tissue modeling, essential for understanding defibrillation, requires incorporating fine-scale structures (50-100 microns).
• Previous studies show these structures aid total heart depolarization via virtual electrodes during defibrillation shocks.

Purpose of the Study:

• To address the computational challenge of detailed cardiac tissue models by developing an upscaled modeling approach.
• To present a method for generating homogenized cardiac models that reduce computational cost while retaining fine-scale structural information.

Main Methods:

• Developing an upscaling (homogenization) technique for cardiac tissue models.
• Incorporating fine-scale structural data into a reduced-scale model.

Main Results:

• The upscaled models successfully incorporate fine-scale structural information.
• This approach allows for simulations at a more reasonable computational scale.

Conclusions:

• Upscaling cardiac models offers a computationally efficient way to study defibrillation.
• This method integrates crucial fine-scale structural details, improving the accuracy and feasibility of cardiac tissue modeling.