A perturbation solution of the mechanical bidomain model

Area of Science:

• Biophysics
• Computational Biology
• Cardiovascular Mechanics

Background:

• The mechanical bidomain model describes the electromechanical behavior of cardiac tissue, considering intracellular and extracellular spaces.
• Understanding the mechanical interplay between these spaces is crucial for modeling cardiac function and dysfunction.

Purpose of the Study:

• To derive analytical solutions for the mechanical bidomain model using perturbation expansion.
• To investigate the mechanical coupling and pressure differences between intracellular and extracellular spaces in cardiac tissue.

Main Methods:

• Employing a perturbation expansion method to solve the mechanical bidomain equations.
• Defining the perturbation parameter based on the inverse of the spring constant coupling intracellular and extracellular spaces.

Main Results:

• Analytical solutions demonstrate that intracellular and extracellular pressures are unequal.
• The findings indicate that the intracellular and extracellular spaces can exhibit relative motion.
• The model provides insights into the mechanical behavior of cardiac tissue, particularly around ischemic areas.

Conclusions:

• The mechanical bidomain model, when solved analytically, reveals significant mechanical distinctions between intracellular and extracellular compartments.
• These findings have implications for understanding active cardiac tissue mechanics, especially in pathological conditions like ischemia.