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A numerical solution of the mechanical bidomain model.
Samip Gandhi1, Bradley J Roth1
1a Department of Physics , Oakland University , Rochester , MI , USA.
Computer Methods in Biomechanics and Biomedical Engineering
|November 27, 2015
Summary
A new numerical algorithm models cardiac tissue mechanics, predicting high membrane forces at ischemic borders. This study offers testable predictions for mechanotransduction and tissue remodeling.
Area of Science:
- Biomedical Engineering
- Computational Biology
- Cardiac Electrophysiology
Background:
- The mechanical bidomain model is crucial for predicting forces on cell membrane integrin proteins.
- Analytical solutions exist for simplified scenarios, but a numerical approach is necessary for complex, real-world problems.
Purpose of the Study:
- To develop and apply a numerical algorithm for the mechanical bidomain model.
- To investigate the distribution of forces and strain in cardiac tissue with an ischemic region.
Main Methods:
- Finite difference approximation of the bidomain equations.
- Modeling an ischemic region as a circular area with no active tension, surrounded by normal tissue.
Main Results:
- Significantly large membrane forces were observed at the ischemic border zone.
- Strain was found to be widely distributed across the ischemic region and adjacent healthy tissue.
Conclusions:
- The developed computational model provides a testable prediction for mechanotransduction mechanisms.
- This approach aids in understanding tissue remodeling processes in the heart.
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