A Discrete Model to Study Reaction-Diffusion-Mechanics Systems
Author Information
Author(s): Weise Louis D., Nash Martyn P., Panfilov Alexander V.
Hypothesis
How does deformation affect reaction-diffusion processes in excitable media?
Conclusion
The discrete reaction-diffusion-mechanics model successfully reproduces important phenomena of pacemaking activity and identifies mechanisms determining pacemaker dynamics.
Supporting Evidence
- The dRDM model reproduces previously reported results on pacemaking activity.
- Mechanisms determining the period of pacemakers and their dependency on medium size were identified.
- The model allows for higher numerical resolution compared to previous continuous models.
Takeaway
This study created a new model to understand how stretching affects the way waves move in materials, like heart tissue, helping us learn more about heart rhythms.
Methodology
The study used a discrete reaction-diffusion-mechanics model that couples a FitzHugh-Nagumo type RD model with a mass-lattice model to analyze wave propagation in deformable media.
Limitations
The model may not easily connect to known continuous material properties and is based on isotropic assumptions.
Digital Object Identifier (DOI)
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