Robust approach for rotor mapping in cardiac tissue.

Area of Science:

• Complex Systems Dynamics
• Computational Electrophysiology
• Nonlinear Dynamics and Chaos

Background:

• Phase singularities at spiral wave centers are crucial for understanding complex dynamics in excitable systems.
• Accurate reconstruction of these singularities is vital for applications like cardiac arrhythmia analysis, despite data noise and sparsity.

Purpose of the Study:

• To evaluate a recently proposed global topological approach for reconstructing phase singularity positions.
• To compare the performance of the global topological approach against traditional local methods, particularly with noisy and sparse data.

Main Methods:

• Implementation and testing of a global topological reconstruction method.
• Analysis of the method's performance using simulated data with varying noise levels and spatial sampling densities.
• Comparison with conventional local reconstruction techniques.

Main Results:

• The global topological approach demonstrates high accuracy even when noise levels exceed signal range.
• The method successfully reconstructs singularity positions from sparsely sampled data, comparable to singularity separation.
• Significant improvement in reconstruction quality compared to traditional local approaches was observed.

Conclusions:

• The global topological method offers a robust and accurate solution for phase singularity reconstruction in complex excitable systems.
• This approach holds significant promise for advancing the study of phenomena like cardiac arrhythmias using real-world electrophysiological data.