Modeling the Purkinje conduction system with a non deterministic rule based iterative method

A method to construct a Purkinje system automatically for a particular subject is presented. The system is grown using a rule-based algorithm controlled by stochastic and probabilistic decisions that determine the particular structure of the model. A set of user customizable parameters control the final structure, and allow obtaining realistic Purkinje structures. The construction of the whole structure takes less than 30 s in a 2.4 GHz PC. The Purkinje system is built on a ventricular surface mesh previously obtained by segmentation. Geometrically, the system is modeled as a set of lines organized in a tree-like structure, so it can be included in a cardiac electrophysiological solver as a set of cables using a 1D type resolution method. The Purkinje systems obtained closely resemble real photographs and histological diagrams as for example Tawara and Myorburg ones.