POSTERIORI ERROR ANALYSIS FOR THE USE OF LOOKUP TABLES IN CARDIAC ELECTROPHYSIOLOGY SIMULATIONS

Abstract

Simulating the human heart is a challenging computational problem, with simulations being very time-consuming, to the extent that some can take days to compute even on high performance computing resources. There is considerable interest in computational optimization techniques, with a view to making whole-heart simulations tractable. A common example is the use of lookup tables to approximate computationally intensive expressions in cardiac electrophysiology cell models, which are given mathematically as systems of ordinary differential equations. The approximation error introduced through the use of lookup tables may not be checke