Multi-physical scale modeling for simulating the electrophysiological dynamics of the heart is rapidly evolving and has made significant progress in the last decade.In this paper

we briefly review the current development of cardiac modeling field with a particular focus on the modeling of short QT(SQT)syndrome arising from gene mutations in cardiac potassium channels.Firstly

we introduce Denis Noble's definition on multi-physical scale modeling of cardiac systems at sub-cellular

cellular

tissue and whole organ levels.Secondly

we describe quantities that have been used to characterize the functional impacts of SQT gene mutations on the electrical activity of cardiac systems at cellular

tissue and whole organ levels.Then we review up-to-date research results on quantifying the functional impacts of three SQT gene mutations associated with potassium channels on the genesis of cardiac arrhythmia that underlie cardiac sudden death.Finally we outline possible research and application prospects of the electrophysiological modeling and simulation of SQT syndrome in the future.