INTRODUCTIONThe major role of ventricular myocardium is to contract regularly in response to electrical excitation in order to pump oxygenated blood out of ventricle. Two key elements are directly involved in the normal cycle of contractile activity in ventricular myocytes. One is intracellular Ca 2+ -cycling and the other is ATP synthesis by mitochondria. Upon release from sarcoplasmic reticulum (SR), Ca 2+ binds to troponin C to move the tropomyosin away exposing the myosin-binding site of actin filament. If ATP and Ca 2+ are high enough near the contractile apparatus, the cross bridge cycle continues and muscle would contract. In the end of contraction, majority of Ca 2+ is pumped back into the Ca 2+ store by SR Ca 2+ pump then muscle relaxes.Therefore, disruption of either Ca
2+-cycling or ATP synthesis can disturb normal cycle of ventricular contraction. ATP synthesis by mitochondria can directly or indirectly affect the Ca 2+ -cycling by regulating the ATP-driven SR Ca 2+ pump [1,2] and sarcolemmal Na + /K + pump [1].Metabolic inhibitors are supposed to suppress the normal cycle of contraction via this mechanism. There has been evidence that Ca
2+-cycling affects the ATP synthesis in mitochondria. Increased mitochondrial Ca 2+ influx across the inner mitochondrial membrane has been known to stimulate F0F1-ATPase activity [3,4]. Increase in mitochondrial [Ca 2+ ] ([Ca 2+ ]m) has also been known to stimulate tricarboxylic acid (TCA) cycle dehydrogenases [5,6]. The resultant increase in NADH could affect the ATP synthesis of mitochondria. This is supposed to be the control mechanism that matches energy demand for bigger contraction induced by higher cytosolic (or intracellular) [Ca 2+ ] ( [Ca 2+ ]i) [7]. There is a controversial issue on the possibility that [Ca 2+ ]m changes in a beat-to-beat manner. Beat-to-beat mitochondrial Ca 2+ transients have been identified on adult
218JB Youm, et al rabbit cardiac myocytes [8] and on rat cardiac myocytes [9]. In contrast, beat-to-beat change in [Ca 2+ ]m was not identified on cat ventricular myocytes [10]. Further complicating thing is that the ATP depletion can affect action potential (AP) waveform by stimulating ATP sensitive K + channel.Reduced action potential duration (APD) by activation of ATP sensitive K + channel can reduce the energy demand during contraction. All above observations demonstrate how complex the interaction among Ca
2+-cycling, ATP production, and electrical excitation could be. If all those elements are properly modeled, an integrated mathematical model could be developed and utilized to investigate those complex interactions.Recently, cardiac models integrating electrophysiology, Ca 2+ cycling, and energy metabolism have emerged based on experimental results from guinea pig ventricular myocytes [11,12]. Although they were able to couple mitochondrial energetics to excitation-contraction coupling, the description of mitochondrial ion transport is limited and the modeling of pHm and pHi is lacking which is a key elem...