Mitochondria play key roles in central metabolism, not only by synthesizing ATP via oxidative phosphorylation, but also by synthesizing key intermediates that serve as anaplerotic entry points in numerous pathways. Because reactions producing and/or consuming several of the intermediates in the tricarboxylic acid cycle that are transported across the mitochondrial inner membrane (pyruvate, α-ketoglutarate, citrate) are regulated in part by calcium concentration, we hypothesize the calcium is a key regulator of entry and exit of substrates into and out of the TCA cycle. We set out to first refine this hypothesis through following time courses of consumption of various carbohydrate based substrates (including complex I substrates such as pyruvate and citrate, and the complex II substrate succinate) and matching data on rates of oxidation and NADH production to simulations of mitochondrial metabolic kinetics. Specifically, model simulations were fit to data on total NAD(P)H and oxygen consumption flux at different respiratory states and with varying inorganic phosphate concentrations. The resulting identified model is used to predict how calcium regulates carbon substrate utilization by mitochondria. These hypotheses are tested using in vitro experiments with purified mitochondria. By comparing the experimental data with citrate alone to combination of pyruvate, citrate and malate as the substrates, we conclude that transport of citrate into the matrix is limited in the absence of malate. The rate of reduction of NAD is slower with pyruvate alone as substrate compared to when malate is present. The role of glutamate dehydrogenase in the context of cardiac energetics is investigated.