A simulation study on the constancy of cardiac energy metabolites during workload transition

Abstract

Key points

• The cardiac energy metabolites such as ATP, phosphocreatine, ADP and NADH are kept relatively constant during physiological cardiac workload transition.

• How this is accomplished is not yet clarified, though Ca ²⁺ has been suggested to be one of the possible mechanisms.

• We constructed a detailed mathematical model of cardiac mitochondria based on experimental data and studied whether known Ca ²⁺‐dependent regulation mechanisms play roles in the metabolite constancy.

• Model simulations revealed that the Ca ²⁺‐dependent regulation mechanisms have important roles under the in vitro condition of isolated mitochondria where malate and glutamate were mitochondrial substrates, while they have only a minor role and the composition of substrates has marked influence on the metabolite constancy during workload transition under the simulated in vivo condition where many substrates exist.

• These results help us understand the regulation mechanisms of cardiac energy metabolism during physiological cardiac workload transition.

Abstract

The cardiac energy metabolites such as ATP, phosphocreatine, ADP and NADH are kept relatively constant over a wide range of cardiac workload, though the mechanisms are not yet clarified. One possible regulator of mitochondrial metabolism is Ca ²⁺, because it activates several mitochondrial enzymes and transporters. Here we constructed a mathematical model of cardiac mitochondria, including oxidative phosphorylation, substrate metabolism and ion/substrate transporters, based on experimental data, and studied whether the Ca ²⁺‐dependent activation mechanisms play roles in metabolite constancy. Under the in vitro condition of isolated mitochondria, where malate and glutamate were used as mitochondrial substrates, the model well reproduced the Ca ²⁺ and inorganic phosphate (P _i) dependences of oxygen consumption, NADH level and mitochondrial membrane potential. The Ca ²⁺‐dependent activations of the aspartate/glutamate carrier and the F ₁F _o‐ATPase, and the P _i‐dependent activation of Complex III were key factors in reproducing the experimental data. When the mitochondrial model was implemented in a simple cardiac cell model, simulation of workload transition revealed that cytoplasmic Ca ²⁺ concentration ([Ca ²⁺] _cyt) within the physiological range markedly increased NADH level. However, the addition of pyruvate or citrate attenuated the Ca ²⁺ dependence of NADH during the workload transition. Under the simulated in vivo condition where malate, glutamate, pyruvate, citrate and 2‐oxoglutarate were used as mitochondrial substrates, the energy metabolites were more stable during the workload transition and NADH level was almost insensitive to [Ca ²⁺] _cyt. It was revealed that mitochondrial substrates have a significant influence on metabolite constancy during cardiac workload transition, and Ca ²⁺ has only a minor role under physiological conditions.

Key points

• The cardiac energy metabolites such as ATP, phosphocreatine, ADP and NADH are kept relatively constant during physiological cardiac workload transition.

• How this is accomplished is not yet clarified, though Ca ²⁺ has been suggested to be one of the possible mechanisms.

• We constructed a detailed mathematical model of cardiac mitochondria based on experimental data and studied whether known Ca ²⁺‐dependent regulation mechanisms play roles in the metabolite constancy.

• Model simulations revealed that the Ca ²⁺‐dependent regulation mechanisms have important roles under the in vitro condition of isolated mitochondria where malate and glutamate were mitochondrial substrates, while they have only a minor role and the composition of substrates has marked influence on the metabolite constancy during workload transition under the simulated in vivo condition where many substrates exist.

• These results help us understand the regulation mechanisms of cardiac energy metabolism during physiological cardiac workload transition.