Characterization of Mg Inhibition of Mitochondrial Ca Uptake by a Mechanistic Model of Mitochondrial Ca Uniporter

Ca²⁺ is an important regulatory ion and alteration of mitochondrial Ca²⁺ homeostasis can lead to cellular dysfunction and apoptosis. Ca²⁺ is transported into respiring mitochondria via the Ca²⁺ uniporter, which is known to be inhibited by Mg²⁺. This uniporter-mediated mitochondrial Ca²⁺ transport is also shown to be influenced by inorganic phosphate (Pi). Despite a large number of experimental studies, the kinetic mechanisms associated with the Mg²⁺ inhibition and Pi regulation of the uniporter function are not well established. To gain a quantitative understanding of the effects of Mg²⁺ and Pi on the uniporter function, we developed here a mathematical model based on known kinetic properties of the uniporter and presumed Mg²⁺ inhibition and Pi regulation mechanisms. The model is extended from our previous model of the uniporter that is based on a multistate catalytic binding and interconversion mechanism and Eyring's free energy barrier theory for interconversion. The model satisfactorily describes a wide variety of experimental data sets on the kinetics of mitochondrial Ca²⁺ uptake. The model also appropriately depicts the inhibitory effect of Mg²⁺ on the uniporter function, in which Ca²⁺ uptake is hyperbolic in the absence of Mg²⁺ and sigmoid in the presence of Mg²⁺. The model suggests a mixed-type inhibition mechanism for Mg²⁺ inhibition of the uniporter function. This model is critical for building mechanistic models of mitochondrial bioenergetics and Ca²⁺ handling to understand the mechanisms by which Ca²⁺ mediates signaling pathways and modulates energy metabolism.