To improve dietary protein use efficiency in lactating cows, mammary protein synthesis responses to AA, energy substrates, and hormones must be better understood. These entities exert their effects through stimulation of mRNA translation via control of initiation and elongation rates at the cellular level. A central protein kinase of this phenomenon is the mammalian target of rapamycin (mTOR), which transfers the nutritional and hormonal stimuli onto a series of proteins downstream through a cascade of phosphorylation reactions that ultimately affect protein synthesis. The objective of this work was to further develop an existing mechanistic model of mTOR phosphorylation responses to insulin and total essential AA to include the effects of specific essential AA and acetate mediated by signaling proteins including protein kinase B (Akt), adenosine monophosphate activated protein kinase (AMPK), and mTOR and to add a representation of milk protein synthesis. Data from 6 experiments in MAC-T cells and mammary tissue slices previously conducted in our laboratory were assembled and used to parameterize the dynamic system of differential equations representing Akt, AMPK, and mTOR in their phosphorylated and dephosphorylated states and the resulting regulation of milk protein synthesis. The model predicted phosphorylated Akt, mTOR, AMPK, and casein synthesis rates with root mean square prediction errors of 16.8, 28.4, 33.0, and 54.9%, respectively. All other dependent variables were free of mean and slope bias, indicating an adequate representation of the data. Whereas mTOR was not very sensitive to changes in insulin or acetate levels, it was highly sensitive to leucine and isoleucine, and this signal appeared to be effectively transduced to casein synthesis. Although prior work had observed a relationship with additional essential AA, and data supporting those conclusions were present in the data set, we were unable to derive significant relationships with any essential AA other than leucine and isoleucine. The signaling properties and dynamics of AMPK under nutrient depletion and sufficiency, the responses to additional essential AA, and the consequent effects on protein synthesis remain to be better understood.
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