In this review, the current state of mathematical modeling of human metabolism was outlined together with the regulation of body weight and body composition. The following topics were discussed: energy balance models of body-weight change; mass-energy conversion factor and its relationship to body composition change; modelling steady-state changes of body weight; weight-loss kinetic modeling; metabolic fuel selection modelling beyond energy-balance models; fuel selection physiological mechanisms modelling; and, applications to wasting conditions such as cancer cachexia and future directions.