Kozusko F P
Department of Mathematics, Hampton University, Hampton, Virginia 23668, USA.
Bull Math Biol. 2001 Mar;63(2):393-403. doi: 10.1006/bulm.2001.0229.
A biological setpoint for fatness has been proposed in the medical literature. This body weight setpoint functions as a point of stable equilibrium. In an underfed state, with resulting weight loss, the body will reduce the relative energy expenditure by metabolic adaption which reduces the rate of weight loss. Previous mathematical models of energy expenditure and weight loss dynamics have not addressed this setpoint mechanism. The setpoint model has been proposed to quantify this biological process and is unique in predicting energy expenditure during weight loss as a function of the setpoint fat-free mass ratio and setpoint energy expenditure, eliminating the various controlling characteristics such as age, gender and heredity. The model is applied to the seminal Minnesota human semistarvation experiment and is used to predict weight vs time on an individual basis and the caloric requirements for weight maintenance at the reduced weight. Comparison is made with the Harris-Benedict equations and the Brody-Kleiber (W3/4) law.
医学文献中曾提出过脂肪含量的生物设定点。这个体重设定点起到稳定平衡点的作用。在营养不足的状态下，体重会下降，身体会通过代谢适应降低相对能量消耗，从而降低体重减轻的速度。以往关于能量消耗和体重减轻动态变化的数学模型并未涉及这种设定点机制。设定点模型已被提出用于量化这一生物过程，其独特之处在于能根据设定点的去脂体重比和设定点能量消耗来预测体重减轻期间的能量消耗，消除了年龄、性别和遗传等各种控制因素。该模型应用于具有开创性的明尼苏达人体半饥饿实验，并用于预测个体的体重随时间变化情况以及维持减轻后体重所需的热量。同时与哈里斯-本尼迪克特方程和布罗迪-克莱伯（W3/4）定律进行了比较。
