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Body weight fluctuation in an unrestricted free-living adult was investigated by taking daily measurements for a decade. It was found from the time series analyses that the Ornstein–Uhlenbeck process defined as the solution of the Langevin equation, is the most dominant factor affecting the body weight fluctuation. This process was shown to reasonably describe the expected weight change in nominally healthy adults in general. Our calculation reasonably expresses the relationships among specific energy, average total daily energy expenditure and the standard deviation of the energy intake and its expenditure, demonstrating the validity of the proposed stochastic model.

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This page is a summary of: Ornstein–Uhlenbeck process in a human body weight fluctuation, Physica A Statistical Mechanics and its Applications, November 2021, Elsevier, DOI: 10.1016/j.physa.2021.126286.
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