Article

Journal of Mathematical Biology

, Volume 54, Issue 1, pp 27-43

First online:

Dynamics of starvation in humans

  • Baojun SongAffiliated withDepartment of Mathematical Sciences, Montclair State University Email author 
  • , Diana M. ThomasAffiliated withDepartment of Mathematical Sciences, Montclair State University

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Abstract

A differential equation model describing the dynamics of stored energy in the form of fat mass, lean body mass and ketone body mass during prolonged starvation is developed. The parameters of the model are estimated using available data for 7 days into starvation. A simulation of energy stores for a normal individual with body mass index between 19 and 24 and an obese individual with body mass index over 30 are calculated. The length of time the obese subject can survive during prolonged starvation is estimated using the model.

Keywords

Differential equations Starvation Ketone bodies Energy balance Mathematical model

Mathematics Subject Classification (2000)

92C30 92C40