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Math Biosci Eng. 2009 Oct;6(4):873-87. doi: 10.3934/mbe.2009.6.873.

A mathematical model of weight change with adaptation.

Author information

1
Department of Mathematical Sciences, Montclair State University, Montclair, NJ 07043, USA. thomasdia@mail.montclair.edu

Abstract

As obesity and its related health problems grow around the world, efforts to control and manage weight is increasing in importance. It is well known that altering and maintaining weight is problematic and this has led to specific studies trying to determine the cause of the difficulty. Recent research has identified that the body reacts to forced weight change by adapting individual total energy expenditure. Key factors are an adaptation of resting metabolic rate, non-exercise activity thermogenesis and dietary induced thermogenesis. We develop a differential equation model based on the first law of thermodynamics that incorporates all three adjustments along with natural age related reduction of the resting metabolic rate. Forward time simulations of the model compare well with mean data in both overfeeding and calorie restriction studies.

PMID:
19835433
PMCID:
PMC2764961
DOI:
10.3934/mbe.2009.6.873
[Indexed for MEDLINE]
Free PMC Article

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