A mathematical model of weight change with adaptation

Diana M. Thomas, Ashley Ciesla, James A. Levine, John G. Stevens, Corby K. Martin

Research output: Contribution to journalArticle

44 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)873-887
Number of pages15
JournalMathematical Biosciences and Engineering
Volume6
Issue number4
DOIs
StatePublished - Oct 1 2009

Keywords

  • Energy balance equation
  • Metabolic adaptation
  • Non-exercise activity thermogenesis

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences(all)
  • Computational Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A mathematical model of weight change with adaptation'. Together they form a unique fingerprint.

  • Cite this

    Thomas, D. M., Ciesla, A., Levine, J. A., Stevens, J. G., & Martin, C. K. (2009). A mathematical model of weight change with adaptation. Mathematical Biosciences and Engineering, 6(4), 873-887. https://doi.org/10.3934/mbe.2009.6.873