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Louis Fostier1, Aloïs Dauger2, Romain Yvinec1

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White adipose tissue adipocyte size distribution is bimodal. A novel dynamical model using a partial differential equation explains this, requiring only three parameters for accurate characterization in rats.

Keywords:
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Area of Science:

  • Physiology
  • Biophysics
  • Mathematical Biology

Background:

  • White adipose tissue stores energy in adipocytes, whose sizes vary based on lipid content.
  • Adipocyte size distribution is notably bimodal, lacking a single characteristic size.
  • Understanding adipocyte size dynamics is crucial for metabolic research.

Purpose of the Study:

  • To develop a novel dynamical model for adipocyte size distribution.
  • To mathematically represent continuous adipocyte growth, recruitment, and death.
  • To provide a parsimonious and interpretable framework for characterizing adipocyte populations.

Main Methods:

  • Formulation of a partial differential equation model for adipocyte size dynamics.
  • Mathematical proof of the existence and local stability of a unique stationary solution.
  • Parameter estimation using approximate Bayesian computation (ABC) on rat data.

Main Results:

  • The model successfully describes bimodal adipocyte size distributions.
  • A three-parameter formulation accurately captures experimental data in rats.
  • The model demonstrates excellent agreement with empirical measurements.

Conclusions:

  • The proposed mechanistic model offers a novel approach to understanding adipocyte size distributions.
  • The three-parameter framework provides robust and interpretable characterization of adipocyte populations.
  • This dynamical model advances the study of white adipose tissue physiology.