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An analytic probability density for particle size in human mastication

F A Baragar1, A van der Bilt, H W van der Glas

  • 1Department of Mathematical Sciences, University of Alberta, Edmonton, Canada. abaragar@vega.math.ualberta.ca

Journal of Theoretical Biology
|July 21, 1996
PubMed
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This study introduces new formulas to accurately describe food particle size distribution during chewing. These formulas account for both selection and breakage, quantifying chewing performance across all stages.

Area of Science:

  • Food science
  • Biomechanics
  • Mathematical modeling

Background:

  • Previous empirical functions inadequately described food particle size distribution at the start of chewing.
  • The initial phase of chewing involves many unbroken particles, posing a challenge for existing models.

Purpose of the Study:

  • To derive new formulae for characterizing chewed food particle size distribution.
  • To model particle size reduction as a function of chewing cycles.
  • To provide an analytic method for quantifying chewing performance.

Main Methods:

  • Developed formulae based on selection and breakage processes.
  • Computed particle size distribution using probability density functions.
  • Analyzed measures of central tendency (average, median, most probable size) over chewing cycles.

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Main Results:

  • The derived formulae accurately describe particle size distribution throughout the entire chewing process.
  • Selection and breakage functions effectively model food comminution.
  • Measures of central tendency quantify the extent of food breakdown.

Conclusions:

  • The new analytic approach provides a comprehensive description of food comminution.
  • This method allows for precise quantification of chewing performance.
  • The formulae are valid for all phases of the chewing process.