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An Analytic Probability Density for Particle Size in Human Mastication

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An Analytic Probability Density for Particle Size in Human Mastication

Auteurs : F. A. Baragar Retired [Canada] ; A. Van Der Bilt [Pays-Bas] ; H. W. Van Der Glas [Pays-Bas]

Source :

Journal of Theoretical Biology [ 0022-5193 ] ; 1996.

RBID : ISTEX:6F20553B06353CBA153BEA3FBBEB4DF42EC3A6E2

English descriptors

KwdEn :
- Academic press, Analytical expression, Analytical method, Average particle size, Bilt, Biol, Breakage, Breakage function, Breakage functions, Breakage process, Breakage sites, Breakage variables, Central tendency, Comminuted food, Comminution, Comminution data, Comminution process, Complete agreement, Composite result, Cumulative distributions, Cumulative probability distribution, Data points, Density function, Dentate subject, Dentate subjects, Discrete evolution, Double logarithmic scale, Empirical function, Equivalent rate process, Food comminution, Food particle, Food particles, Glas, Good description, Human mastication, Initial phase, Initial size, Largest particle size, Lucas luke, Mastication, Masticatory process, Mathematical description, Median, Median particle size, Numerical model, Particle, Particle size, Particle size distribution, Particle sizes, Powder technol, Power function, Probability densities, Probability density, Recurrence relation, Relative particle size, Rosin rammler, Selection function, Selection variables, Silicone rubber, Simple functions, Size distribution, Size intervals, Small particles, Smaller sizes, Solid food, Test food, Tooth shape, Variable number, Various numbers, Various sieves.
Teeft :
- Academic press, Analytical expression, Analytical method, Average particle size, Bilt, Biol, Breakage, Breakage function, Breakage functions, Breakage process, Breakage sites, Breakage variables, Central tendency, Comminuted food, Comminution, Comminution data, Comminution process, Complete agreement, Composite result, Cumulative distributions, Cumulative probability distribution, Data points, Density function, Dentate subject, Dentate subjects, Discrete evolution, Double logarithmic scale, Empirical function, Equivalent rate process, Food comminution, Food particle, Food particles, Glas, Good description, Human mastication, Initial phase, Initial size, Largest particle size, Lucas luke, Mastication, Masticatory process, Mathematical description, Median, Median particle size, Numerical model, Particle, Particle size, Particle size distribution, Particle sizes, Powder technol, Power function, Probability densities, Probability density, Recurrence relation, Relative particle size, Rosin rammler, Selection function, Selection variables, Silicone rubber, Simple functions, Size distribution, Size intervals, Small particles, Smaller sizes, Solid food, Test food, Tooth shape, Variable number, Various numbers, Various sieves.

Abstract

Abstract: In previous studies the distribution of particles sizes of chewed food has been described by an empirical function. However, at the beginning of the chewing process, when many unbroken food particles are still present in the mixture, this function failed to give a good description. In the present study, formulae were derived to characterize the distribution of chewed food particles by size as a function of the number of chewing cycles. The reduction of food particle sizes was considered too be the composite result of a selection and a breakage process. Both processes were described by simple functions. The probability densityPn+1(x) of finding a particle of sizexaftern+ 1 chewing cycles was computed fromPn(x) by selecting a proportion of particles of sizeyfromPnto be converted to particles of sizex
Url:

https://api.istex.fr/document/6F20553B06353CBA153BEA3FBBEB4DF42EC3A6E2/fulltext/pdf

DOI: 10.1006/jtbi.1996.0123

Affiliations:

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Le document en format XML

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<term>Biol</term>
<term>Breakage</term>
<term>Breakage function</term>
<term>Breakage functions</term>
<term>Breakage process</term>
<term>Breakage sites</term>
<term>Breakage variables</term>
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<term>Comminuted food</term>
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<term>Initial size</term>
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<term>Mathematical description</term>
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<front><div type="abstract" xml:lang="en">Abstract: In previous studies the distribution of particles sizes of chewed food has been described by an empirical function. However, at the beginning of the chewing process, when many unbroken food particles are still present in the mixture, this function failed to give a good description. In the present study, formulae were derived to characterize the distribution of chewed food particles by size as a function of the number of chewing cycles. The reduction of food particle sizes was considered too be the composite result of a selection and a breakage process. Both processes were described by simple functions. The probability densityPn+1(x) of finding a particle of sizexaftern+ 1 chewing cycles was computed fromPn(x) by selecting a proportion of particles of sizeyfromPnto be converted to particles of sizex</div>
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An Analytic Probability Density for Particle Size in Human Mastication

An Analytic Probability Density for Particle Size in Human Mastication

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri