An optimization model for mastication and swallowing in mammals

Mammalian mastication is a process combining simultaneous food comminution and lubrication. The initiation of swallowing, which is voluntary, has been thought to depend on separate thresholds for food particle size and for particle lubrication. Instead of this duality, we suggest that swallowing is initiated when it is sensed that a batch of food particles is binding together under viscous forces so as to form a bolus. Bolus formation ensures that when the food mass is swallowed, it will pass the pharyngeal region safely without risk of inhaling small particles into the lower respiratory tract. Crucial for bolus formation is food particle size reduction by mastication. This allows the tongue to pack particles together tightly by pressure against the hard palate. A major function of salivation is to fill the gradually reducing spaces between particles, so increasing viscous cohesion and promoting bolus formation. If swallowing is delayed, excessive saliva floods the bolus, separating particles and reducing cohesion. Swallowing then becomes more precarious. Our model suggests that there is an optimum moment for a mammal to swallow, defined in terms of a peak cohesive force between food particles. The model is tested on human mastication with two foods, brazil nut and raw carrot, which have very different particle size breakdown rates. The peak cohesive force is much greater with brazil nuts but both foods are predicted to be swallowed after similar numbers of chews despite the very different food particle size reductions achieved at that stage. The predicted number of chews to swallow is in broad agreement with published data.

[1]  E. Guth Theory of Filler Reinforcement , 1945 .

[2]  B. Epstein The mathematical description of certain breakage mechanisms leading to the logarithmico-normal distribution , 1947 .

[3]  A. Yurkstas,et al.  Value of different test foods in estimating masticatory ability. , 1950, Journal of applied physiology.

[4]  F. P. Bowden,et al.  The Friction and Lubrication of Solids , 1964 .

[5]  F. C. Thompson,et al.  Mechanical Properties of Matter , 1965, Nature.

[6]  R. Ringel,et al.  Oral perception. I. Two-point discrimination. , 1965, Journal of speech and hearing research.

[7]  C. Dawes The effect of flow rate and length of stimulation on the protein concentration in human parotid saliva. , 1967, Archives of oral biology.

[8]  The surface tension of saliva. , 1970 .

[9]  R. Edwards CHAPTER 2 – Surface Tension , 1970 .

[10]  P. Laine,et al.  Oral and manual stereognosis and two-point tactile discrimination of the tongue. , 1971, Acta odontologica Scandinavica.

[11]  J. Basmajian,et al.  Electromyography of the oral stage of swallowing in man. , 1972, The American journal of anatomy.

[12]  I. Månsson,et al.  Oro-pharyngeal sensitivity and elicitation of swallowing in man. , 1975, Acta oto-laryngologica.

[13]  A. Storey,et al.  Interactions of alimentary and upper respiratory tract reflexes , 1976 .

[14]  B. J. Roberts A study of the viscosity of saliva at different shear rates in dentate and edentulous patients. , 1977, Journal of dentistry.

[15]  Mark Denny,et al.  The role of gastropod pedal mucus in locomotion , 1980, Nature.

[16]  P. Ahlqvist,et al.  On the Hydrodynamical Theory for Surface Plasmons , 1982 .

[17]  D. A. Luke,et al.  Methods for analysing the breakdown of food in human mastication. , 1983, Archives of oral biology.

[18]  H. H. Kleizen,et al.  Distribution of particle sizes in food comminuted by human mastication. , 1984, Archives of oral biology.

[19]  K. Hiiemae,et al.  Chapter 14. Mastication, Food Transport, and Swallowing , 1985 .

[20]  P. Lucas,et al.  Food breakdown patterns produced by human subjects possessing artificial and natural teeth. , 1986, Journal of oral rehabilitation.

[21]  C. Duvivier,et al.  Spinability of respiratory mucous. Validation of a new apparatus: the Filancemeter. , 1986, Bulletin europeen de physiopathologie respiratoire.

[22]  P. Lucas,et al.  Is food particle size a criterion for the initiation of swallowing? , 1986, Journal of oral rehabilitation.

[23]  R. J. Hunter Foundations of Colloid Science , 1987 .

[24]  A. van der Bilt,et al.  A mathematical description of the comminution of food during mastication in man. , 1987, Archives of oral biology.

[25]  P. Sherman 23 – THE SENSORY–RHEOLOGICAL INTERFACE , 1988 .

[26]  C. Dawes,et al.  The effects of different foods and concentrations of citric acid on the flow rate of whole saliva in man. , 1988, Archives of oral biology.

[27]  P. Lillford,et al.  THE PERCEPTION OF FOOD TEXTURE ‐ THE PHILOSOPHY OF THE BREAKDOWN PATH , 1988 .

[28]  C. Dawes,et al.  A comparison of the effects of tasting and chewing foods on the flow rate of whole saliva in man. , 1988, Archives of oral biology.

[29]  A. Jean Brainstem Control of Swallowing: Localization and Organization of the Central Pattern Generator for Swallowing , 1990 .

[30]  P. Lillford Feeding and the Texture of Food: Texture and acceptability of human foods , 1991 .

[31]  R. M. Alexander Optimization of gut structure and diet for higher vertebrate herbivores. , 1991, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[32]  S. Kashket,et al.  Lack of Correlation Between Food Retention on the Human Dentition and Consumer Perception of Food Stickiness , 1991, Journal of dental research.

[33]  A. Thexton Mastication and swallowing: an overview , 1992, British Dental Journal.

[34]  Kathleen K. Smith The evolution of the mammalian pharynx , 1992 .

[35]  A. Spadaro Saliva and dental health Edited by W M Edgar and D M D'Mullane, British Dental Association, London, 1990 , 1993 .

[36]  The Digestive System in Mammals: Food, Form and Function: Optimum gut structure for specified diets , 1994 .

[37]  K. Hiiemae,et al.  Patterns of tongue and jaw movement in a cinefluorographic study of feeding in the macaque. , 1995, Archives of oral biology.

[38]  P. Lucas,et al.  Swallow thresholds in human mastication. , 1995, Archives of oral biology.

[39]  An analytic probability density for particle size in human mastication. , 1996, Journal of theoretical biology.

[40]  M. Pogrel,et al.  Hyaluronan (hyaluronic acid) in human saliva. , 1996, Archives of oral biology.

[41]  P. Lucas,et al.  Mechanical properties of foods responsible for resisting food breakdown in the human mouth. , 1997, Archives of oral biology.