Statistical laws for food fragmentation by human mastication

Journal of the Physical Society of Japan

Volumn 75, Issue 8, 2006, Pages

  Kobayashi, Naoki ^a   Kohyama, Kaoru ^a   Sasaki, Yo ^b   Matsushita, Mitsugu ^b  

^a NATIONAL FOOD RESEARCH INSTITUTE   (Japan)

^b CHUO UNIVERSITY   (Japan)

Author keywords

Human mastication; Lognormal distribution; Sequential fragmentation; Stretched exponential distribution

Indexed keywords

EID: 33847338594     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.75.083001     Document Type: Article

References (25)

1. M. Bourne: Food Texture and Viscosity (Academic Press, London, 2003) 2nd ed.
2. J. B. Hutchings and P. J. Lillford: J. Texture Stud. 19 (1988) 103.
3. J. F. Prinz and P. W. Lucas: Proc. R. Soc. London, Ser. B 264 (1997) 1715.
4. P. W. Lucas and D. A. Luke: Archs. Oral Biol. 28 (1983) 813.
5. L. W. Olthoff, A. van der Bilt, F. Bosman and H. H. Kleizen: Arch. Oral Biol. 29 (1984) 899.
6. A. van der Bilt, J. H. Abbink, F. Mowlana and M. R. Heath: Arch. Oral Biol. 38 (1993) 163.
7. M.-A. Peyron, A. Mishellany and A. Woda: J. Dent. Res. 83 (2004) 578.
8. R. S. Manly and L. C. Braley: J. Dent. Res. 29 (1950) 448.
9. F. Eliyas and M. R. Health: J. Dent. Res. 68 (1989) 936.
10. W. K. Brown and K. H. Wohletz: J. Appl. Phys. 78 (1995) 2758.
11. Statistical Models for the Fracture in Disordered Media, ed. H. J. Herrmann and S. Roux (North-Holland, Amsterdam, 1990).
12. J. J. Gilvarry and B. H. Bergstrom: J. Appl. Phys. 32 (1961) 400.
13. T. Ishii and M. Matsushita: J. Phys. Soc. Jpn. 61 (1992) 3474.
14. L. Oddershede, P. Dimon and J. Bohr: Phys. Rev. Lett. 71 (1993) 3107.
15. Y. Hayakawa: Phys. Rev. B 53 (1996) 14828.
16. H. Katsuragi, D. Sugino and H. Honjo: Phys. Rev. E 70 (2004) 065103 R.
17. F. Wittel, F. Kun, H. J. Herrmann and B. H. Kroplin: Phys. Rev. Lett. 93 (2004) 035504.
18. A. N. Kolmogorov: Dokl. Akad. Nauk SSSR 31 (1941) 99.
19. M. Matsushita and K. Sumida: Bull. Fac. Sci. Eng. Chuo Univ. 31 (1988) 69.
20. E. W. Montroll and M. F. Shlesinger: J. Stat. Phys. 32 (1983) 209.
21. W. Shockley: Proc. IRE 45 (1957) 279.
22. O. Moriyama, H. Itoh, S. Matsushita and M. Matsushita: J. Phys. Soc. Jpn. 72 (2003) 2409.
23. N. Kobayashi, Y. Sasaki, O. Moriyama, S. Matsushita and M. Matsushita: to be published Nonlinear Phenom. Complex Syst. (2006).
24. Lognormal Distributions - Theory and Applications, ed. E. L. Crow and K. Shimizu (Marcel Dekker, New York, 1988).
25. K. Kohyama, T. Sasaki, F. Hayakawa and E. Hatakeyama: Biosci. Biotechnol. Biochem. 68 (2004) 2104.