Mathematical approaches to bone reformation phenomena and numerical simulations

Journal of Computational and Applied Mathematics

Volumn 158, Issue 1, 2003, Pages 107-119

  Matsuura, Yoshinori ^a   Oharu, Shinnosuke ^b   Takata, Takashi ^c   Tamura, Akio ^a  

^a HIROSHIMA CITY UNIVERSITY   (Japan)

^b CHUO UNIVERSITY   (Japan)

^c HIROSHIMA UNIVERSITY   (Japan)

Author keywords

Biophysical phase transition; Bone surface; Convective reaction diffusion system; Hysteresis phenomena in bone remodeling; Interface equation; Mathematical model of bone remodeling; Multi scale grid generation; Numerical simulations on computer aided design systems; Order parameter; Osteoblast; Osteoclast

Indexed keywords

CELLS; COLLAGEN; COMPUTER SIMULATION; ENZYME KINETICS; HYDROXYAPATITE; MATHEMATICAL MODELS;

BONE MARROWS;

BONE;

BIOMEDICAL APPLICATION; COMPUTER AIDED DESIGN; MATHEMATICAL MODELING;

EID: 0042785943     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00470-9     Document Type: Article

References (4)

1. Kobayasi K. Kobayashi Y. Oharu S. Nonlinear evolution equations in Banach Spaces Osaka J. Math. 21 1984 281-310
2. Y. Matsuura, S. Oharu, T. Takata, Mathematical models of bone remodeling and numerical simulation, Proceedings of Eurosim 2001 Shaping Future with Simulation, 2001
3. Matsuura Y. Oharu S. Tebbs D. On a class of reaction-diffusion systems describing bone remodeling phenomena Nihonkai Math. J. 13 1 2002 17-32
4. Y. Sato, M. Wadamoto, Y. Yuasa, S. Oharu, Y. Akagawa, H. Tsuru, Three dimentional computer graphics of bone-implant interface structure of an endosseous dental implant, in: H. Tsuru, H.W. Preiskel, E. Matsuo, Y. Moriya (Eds.), Proceedings of the World Congress on Prosthodontics, WCP Hiroshima 1991, Publications Committee, 1992, pp. 442-443.