Healing times for circular wounds on plane and spherical bone surfaces

Applied Mathematics Letters

Volumn 15, Issue 1, 2002, Pages 55-58

  Adam, J A ^a  

^a OLD DOMINION UNIVERSITY   (United States)

Author keywords

Critical size defect; Healing times; Radial contraction; Wound healing

Indexed keywords

EID: 31244435446     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(01)00092-1     Document Type: Article

References (12)

1. J.P. Schmitz and J.O. Hollinger, The critical size defect as an experimental model for craniomandibulofacial nonunions, Clinical Orthopaedics and Related Research 205, 299-308, (1986).
2. J.O. Hollinger and J.C. Kleinschmidt, The critical size defect as an experimental model to test bone repair materials, J. Craniofacial Surg. 1, 60-68, (1990).
3. J.A. Adam, A simplified model of wound healing with particular reference to the critical size defect, Mathl. Comput. Modelling 30 (5/6), 23-32, (1999).
4. J.S. Arnold and J.A. Adam, A simplified model of wound healing II: The critical size defect in two dimensions, Mathl. Comput. Modelling 30 (11/12), 47-60, (1999).
5. N.T. Bennett and G.S. Schultz, Growth factors and wound healing: Biochemical properties of growth factors and their receptors, Am. J. Surg. 165, 728-737, (1993).
6. G.R. Mundy, Regulation of bone formation by bone morphogenetic proteins and other growth factors, Clin. Orthop. 324, 24-28, (1996).
7. R.E. Marx et al., Platelet-rich plasma. Growth factor enhancement for bonegrafts, Oral Surg. Oral Med. Oral Pathol. Oral Radiol. Endod. 85, 638-646, (1998).
8. N.N. Nissen et al., Vascular endothelial growth factor mediates apgiogenic activity during the proliferative phase of wound healing, Am. J. Pathol. 152, 1445-1452, (1998).
9. S.C. Hsieh and D.T. Graves, Pulse application of platelet-derived growth factor enhances formation of a mineralizing matrix while continuous application is inhibitory, J. Cell. Biochem. 69, 169-180, (1998).
10. M. Eisinger, S. Sadan, I.A. Silver and R.B. Flick, Proc. Natl. Acad. Sci. USA 85, 1937-1941, (1988).
11. H. Winet, The role of microvasculature in normal and perturbed bone healing as revealed by intravital microscopy, Bone 19, 39S-57S, (1996).
12. J. Schmid et al., The significance of angiogenesis in guided bone regeneration. A case report of a rabbit experiment, Clin. Oral Implants Res. 8, 244-248, (1997).