Mathematical Elements of Lamellar Bone Remodelling

Affiliations

Cited Works (6)

Year	Entry
1963	Sedlin ED, Frost HM, Villanueva AR. Variations in cross-section area of rib cortex with age. J Gerontol. 1963;18(1):9-13.
1960	Frost HM. Micropetrosis. J Bone Joint Surg. January 1960;42A(1):144-150.
1957	Evans FG. Stress and Strain in Bones: Their Relation to Fractures and Osteogenesis. Springfield, IL: Charles C. Thomas; 1957.
1963	Frost HM. Bone Remodelling Dynamics. Springfield, IL: Charles C. Thomas; 1963.
1958	Frost HM. Preparation of thin undecalcified bone sections by rapid manual method. Stain Tech. November 1958;33(6):273-277.
1960	Trotter M, Broman GE, Peterson RR. Densities of bones of white and Negro skeletons. J Bone Joint Surg. January 1960;42A(1):50-58.

Cited By (29)

Year	Entry
1991	Weinans HH. Mechanically Induced Bone Adaptations Around Orthopaedic Implants [PhD thesis]. Nijmegen, The Netherlands: Katholieke Universiteit te Nijmegen; 1991.
1981	Hayes WC, Snyder B. Toward a quantitative formulation of Wolff's Law in trabecular bone. In: Cowin SC, ed. Mechanical Properties of Bone. The Joint ASME-ASCE Applied Mechnics, Fluids Engineering and Bioengineering Conference; June 22-24, 1981; Boulder, CO. New York, NY: American Society of Mechical Engineers; 1981:43-68.
1964	Frost HM. The Laws of Bone Structure. Springfield, IL: Charles C. Thomas; 1964.
1983	Frost HM. Bone histomorphometry: choice of marking agent and labeling schedule. In: Recker RR, ed. Bone Histomorphometry: Techniques and Interpretation. Boca Raton, FL: Inc., CRC Press; 1983:37-52.
1983	Frost HM. Bone histomorphometry: analysis of trabecular bone dynamics. In: Recker RR, ed. Bone Histomorphometry: Techniques and Interpretation. Boca Raton, FL: Inc., CRC Press; 1983:109-131.
1983	Frost HM. Bone histomorphometry: correction of the labeling “escape error”. In: Recker RR, ed. Bone Histomorphometry: Techniques and Interpretation. Boca Raton, FL: Inc., CRC Press; 1983:133-142.
1983	Jaworski ZFG. Histomorphometric characteristics of metabolic bone disease. In: Recker RR, ed. Bone Histomorphometry: Techniques and Interpretation. Boca Raton, FL: Inc., CRC Press; 1983:241-263.
1986	Frost HM. Intermediary Organization of the Skeleton. Vols. 1-2. Boca Raton, FL: CRC Press; 1986.
1998	Martin RB, Burr DB, Sharkey NA. Skeletal Tissue Mechanics. New York, NY: Springer-Verlag; 1998.
1984	Baron R, Tross R, Vignery A. Evidence of sequential remodeling in rat trabecular bone: morphology, dynamic histomorphometry, and changes during skeletal maturation. Anat Rec. January 1984;208B(1):137-145.
1990	Frost HM. Skeletal structural adaptations to mechanical usage (SATMU), II: redefining Wolff's Law: the remodeling problem. Anat Rec. April 1990;226(4):414-422.
2003	Frost HM. Bone's mechanostat: a 2003 update. Anat Rec. 2003;275A(2):1081-1101.
1994	Frost HM. Wolff's law and bone's structural adaptations to mechanical usage: an overview for clinicians. Angle Orthod. June 1994;64(3):175-188.
1973	Pugh JW. The micro-mechanics of cancellous bone, I: microscopic observations. Bull Hosp Joint Dis. April 1973;34(1):92-106.
1969	Frost HM. Tetracycline-based histological analysis of bone remodeling. Calcif Tiss Res. 1969;3(1):211-237.
1985	Frost HM. The pathomechanics of osteoporoses. Clin Orthop Relat Res. November 1985;200:198-225.
1986	Eriksen EF. Normal and pathological remodeling of human trabecular bone: three dimensional reconstruction of the remodeling sequence in normals and in metabolic bone disease. Endocr Rev. November 1986;7(4):379-408.
1983	Frost HM. The regional acceleratory phenomenon: a review. Henry Ford Hosp Med J. 1983;31(1):3-9.
1987	Lanyon LE. Functional strain in bone tissue as an objective, and controlling stimulus for adaptive bone remodelling. J Biomech. 1987;20(11-12):1083-1093.
1992	Weinans H, Huiskes R, Grootenboer HJ. The behavior of adaptive bone-remodeling simulation models. J Biomech. December 1992;25(12):1425-1441.
1988	Pead MJ, Skerry TM, Lanyon LE. Direct transformation from quiescence to bone formation in the adult periosteum following a single brief period of bone loading. J Bone Miner Res. December 1988;3(6):647-656.
1994	Parfitt AM. Osteonal and hemi‐osteonal remodeling: the spatial and temporal framework for signal traffic in adult human bone. J Cell Biochem. July 1994;55(3):273-286.
1986	Villanueva AR, Sypitkowski C, Parfitt AM. A new method for identification of cement lines in undecalcified, plastic embedded sections of bone. Stain Tech. March 1986;61(2):83-88.
1990	Bain SD, Impeduglia TM, Rubin CT. Cement line staining in undecalcified thin sections of cortical bone. Stain Tech. 1990;65(4):159-163.
2004	Pearson OM, Lieberman DE. The aging of Wolff's “law”: ontogeny and responses to mechanical loading in cortical bone. Yearb Phys Anthropol. 2004;47:63-99.
1992	Littlewood AJ. Production and Effects of IL-6 on Human Osteoblast-Like Cells [PhD thesis]. University of Bath; 1992.
2004	Tovar A. Bone Remodeling as a Hybrid Cellular Automaton Optimization Process [PhD thesis]. University of Notre Dame; December 2004.
1991	Hollister SJ. Homogenization Analysis of Trabecular Bone and Prediction Ofbone Ingrowth Using Topology Optimization [PhD thesis]. University of Michigan; 1991.
2013	Eleazer CD. The Interaction of Mechanical Loading and Metabolic Stress on Human Cortical Bone: Testing Anthropological Assumptions Using Cross-Sectional Geometry and Histomorphology [PhD thesis]. Knoxville, University of Tennessee; August 2013.