{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,21]],"date-time":"2025-09-21T18:21:37Z","timestamp":1758478897279},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2012,1,5]],"date-time":"2012-01-05T00:00:00Z","timestamp":1325721600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Biomech Model Mechanobiol"],"published-print":{"date-parts":[[2012,9]]},"DOI":"10.1007\/s10237-011-0366-3","type":"journal-article","created":{"date-parts":[[2012,1,4]],"date-time":"2012-01-04T11:40:40Z","timestamp":1325677240000},"page":"973-982","source":"Crossref","is-referenced-by-count":8,"title":["A novel mathematical model of bone remodelling cycles for trabecular bone at the cellular level"],"prefix":"10.1007","volume":"11","author":[{"given":"Bingbing","family":"Ji","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Paul G.","family":"Genever","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ronald J.","family":"Patton","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Devi","family":"Putra","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael J.","family":"Fagan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,1,5]]},"reference":[{"key":"366_CR1","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/0169-6009(91)90039-3","volume":"12","author":"M Agerbaek","year":"1991","unstructured":"Agerbaek M, Eriksen E, Kragstrup J, Mosekilde L, Melsen F (1991) A reconstruction of the remodelling cycle in normal human cortical iliac bone. Bone Miner 12: 101\u2013112","journal-title":"Bone Miner"},{"issue":"3","key":"366_CR2","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1089\/ten.teb.2008.0082","volume":"14","author":"A Allori","year":"2008","unstructured":"Allori A, Sailon A, Warren S (2008) Biological basis of bone formation, remodelling, and repair\u2014Part I: Biochemical signaling molecules. Tissue Eng Part B 14(3): 259\u2013273","journal-title":"Tissue Eng Part B"},{"issue":"6","key":"366_CR3","doi-asserted-by":"crossref","first-page":"899","DOI":"10.1139\/o99-005","volume":"76","author":"JE Aubin","year":"1998","unstructured":"Aubin JE (1998) Advances in the osteoblast lineage. Biochem Cell Biol 76(6): 899\u2013910","journal-title":"Biochem Cell Biol"},{"key":"366_CR4","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/j.abb.2008.03.018","volume":"473","author":"BF Boyce","year":"2008","unstructured":"Boyce BF, Xing L (2008) Functions of RANKL\/RANK\/OPG in bone modelling and remodelling. Arch Biochem Biophys 473: 139\u2013146","journal-title":"Arch Biochem Biophys"},{"issue":"4","key":"366_CR5","doi-asserted-by":"crossref","first-page":"918","DOI":"10.1016\/j.bone.2010.12.009","volume":"48","author":"PR Buenzli","year":"2011","unstructured":"Buenzli PR, Pivonka P, Smith DW (2011) Spatio-temporal structure of cell distribution in cortical bone multicellular units: a mathematical model. Bone 48(4): 918\u2013926","journal-title":"Bone"},{"key":"366_CR6","first-page":"33","volume-title":"Primer on the metabolic bone diseases and disorders of mineral metabolism","author":"E Canalis","year":"1993","unstructured":"Canalis E (1993) Regulation of bone remodelling. In: Favus M, Christakos S, Gagel R, Kleerekoper M, Langman C, Shane E, Stewart A, Whyte M (eds) Primer on the metabolic bone diseases and disorders of mineral metabolism. Lippincott-Raven, New York, pp 33\u201337"},{"key":"366_CR7","first-page":"1","volume":"102","author":"P Christiansen","year":"2001","unstructured":"Christiansen P (2001) The skeleton in primary hyperparathyroidism: a review focusing on bone remodelling, structure, mass, and fracture. APMIS Suppl 102: 1\u201352","journal-title":"APMIS Suppl"},{"key":"366_CR8","first-page":"3","volume-title":"Osteoporosis, Chap 1","author":"TA Einhorn","year":"1996","unstructured":"Einhorn TA (1996) The bone organ system: form and function. In: Marcus R, Feldman D, Kelsey J (eds) Osteoporosis, Chap 1. Academic Press, New York, pp 3\u201321"},{"key":"366_CR9","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0221-8747(84)90065-1","volume":"5","author":"E Eriksen","year":"1984","unstructured":"Eriksen E, Gundersen H, Melsen F, Mosekilde L (1984a) Reconstruction of the resorptive site in iliac trabecular bone: a kinetic model for bone resorption in 20 normal individuals. Metab Bone Dis Rel Res 5: 235\u2013242","journal-title":"Metab Bone Dis Rel Res"},{"key":"366_CR10","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/0221-8747(84)90066-3","volume":"5","author":"E Eriksen","year":"1984","unstructured":"Eriksen E, Gundersen H, Melsen F, Mosekilde L (1984b) Reconstruction of the formative site in iliac trabecular bone in 20 normal individuals employing a kinetic model for matrix and mineral apposition. Metab Bone Dis Rel Res 5: 243\u2013252","journal-title":"Metab Bone Dis Rel Res"},{"key":"366_CR11","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1016\/8756-3282(85)90218-2","volume":"6","author":"E Eriksen","year":"1985","unstructured":"Eriksen E, Mosekilde L, Melsen F (1985) Trabecular bone remodelling and bone balance in hyperthyroidism. Bone 6: 421\u2013428","journal-title":"Bone"},{"key":"366_CR12","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/8756-3282(86)90681-2","volume":"7","author":"E Eriksen","year":"1986","unstructured":"Eriksen E, Mosekilde L, Melsen F (1986a) Kinetics of trabecular bone resorption and formation in hypothyroidism: evidence for a positive balance per remodelling cycle. Bone 7: 101\u2013108","journal-title":"Bone"},{"key":"366_CR13","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/8756-3282(86)90020-7","volume":"7","author":"E Eriksen","year":"1986","unstructured":"Eriksen E, Mosekilde L, Melsen F (1986b) Trabecular bone remodelling and balance in primary hyperparathyroidism. Bone 7: 213\u2013221","journal-title":"Bone"},{"key":"366_CR14","first-page":"227","volume":"143","author":"H Frost","year":"1979","unstructured":"Frost H (1979) Treatment of osteoporoses by manipulation of coherent bone cell populations. Clin Orthop Relat Res 143: 227\u2013244","journal-title":"Clin Orthop Relat Res"},{"key":"366_CR15","unstructured":"Frost H (1986) Intermediary organization of the skeleton. CRC press, Boca Raton"},{"key":"366_CR16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/1087","volume":"5","author":"GF Gause","year":"1936","unstructured":"Gause GF, Smaragdova N, Witt A (1936) Further studies of interaction between predator and prey. J Anim Ecol 5: 1\u201318","journal-title":"J Anim Ecol"},{"key":"366_CR17","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1007\/BF02555144","volume":"43","author":"V Gilsanz","year":"1988","unstructured":"Gilsanz V, Gibbens D, Carlson M, Boechat I, Cann C, Schulz E (1988) Peak trabecular bone density: a comparison of adolescent and adult females. Calcif Tissue Int 43: 260\u2013262","journal-title":"Calcif Tissue Int"},{"key":"366_CR18","first-page":"91","volume":"131","author":"Z Jaworski","year":"1980","unstructured":"Jaworski Z, Hooper C (1980) Study of cell kinetics within evolving secondary haversian systems. J Anat 131: 91\u2013102","journal-title":"J Anat"},{"key":"366_CR19","first-page":"397","volume":"133","author":"Z Jaworski","year":"1981","unstructured":"Jaworski Z, Duck B, Sekaly G (1981) Kinetics of osteoclasts and their nuclei in evolving secondary haversian systems. J Anat 133: 397\u2013405","journal-title":"J Anat"},{"issue":"1","key":"366_CR20","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1002\/jcp.20041","volume":"201","author":"M Kanatani","year":"2004","unstructured":"Kanatani M, Sugimoto T, Sowa H, Kobayashi T, Kanzawa M, Chihara K (2004) Thyroid hormone stimulates osteoclast differentiation by a mechanism independent of RANKL\u2013RANK interaction. J Cell Physiol 201(1): 17\u201325","journal-title":"J Cell Physiol"},{"key":"366_CR21","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1016\/S8756-3282(03)00157-1","volume":"33","author":"S Komarova","year":"2003","unstructured":"Komarova S, Smith R, Dixon S, Sims S, Wahl L (2003) Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodelling. Bone 33: 206\u2013215","journal-title":"Bone"},{"key":"366_CR22","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1006\/bulm.1999.0146","volume":"62","author":"M Kroll","year":"2000","unstructured":"Kroll M (2000) Parathyroid hormone temporal effects on bone formation and resorption. Bull Math Biol 62: 163\u2013188","journal-title":"Bull Math Biol"},{"key":"366_CR23","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1007\/BF00178329","volume":"28","author":"Y Kuang","year":"1990","unstructured":"Kuang Y (1990) Global stability of Gause-type predator-prey systems. J Math Biol 28: 463\u2013474","journal-title":"J Math Biol"},{"key":"366_CR24","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/j.jtbi.2004.03.023","volume":"229","author":"V Lemaire","year":"2004","unstructured":"Lemaire V, Tobin F, Greller L, Cho C, Suva L (2004) Modeling the interactions between osteoblast and osteoclast activities in bone remodelling. J Theor Biol 229: 293\u2013309","journal-title":"J Theor Biol"},{"issue":"2","key":"366_CR25","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1210\/er.21.2.115","volume":"21","author":"SC Manolagas","year":"2000","unstructured":"Manolagas SC (2000) Birth and death of bone cells: basic regulatory mechanisms and implications for the pathogenesis and treatment of osteoporosis. Endocr Rev 21(2): 115\u2013137","journal-title":"Endocr Rev"},{"key":"366_CR26","doi-asserted-by":"crossref","first-page":"987","DOI":"10.1006\/bbrc.2002.6561","volume":"291","author":"M Miura","year":"2002","unstructured":"Miura M, Tanaka K, Komatsu Y, Suda M, Yasoda A, Sakuma Y, Ozasa A, Nakao K (2002) A novel interaction between thyroid hormone and 1,25(OH)(OH)2D3 in osteoclast formation. Biochem Biophys Res Commun 291: 987\u2013994","journal-title":"Biochem Biophys Res Commun"},{"key":"366_CR27","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/j.biosystems.2005.11.002","volume":"84","author":"A Moroz","year":"2006","unstructured":"Moroz A, Crane M, Smith G, Wimpenny D (2006) Phenomenological model of bone remodelling cycle containing osteocyte regulation loop. Biosystems 84: 183\u2013190","journal-title":"Biosystems"},{"key":"366_CR28","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1002\/jcb.240550303","volume":"55","author":"A Parfitt","year":"1994","unstructured":"Parfitt A (1994) Osteonal and hemi-osteonal remodelling: the spatial and temporal framework for signal traffic in adult human bone. J Cell Biochem 55: 273\u2013286","journal-title":"J Cell Biochem"},{"key":"366_CR29","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1016\/S8756-3282(00)80937-0","volume":"26","author":"A Parfitt","year":"2000","unstructured":"Parfitt A (2000) The mechanism of coupling: a role for the vasculature. Bone 26: 319\u2013323","journal-title":"Bone"},{"key":"366_CR30","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/j.bone.2008.03.025","volume":"43","author":"P Pivonka","year":"2008","unstructured":"Pivonka P, Zimak J, Smith D, Gardiner B, Dunstan C, Sims N, Martin T, Mundy G (2008) Model structure and control of bone remodelling: a theoretical study. Bone 43: 249\u2013263","journal-title":"Bone"},{"key":"366_CR31","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1016\/j.jtbi.2009.09.021","volume":"262","author":"P Pivonka","year":"2010","unstructured":"Pivonka P, Zimak J, Smith D, Gardiner B, Dunstan C, Sims N, Martin T, Mundy G (2010) Theoretical investigation of the role of the RANK\u2013RANKL\u2013OPG system in bone remodelling. J Theor Biol 262: 306\u2013316","journal-title":"J Theor Biol"},{"key":"366_CR32","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/S0303-2647(03)00040-6","volume":"70","author":"C Rattanakul","year":"2003","unstructured":"Rattanakul C, Lenbury Y, Krishnamara N, Wollkind D (2003) Modelling of bone formation and resorption mediated by parathyroid hormone: response to oestrogen\/PTH therapy. Biosystems 70: 55\u201372","journal-title":"Biosystems"},{"issue":"Suppl","key":"366_CR33","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1002\/(SICI)1097-4644(1998)72:30\/31+<55::AID-JCB9>3.0.CO;2-R","volume":"30\u201331","author":"GA Rodan","year":"1998","unstructured":"Rodan GA (1998) Control of bone formation and resorption: biological and clinical perspective. J Cell Biochem 30\u201331(Suppl): 55\u201361","journal-title":"J Cell Biochem"},{"key":"366_CR34","doi-asserted-by":"crossref","first-page":"1508","DOI":"10.1126\/science.289.5484.1508","volume":"289","author":"GA Rodan","year":"2000","unstructured":"Rodan GA, Martin TJ (2000) Therapeutic approaches to bone diseases. Science 289: 1508\u20131514","journal-title":"Science"},{"issue":"8","key":"366_CR35","doi-asserted-by":"crossref","first-page":"1229","DOI":"10.1016\/S0301-472X(99)00061-2","volume":"27","author":"GD Roodman","year":"1999","unstructured":"Roodman GD (1999) Cell biology of the osteoclast. Exp Hematol 27(8): 1229\u20131241","journal-title":"Exp Hematol"},{"issue":"6","key":"366_CR36","doi-asserted-by":"crossref","first-page":"1899","DOI":"10.1137\/090746094","volume":"70","author":"MD Ryser","year":"2010","unstructured":"Ryser MD, Komarova SV, Nigam N (2010) The cellular dynamics of bone remodelling: a mathematical model. SIAM J Appl Math 70(6): 1899\u20131921","journal-title":"SIAM J Appl Math"},{"key":"366_CR37","doi-asserted-by":"crossref","first-page":"2250","DOI":"10.1056\/NEJMra053077","volume":"354","author":"E Seeman","year":"2006","unstructured":"Seeman E, Delmas P (2006) Bone quality the material and structural basis of bone strength and fragility. N Engl J Med 354: 2250\u20132261","journal-title":"N Engl J Med"},{"key":"366_CR38","doi-asserted-by":"crossref","first-page":"S86","DOI":"10.1007\/s005860100283","volume":"10","author":"DW Sommerfeldt","year":"2001","unstructured":"Sommerfeldt DW, Rubin CT (2001) Biology of bone and how it orchestrates the form and function of the skeleton. J Eur Spine 10: S86\u2013S95","journal-title":"J Eur Spine"},{"key":"366_CR39","doi-asserted-by":"crossref","first-page":"1504","DOI":"10.1126\/science.289.5484.1504","volume":"289","author":"SL Teitelbaum","year":"2000","unstructured":"Teitelbaum SL (2000) Bone resorption by osteoclasts. Science 289: 1504\u20131508","journal-title":"Science"},{"key":"366_CR40","doi-asserted-by":"crossref","first-page":"185","DOI":"10.2330\/joralbiosci.48.185","volume":"48","author":"N Udagawa","year":"2006","unstructured":"Udagawa N, Nakamura M, Sato N, Takahashi N (2006) The mechanism of coupling between bone resorption and formation. J Oral Biosci 48: 185\u2013197","journal-title":"J Oral Biosci"},{"key":"366_CR41","doi-asserted-by":"crossref","first-page":"791","DOI":"10.1038\/nm1593","volume":"13","author":"M Zaidi","year":"2007","unstructured":"Zaidi M (2007) Skeletal remodelling in health and disease. Nat Med 13: 791\u2013801","journal-title":"Nat Med"}],"container-title":["Biomechanics and Modeling in Mechanobiology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10237-011-0366-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10237-011-0366-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10237-011-0366-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T11:29:24Z","timestamp":1559129364000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10237-011-0366-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1,5]]},"references-count":41,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2012,9]]}},"alternative-id":["366"],"URL":"https:\/\/doi.org\/10.1007\/s10237-011-0366-3","relation":{},"ISSN":["1617-7959","1617-7940"],"issn-type":[{"value":"1617-7959","type":"print"},{"value":"1617-7940","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1,5]]}}}