A hybrid bioregulatory model of angiogenesis during bone fracture healing
Tóm tắt
Từ khóa
Tài liệu tham khảo
Anderson A, Chaplain M (1998) Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull Math Biol 60: 857–900
Bailón-Plaza A, Van der Meulen M (2001) A mathematical framework to study the effects of growth factor influences on fracture healing. J Theor Biol 212: 191–209
Barnes G, Kostenuik P, Gerstenfeld L, Einhorn T (1999) Growth factor regulation of fracture repair. J Bone Miner Res 14(11): 1805–1815
Bernatchez P, Soker S, Sirois M (1999) Vascular endothelial growth factor effect on endothelial cell proliferation, migration, and platelet-activating factor synthesis is Flk-1-dependent. J Biol Chem 274(43): 31,047–31,054
Bostrom M (1998) Expression of bone morphogenetic proteins in fracture healing. Clin Orthop Relat Res 355S: S116–S123
Bruder S, Scaduto T (2005) Cell-based strategies for bone regeneration: from developmental biology to clinical therapy. In: bone regeneration and repair. Humana Press, pp 67–92. doi: 10.1385/1-59259-863-3:067
Carter D, Beaupré G, Giori N, Helms J (1998) Mechanobiology of skeletal regeneration. Clin Orthop Relat Res 3558: S41–S55
Checa S, Prendergast P (2008) A mechanobiological model for tissue differentiation that includes angiogenesis: a lattice-based modeling approach. Ann Biomed Engin 37(1): 129–145
Chen G, Niemeyer F, Wehner T, Simon U, Schuetz M, Pearcy M, Claes L (2009) Simulation of the nutrient supply in fracture healing. J Biomech 42(15): 2575–2583
Claes L, Heigele C (1999) Magnitudes of local stress and strain along bony surfaces predict the course and type of fracture healing. J Biomech 32(3): 255–266
Colnot C, Thompson Z, Miclau T, Werb Z, Helms J (2003) Altered fracture repair in the absence of MMP9. Development 130: 4123–4133
De Smet F, Segura I, De Bock K, Hohensinner P, Carmeliet P (2009) Mechanisms of vessel branching. Arter Thromb Vasc Biol 29: 639–649. doi: 10.1161/ATVBAHA.109.185165
Dimitriou R, Tsiridis E, Giannoudis P (2005) Current concepts of molecular aspects of bone healing. Injury 36(12): 1392–1404
Duvall C, Taylor W, Weiss D, Wojtowicz A, Guldberg R (2007) Impaired angiogenesis, early callus formation, and late stage remodeling in fracture healing of osteopontin-deficient mice. J Bone Miner Res 22(2): 286–297
Fiedler J, Etzel N, Brenner R (2004) To go or not to go: migration of human mesenchymal progenitor cells stimulated by isoforms of PDGF. J Cell Biomech 93: 990–998
Fiedler J, Leucht F, Waltenberger J, Dehio C, Brenner R (2005) VEGF-A and PlGF-1 stimulate chemotactic migration of human mesenchymal progenitor cells. Biochem Biophys Res Comm 334: 561–568
Geris L, Gerisch A, Vander Sloten J, Weiner R, Van Oosterwyck H (2008) Angiogenesis in bone fracture healing: a bioregulatory model. J Theor Biol 25: 137–158
Geris L, Vander Sloten J, Van Oosterwyck H (2010) Connecting biology and mechanics in fracture healing: an integrated mathematical modeling framework for the study of nonunions. Biomech Model Mechanobio. doi: 10.1007/s10237-010-0208-8
Gerisch A, Chaplain M (2006) Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems. Math Comput Model 43: 49–75
Gerisch A, Geris L (2007) Advances in mathematical modeling of biological systems, vol 1, Deutsch A, Brusch L, Byrne H, de Vries G, Herzel H-P, Boston, chap A finite volume spatial discretisation for taxis-diffusion-reaction systems with axi-symmetry: application to fracture healing. pp 303–316
Gerstenfeld L, Cullinane D, Barnes G, Graves D, Einhorn T (2003) Fracture healing as a post-natal developmental proces: molecular, spatial, and temporal aspects of its regulations. J Cell Biochem 88: 873–884
Harrison L, Cunningham F, Srömberg L, Goodship A (2003) Controlled induction of a pseudarthrosis: a study using a rodent model. J Orthop Trauma 17: 11–21
Hirao M, Tamai N, Tsumaki N, Yoshikawa H, Myoui A (2006) Oxygen tension regulates chondrocyte differentiation and function during endochondral ossification. J Biol Chem 291(41): 31,079–31,092
Lind M, Eriksen E, Bunger C (1996) Bone morphogenetic protein-2 but not bone morphogenetic protein-4 and 6 stimulates chemotactic migration of human osteoblasts, human marrow osteoblasts and U2-OS cells. Bone 18: 53–57
MacDougall J, McCabe M (1967) Diffusion coefficient of oxygen through tissues. Nature 215: 1173–1174
Marsh D (1998) Concepts of fraction union, delayed union, and nonunion. Clin Orthop Relat Res S355: S22–S30
Mayer H, Bertram H, Lindenmaier W, Korff T, Weber H, Weich H (2005) Vascular endothelial growth factor (VEGF-A) expression in human mesenchymal stem cells: autocrine and paracrine role on osteoblastic and endothelial differentiation. J Cell Biochem 95: 827–839
Metheny-Barlow L, Tian S, Hayes A, Li L (2004) Direct chemotactic action of angiopoietin-1 on mesenchymal cells in the presence of VEGF. Microvasc Res 68: 221–230
Midy V, Plouet J (1994) Vasculotropin/vascular endothelial growth factor induces differentiation in cultured osteoblasts. Biochem Biophys Res Comm 199: 380–386
Milde F, Bergdorf M, Koumoutsakos P (2008) A hybrid model for three-dimensional simulations of sprouting angiogenesis. Biophys J 95: 3146–3160
Olsen L, Sherratt J, Maini P, Arnold F (1997) A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis. IMA J Math Appl Med Biol 14: 261–281
Qutub A, Popel A (2009) Elongation, proliferation & migration differentiate endothelial cell phenotypes and determine capillary sprouting. BMC Syst Biol 3(13). doi: 10.1186/1752-0509-3-13
Ryser M, Nigam N, Komarova S (2009) Mathematical modeling of spatio-temporal dynamics of a single bone multicellular unit. J Bone Miner Res 24(5): 860–870
Seeherman H, Li R, Wozney J (2003) A review of preclinical program development for evaluating injectable carriers for osteogenic factors. J Bone Joint Surg 85: 96–108
Shefelbine S, Augat P, Claes L, Simon U (2005) Trabecular bone fracture healing simulation with finite element analysis and fuzzy logic. J Biomech 38(12): 2440–2450
Sherrat J (1994) Chemotaxis and chemokinesis in eukaryotic cells: the keller-segel equations as an approximation to a detailed model. Bull Math Biol 56: 129–146
Street J, Bao M, deGuzman L, Bunting S, Peale FJ, Ferrara N, Steinmetz H, Hoeffel J, Cleland J, Daugherty A, van Bruggen N, Redmond H, Carano R, Filvaroff E (2002) Vascular endothelial growth factor stimulates bone repair by promoting angiogenesis and bone turnover. PNAS 99(15): 9656–9661
Sun S, Wheeler M, Obeyesekere M, Patrick CJ (2005) A deterministic model of growth factor-induced angiogenesis. Bull Math Biol 67: 313–337
Taguchi K, Ogawa R, Migata M, Hanawa H, Ito H, Orimo H (2005) The role of bone marrow-derived cells in bone fracture repair in a green fluorescent protein chimeric mouse model. Biochem Biophys Res Comm 331: 31–36
Weinberg C, Bell E (1985) Regulation of proliferation of bovine aortic endothelial cells, smooth muscle cells and adventitial fibroblasts in collagen lattices. J Cell Physiol 122: 410–414
Weiner R, Schmitt B, Podhaisky H (1997) ROWMAP—a ROW-code with Krylov techniques for large stiff ODEs. Appl Numer Math 25: 303–319