SEARCH

SEARCH BY CITATION

References

  • 1
    Mandelbrot BB 1982 The Fractal Geometry of Nature. W. H. Freeman, San Francisco, CA, USA.
  • 2
    Cundy T 2003 Idiopathic hyperphosphatasia-genotype and phenotype. International Conference on Metabolic Diseases, ANZBMS 13th Annual Scientific Meeting in conjunction with IBMS, Hyatt Regency Coolum, June 10–13, 2003, Queensland, Australia, p. 38.
  • 3
    Cundy T, Hegde M, Naot D, Chong B, King A, Wallace R, Mulley J, Love DR, Seidel J, Fawkner M, Banovic T, Callon KE, Grey AB, Reid IR, Middleton-Hardie CA, Cornish J 2002 A mutation in the gene TNFRSF11B encoding osteoprotegerin causes an idiopathic hyperphosphatasia phenotype. Hum Mol Genet 11:21192127.
  • 4
    Stemmerman GN 1966 An histological and histochemical study of familial osteoectasia (chronic idiopathic hyperphosphatasia). Am J Pathol 48:641651.
  • 5
    Mitsudo SM 1971 Chronic idiopathic hyperphosphatasia associated with pseudoxanthoma elasticum. J Bone Joint Surg Am 53:303314.
  • 6
    Schroedinger E 1944 What Is Life? Cambridge University Press, Cambridge, UK.
  • 7
    Glandsdorff P, Prigogine I 1971 Thermodynamic Theory of Structure, Stability and Fluctuations. Wiley, New York, NY, USA.
  • 8
    Nicolis G, Prigogine I 1977 Self-Organization in Nonequilibrium Systems. Wiley, New York, NY, USA.
  • 9
    Backhaus U, Schlichting HJ 1987 Regular and chaotic oscillations of a rotating pendulum. In: MarxG (ed.) Chaos in Education II. Vesprem, Hungary. University of Munster, Munster, Germany, pp. 312317.
  • 10
    Walgraef D 1997 Spatio-Temporal Pattern Formation. Springer, New York, NY, USA.
  • 11
    Cross MC, Hohenberg PC 1993 Pattern formation outside of equilibrium. Rev Mod Phys 65:8511112.
  • 12
    Lai Y-C, Grebogi C 1996 Complexity in Hamiltonian-driven dissipative chaotic dynamical systems. Phys Rev E Stat Nonlin Soft Matter Phys 54:46674675.
  • 13
    Bertram M 2002 Controlling turbulence and pattern formation in chemical reactions. Ph.D. dissertation, Mathematik und Naturwissenschaften der Technischen Universit, Berlin, Germany.
  • 14
    Rugiero P, Kaminsky G, Plant NG 1999 Coastal morphologic variability of high energy dissipative beaches. In: Edge BE (ed.) Proceedings of the 26th International Conference Coastal Engineering. ASCE, Copenhagen, Denmark, pp. 32383251.
  • 15
    Chappard D, Legrand E, Haettich B, Chales G, Auvinet B, Eschard JP, Hamelin JP, Basle MF, Audran M 2001 Fractal dimension of trabecular bone: Comparison of three histomorphometric computed techniques for measuring the architectural two-dimensional complexity. J Pathol 195:515521.
  • 16
    Mawatari T, Miura H, Higaki H, Kurata K, Moro-oka T, Murakami T, Iwamoto Y 1999 Quantitative analysis of three-dimensional complexity and connectivity changes in trabecular microarchitecture in relation to aging, menopause, and inflammation. J Orthop Sci 4:431438.
  • 17
    Langton CM, Whitehead MA, Haire TJ, Hodgskinson R 1998 Fractal dimension predicts broadband ultrasound attenuation in stereolithography models of cancellous bone. Phys Med Biol 43:467471.
  • 18
    Petrov V, Ouyang Q, Swinney HL 1997 Resonant pattern formation in a chemical system. Nature 388:655657.
  • 19
    Lin AL, Bertram M, Martinez K, Swinney HL, Ardelea A, Carey GF 2000 Resonant phase patterns in a reaction-diffusion system. Phys Rev Lett 84:42404243.
  • 20
    Vanag VK, Zhabotinsky AM, Epstein IR 2001 Oscillatory clusters in the periodically illuminated, spatially extended Belousov-Zhabotinsky reaction. Phys Rev Lett 86:552555.
  • 21
    Turing AM 1952 The chemical basis of morphogenesis. Philos Trans R Soc Lond B Biol Sci 237:3772.
  • 22
    Castets V, Dulos E, Boissonade J, de Kepper P 1990 Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern. Phys Rev Lett 64:29532956.
  • 23
    Ouyang Q, Swinney HL 1991 Transition from a uniform state of hexagonal and striped Turing patterns. Nature 352:610612.
  • 24
    Odgaard A 1997 Three-dimensional methods for quantification of cancellous bone architecture. Bone 20:315328.
  • 25
    Ulrich D, van Rietbergen B, Laib A, Rüegsegger P 1999 The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone. Bone 25:5560.
  • 26
    Eiswirth M, Ertl G 1988 Forced oscillations of a self-oscillating surface reaction. Phys Rev Lett 60:15261529.
  • 27
    Eiswirth M, Krischer K, Ertl G 1988 Transition to chaos in an oscillating surface reaction. Surf Sci 202:565591.
  • 28
    Pollmann M, Bertram M, Rotermund HH 2001 Influence of time delayed global feedback on pattern formation in oscillatory CO oxidation on Pt(110). Chem Phys Lett 346:123128.
  • 29
    Meyer CW, Ahlers G, Cannell DS 1991 Stochastic influences on pattern formation in Rayleigh-Benard convection: Ramping experiments. Phys Rev A 44:25142537.
  • 30
    Kong YY, Yoshida H, Sarosi I, Tan HL, Timms E, Capparelli C, Morony S, Oliveira-dos-Santos AJ, Van G, Itie A, Khoo W, Wakeham A, Dunstan CR, Lacey DL, Mak TW, Boyle WJ, Penninger JM 1999 OPGL is a key regulator of osteoclastogenesis, lymphocyte development and lymph-node organogenesis. Nature 397:315323.
  • 31
    Takahashi N, Udagawa N, Suda T 1999 A new member of tumor necrosis factor ligand family, ODF/OPGL/TRANCE/RANKL, regulates osteoclast differentiation and function. Biochem Biophys Res Commun 256:449455.
  • 32
    Khosla S 2001 Minireview: The OPG/RANKL/RANK system. Endocrinology 142:50505055.
  • 33
    Whyte MP, Obrecht SE, Finnegan PM, Jones JL, Podgornik MN, McAlister WH, Mumm S 2002 Osteoprotegerin deficiency and Juvenile Paget's Disease. N Engl J Med 347:175184.
  • 34
    Cundy T, Wheadon L, King A 2004 Treatment of idiopathic hyperphosphatasia with intensive bisphosphonate therapy. J Bone Miner Res 19:703712.
  • 35
    International Commission on Radiological Protection 1995 Publication 70, Radiation protection basic anatomical and physiological data. Report of the task group of the committee. In: SmithH (ed.) Annals of ICRP, Vol. 25. Pergamon Press, Oxford, UK, p. 35.
  • 36
    Gori F, Hofbauer LC, Dunstan CR, Spelsberg TC, Khosla S, Riggs BL 2000 The expression of osteoprotegerin and RANK ligand and the support of osteoclast formation by stromal-osteoblast lineage cells is developmental regulated. Endocrinology 141:47684776.
  • 37
    Bucay N, Sarosi I, Dunstan CR, Morony S, Tarpley J, Capparelli C, Scully S, Tan HL, Xu W, Lacey DL, Boyle WJ, Simonet WS 1998 Osteoprotegerin-deficient mice develop early onset osteoporosis and arterial calcification. Genes Dev 12:12601268.
  • 38
    Heaney RP 2003 Is the paradigm shifting? Bone 33:457465.
  • 39
    Recker RR 2003 Transmenopausal and age-related changes in bone remodelling. Proceedings of the 33rd International Sun Valley Hard Tissue Workshop. Sun Valley, Idaho, USA.
  • 40
    Recker RR, Lappe JM, Davies M, Heaney RP 2003 Transmenopausal changes in activation frequency. J Bone Miner Res 18:S2;S298S299.