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Original Articles

Simulation of biological growth

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Pages 617-626 | Received 28 Oct 2008, Accepted 07 Feb 2009, Published online: 17 Mar 2009

References

  • Bagnall , K and Rajwani , T . 2004 . “ The aetiology of adolescent idiopathic scoliosis ” . In International research society of spinal deformities Edited by: Sawatzky , B. 103 – 106 . Amsterdam, The Netherlands: Symposium IOS Press
  • Carter , DR . 1982 . “ The relationships between in vivo bone stresses and cortical bone remodeling ” . In CRC critical reviews in bioengineering, Vol. 8 , Edited by: Bourne , JR . 1 – 28 . Boca Raton : CRC Press .
  • Carter , DR and Beaupré , GS . 2001 . Skeletal function and form – mechanobiology of skeletal development, aging and regeneration , Cambridge : Cambridge University Press .
  • Epstein , M and Maugin , MA . 2000 . Thermomechanics of volumetric growth in uniform bodies . Int J Plast , 16 : 951 – 978 .
  • Epstein , M and Elzanowski , M . 2007 . “ Material inhomogeneities and their evolution: a geometric approach ” . In Interaction of mechanics and mathematics , Berlin/Heidelberg/New York : Springer .
  • Eshelby , JD . 1975 . The elastic energy-momentum tensor . J Elasti , 5 ( 3–5 ) : 321 – 335 .
  • Fung , YC . 1990 . Biomechanics – motion, flow, stress, and growth , Berlin/Heidelberg/New York : Springer Verlag .
  • Fung , YC . 1993 . Biomechanics – mechanical properties of living tissues , 2nd ed , Berlin/Heidelberg/New York : Springer Verlag .
  • Huiskes , R , Ruimerman , R , van Lenthe , GH and Janssen , JD . 2000 . Effects of mechanical forces on maintenance and adaptation of form in trabecular bone . Nature , 405 ( 8 ) : 704 – 706 .
  • Humphrey , JD . 2002 . Cardiovasular solid mechanics , Berlin/Heidelberg/New York : Springer Verlag .
  • Kühn , W and Hauger , W . 2000 . A theory of adaptive growth of biological materials . Arch Appl Mech , 70 : 183 – 192 .
  • Mikić , B and Carter , DR . 1995 . Bone strain gage data and theoretical models of functional adaptation . J Biomech , 28 : 465 – 469 .
  • Morein , G , Goldgefter , L , Kobyliansky , E , Goldschmidt-Nathan , M and Nathan , H . 1978 . Changes in the mechanical properties of rat tail tendon during postnatal ontogenesis . Anat Embryol , 154 : 121 – 124 .
  • Nakagawa , Y , Hayashi , K , Yamamoto , N and Nagashima , K . 1996 . Age-related changes in biomechanical properties of the Achilles tendon in rabbits . Eur J Appl Physiol , 73 : 7 – 10 .
  • Pirpiris , M , Jackson , KR , Farng , E , Bowen , RE and Otsuka , NY . 2006 . Body mass index and blount disease . J Pediatr Orthop , 26 ( 5 ) : 659 – 663 .
  • Ramasubramanian , A , Latacha , KS , Benjamin , J , Voronov , DA , Ravi , A and Taber , LA . 2007 . Computational model for early cardiac looping . Ann Biomed Eng , 34 : 1355 – 1369 .
  • Reich , A , Jaffe , N , Tong , A , Lavelin , I , Genina , O , Pines , M , Sklan , D , Nssinovitch , A and Monsonego-Ornan , E . 2005 . Weight loading young chicks inhibits bone elongation and promotes growth plate ossification and vascularisation . J Appl Physiol , 98 : 2381 – 2389 .
  • Robling , AG , Hinant , FM , Burr , DB and Turner , CH . 2002 . Improved bone structure and strength after long-term mechanical loading is greatest if loading is separated into short bouts . J Bone Miner Res , 17 ( 8 ) : 1545 – 1554 .
  • Rodriguez , EK , Hoger , A and McCulloch , AD . 1994 . Stress-dependent finite growth in soft elastic tissues . J Biomech , 27 : 455 – 467 .
  • Rubin , C , Turner , SA , Bain , S , Mallinckrodt , C and McLeod , K . 2001 . Low mechanical signals strengthen long bones . Nature , 412 : 603 – 604 .
  • Sah , RL , Grodzinsky , AJ , Plaas , AHK and Sandy , JD . 1992 . “ Effects of static and dynamic compression on matrix metabolism in cartilage explants ” . In Articular cartilage and osteoarthritis , Edited by: Kuettner , K , Peyron , JG , Schleyerback , R and Hascall , VC . 373 – 392 . New York, NY : Raven Press .
  • Spurrier , D , Cook , J and Bass , S . 2006 . Does weight training negatively effect longitudinal bone growth in children? . J Sci Med Sport , 9 (1 suppl) : 41
  • Taber , LA . 1995 . Biomechanics of growth, remodeling and morphogenesis . ASME Appl Mech Rev , 48 : 487 – 545 .
  • Wren , TAL , Beaupré , GS and Carter , DR . 1998 . A model for loading-dependent growth, development, and adaptation of tendons and ligaments . J Biomech , 31 : 107 – 114 .
  • Wu , JZ , Herzog , W and Epstein , M . 1999 . Modeling of location- and time-dependent deformation of chondrocytes during cartilage loading . J Biomech , 32 : 563 – 572 .

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