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Articles

A superellipsoid-plane model for simulating foot-ground contact during human gait

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Pages 954-963 | Received 21 Oct 2014, Accepted 05 Aug 2015, Published online: 01 Sep 2015

References

  • Abdel-Rahman EM, Hefzy MS. 1998. Three-dimensional dynamic behaviour of the human knee joint under impact loading. Med Eng Phys. 20:276–290.10.1016/S1350-4533(98)00010-1
  • Aerts P, Clercq D. 1993. Deformation characteristics of the heel region of the shod foot during a simulated heel strike: the effect of varying midsole hardness. J Sports Sci. 11:449–461.10.1080/02640419308730011
  • Anderson FC, Pandy MG. 1999. A dynamic optimization solution for vertical jumping in three dimensions. Comput Methods Biomech Biomed Eng. 2:201–231.10.1080/10255849908907988
  • Anderson FC, Pandy MG. 2003. Individual muscle contributions to support in normal walking. Gait Posture. 17:159–169.10.1016/S0966-6362(02)00073-5
  • Barr AH. 1981. Superquadrics and angle-preserving transformations. IEEE Comput Graph Appl. 1:11–23.10.1109/MCG.1981.1673799
  • Boos M, McPhee J. 2013. Volumetric modeling and experimental validation of normal contact dynamic forces. J Comput Nonlinear Dyn. 8:021006.
  • Brogliato B. 2014. Kinetic quasi-velocities in unilaterally constrained Lagrangian mechanics with impacts and friction. Multibody Syst Dyn. 32:175–216.10.1007/s11044-013-9392-5
  • Cole GK, Nigg BM, van den Bogert AJ, Gerritsen KGM. 1996. Lower extremity joint loading during impact in running. Clinical Biomechanics. 11:181–193.10.1016/0268-0033(96)00008-3
  • Davy DT, Audu ML. 1987. A dynamic optimization technique for predicting muscle forces in the swing phase of gait. J Biomech. 20:187–201.10.1016/0021-9290(87)90310-1
  • Delp SL, Loan JP, Hoy MG, Zajac FE, Topp EL, Rosen JM. 1990. An interactive graphics-based model of the lower extremity to study orthopaedic surgical procedures. IEEE Trans Biomed Eng. 37:757–767.10.1109/10.102791
  • Dorn TW, Lin Y-C, Pandy MG. 2012. Estimates of muscle function in human gait depend on how foot-ground contact is modelled. Comput Methods Biomech Biomed Eng. 15:657–668.10.1080/10255842.2011.554413
  • Fey NP, Klute GK, Neptune RR. 2012. Optimization of prosthetic foot stiffness to reduce metabolic cost and intact knee loading during below-knee amputee walking: a theoretical study. J Biomech Eng. 134:111005.10.1115/1.4007824
  • García-Aznar JM, Bayod J, Rosas A, Larrainzar R, García-Bógalo R, Doblaré M, Llanos LF. 2009. Load transfer mechanism for different metatarsal geometries: a finite element study. J Biomech Eng. 131:021011.
  • Goffe WL, Ferrier GD, Rogers J. 1994. Global optimization of statistical functions with simulated annealing. J Econom. 60:65–99.10.1016/0304-4076(94)90038-8
  • Güler HC, Berme N, Simon SR. 1998. A viscoelastic sphere model for the representation of plantar soft tissue during simulations. J Biomech. 31:847–853.10.1016/S0021-9290(98)00085-2
  • Hall AL, Peterson CL, Kautz SA, Neptune RR. 2011. Relationships between muscle contributions to walking subtasks and functional walking status in persons with post-stroke hemiparesis. Clin Biomech ( Bristol, Avon). 26:509–515.10.1016/j.clinbiomech.2010.12.010
  • Hamner SR, Seth A, Steele KM, Delp SL. 2013. A rolling constraint reproduces ground reaction forces and moments in dynamic simulations of walking, running, and crouch gait. J Biomech. 46:1772–1776.10.1016/j.jbiomech.2013.03.030
  • Johnson KL. 1985. Contact mechanics. Cambridge University Press.10.1017/CBO9781139171731
  • Kecskeméthy A. 2011. A novel cylinder-plane foot contact model for human gait motion reproduction. Proceedings of multibody dynamics 2011, ECCOMAS thematic conference; July 4–7, Brussels.
  • Koop D, Wu CQ. 2013. Passive dynamic biped walking – Part I: development and validation of an advanced model. J Comput Nonlinear Dyn. 8:041007.10.1115/1.4023934
  • Lin Y-C, Kim HJ, Pandy MG. 2011. A computationally efficient method for assessing muscle function during human locomotion. Int J Numer Method Biomed Eng. 27:436–449.10.1002/cnm.1396
  • Lopes DS, Silva MT, Ambrósio JA, Flores P. 2010. A mathematical framework for rigid contact detection between quadric and superquadric surfaces. Multibody Syst Dyn. 24:255–280.10.1007/s11044-010-9220-0
  • Lugrís U, Carlín J, Pàmies-Vilà R, Font-Llagunes JM, Cuadrado J. 2013. Solution methods for the double-support indeterminacy in human gait. Multibody System Dynamics. 30:247–263.10.1007/s11044-013-9363-x
  • MADYMO®. 2012. Design, simulate and virtual testing. Applications manual, Version 7.4.1, TASS.
  • Mahboobin A, Cham R, Piazza SJ. 2010. The impact of a systematic reduction in shoe–floor friction on heel contact walking kinematics – a gait simulation approach. J Biomech. 43:1532–1539.10.1016/j.jbiomech.2010.01.040
  • McGowan CP, Kram R, Neptune RR. 2009. Modulation of leg muscle function in response to altered demand for body support and forward propulsion during walking. J Biomech. 42:850–856.10.1016/j.jbiomech.2009.01.025
  • Millard M, McPhee J, Kubica E. 2009. Multi-step forward dynamic gait simulation. In: Bottasso CL, editor. Multibody dynamics: computational methods and applications. Springer; p. 25–43.
  • Neptune RR, Hull ML. 1998. Evaluation of performance criteria for simulation of submaximal steady-state cycling using a forward dynamic model. J Biomech Eng. 120:334–341.10.1115/1.2797999
  • Neptune RR, Wright IC, van den Bogert AJ. 2000. A method for numerical simulation of single limb ground contact events: application to heel-toe running. Comput Methods Biomech Biomed Eng. 3:321–334.10.1080/10255840008915275
  • Nikravesh P. 1988. Computer-aided analysis of mechanical systems. Englewood Cliffs (NJ): Prentice Hall.
  • Pasciuto I, Ausejo S, Celigüeta JT, Suescun A, Cazón A. 2014. A hybrid dynamic motion prediction method for multibody digital human models based on a motion database and motion knowledge. Multibody Syst Dyn. 32:27–53.10.1007/s11044-013-9395-2
  • Peasgood M, Kubica E, McPhee J. 2007. Stabilization of a dynamic walking gait simulation. J Comput Nonlinear Dyn. 2:65–72.10.1115/1.2389230
  • Raasch CC, Zajac FE, Ma B, Levine WS. 1997. Muscle coordination of maximum-speed pedaling. J Biomech. 30:595–602.10.1016/S0021-9290(96)00188-1
  • Sasaki K, Neptune RR, Burnfield JM, Mulroy SJ. 2008. Muscle compensatory mechanisms during able-bodied toe walking. Gait Posture. 27:440–446.10.1016/j.gaitpost.2007.05.012
  • Silverman AK, Fey NP, Portillo A, Walden JG, Bosker G, Neptune RR. 2008. Compensatory mechanisms in below-knee amputee gait in response to increasing steady-state walking speeds. Gait Posture. 28:602–609.10.1016/j.gaitpost.2008.04.005
  • Weisstein EW. 2013. Point-plane distance. From MathWorld – A Wolfram web resource. http://mathworld.wolfram.com/Point-PlaneDistance.html.
  • Wellmann C, Lillie C, Wriggers P. 2008. A contact detection algorithm for superellipsoids based on the common‐normal concept. Eng Comput. 25:432–442.10.1108/02644400810881374
  • Wilson DR, O’Connor JJ. 1997. A three-dimensional geometric model of the knee for the study of joint forces in gait. Gait Posture. 5:108–115.10.1016/S0966-6362(96)01080-6
  • Winters JM, Stark L. 1988. Estimated mechanical properties of synergistic muscles involved in movements of a variety of human joints. J Biomech. 21:1027–1041.10.1016/0021-9290(88)90249-7

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