Modelling and simulation of the intervertebral movements of the lumbar spine using an inverse kinematic algorithm

Med Biol Eng Comput. 2004 Nov;42(6):740-6. doi: 10.1007/BF02345206.

Abstract

An inverse kinematic model is presented that was employed to determine the optimum intervertebral joint configuration for a given forward-bending posture of the human trunk. The lumbar spine was modelled as an open-end, kinematic chain of five links that represented the five vertebrae (L 1-L5). An optimisation equation with physiological constraints was employed to determine the intervertebral joint configuration. Intervertebral movements were measured from sagittal X-ray films of 22 subjects. The mean difference between the X-ray measurements of intervertebral rotations in the sagittal plane and the values predicted by the kinematic model was less than 1.6 degrees. Pearson product-moment correlation R was used to measure the relationship between the measured and predicted values. The R-values were found to be high, ranging from 0.83 to 0.97, for prediction of intervertebral rotation, but poor for intervertebral translation (R= 0.08-0.67). It is concluded that the inverse kinematic model will be clinically useful for predicting intervertebral rotation when X-ray or invasive measurements are undesirable. It will also be useful to biomechanical modelling, which requires accurate kinematic information as model input data.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms
  • Biomechanical Phenomena
  • Humans
  • Joints / physiology
  • Lumbar Vertebrae / diagnostic imaging
  • Lumbar Vertebrae / physiology*
  • Mathematics
  • Models, Biological
  • Movement / physiology*
  • Posture / physiology
  • Radiography
  • Robotics
  • Rotation