An optimization-based method for prediction of lumbar spine segmental kinematics from the measurements of thorax and pelvic kinematics
Summary Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements of total lumbar kinematics. Recent imaging studies suggested distribution of lumbar kinematics across its vertebrae changes with trunk rotati...
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| Published in: | International journal for numerical methods in biomedical engineering Vol. 31; no. 12 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
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England
Blackwell Publishing Ltd
01.12.2015
Wiley Subscription Services, Inc |
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| ISSN: | 2040-7939, 2040-7947, 2040-7947 |
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| Abstract | Summary
Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements of total lumbar kinematics. Recent imaging studies suggested distribution of lumbar kinematics across its vertebrae changes with trunk rotation, lumbar posture, and presence of load. An optimization‐based method is presented and validated in this study to predict segmental kinematics from measured total lumbar kinematics. Specifically, a kinematics‐driven biomechanical model of the spine is used in a heuristic optimization procedure to obtain a set of segmental kinematics that, when prescribed to the model, were associated with the minimum value for the sum of squared predicted muscle stresses across all the lower back muscles. Furthermore, spinal loads estimated using the predicted kinematics by the present method were compared with those estimated using constant ratios. Predicted segmental kinematics were in good agreement with those obtained by imaging with an average error of ~10%. Compared with those obtained using constant ratios, predicted spinal loads using segmental kinematics obtained here were in general smaller. In conclusion, the proposed method offers an alternative tool for improving model‐based estimates of spinal loads where image‐based measurement of lumbar kinematics is not feasible. Copyright © 2015 John Wiley & Sons, Ltd.
Distribution of lumbar kinematics across its vertebrae changes with task, load, and posture, therefore raising a concern related to such distribution using constant ratios. A biomechanical model of spine is used in an optimization procedure to predict a distribution of lumbar segmental kinematics, which is associated with the minimum level of stress among all trunk muscles. Predicted kinematics were in good agreement with those obtained by imaging, and spinal loads were smaller than those obtained by constant ratios. |
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| AbstractList | Summary
Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements of total lumbar kinematics. Recent imaging studies suggested distribution of lumbar kinematics across its vertebrae changes with trunk rotation, lumbar posture, and presence of load. An optimization‐based method is presented and validated in this study to predict segmental kinematics from measured total lumbar kinematics. Specifically, a kinematics‐driven biomechanical model of the spine is used in a heuristic optimization procedure to obtain a set of segmental kinematics that, when prescribed to the model, were associated with the minimum value for the sum of squared predicted muscle stresses across all the lower back muscles. Furthermore, spinal loads estimated using the predicted kinematics by the present method were compared with those estimated using constant ratios. Predicted segmental kinematics were in good agreement with those obtained by imaging with an average error of ~10%. Compared with those obtained using constant ratios, predicted spinal loads using segmental kinematics obtained here were in general smaller. In conclusion, the proposed method offers an alternative tool for improving model‐based estimates of spinal loads where image‐based measurement of lumbar kinematics is not feasible. Copyright © 2015 John Wiley & Sons, Ltd.
Distribution of lumbar kinematics across its vertebrae changes with task, load, and posture, therefore raising a concern related to such distribution using constant ratios. A biomechanical model of spine is used in an optimization procedure to predict a distribution of lumbar segmental kinematics, which is associated with the minimum level of stress among all trunk muscles. Predicted kinematics were in good agreement with those obtained by imaging, and spinal loads were smaller than those obtained by constant ratios. Summary Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements of total lumbar kinematics. Recent imaging studies suggested distribution of lumbar kinematics across its vertebrae changes with trunk rotation, lumbar posture, and presence of load. An optimization-based method is presented and validated in this study to predict segmental kinematics from measured total lumbar kinematics. Specifically, a kinematics-driven biomechanical model of the spine is used in a heuristic optimization procedure to obtain a set of segmental kinematics that, when prescribed to the model, were associated with the minimum value for the sum of squared predicted muscle stresses across all the lower back muscles. Furthermore, spinal loads estimated using the predicted kinematics by the present method were compared with those estimated using constant ratios. Predicted segmental kinematics were in good agreement with those obtained by imaging with an average error of ~10%. Compared with those obtained using constant ratios, predicted spinal loads using segmental kinematics obtained here were in general smaller. In conclusion, the proposed method offers an alternative tool for improving model-based estimates of spinal loads where image-based measurement of lumbar kinematics is not feasible. Copyright © 2015 John Wiley & Sons, Ltd. Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements of total lumbar kinematics. Recent imaging studies suggested distribution of lumbar kinematics across its vertebrae changes with trunk rotation, lumbar posture, and presence of load. An optimization‐based method is presented and validated in this study to predict segmental kinematics from measured total lumbar kinematics. Specifically, a kinematics‐driven biomechanical model of the spine is used in a heuristic optimization procedure to obtain a set of segmental kinematics that, when prescribed to the model, were associated with the minimum value for the sum of squared predicted muscle stresses across all the lower back muscles. Furthermore, spinal loads estimated using the predicted kinematics by the present method were compared with those estimated using constant ratios. Predicted segmental kinematics were in good agreement with those obtained by imaging with an average error of ~10%. Compared with those obtained using constant ratios, predicted spinal loads using segmental kinematics obtained here were in general smaller. In conclusion, the proposed method offers an alternative tool for improving model‐based estimates of spinal loads where image‐based measurement of lumbar kinematics is not feasible. Copyright © 2015 John Wiley & Sons, Ltd. Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements of total lumbar kinematics. Recent imaging studies suggested distribution of lumbar kinematics across its vertebrae changes with trunk rotation, lumbar posture, and presence of load. An optimization-based method is presented and validated in this study to predict segmental kinematics from measured total lumbar kinematics. Specifically, a kinematics-driven biomechanical model of the spine is used in a heuristic optimization procedure to obtain a set of segmental kinematics that, when prescribed to the model, were associated with the minimum value for the sum of squared predicted muscle stresses across all the lower back muscles. Furthermore, spinal loads estimated using the predicted kinematics by the present method were compared with those estimated using constant ratios. Predicted segmental kinematics were in good agreement with those obtained by imaging with an average error of ~10%. Compared with those obtained using constant ratios, predicted spinal loads using segmental kinematics obtained here were in general smaller. In conclusion, the proposed method offers an alternative tool for improving model-based estimates of spinal loads where image-based measurement of lumbar kinematics is not feasible.Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements of total lumbar kinematics. Recent imaging studies suggested distribution of lumbar kinematics across its vertebrae changes with trunk rotation, lumbar posture, and presence of load. An optimization-based method is presented and validated in this study to predict segmental kinematics from measured total lumbar kinematics. Specifically, a kinematics-driven biomechanical model of the spine is used in a heuristic optimization procedure to obtain a set of segmental kinematics that, when prescribed to the model, were associated with the minimum value for the sum of squared predicted muscle stresses across all the lower back muscles. Furthermore, spinal loads estimated using the predicted kinematics by the present method were compared with those estimated using constant ratios. Predicted segmental kinematics were in good agreement with those obtained by imaging with an average error of ~10%. Compared with those obtained using constant ratios, predicted spinal loads using segmental kinematics obtained here were in general smaller. In conclusion, the proposed method offers an alternative tool for improving model-based estimates of spinal loads where image-based measurement of lumbar kinematics is not feasible. Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements of total lumbar kinematics. Recent imaging studies suggested distribution of lumbar kinematics across its vertebrae changes with trunk rotation, lumbar posture, and presence of load. An optimization-based method is presented and validated in this study to predict segmental kinematics from measured total lumbar kinematics. Specifically, a kinematics-driven biomechanical model of the spine is used in a heuristic optimization procedure to obtain a set of segmental kinematics that, when prescribed to the model, were associated with the minimum value for the sum of squared predicted muscle stresses across all the lower back muscles. Furthermore, spinal loads estimated using the predicted kinematics by the present method were compared with those estimated using constant ratios. Predicted segmental kinematics were in good agreement with those obtained by imaging with an average error of ~10%. Compared with those obtained using constant ratios, predicted spinal loads using segmental kinematics obtained here were in general smaller. In conclusion, the proposed method offers an alternative tool for improving model-based estimates of spinal loads where image-based measurement of lumbar kinematics is not feasible. |
| Author | Arjmand, N. Shojaei, I. Bazrgari, B. |
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| Keywords | lumbar spine spinal loads optimization-based method kinematics-driven method |
| Language | English |
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year: 1991 end-page: 571 article-title: Functional radiographic diagnosis of the lumbar spine: flexion–extension and lateral bending publication-title: Spine – volume: 16 start-page: 687 issue: 5 year: 2007 end-page: 699 article-title: Analysis of squat and stoop dynamic liftings: muscle forces and internal spinal loads publication-title: European Spine Journal – volume: 26 start-page: 1836 year: 2009 end-page: 1855 article-title: Eigenvalues of the adjacency and Laplacian matrices for modified regular structural models publication-title: International Journal for Numerical Methods in Biomedical Engineering – volume: 21 start-page: 59 issue: 1 year: 1988 end-page: 66 article-title: Biomechanical model calculation of muscle contraction forces: a double linear programming method publication-title: Journal of Biomechanics – volume: 11 start-page: 1 issue: 1 year: 1996 end-page: 15 article-title: Mechanical stability of the lumbar spine: implications for injury and chronic low back pain publication-title: Clinical Biomechanics – volume: 9 start-page: 91 issue: 1 year: 1991 end-page: 103 article-title: Electromyographic activity of the abdominal and low back musculature during the generation of isometric and dynamic axial trunk torque: implications for lumbar mechanics publication-title: Journal of Orthopaedic Research – volume: 25 start-page: 1932 issue: 15 year: 2000 end-page: 1937 article-title: Cineradiographic motion analysis of normal lumbar spine during forward and backward flexion publication-title: Spine – volume: 34 start-page: 733 issue: 6 year: 2001 end-page: 740 article-title: Lumbar spinal muscle activation synergies predicted by multi‐criteria cost function publication-title: Journal of Biomechanics – volume: 14 start-page: 376 issue: 6 year: 1999 end-page: 383 article-title: Kinematics and movement sequencing during flexion of the lumbar spine publication-title: Clinical Biomechanics – volume: 39 start-page: 510 issue: 3 year: 2006 end-page: 521 article-title: Model and in vivo studies on human trunk load partitioning and stability in isometric forward flexions publication-title: Journal of Biomechanics – volume: 33 start-page: 139 issue: 2 year: 1991 end-page: 149 article-title: A three‐dimensional motion model of loads on the lumbar spine: II. 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Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements... Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements of total... Summary Given measurement difficulties, earlier modeling studies have often used some constant ratios to predict lumbar segmental kinematics from measurements... |
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| SubjectTerms | Algorithms Biomechanical Phenomena Compressive Strength Humans Image Processing, Computer-Assisted - methods kinematics-driven method lumbar spine Lumbar Vertebrae - physiology Models, Biological Muscle, Skeletal - physiology optimization-based method Pelvis - physiology Range of Motion, Articular Reproducibility of Results spinal loads Thorax - physiology Weight-Bearing |
| Title | An optimization-based method for prediction of lumbar spine segmental kinematics from the measurements of thorax and pelvic kinematics |
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