Estimating many parameters of biomechanical systems with limited data may achieve good fit but may also increase 95% confidence intervals in parameter estimates. This results in poor identifiability in the estimation problem. Therefore, we propose a novel method to select sensitive biomechanical model parameters that should be estimated, while fixing the remaining parameters to values obtained from preliminary estimation. Our method relies on identifying the parameters to which the measurement output is most sensitive. The proposed method is based on the Fisher information matrix (FIM). It was compared against the nonlinear least absolute shrinkage and selection operator (LASSO) method to guide modelers on the pros and cons of our FIM method. We present an application identifying a biomechanical parametric model of a head position-tracking task for ten human subjects. Using measured data, our method (1) reduced model complexity by only requiring five out of twelve parameters to be estimated, (2) significantly reduced parameter 95% confidence intervals by up to 89% of the original confidence interval, (3) maintained goodness of fit measured by variance accounted for (VAF) at 82%, (4) reduced computation time, where our FIM method was 164 times faster than the LASSO method, and (5) selected similar sensitive parameters to the LASSO method, where three out of five selected sensitive parameters were shared by FIM and LASSO methods.
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July 2018
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Selecting Sensitive Parameter Subsets in Dynamical Models With Application to Biomechanical System Identification
Ahmed Ramadan,
Ahmed Ramadan
Mem. ASME
Department of Mechanical Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
428 S. Shaw Ln,
East Lansing, MI 48824
e-mail: ramadana@msu.edu
Department of Mechanical Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
428 S. Shaw Ln,
East Lansing, MI 48824
e-mail: ramadana@msu.edu
Search for other works by this author on:
Connor Boss,
Connor Boss
Mem. ASME
Department of Electrical and Computer Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: bossconn@egr.msu.edu
Department of Electrical and Computer Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: bossconn@egr.msu.edu
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Jongeun Choi,
Jongeun Choi
Mem. ASME
School of Mechanical Engineering,
Yonsei University,
Seoul 03722, Republic of Korea
e-mail: jongeunchoi@yonsei.ac.kr
School of Mechanical Engineering,
Yonsei University,
Seoul 03722, Republic of Korea
e-mail: jongeunchoi@yonsei.ac.kr
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N. Peter Reeves,
N. Peter Reeves
Sumaq Life LLC,
East Lansing, MI 48823;
Department of Osteopathic Surgical Specialities,
MSU Center for Orthopedic Research (MSUCOR),
East Lansing, MI 48824
e-mail: reevesn@icloud.com
East Lansing, MI 48823;
Department of Osteopathic Surgical Specialities,
MSU Center for Orthopedic Research (MSUCOR),
East Lansing, MI 48824
e-mail: reevesn@icloud.com
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Jacek Cholewicki,
Jacek Cholewicki
Department of Osteopathic Surgical Specialties,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: cholewic@msu.edu
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: cholewic@msu.edu
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John M. Popovich,, Jr.,
John M. Popovich,, Jr.
Department of Osteopathic Surgical Specialties,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: popovi16@msu.edu
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: popovi16@msu.edu
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Clark J. Radcliffe
Clark J. Radcliffe
Fellow ASME
Department of Mechanical Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: radcliffe@egr.msu.edu
Department of Mechanical Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: radcliffe@egr.msu.edu
Search for other works by this author on:
Ahmed Ramadan
Mem. ASME
Department of Mechanical Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
428 S. Shaw Ln,
East Lansing, MI 48824
e-mail: ramadana@msu.edu
Department of Mechanical Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
428 S. Shaw Ln,
East Lansing, MI 48824
e-mail: ramadana@msu.edu
Connor Boss
Mem. ASME
Department of Electrical and Computer Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: bossconn@egr.msu.edu
Department of Electrical and Computer Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: bossconn@egr.msu.edu
Jongeun Choi
Mem. ASME
School of Mechanical Engineering,
Yonsei University,
Seoul 03722, Republic of Korea
e-mail: jongeunchoi@yonsei.ac.kr
School of Mechanical Engineering,
Yonsei University,
Seoul 03722, Republic of Korea
e-mail: jongeunchoi@yonsei.ac.kr
N. Peter Reeves
Sumaq Life LLC,
East Lansing, MI 48823;
Department of Osteopathic Surgical Specialities,
MSU Center for Orthopedic Research (MSUCOR),
East Lansing, MI 48824
e-mail: reevesn@icloud.com
East Lansing, MI 48823;
Department of Osteopathic Surgical Specialities,
MSU Center for Orthopedic Research (MSUCOR),
East Lansing, MI 48824
e-mail: reevesn@icloud.com
Jacek Cholewicki
Department of Osteopathic Surgical Specialties,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: cholewic@msu.edu
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: cholewic@msu.edu
John M. Popovich,, Jr.
Department of Osteopathic Surgical Specialties,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: popovi16@msu.edu
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: popovi16@msu.edu
Clark J. Radcliffe
Fellow ASME
Department of Mechanical Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: radcliffe@egr.msu.edu
Department of Mechanical Engineering,
MSU Center for Orthopedic Research (MSUCOR),
Michigan State University,
East Lansing, MI 48824
e-mail: radcliffe@egr.msu.edu
1Corresponding author.
Manuscript received October 5, 2017; final manuscript received March 2, 2018; published online May 8, 2018. Assoc. Editor: Guy M. Genin.
J Biomech Eng. Jul 2018, 140(7): 074503 (8 pages)
Published Online: May 8, 2018
Article history
Received:
October 5, 2017
Revised:
March 2, 2018
Citation
Ramadan, A., Boss, C., Choi, J., Peter Reeves, N., Cholewicki, J., Popovich,, J. M., Jr., and Radcliffe, C. J. (May 8, 2018). "Selecting Sensitive Parameter Subsets in Dynamical Models With Application to Biomechanical System Identification." ASME. J Biomech Eng. July 2018; 140(7): 074503. https://doi.org/10.1115/1.4039677
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