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Multiple Sclerosis Classification Using the Local Divergence Exponent: Parameters Selection for State-Space
L Eduardo Cofré Lizama1,2, Liuhua Peng3, Tomas Kalincik4,5
1Department of Allied Health, School of Health Sciences, Swinburne University of Technology, Hawthorn, Melbourne, VIC 3122, Australia.
Local Divergence Exponent (LDE) calculations can effectively distinguish people with multiple sclerosis (pwMS) from controls. Using fixed parameters for LDE calculation simplifies its use as a mobility biomarker in MS.
Area of Science:
- Biomedical Engineering
- Neurology
- Rehabilitation Science
Background:
- Walking stability is impaired in people with multiple sclerosis (pwMS).
- Previous studies using the local divergence exponent (LDE) to assess walking stability in pwMS show varied results due to differing calculation methods.
- Standardizing LDE calculation is crucial for reliable comparisons and clinical application.
Purpose of the Study:
- To investigate how different state space reconstruction parameters for LDE calculation impact the classification accuracy of pwMS.
- To identify optimal parameters for LDE calculation to serve as a reliable mobility biomarker in multiple sclerosis.
Main Methods:
- 55 pwMS and 23 controls underwent a 5-minute walking test.
- LDE was calculated using three parameter sets (trial-specific, median, fixed d=5/τ=10) and various sensor data (vertical, mediolateral, anteroposterior accelerations, norm, 3D) from sternum and lumbar sensors.
- Quadratic Discriminant Analysis (QDA) was used to compare classification accuracy across different LDE calculation methods.
Main Results:
- The highest classification accuracy (84%) was achieved using LDE from sternum-mounted norm acceleration data with fixed parameters (d=5, τ=10), incorporating walking speed as a covariate.
- LDE calculations using lumbar sensors yielded lower classification accuracy compared to sternum sensors.
Conclusions:
- Fixed parameters (d=5, τ=10) for LDE calculation using sternum norm acceleration data provide the best classification of pwMS.
- Standardizing LDE calculation parameters simplifies its implementation as a mobility biomarker for multiple sclerosis.
- This study provides evidence supporting a consensus for LDE calculation methodology in MS research and clinical practice.
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