Comparison of synergy extrapolation and static optimization for estimating multiple unmeasured muscle activations during walking

Ao, Di; Fregly, Benjamin J.

doi:10.1186/s12984-024-01490-y

Journal of NeuroEngineering and Rehabilitation

Table 2 Root mean square error (RMSE) values and Pearson correlation coefficient (r) values for estimated muscle activations calculated between the experimental (“Params”) case and each calibration case

From: Comparison of synergy extrapolation and static optimization for estimating multiple unmeasured muscle activations during walking

Unmeasured Muscles	Calibration cases
	\(\begin{gathered} S{\text{yn}}X_{Unmeasured} \hfill \\ + Params \hfill \\ \end{gathered}\)		\(S{\text{yn}}X_{{_{Unmeasured} }}^{Params}\)		\(SO_{{_{All} }}^{Generic}\)		\(SO_{{_{All} }}^{Params}\)		\(SO_{{_{Unmeasured} }}^{Params}\)
	RMSE	r	RMSE	r	RMSE	r	RMSE	r	RMSE	r
Adductor brevis	0.02	0.54	0.01	0.69	0.04	− 0.17	0.02	− 0.03	0.02	0.37
Adductor longus	0.02	0.60	0.01	0.83	0.11	− 0.13	0.02	0.12	0.04	0.37
Adductor magnus distal	0.02	0.53	0.01	0.84	0.03	0.01	0.03	− 0.07	0.03	− 0.11
Adductor magnus ischial	0.02	0.55	0.01	0.89	0.04	0.23	0.04	− 0.08	0.11	0.32
Adductor magnus middle	0.02	0.43	0.01	0.63	0.02	− 0.17	0.02	− 0.15	0.02	0.26
Adductor magnus proximal	0.04	0.58	0.01	0.76	0.03	− 0.14	0.04	− 0.21	0.19	0.47
Iliacus	0.17	0.43	0.17	0.86	0.24	0.05	0.21	0.08	0.33	0.04
Psoas	0.14	0.45	0.17	0.78	0.30	0.02	0.25	0.07	0.16	0.50
Rectus femoris	0.09	0.63	0.06	0.76	0.21	0.35	0.14	0.30	0.21	0.11
Tensor fasciae latae²	0.16	0.66	0.04	0.98	0.29	− 0.09	0.24	− 0.15	0.15	0.71
Vastus medialis	0.09	0.65	0.02	0.92	0.07	0.13	0.05	0.79	0.10	0.61
Vastus intermedius	0.08	0.67	0.02	0.92	0.08	0.12	0.06	0.81	0.08	0.59
Lateral gastrocnemius²	0.09	0.62	0.04	0.79	0.09	0.18	0.07	0.48	0.08	0.67
Tibialis posterior	0.15	0.53	0.08	0.58	0.11	0.53	0.13	0.54	0.20	0.16
Peroneus brevis	0.08	0.41	0.05	0.74	0.15	− 0.31	0.07	0.29	0.11	0.25
Peroneus longus	0.09	0.42	0.05	0.79	0.13	0.13	0.06	0.43	0.14	0.25
Extensor digitorum longus¹	0.17	0.38	0.08	0.42	0.62	0.48	0.08	0.09	0.15	0.21
Flexor digitorum longus¹	0.05	0.92	0.09	0.82	0.14	0.89	0.11	0.95	0.11	0.38
Mean ± standard deviation	0.08 ± 0.06	0.55 ± 0.13	0.05 ± 0.05	0.78 ± 0.14	0.15 ± 0.15	0.12 ± 0.30	0.09 ± 0.07	0.24 ± 0.36	0.12 ± 0.08	0.34 ± 0.22

The RMSE and r values were calculated when the data across all calibration trials and subjects were concatenated
¹Indicates the EMG signals were assumed unmeasured only for S1 and ²indicates the EMG signals were assumed unmeasured only for S2

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ISSN: 1743-0003

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