Particle Swarm Optimization for Positioning the Coil of Transcranial Magnetic Stimulation

Table 3

Detailed convergence results for each head model.

Model	Iterations to converge	E-field strength in ROI (IP) in V/m	E-field strength in ROI by optimization (V/m)	E-field strength enhancement (%)	Displacement from IP (mm)	φ (°)
Simulation 1
Chinese female	10	1.12	1.75	57.62	10.59	48.46
Chinese male	10	1.87	2.39	28.20	14.41	41.81
Billie	7	1.99	3.16	59.28	1.32	87.09
Duke	8	2.76	3.53	27.79	12.83	162.25
Ella	6	2.82	4.32	53.58	5.94	107.71
TWU	6	1.12	1.82	62.86	15.37	32.21
Japanese male	6	1.90	2.50	31.66	7.49	17.73
Japanese female	8	2.30	2.76	20.07	17.03	54.89
Norman	8	2.54	3.89	52.73	13.86	145.69
Naomi	7	1.22	2.01	64.69	2.58	33.23
Korean adult	6	2.10	4.41	109.28	5.68	76.13
Korean child	6	1.56	1.74	11.14	3.11	9.49
VIP-man	7	1.16	1.64	41.47	4.44	107.48
Simulation 2
Chinese female	8	1.12	1.76	58.54	5.67	159.82
Chinese male	8	1.87	2.43	30.07	10.16	104.24
Billie	7	1.99	3.12	57.05	4.32	83.41
Duke	8	2.76	3.48	26.31	6.42	165.59
Ella	6	2.82	4.12	46.48	5.69	86.66
TWU	6	1.12	1.92	71.32	12.09	88.49
Japanese male	6	1.90	2.51	32.40	18.22	61.17
Japanese female	6	2.30	2.73	18.85	8.54	26.35
Norman	8	2.54	3.84	50.90	16.12	158.84
Naomi	8	1.22	2.04	67.09	9.49	34.04
Korean adult	7	2.10	4.56	116.57	5.27	69.35
Korean child	7	1.56	1.77	13.24	3.25	18.91
VIP-man	7	1.16	1.67	44.47	3.91	119.99
Simulation 3
Chinese female	9	1.12	1.75	57.19	16.80	77.73
Chinese male	10	1.87	2.43	30.33	5.47	98.17
Billie	8	1.99	3.13	57.88	4.86	78.56
Duke	7	2.76	3.51	27.39	9.79	178.76
Ella	5	2.82	4.11	46.04	10.05	109.07
TWU	6	1.12	2.01	79.22	16.09	172.07
Japanese male	7	1.90	2.50	31.87	5.49	14.65
Japanese female	9	2.30	2.87	25.00	8.65	62.05
Norman	7	2.54	3.82	49.99	17.01	147.85
Naomi	7	1.22	1.99	63.13	1.66	30.42
Korean adult	7	2.10	4.52	114.92	4.33	67.99
Korean child	7	1.56	1.79	14.51	3.40	19.36
VIP-man	8	1.16	1.66	43.24	6.67	65.01
Simulation 4
Chinese female	10	1.12	1.76	58.60	7.31	0.26
Chinese male	8	1.87	2.49	33.25	14.44	118.79
Billie	6	1.99	3.12	57.30	14.83	82.37
Duke	8	2.76	3.40	23.29	13.01	176.63
Ella	9	2.82	4.13	46.65	13.51	78.73
TWU	6	1.12	1.83	63.96	14.14	25.58
Japanese male	5	1.90	2.48	30.89	9.94	38.74
Japanese female	8	2.30	2.71	17.89	3.44	51.97
Norman	8	2.54	3.79	48.93	13.39	138.17
Naomi	9	1.22	1.91	56.97	8.11	34.79
Korean adult	8	2.10	4.51	114.13	7.22	71.33
Korean child	6	1.56	1.73	10.98	1.93	1.71
VIP-man	6	1.16	1.69	45.97	17.64	122.74
Simulation 5
Chinese female	11	1.12	1.77	59.08	8.85	93.97
Chinese male	6	1.87	2.44	31.00	14.88	117.89
Billie	4	1.99	3.20	61.11	4.43	81.44
Duke	9	2.76	3.34	21.29	7.62	163.16
Ella	4	2.82	4.24	50.74	8.82	79.7
TWU	9	1.12	1.93	72.46	11.18	18.37
Japanese male	11	1.90	2.48	30.49	15.94	25.12
Japanese female	7	2.30	2.78	20.79	13.00	61.98
Norman	7	2.54	3.80	49.39	12.40	157.69
Naomi	7	1.22	2.01	65.20	10.56	33.21
Korean adult	7	2.10	4.54	115.76	3.96	69.43
Korean child	6	1.56	1.74	11.65	1.84	1.02
VIP-man	8	1.16	1.67	44.32	8.53	118.83

The values were calculated with the incident current to the coil as 1 kA at 2.24 kHz.