Fig 1
![8-electrode FIM to localise a deep target object in a volume conductor. Two pairs of electrodes indicated by I1-I1’ and V1-V1’ form the first TPIM configuration while I2-I2’ and V2-V2’ indicate the second TPIM. The average of the two TPIM values make the FIM [14]. The dashed lines in the left hand figure show the maximum current lines between respective pairs of electrodes, which also includes the potential measuring electrodes, while the dotted lines on the right hand figure show approximate equipotential lines through the potential measuring electrodes.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64721e3e215d2f6c89dbc8fe/j_joeb-2019-0011_fig_001.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20251024%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20251024T021931Z&X-Amz-Expires=3600&X-Amz-Signature=6d4ff662d8c805701a16e04d761777696ec7434ac73a05db5e08576990514937&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Fig 2

Fig 3

Fig 4

Fig 5

Fig 6

Fig 7

Fig 8

Fig 9

Fig 10

Fig 11

Fig 12

Fig 13

Simulation-A for TPIM2 for varying separation of I2-V2 Electrode Co-ordinates for 3 separations: [I2:( 30,14,19), V2: (30,18,19)]; [I2:( 30,12,19), V2:( 30,20,19)]; [I2:( 30,10,19), V2: ( 30,22,19)]_ Fixed [I1’=(13,-3,19), V1’=(2,21,19)] Direct straight-line separation for I2'-V2' = 24_7 cm
| I2-V2, cm | |||
|---|---|---|---|
| Simulated parameters | 4 | 8 | 12 |
| Max Sensitivity* | 9.65E+05 | 5.10E+05 | 4.01E+05 |
| Min Sensitivity* | -1.35E+07 | -2.99E+06 | -1.14E+06 |
| Total Impedance (ohm) | 3.08 | 1.63 | 1.06 |
| Stomach Impedance (ohm) | 0.60 | 0.38 | 0.21 |
| % Contribution of stomach | 19.53 | 23.07 | 20.22 |
Simulation-B for FIM with best TPIM configurations Direct straight-line separations: I1-V1 = 8 cm, I1'-V1' = 15_4 cm, I2-V2 = 8 cm, I2'-V2' = 24_7 cm
| Simulated parameters | TPIM1 | TPIM2 | FIM |
|---|---|---|---|
| Max Sensitivity* | 8.41E+05 | 4.86E+05 | 4.23E+05 |
| Min Sensitivity* | -2.41E+05 | -2.09E+06 | -1.05E+06 |
| Total Impedance (ohm) | 1.01 | 1.096 | 1.055 |
| Stomach Impedance (ohm) | 0.389 | 0.333 | 0.3611 |
| % Contribution of stomach | 38.51 | 30.38 | 34.23 |
Simulation-A for FIM with best TPIM configurations Direct straight-line separations: I1-V1 = 8 cm, I1'-V1' = 15_4 cm, I2-V2 = 8 cm, I2'-V2' = 24_7 cm
| Simulated parameters | TPIM1 | TPIM2 | FIM |
|---|---|---|---|
| Max Sensitivity* | 1.27E+06 | 5.10E+05 | 6.40E+05 |
| Min Sensitivity* | -3.66E+05 | -2.99E+06 | -1.48E+06 |
| Total Impedance (ohm) | 1.57 | 1.63 | 1.60 |
| Stomach Impedance (ohm) | 0.35 | 0.38 | 0.36 |
| % Contribution of stomach | 22.36 | 23.07 | 22.73 |
Assumed electrical values for simulation_ Frequency = 200 kHz_ Current = 1 A_
| Electrical Properties | Background trunk volume* | Stomach volume** | Electrode (copper) |
|---|---|---|---|
| Conductivity (σ) [S/m] | 1.2 | 5 | 6 × 107 |
| Relative Permittivity (ϵ) | 80 | 80 | 1 |
Geometrical parameters appropriate for the chosen model
| Volume of whole Trunk (including stomach) | 28430 cm3 |
| Volume of Stomach | 1293 cm3 |
| Stomach volume with respect to whole volume | 4.54 % |
| Horizontal Cross Sectional Area of Trunk | 711.4 cm2 |
| Horizontal Cross Sectional Area of Stomach | 161.4cm2 |
| Area of Stomach with respect to Area of Trunk | |
| (cross-sectional) | 22.69 % |
Simulation-A for Strip Electrodes of different lengths Strip electrode cross section: 2 cm × 2 cm Direct straight-line separations: I1-V1 = 8 cm, I1'-V1' = 15_4 cm, I2-V2 = 8 cm, I2'-V2' = 24_7 cm
| Length = 5 cm | Length = 6 cm | Length = 8 cm | |||||||
|---|---|---|---|---|---|---|---|---|---|
| Simulated Parameters | TPIM1 | TPIM2 | FIM | TPIM1 | TPIM2 | FIM | TPIM1 | TPIM2 | FIM |
| Max Sensitivity* | 3.90E+04 | 4.47E+04 | 2.43E+04 | 2.64E+04 | 2.37E+04 | 1.67E+04 | 5.42E+04 | 3.05E+04 | 3.27E+04 |
| Min Sensitivity* | -6.32E+04 | -7.53E+04 | -3.60E+04 | -5.14E+04 | -6.73E+04 | -3.26E+04 | -5.77E+04 | -1.57E+05 | -7.80E+04 |
| Total Impedance, Ω | 1.49 | 1.57 | 1.53 | 1.40 | 1.48 | 1.44 | 1.47 | 1.55 | 1.51 |
| Stomach Impedance, Ω | 0.33 | 0.36 | 0.34 | 0.29 | 0.32 | 0.30 | 0.32 | 0.35 | 0.33 |
| % Contribution of stomach | 21.82 | 22.55 | 22.23 | 20.82 | 21.49 | 21.16 | 21.57 | 22.33 | 21.93 |
Simulation-A for Orthogonal Electrode I1-V1 = 8 cm, I1'-V1' = 15_4 cm, I2-V2 = 8 cm, I2'-V2' = 15_4 cm
| Simulated parameter | TPIM1 | TPIM1-O | FIM |
|---|---|---|---|
| Total Impedance (ohm) | 1.58 | 1.40 | 1.49 |
| Stomach Impedance (ohm) | 0.35 | 0.29 | 0.32 |
| % Contribution of stomach | 22.34 | 20.90 | 21.67 |
Simulation-A for TPIM1 for varying separation of I1-V1 Electrode Co-ordinates for 3 separations: [I1:(16,25,19), V1:(20,25,19)]; [I1:(14,25,19), V1:(22,25,19)]; [I1:(12,25,19), V1:(24,25,19)]_ Fixed [I1’=(16,-3,19); V1’=(29,6_5,19)] Direct straight-line separation for I1'-V1' = 15_4 cm
| Separation of I1-V1, cm | |||
|---|---|---|---|
| Simulated parameters | 4 | 8 | 12 |
| Maximum Sensitivity* | 7.71E+06 | 1.27E+06 | 8.99E+05 |
| Minimum Sensitivity* | -2.22E+06 | -3.66E+05 | -2.36E+05 |
| Total Impedance (ohm) | 3.23 | 1.57 | 1.07 |
| Stomach Impedance (ohm) | 0.61 | 0.35 | 0.23 |
| % Contribution of stomach | 18.94 | 22.36 | 21.04 |
