Figures and data in Wavenumber-dependent transmission of subthreshold waves on electrical synapses network model of Caenorhabditis elegans

Figures
Tables
Additional files

6 figures, 5 tables and 1 additional file

Figures

Figure 1

Download asset Open asset

Anatomical gap junction network and our circuit model.

(A) In the sample of the network diagram on the left, there are white-filled nodes stand for cells, and the edges of a solid line stand for the anatomical gap junction between them. The graph on the right is the distribution of 1433 gap junction weights obtained from the connectome data of *C. elegans*. (B) In the sample of the network diagram on the left, equally spaced two virtual nodes were added between cells connected by a gap junction, and the virtual node is presented as a black-filled circle. The solid line stands for the connection between the cell and the virtual node that gave a weight of 1, and the dotted line stands for the connection between the two virtual nodes that gave our processed weight between 0 and 1. Our processed weights are calculated from the anatomical gap junction weights, and the graph on the right shows its distribution.

Figure 2 with 1 supplement

Download asset Open asset

Wavenumber-dependent transmission coefficient.

Average transmission coefficient for all cell-pairs as a function of E values (E value is a function of the wavenumber of the subthreshold wave). (A) The upper panel shows the average transmission coefficient graph on the Y-axis of the real scale and the lower panel shows the same graph on the Y-axis of the log scale. The reference value (10^–7) of the signal mobility edge is indicated in the lower panel as a dot-dash line. (B) The transmission coefficient of all cell-pairs at $E = 0.225$ is represented as a heatmap, which is the highest average transmission coefficient in our result. (C) The transmission coefficient of all cell-pairs at $E = 5.650$ is represented as a heatmap, which is one of the signal mobility edges. (**B, C**) In heatmap, the X and Y axes are arranged according to the index of 469 cells, and the index follows that of the original connectome data. Instead of displaying all cell names, only seven cell types were indicated.

Figure 2—figure supplement 1

Download asset Open asset

Selected $⟨ T (E) ⟩$ peaks.

The 31 selected peaks are shown as dots on the graph of the average transmission coefficient for all cell-pairs. To make the dots more visible, only the E value range of [–1, 5] was drawn out of the total [–10, 10]. The upper panel shows the dots and the graph on the Y-axis of the real scale and the lower panel shows the same things on the Y-axis of the log scale.

Figure 3 with 8 supplements

Download asset Open asset

Wavenumber-dependent transmission map.

The cell-pairs with strong transmission ( $T_{i j} (E) > 0.5$ ) at (A) $E = 0.225$ , (B) $E = 0.800$ , (C) $E = 1.450$ , and (D) $E = 3.875$ (or the corresponding wavenumbers) are shown, respectively. The left panels represent the transmission coefficient between cells belonging to the cell-pairs with strong transmission at each E value as a heatmap. Here, the X and Y axes are the cell index, and the cell name corresponding to the cell index can be found in Appendix 1—table 1, Appendix 1—table 2, Appendix 1—table 3, Appendix 1—table 4. The right panels display the cell-pairs of strong transmission at each E value as red bidirectional arrows of the same thickness on the network diagram. In the network diagram, the cell name is written inside the circle that stands for each node (for the body-wall muscles, the cell name is abbreviated as follows: ex) dBWML1 → dL1, and the color of the node stands for the cell type (red: pharynx cells, orange: sensory neurons, yellow: inter neurons, green: motor neurons, light blue: body-wall muscles, purple: other end organs, magenta: sex-specific cells). Edges indicated by black solid lines stand for the electrical synapses among the cells, and the thickness of the edges is proportional to our processed weight. In the network diagram, only 173 cells that belonged to the cell-pair with strong transmission at least once in positive E values are represented, and the remaining cells and the electrical synapses by them are omitted from display. The virtual nodes of our circuit are also omitted from the display.

Figure 3—figure supplement 1

Download asset Open asset

Wavenumber-dependent transmission map.

The cell-pairs with strong transmission ( $T_{i j} (E) > 0.5$ ) at (A) $E = 0.000$ , (B) $E = 0.100$ , (C) $E = 0.175$ , and (D) $E = 0.225$ (or the corresponding wavenumbers) are shown, respectively. The left panels represent the transmission coefficient between cells belonging to the cell-pairs with strong transmission at each E value as a heatmap. Here, the X and Y axes are the cell index, and the cell name corresponding to the cell index can be found in Appendix 1—Tables 1–4. The right panels display the cell-pairs of strong transmission at each E value as red bidirectional arrows of the same thickness on the network diagram. In the network diagram, the cell name is written inside the circle that stands for each node (for the body-wall muscles, the cell name is abbreviated as follows: ex) dBWML1 → dL1, and the color of the node stands for the cell type (red: pharynx cells, orange: sensory neurons, yellow: inter neurons, green: motor neurons, light blue: body-wall muscles, purple: other end organs, magenta: sex-specific cells). Edges indicated by black solid lines stand for the electrical synapses among the cells, and the thickness of the edges is proportional to our processed weight. In the network diagram, only 173 cells that belonged to the cell-pair with strong transmission at least once in positive E values are represented, and the remaining cells and the electrical synapses by them are omitted from display. The virtual nodes of our circuit are also omitted from the display.

Figure 3—figure supplement 2

Download asset Open asset

Wavenumber-dependent transmission map.

The cell-pairs with strong transmission ( $T_{i j} (E) > 0.5$ ) at (A) $E = 0.275$ , (B) $E = 0.325$ , (C) $E = 0.475$ , and (D) $E = 0.575$ (or the corresponding wavenumbers) are shown, respectively. The heatmaps of the left panels and the network diagram of the right panels are represented in the same way as in Figure 3—figure supplement 1.

Figure 3—figure supplement 3

Download asset Open asset

Wavenumber-dependent transmission map.

The cell-pairs with strong transmission ( $T_{i j} (E) > 0.5$ ) at (A) $E = 0.750$ , (B) $E = 0.800$ , (C) $E = 0.850$ , and (D) $E = 0.925$ (or the corresponding wavenumbers) are shown, respectively. The heatmaps of the left panels and the network diagram of the right panels are represented in the same way as in Figure 3—figure supplement 1.

Figure 3—figure supplement 4

Download asset Open asset

Wavenumber-dependent transmission map.

The cell-pairs with strong transmission ( $T_{i j} (E) > 0.5$ ) at (A) $E = 1.350$ , (B) $E = 1.450$ , (C) $E = 1.500$ , and (D) $E = 1.575$ (or the corresponding wavenumbers) are shown, respectively. The heatmaps of the left panels and the network diagram of the right panels are represented in the same way as in Figure 3—figure supplement 1.

Figure 3—figure supplement 5

Download asset Open asset

Wavenumber-dependent transmission map.

The cell-pairs with strong transmission ( $T_{i j} (E) > 0.5$ ) at (A) $E = 1.700$ , (B) $E = 1.750$ , (C) $E = 1.800$ , and (D) $E = 1.875$ (or the corresponding wavenumbers) are shown, respectively. The heatmaps of the left panels and the network diagram of the right panels are represented in the same way as in Figure 3—figure supplement 1.

Figure 3—figure supplement 6

Download asset Open asset

Wavenumber-dependent transmission map.

The cell-pairs with strong transmission ( $T_{i j} (E) > 0.5$ ) at (A) $E = 2.000$ , (B) $E = 2.225$ , (C) $E = 2.450$ , and (D) $E = 2.650$ (or the corresponding wavenumbers) are shown, respectively. The heatmaps of the left panels and the network diagram of the right panels are represented in the same way as in Figure 3—figure supplement 1.

Figure 3—figure supplement 7

Download asset Open asset

Wavenumber-dependent transmission map.

The cell-pairs with strong transmission ( $T_{i j} (E) > 0.5$ ) at (A) $E = 3.000$ , (B) $E = 3.375$ , (C) $E = 3.475$ , and (D) $E = 3.525$ (or the corresponding wavenumbers) are shown, respectively. The heatmaps of the left panels and the network diagram of the right panels are represented in the same way as in Figure 3—figure supplement 1.

Figure 3—figure supplement 8

Download asset Open asset

Wavenumber-dependent transmission map.

The cell-pairs with strong transmission ( $T_{i j} (E) > 0.5$ ) at (A) $E = 3.625$ , (B) $E = 3.750$ , and (C) $E = 3.875$ (or the corresponding wavenumbers) are shown, respectively. The heatmaps of the left panels and the network diagram of the right panels are represented in the same way as in Figure 3—figure supplement 1.

Figure 4

Download asset Open asset

Average appearance rate as cell-pair with strong transmission in the WDTMs.

The average appearance rate of all cell-pairs is represented as a heatmap. Here, the X and Y axes are arranged according to the index of 469 cells, and the index follows that of the original connectome data. Instead of displaying all cell names, only seven cell types were indicated. The highest rate is $7 / 31 \approx 0.23$ , and four cell-pair groups showing rates of $3 / 31 \approx 0.1$ or higher are identified and numbered in the heatmap. (1) PVDL-PVDR pair, (2) hmc-vBWML6, hmc-vBWML7, and hmc-vBWML8 pairs, (3) CANL-CANR, CANL-exc_cell, and CANR-exc_cell pairs, and (4) many cell-pairs of intra-strand of the body-wall muscles.

Figure 5

Download asset Open asset

Differences depending on whether the electrical synapse network model considers interference.

(A) In the electrical synapse network model without considering interference, when the electrical synapse is treated as an electrical resistor, the effective conductance (the reciprocal of the effective resistance) experienced by the external direct current power applied to an arbitrary cell-pair was calculated, and this value was represented as (B) a heatmap for all cell-pairs. (C) In our circuit considering interference of wave signals, the average transmission coefficient for all E values (or all wavenumbers) of an arbitrary cell-pair was calculated, and this value was represented as (D) a heatmap for all cell-pairs. (**B, D**) In heatmap, the X and Y axes are arranged according to the index of 469 cells, and the index follows that of the original connectome data. Instead of displaying all cell names, only seven cell types are indicated.

Appendix 1—figure 1

Download asset Open asset

Searching for optimal gamma.

The average transmission coefficient for all cell-pairs as a function of E value (E value is a function of both $γ$ and wavenumber k) was calculated under the four $γ$ conditions (1, 2.5, 5, and 10), respectively. Here, the wavenumbers used the same set as a hundred values equally spaced in the range of [0, $π / a$ ]. The upper panel shows the average transmission coefficient graphs as the Y-axis of the real scale and the lower panel shows the same graphs as the Y-axis of the log scale. The reference value (10^–7) of the signal mobility edge is shown in the lower panel as a dot-dash line.

Tables

Appendix 1—table 1

Cell names corresponding to the indices in the heatmaps for wavenumber-dependent transmission map.

Each two columns shows the index and the corresponding cell name of the cells that belonged to the cell-pairs with strong transmission at the E value (or the corresponding wavenumber) indicated in the first row. The color painted on the name box stands for the cell type (red: pharynx cells, orange: sensory neurons, yellow: inter neurons, green: motor neurons, light blue: body-wall muscles, purple: other end organs, magenta: sex-specific cells).

E = 0.000	ka = 1.571	E = 0.100	ka = 1.561	E = 0.175	ka = 1.553	E = 0.225	ka = 1.548	E = 0.275	ka = 1.543	E = 0.325	ka = 1.538	E = 0.475	ka = 1.523	E = 0.575	ka = 1.513
Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name
0	AVKR	0	dBWML7	0	dBWML4	0	IL1DR	0	vBWML4	0	vBWML1	0	PVPL	0	RIVL
1	SMBDR	1	dBWMR2	1	dBWML5	1	IL1L	1	vBWMR3	1	vBWML3	1	DVC	1	RIVR
2	dBWML4	2	dBWMR3	2	vBWMR1	2	IL1R	2	vBWMR4	2	vBWML4	2	vBWML7
3	dBWML5	3	vBWML2	3	vBWMR2	3	IL1VL	3	vBWMR5	3	vBWML5	3	vBWML8
4	dBWML8	4	vBWML6	4	vBWMR3	4	IL1VR	4	vBWML8	4	vBWML6	4	hmc
5	dBWML10	5	vBWMR1	5	vBWMR4	5	URAVR	5	vBWML10	5	vBWML7
6	dBWML11	6	vBWMR2	6	vBWMR5	6	dBWMR5	6	vBWML11	6	vBWMR3
7	dBWML12	7	vBWMR3	7	vBWMR6	7	dBWMR6	7	vBWML12	7	vBWMR4
8	dBWML13	8	vBWMR4	8	vBWMR7	8	dBWMR7	8	vBWML13	8	vBWMR5
9	dBWML14	9	vBWMR5	9	dBWMR8	9	vBWML2	9	vBWML15	9	vBWMR6
10	dBWML15	10	vBWMR6	10	dBWMR9	10	vBWML3	10	vBWML16	10	vBWMR7
11	dBWML17	11	vBWMR7	11	dBWMR10	11	vBWML4	11	vBWML17	11	vBWML10
12	dBWML18	12	dBWML8	12	dBWMR11	12	vBWML6	12	vBWML22	12	vBWML11
13	dBWML20	13	vBWML9	13	dBWMR12	13	vBWML7	13	vBWML23	13	vBWML12
14	dBWML21	14	vBWML10	14	dBWMR13	14	vBWMR3	14	vBWMR10	14	vBWML16
15	dBWML23	15	vBWML11	15	dBWMR14	15	vBWMR4	15	vBWMR11	15	vBWML17
16	dBWML24	16	vBWML12	16	dBWMR15	16	vBWMR6	16	vBWMR12	16	vBWML18
17	vBWML11	17	vBWML13	17	dBWMR16	17	vBWMR7	17	vBWMR14	17	vBWML19
18	vBWML14	18	vBWML15	18	dBWMR17	18	dBWMR9	18	vBWMR15	18	vBWML21
19	vBWML17	19	vBWML16	19	dBWMR18	19	dBWMR10	19	vBWMR16	19	vBWML22
20	CANL	20	vBWML17	20	dBWMR19	20	dBWMR11	20	vBWMR19	20	vBWML23
21	CANR	21	vBWML18	21	dBWMR20	21	dBWMR13	21	vBWMR20	21	vBWMR9
22	exc_cell	22	vBWML19	22	dBWMR21	22	dBWMR14	22	vBWMR21	22	vBWMR10
23	hmc	23	vBWML20	23	dBWMR23	23	dBWMR16	23	vBWMR23	23	vBWMR11
		24	vBWML21	24	dBWMR24	24	dBWMR17	24	vBWMR24	24	vBWMR12
		25	vBWML22	25	vBWML9	25	dBWMR18	25	CANL	25	vBWMR13
		26	vBWML23	26	vBWML11	26	dBWMR20	26	CANR	26	vBWMR16
		27	vBWMR8	27	vBWML12	27	dBWMR21	27	exc_cell	27	vBWMR17
		28	vBWMR9	28	vBWML14	28	dBWMR23	28	hmc	28	vBWMR18
		29	vBWMR10	29	vBWML15	29	dBWMR24			29	vBWMR19
		30	vBWMR11	30	vBWML17	30	vBWML8			30	vBWMR20
		31	vBWMR12	31	vBWML18	31	vBWML9			31	vBWMR22
		32	vBWMR13	32	vBWMR9	32	vBWML10			32	vBWMR23
		33	vBWMR14	33	vBWMR12	33	vBWML11			33	vBWMR24
		34	vBWMR15	34	vBWMR15	34	vBWML13			34	CANL
		35	vBWMR16	35	vBWMR18	35	vBWML14			35	CANR
		36	vBWMR17	36	vBWMR21	36	vBWML16			36	exc_cell
		37	vBWMR18	37	vBWMR24	37	vBWML17			37	hmc
		38	vBWMR19	38	CANL	38	vBWML18
		39	vBWMR20	39	CANR	39	vBWMR9
		40	vBWMR21	40	exc_cell	40	vBWMR10
		41	vBWMR22			41	vBWMR11
		42	vBWMR23			42	vBWMR13
		43	vBWMR24			43	vBWMR14
		44	CANL			44	vBWMR16
		45	CANR			45	vBWMR17
						46	vBWMR18
						47	vBWMR20
						48	vBWMR21
						49	vBWMR23
						50	vBWMR24
						51	CANL
						52	CANR
						53	exc_cell
						54	hmc

Appendix 1—table 2

Cell names corresponding to the indices in the heatmaps for wavenumber-dependent transmission map.

It is represented in the same way as Appendix 1—table 1.

E = 0.750	ka = 1.496	E = 0.800	ka = 1.491	E = 0.850	ka = 1.486	E = 0.925	ka = 1.478	E = 1.350	ka = 1.435	E = 1.450	ka = 1.425	E = 1.500	ka = 1.420	E = 1.575	ka = 1.413
Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name
0	PVDL	0	PVDL	0	PVDL	0	RIGL	0	dBWML3	0	dBWML3	0	dBWML9	0	dBWML10
1	PVDR	1	PVDR	1	PVDR	1	RIGR	1	dBWML6	1	dBWML4	1	dBWML10	1	dBWML11
2	ALA	2	ALA	2	ALA			2	dBWML9	2	dBWML5	2	dBWML11	2	dBWML12
3	dBWML7	3	dBWML7	3	dBWML7			3	dBWML10	3	dBWML6	3	dBWML12	3	dBWML13
4	dBWML8	4	dBWMR7	4	dBWML8			4	dBWML11	4	dBWMR1	4	dBWML13	4	dBWML14
5	CANL	5	vBWML3					5	dBWML12	5	dBWMR3	5	dBWML14	5	dBWML15
6	CANR	6	vBWML5					6	dBWML13	6	vBWML1	6	dBWML15	6	dBWML16
		7	vBWML7					7	dBWML14	7	vBWML3	7	dBWML16	7	dBWML17
		8	vBWMR6					8	dBWML15	8	vBWML5	8	dBWML17	8	dBWML18
		9	vBWMR7					9	dBWML16	9	vBWML7	9	dBWML18	9	dBWML19
		10	dBWML8					10	dBWML17	10	vBWMR1	10	dBWML19	10	dBWML20
		11	dBWMR8					11	dBWML18	11	vBWMR2	11	dBWML20	11	dBWML21
		12	dBWMR9					12	dBWML19	12	vBWMR3	12	dBWML21	12	dBWML22
		13	vBWML8					13	dBWML20	13	vBWMR5	13	dBWML22	13	dBWML23
		14	vBWMR8					14	dBWML21	14	vBWMR7	14	dBWML23	14	dBWML24
		15	exc_gl					15	dBWML22	15	dBWML9	15	dBWML24	15	dBWMR9
								16	dBWML23	16	dBWML10	16	dBWMR8	16	dBWMR10
								17	dBWML24	17	dBWML11	17	dBWMR9	17	dBWMR11
								18	dBWMR8	18	dBWML12	18	dBWMR10	18	dBWMR12
								19	dBWMR9	19	dBWML13	19	dBWMR11	19	dBWMR13
								20	dBWMR10	20	dBWML14	20	dBWMR12	20	dBWMR14
								21	dBWMR11	21	dBWML15	21	dBWMR13	21	dBWMR15
								22	dBWMR12	22	dBWML16	22	dBWMR14	22	dBWMR16
								23	dBWMR13	23	dBWML17	23	dBWMR15	23	dBWMR17
								24	dBWMR14	24	dBWML18	24	dBWMR16	24	dBWMR18
								25	dBWMR15	25	dBWML19	25	dBWMR17	25	dBWMR19
								26	dBWMR16	26	dBWML20	26	dBWMR18	26	dBWMR20
								27	dBWMR17	27	dBWML21	27	dBWMR19	27	dBWMR21
								28	dBWMR18	28	dBWML22	28	dBWMR20	28	dBWMR22
								29	dBWMR19	29	dBWML23	29	dBWMR21	29	dBWMR23
								30	dBWMR20	30	dBWML24	30	dBWMR22	30	dBWMR24
								31	dBWMR21	31	dBWMR8	31	dBWMR23	31	vBWML9
								32	dBWMR22	32	dBWMR9	32	dBWMR24	32	vBWML10
								33	dBWMR23	33	dBWMR10	33	vBWML9	33	vBWML11
								34	dBWMR24	34	dBWMR11	34	vBWML10	34	vBWML12
								35	vBWML9	35	dBWMR13	35	vBWML11	35	vBWML13
								36	vBWML10	36	dBWMR14	36	vBWML12	36	vBWML14
								37	vBWML11	37	dBWMR15	37	vBWML16	37	vBWML15
								38	vBWML12	38	dBWMR16	38	vBWML17	38	vBWML16
								39	vBWML13	39	dBWMR17	39	vBWML18	39	vBWML17
								40	vBWML14	40	dBWMR18	40	vBWML19	40	vBWML18
								41	vBWML15	41	dBWMR19	41	vBWMR9	41	vBWML19
								42	vBWML16	42	dBWMR20	42	vBWMR10	42	vBWML23
								43	vBWML17	43	dBWMR21	43	vBWMR11	43	vBWMR9
								44	vBWML18	44	dBWMR22	44	vBWMR12	44	vBWMR10
								45	vBWML20	45	dBWMR23	45	vBWMR13	45	vBWMR11
								46	vBWML22	46	dBWMR24	46	vBWMR14	46	vBWMR12
								47	vBWML23	47	vBWML9	47	vBWMR16	47	vBWMR13
								48	vBWMR9	48	vBWML10	48	vBWMR17	48	vBWMR14
								49	vBWMR10	49	vBWML11	49	vBWMR18	49	vBWMR15
								50	vBWMR11	50	vBWML12	50	vBWMR19	50	vBWMR16
								51	vBWMR12	51	vBWML14	51	vBWMR20	51	vBWMR17
								52	vBWMR13	52	vBWML16	52	vBWMR21	52	vBWMR18
								53	vBWMR14	53	vBWML17	53	vBWMR23	53	vBWMR19
								54	vBWMR15	54	vBWML18	54	vBWMR24	54	vBWMR20
								55	vBWMR16	55	vBWML19			55	vBWMR21
								56	vBWMR17	56	vBWML20			56	vBWMR22
								57	vBWMR18	57	vBWML21			57	vBWMR23
								58	vBWMR19	58	vBWML22			58	vBWMR24
								59	vBWMR20	59	vBWML23
								60	vBWMR21	60	vBWMR9
								61	vBWMR22	61	vBWMR11
								62	vBWMR23	62	vBWMR12
								63	vBWMR24	63	vBWMR13
										64	vBWMR14
										65	vBWMR15
										66	vBWMR16
										67	vBWMR17
										68	vBWMR18
										69	vBWMR19
										70	vBWMR20
										71	vBWMR21
										72	vBWMR22
										73	vBWMR23
										74	vBWMR24

Appendix 1—table 3

Cell names corresponding to the indices in the heatmaps for wavenumber-dependent transmission map.

It is represented in the same way as Appendix 1—table 1.

E = 1.700	ka = 1.400	E = 1.750	ka = 1.395	E = 1.800	ka = 1.390	E = 1.875	ka = 1.382	E = 2.000	ka = 1.369	E = 2.225	ka = 1.346	E = 2.450	ka = 1.323	E = 2.650	ka = 1.303
Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name
0	vm2AL	0	dBWMR1	0	vBWML4	0	dBWMR7	0	dBWMR1	0	dBWMR4	0	pm5VL	0	RMEL
1	vm2AR	1	dBWMR2	1	vBWML6	1	vBWML4	1	dBWMR2	1	dBWMR6	1	mc1V	1	RMED
2	vm2PL	2	dBWMR4	2	vBWMR1	2	vBWML6	2	dBWMR3			2	ASEL	2	dBWMR1
3	vm2PR	3	vBWML8	3	vBWMR2	3	vBWMR6	3	dBWMR7			3	AIZL	3	GLRL
		4	vBWML10	4	vBWMR6	4	dBWMR9	4	GLRDL					4	GLRR
		5	vm1AL	5	dBWMR9	5	vBWML8	5	GLRDR
		6	vm1AR	6	hmc	6	vBWMR8	6	hmc
		7	vm1PL
		8	vm1PR

Appendix 1—table 4

Cell names corresponding to the indices in the heatmaps for wavenumber-dependent transmission map.

It is represented in the same way as Appendix 1—table 1.

E = 3.000	ka = 1.266	E = 3.375	ka = 1.227	E = 3.475	ka = 1.216	E = 3.525	ka = 1.211	E = 3.625	ka = 1.200	E = 3.750	ka = 1.186	E = 3.875	ka = 1.173
Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name	Index	Cell name
0	PLNR	0	ALA	0	PVDR	0	PVDL	0	ASKR	0	DVB	0	PHCR
1	PHAL	1	hmc	1	hmc	1	PVDR	1	PVQL	1	DD06	1	PVR
2	PHCL											2	DVB
3	DA09											3	PVT
4	PDB											4	AVL
												5	PDA
												6	PDB
												7	VA12
												8	VD12

Appendix 1—table 5

List of cell-pairs with strong transmission except intra body-wall muscles pairs.

The first column represents the shortest distance along the network connecting the two cells of the cell-pair. The second and third columns represent the cell names of the cell-pair, and the color painted on the name box stands for the cell type (red: pharynx cells, orange: sensory neurons, yellow: inter neurons, green: motor neurons, light blue: body-wall muscles, purple: other end organs, magenta: sex-specific cells). The fourth, fifth, and sixth columns represent the transmission coefficient, the E value, and the wavenumber when the cell-pair shows the strongest transmission in the positive E value range, respectively.

Distance	Cell names		Max{T(E)}	E(ka)	ka	Distance	Cell names		Max{T(E)}	E(ka)	ka	Distance	Cell names		Max{T(E)}	E(ka)	ka
17	dBWMR24	hmc	0.912	0.125	1.558	3	vBWMR10	hmc	0.791	0.325	1.538	2	vm2AR	vm2PR	0.892	1.700	1.400
17	vBWMR24	hmc	0.765	0.325	1.538	3	um1AL	vm2PR	0.659	2.025	1.367	1	ASEL	AFDL	0.794	0.125	1.558
16	vBWMR23	hmc	0.797	0.325	1.538	3	um1AR	vm2PL	0.659	2.025	1.367	1	PVDL	PVDR	0.858	0.750	1.496
15	dBWMR22	hmc	0.805	0.125	1.558	3	um1PL	vm2AR	0.659	2.025	1.367	1	PVDL	ALA	0.704	0.850	1.486
15	vBWMR22	hmc	0.603	0.325	1.538	3	um1PR	vm2AL	0.659	2.025	1.367	1	PVDL	CANL	0.776	0.750	1.496
14	dBWMR21	hmc	0.946	0.125	1.558	2	pm5VL	mc1V	0.665	2.450	1.323	1	PVDR	ALA	0.728	0.750	1.496
12	dBWMR19	hmc	0.892	0.125	1.558	2	ASEL	AIZL	0.839	2.450	1.323	1	PVDR	CANR	0.914	0.750	1.496
12	vBWMR19	hmc	0.692	0.325	1.538	2	ASKR	PVQL	0.746	3.625	1.200	1	PVDR	hmc	0.627	3.475	1.216
11	dBWMR18	hmc	0.731	0.125	1.558	2	PLNR	PDB	0.802	3.000	1.266	1	PHBL	PHBR	0.852	0.375	1.533
11	vBWMR18	hmc	0.754	0.325	1.538	2	PVDL	dBWML7	0.946	0.850	1.486	1	CEPDL	OLQDL	0.639	0.050	1.566
10	dBWMR17	hmc	0.645	0.125	1.558	2	PVDL	dBWML8	0.947	0.850	1.486	1	IL1DR	IL1R	0.642	0.225	1.548
10	vBWMR17	hmc	0.789	0.325	1.538	2	PVDL	CANR	0.851	0.750	1.496	1	IL1L	IL1VL	0.599	0.225	1.548
9	dBWMR16	hmc	0.936	0.125	1.558	2	PVDR	dBWML7	0.737	0.850	1.486	1	IL1R	IL1VR	0.750	0.225	1.548
9	vBWMR16	hmc	0.739	0.325	1.538	2	PVDR	dBWML8	0.738	0.850	1.486	1	IL1VL	IL1VR	0.973	0.225	1.548
8	vBWML15	hmc	0.593	0.275	1.543	2	PVDR	CANL	0.895	0.750	1.496	1	IL1VR	URAVR	0.556	0.225	1.548
7	AVBR	dBWML12	0.601	1.000	1.471	2	PHAL	DA09	0.546	3.000	1.266	1	AIZL	AIZR	0.534	0.375	1.533
7	dBWMR14	hmc	0.867	0.125	1.558	2	PHAL	PDB	0.662	3.000	1.266	1	ALA	CANR	0.594	0.750	1.496
7	vBWML14	hmc	0.726	0.225	1.548	2	PHCL	PDB	0.577	3.000	1.266	1	PVPL	DVC	0.568	0.475	1.523
7	vBWML16	hmc	0.776	0.275	1.543	2	IL1DR	IL1L	0.781	0.225	1.548	1	DVB	DD06	0.535	3.750	1.186
6	dBWMR13	hmc	0.900	0.125	1.558	2	IL1DR	IL1VR	0.844	1.425	1.428	1	RIGL	RIGR	0.760	0.925	1.478
6	vBWML13	hmc	0.832	0.225	1.548	2	IL1L	IL1VR	0.511	0.225	1.548	1	AVKR	SMBDR	0.895	0.200	1.551
6	vBWML17	hmc	0.801	0.225	1.548	2	IL1R	IL1VL	0.824	0.225	1.548	1	PVT	VD12	0.641	3.875	1.173
6	vBWMR13	hmc	0.593	0.325	1.538	2	IL1R	URAVR	0.872	0.225	1.548	1	RIVL	RIVR	0.807	0.575	1.513
5	CEPDL	IL1R	0.716	0.050	1.566	2	IL1VL	URAVR	0.632	0.225	1.548	1	VA12	VD12	0.786	3.875	1.173
5	AS11	vBWMR4	0.574	1.000	1.471	2	ALA	hmc	0.560	3.375	1.227	1	VB05	VB06	0.950	0.050	1.566
5	VD04	vBWML5	0.617	0.075	1.563	2	PVR	VD12	0.574	3.875	1.173	1	dBWMR1	GLRDL	0.884	2.000	1.369
5	vBWML12	hmc	0.785	0.275	1.543	2	DVB	VA12	0.590	3.875	1.173	1	dBWMR1	GLRDR	0.752	2.000	1.369
5	vBWML18	hmc	0.503	0.225	1.548	2	DVB	VD12	0.734	3.875	1.173	1	vBWML5	hmc	0.790	0.325	1.538
5	vBWMR12	hmc	0.743	0.325	1.538	2	AVL	VA12	0.538	3.875	1.173	1	vBWML7	hmc	0.662	0.325	1.538
4	CEPDL	IL1DR	0.757	0.050	1.566	2	RMEL	RMED	0.949	2.650	1.303	1	vBWMR5	hmc	0.838	0.325	1.538
4	OLQDL	IL1R	0.716	0.050	1.566	2	RMED	dBWMR1	0.501	2.650	1.303	1	vBWMR7	hmc	0.573	0.325	1.538
4	VD04	vBWML7	0.535	0.075	1.563	2	DA09	PDB	0.592	3.000	1.266	1	dBWMR8	hmc	0.946	0.125	1.558
4	dBWML4	hmc	0.721	0.000	1.571	2	PDA	VA12	0.586	3.875	1.173	1	vBWML8	hmc	0.774	0.225	1.548
4	dBWMR11	hmc	0.913	0.125	1.558	2	PDA	VD12	0.766	3.875	1.173	1	CANL	exc_cell	0.762	0.250	1.546
4	vBWML11	hmc	0.705	0.275	1.543	2	PDB	VD12	0.596	3.875	1.173	1	CANR	exc_cell	0.761	0.250	1.546
4	vBWMR11	hmc	0.773	0.325	1.538	2	VB05	VB07	0.628	0.050	1.566	1	mu_intL	mu_intR	0.607	0.050	1.566
3	PHCR	VD12	0.567	3.875	1.173	2	vBWML4	hmc	0.803	0.325	1.538	1	mu_intL	mu_anal	0.984	0.050	1.566
3	OLQDL	IL1DR	0.757	0.050	1.566	2	vBWML6	hmc	0.822	0.325	1.538	1	mu_intL	mu_sph	0.984	0.050	1.566
3	IL1DR	URAVR	0.708	0.225	1.548	2	vBWMR4	hmc	0.793	0.325	1.538	1	mu_intR	mu_anal	0.625	0.050	1.566
3	IL1L	IL1R	0.859	0.225	1.548	2	vBWMR6	hmc	0.992	1.800	1.390	1	mu_intR	mu_sph	0.625	0.050	1.566
3	IL1L	URAVR	0.871	0.225	1.548	2	dBWMR9	hmc	0.807	0.125	1.558	1	um1AL	um1PL	0.573	2.025	1.367
3	ALA	dBWML7	0.866	0.850	1.486	2	vBWML8	exc_gl	0.715	0.800	1.491	1	um1AR	um1PR	0.573	2.025	1.367
3	ALA	dBWML8	0.867	0.850	1.486	2	vBWML9	hmc	0.707	0.225	1.548	1	vm2AL	vm2AR	0.927	1.700	1.400
3	ALA	vBWML8	0.507	0.800	1.491	2	GLRL	GLRR	0.916	2.650	1.303	1	vm1AL	vm1AR	0.714	1.750	1.395
3	AVFL	AS03	0.625	1.000	1.471	2	CANL	CANR	0.999	1.950	1.375	1	vm1AL	vm1PL	0.795	1.750	1.395
3	dBWML5	hmc	0.806	0.000	1.571	2	mu_anal	mu_sph	0.984	0.050	1.566	1	vm1AR	vm1PR	0.795	1.750	1.395
3	dBWMR1	hmc	0.869	2.000	1.369	2	vm2AL	vm2PL	0.892	1.700	1.400	1	vm1PL	vm1PR	0.714	1.750	1.395
3	vBWML3	hmc	0.604	0.325	1.538	2	vm2AL	vm2PR	0.888	1.700	1.400	1	vm2PL	vm2PR	0.927	1.700	1.400
3	vBWML10	hmc	0.797	0.225	1.548	2	vm2AR	vm2PL	0.888	1.700	1.400

Additional files

MDAR checklist: https://cdn.elifesciences.org/articles/99904/elife-99904-mdarchecklist1-v1.docx
Download elife-99904-mdarchecklist1-v1.docx

Download links

A two-part list of links to download the article, or parts of the article, in various formats.

Downloads (link to download the article as PDF)

Open citations (links to open the citations from this article in various online reference manager services)

Mendeley

Cite this article (links to download the citations from this article in formats compatible with various reference manager tools)

Iksoo Chang
Taegon Chung
Sangyeol Kim

(2025)

Wavenumber-dependent transmission of subthreshold waves on electrical synapses network model of Caenorhabditis elegans

eLife 13:RP99904.

https://doi.org/10.7554/eLife.99904.3

Share this article

Cite this article

Anatomical gap junction network and our circuit model.

Wavenumber-dependent transmission coefficient.

Selected ⟨T(E)⟩ peaks.

Wavenumber-dependent transmission map.

Wavenumber-dependent transmission map.

Wavenumber-dependent transmission map.

Wavenumber-dependent transmission map.

Wavenumber-dependent transmission map.

Wavenumber-dependent transmission map.

Wavenumber-dependent transmission map.

Wavenumber-dependent transmission map.

Wavenumber-dependent transmission map.

Average appearance rate as cell-pair with strong transmission in the WDTMs.

Differences depending on whether the electrical synapse network model considers interference.

Searching for optimal gamma.

Cell names corresponding to the indices in the heatmaps for wavenumber-dependent transmission map.

Cell names corresponding to the indices in the heatmaps for wavenumber-dependent transmission map.

Cell names corresponding to the indices in the heatmaps for wavenumber-dependent transmission map.

Cell names corresponding to the indices in the heatmaps for wavenumber-dependent transmission map.

List of cell-pairs with strong transmission except intra body-wall muscles pairs.

MDAR checklist

Downloads (link to download the article as PDF)

Open citations (links to open the citations from this article in various online reference manager services)

Cite this article (links to download the citations from this article in formats compatible with various reference manager tools)

Selected $⟨ T (E) ⟩$ peaks.