Analysis of a dynamic model of guard cell signaling reveals the stability of signal propagation

BMC Systems Biology

Table 4 Summary of the attractors found using the stable motif algorithm

BL	RL	CO₂	CO₂_high	ABA	SO (Bool)	SO	Ca²⁺ Oscillation Possible?	PMV_pos bistability
0	0	Any	Any	Any	000	0	No	Yes
0	1	0	0	1	000	0	No	No
0	1	1	Any	1	000	0	No	Yes
1	Any	1	0	1	000	0	No	No
1	Any	1	1	1	000	0	No	Yes
0	1	1	Any	0	010	1	No	Yes
1	Any	1	1	0	010	1	Yes	Yes
0	1	0	0	0	101	3	No	No
1	0	1	0	0	101	3	Yes	No
1	Any	0	0	1	101	3	No	No
1	0	0	0	0	110	5	Yes	No
1	1	1	0	0	110	5	Yes	No
1	1	0	0	0	111	6	Yes	No

The first five columns indicate the input signal combination. The setting CO₂_high = 1 and CO₂ = 0 is not included because it is not biologically meaningful. The “SO (Bool)” column indicates the state of the Boolean node combination representing stomatal opening. The “SO” column is the state of stomatal opening when converted back to an integer. Note that the stomatal opening level of four is not defined, and no attractors have a stomatal opening level of two. The next column indicates whether Ca²⁺ oscillation can possibly happen under the given signal combination. The last column indicates whether bistability of PMV_pos can be observed under this setting. In those cases, two stable steady states with (PMV_pos = 0, K_out = 0) and (PMV_pos = 1, K_out = 1) can be observed. The rest of the nodes are unaffected by this two-node bistability

ISSN: 1752-0509

BL	RL	CO₂	CO₂_high	ABA	SO (Bool)	SO	Ca²⁺ Oscillation Possible?	PMV_pos bistability
0	0	Any	Any	Any	000	0	No	Yes
0	1	0	0	1	000	0	No	No
0	1	1	Any	1	000	0	No	Yes
1	Any	1	0	1	000	0	No	No
1	Any	1	1	1	000	0	No	Yes
0	1	1	Any	0	010	1	No	Yes
1	Any	1	1	0	010	1	Yes	Yes
0	1	0	0	0	101	3	No	No
1	0	1	0	0	101	3	Yes	No
1	Any	0	0	1	101	3	No	No
1	0	0	0	0	110	5	Yes	No
1	1	1	0	0	110	5	Yes	No
1	1	0	0	0	111	6	Yes	No

BL	RL	CO₂	CO₂_high	ABA	SO (Bool)	SO	Ca²⁺ Oscillation Possible?	PMV_pos bistability
0	0	Any	Any	Any	000	0	No	Yes
0	1	0	0	1	000	0	No	No
0	1	1	Any	1	000	0	No	Yes
1	Any	1	0	1	000	0	No	No
1	Any	1	1	1	000	0	No	Yes
0	1	1	Any	0	010	1	No	Yes
1	Any	1	1	0	010	1	Yes	Yes
0	1	0	0	0	101	3	No	No
1	0	1	0	0	101	3	Yes	No
1	Any	0	0	1	101	3	No	No
1	0	0	0	0	110	5	Yes	No
1	1	1	0	0	110	5	Yes	No
1	1	0	0	0	111	6	Yes	No

BL	RL	CO₂	CO₂_high	ABA	SO (Bool)	SO	Ca²⁺ Oscillation Possible?	PMV_pos bistability
0	0	Any	Any	Any	000	0	No	Yes
0	1	0	0	1	000	0	No	No
0	1	1	Any	1	000	0	No	Yes
1	Any	1	0	1	000	0	No	No
1	Any	1	1	1	000	0	No	Yes
0	1	1	Any	0	010	1	No	Yes
1	Any	1	1	0	010	1	Yes	Yes
0	1	0	0	0	101	3	No	No
1	0	1	0	0	101	3	Yes	No
1	Any	0	0	1	101	3	No	No
1	0	0	0	0	110	5	Yes	No
1	1	1	0	0	110	5	Yes	No
1	1	0	0	0	111	6	Yes	No