### Unstable Pairs 3

Chaotic Pairs
Nodes that mutually increase each other, such as when both `A increases B` and ```B increases A```.
Dampened Pairs
Nodes that mutually decrease each other, such as when both `A decreases B` and ```B decreases A```.

While neither chaotic nor dampened pairs are biologically invalid, they require additional context to understand their regulation.

Type Node A Node B
Chaotic bp(GOBP:"T-helper 2 cell differentiation") p(RGD:Il4)
Chaotic p(RGD:Il4) p(RGD:Stat6)
Dampened p(RGD:Gata3) p(RGD:Runx3)

Analysis of triple stability comes from a deep graph theoretic background. It identifies triangles within the graph that have logically inconsistent relations.

Separately Unstable Triplet
When both `A positiveCorrelation B`, `B negativeCorrelation C`, but `C positiveCorrelation A`.
Mutually Unstable Triplets
When both `A negativeCorrelation B`, `B negativeCorrelation C`, and `C negativeCorrelation A`.
When `A increases B`, `A decreases C`, and ```C positiveCorrelation A```.
Increase Mismatch Triplet
When `A increases B`, `A increases C`, and ```C negativeCorrelation A```.
Decrease Mismatch Triplet
When `A decreases B`, `A decreases C`, and ```C negativeCorrelation A```.
Type Node A Node B Node C
Jens bp(GOBP:"T-helper 2 cell differentiation") p(RGD:Il4) p(RGD:Stat6)
Jens p(RGD:Il4) p(RGD:Il4r) p(RGD:Stat6)
Jens p(RGD:Il12rb2) p(RGD:Jak2) p(RGD:Stat4)
Jens bp(GOBP:"T-helper 1 cell differentiation") p(RGD:Ifng) p(RGD:Tbx21)
Increase Mismatch p(RGD:Notch1) p(RGD:Il4) p(RGD:Tbx21)

### Unstable Triplets 3

Like unstable pairs, unstable triplets require additional context to understand their mechanisms of regulation.

Chaotic Triplets
A triplet of nodes that mutually increase each other, such as when ```A increases B```, `B increases C`, and `C increases A`.
Dampened Triplets
A triplet of nodes that mutually decreases each other, such as when ```A decreases B```, `B decreases C`, and `C decreases A`.
Type Node A Node B Node C
Chaotic bp(GOBP:"T-helper 2 cell differentiation") p(RGD:Il4) p(RGD:Stat6)
Chaotic p(RGD:Il4) p(RGD:Il4r) p(RGD:Stat6)
Chaotic p(RGD:Il12rb2) p(RGD:Jak2) p(RGD:Stat4)