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Table 2 Toy example solution

From: ELIMINATOR: essentiality analysis using multisystem networks and integer programming

Scenario

Gene expression

Entity activity

WNT5A

FZD7

WNT3A

FZD1

WNT5A

FZD7

WNT3A

FZD1

W5F7C

W3F1C

ABSTR

A

0

1

0

1

0

0

1

1

0

1

1

B

0

1

1

1

0

0

1

1

0

1

1

C

1

1

0

1

1

1

0

0

1

0

1

A′

0

1

0

1

1

1

0

0

1

0

1

B′

0

1

1

1

0

0

1

1

0

1

1

C′

1

1

0

1

0

0

1

1

0

1

1

  1. Possible scenarios when FZD7 and FZD1 are expressed. For each scenario, the expression values of each gene and the activity values of each entity are included. W5F7C represents the WNT5A/FZD7 complex, W3F1C represents the WNT3A/FZD1 complex, and ABSTR represents the Wnt receptor signaling pathway, planar cell polarity pathway. (A) WNT5A and T3A are not expressed. For the abstract to be active we need to activate one lowly expressed gene (WNT3A in the example). (B) WNT5A is not expressed and WNT3A is expressed. For the abstract to be active we do not need to activate any lowly expressed gene. (C) WNT5A is expressed and WNT3A is not expressed. For the abstract to be active we do not need to activate any lowly expressed gene. (A′) Scenario A after FZD1 is knocked-out. For the abstract to be active we need to activate one lowly expressed gene (WNT5A in the example). (B′) Scenario B after FZD7 is knocked-out. For the abstract to be active we do not need to activate any lowly expressed gene. (C′) Scenario C after FZD7 is knocked-out. For the abstract to be active we need to activate one lowly expressed gene (WNT3A)