DSGRN Group Meeting Presentation 1 Adam Zheleznyak DIMACS REU 2020 - - PowerPoint PPT Presentation

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dsgrn group meeting presentation 1

DSGRN Group Meeting Presentation 1 Adam Zheleznyak DIMACS REU 2020 - - PowerPoint PPT Presentation

Sep 17, 2022 200 likes •324 views

DSGRN Group Meeting Presentation 1 Adam Zheleznyak DIMACS REU 2020 June 9, 2020 Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 1 / 4 My Goal Current Questions: Can DSGRN be generalized to account for

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SLIDE 1

DSGRN Group Meeting Presentation 1

Adam Zheleznyak

DIMACS REU 2020

June 9, 2020

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 1 / 4

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SLIDE 2

My Goal

Current Questions: Can DSGRN be generalized to account for several toggles? Could this give more interesting information compared to the simpler model?

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 2 / 4

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SLIDE 3

My Goal

Current Questions: Can DSGRN be generalized to account for several toggles? Could this give more interesting information compared to the simpler model?

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 2 / 4

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SLIDE 4

My Goal

Current Questions: Can DSGRN be generalized to account for several toggles? Could this give more interesting information compared to the simpler model?

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 2 / 4

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SLIDE 5

How should we even model this?

Two possible ways to decide on the threshold type (i.e. two ways to generalize the activation and inhibition):

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 3 / 4

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SLIDE 6

How should we even model this?

Two possible ways to decide on the threshold type (i.e. two ways to generalize the activation and inhibition):

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 3 / 4

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SLIDE 7

How should we even model this?

Two possible ways to decide on the threshold type (i.e. two ways to generalize the activation and inhibition):

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 3 / 4

slide-8

SLIDE 8

How should we even model this?

Two possible ways to decide on the threshold type (i.e. two ways to generalize the activation and inhibition):

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 3 / 4

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SLIDE 9

How should we even model this?

Two possible ways to decide on the threshold type (i.e. two ways to generalize the activation and inhibition): Note that the first is more restrictive. However:

Conjecture

For any binary threshold type, there exists a corresponding permutation threshold type.

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 3 / 4

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SLIDE 10

Phase diagrams of the simplest cases

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 4 / 4

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SLIDE 11

Phase diagrams of the simplest cases

Adam Zheleznyak (DIMACS REU 2020) DSGRN Group Meeting Presentation 1 June 9, 2020 4 / 4