Problem 4 Comes With A Solved Problem As A Hint 1 (99.87 KiB) Viewed 30 times
Problem 4 Comes With A Solved Problem As A Hint 2 (171.38 KiB) Viewed 30 times
Problem 4 (20pts) Consider the possible circuit topologies below, in which A and B are proteins activating (+) and repressing (1) transcription. Use Bendixson's criterion to rule out topologies that cannot give rise to closed orbits. (a) (b) (c) (d) B A B (B B (e) (f) (g) (h) A Có a b (a 6 6 6) B (В (A B Hint See Example 3 under BFS_Practie_Problems/Oscillations.
CHAPTER #3 Consider the following general circuit A (B where no represents either activation of repression. are 46,3 9263) s Therefore, the dynamics of the systeme given by Å Å f (A,B) - B = fg (A,B) -8BB Denue conditions for FA (A,B) and fz (A,B) that the systeme will not oscillate. 8A that eusure cau aga DA IB Ouer а To invoke the Beudixson criteriou, if we show that does not change siga (and not identically tero) region Cuo leoles) then there ne closed erbits the region aga afa afB OA 23 sieeply connected are in Ofe -684 +30) t a A 2B 180 If afa ӘA 2f3 OR 2. so ло sigu change - suo oscillations
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