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l4_notes - Summary Lecture 3 Image by MIT OCW L4...

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Summary Lecture 3 Image by MIT OCW.
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L4: Cooperativity & introduction λ phage model λ phage model (Hasty et al.) as example for applying mass action law. A d k X nX P 2 DX t k P 2 DX 2 DX 2 DX 4 K 2 X 2 DX * 2 DX 3 K 2 X D 2 DX 2 K 2 X D 2 X 1 K 2X ⎯ → + + ⎯→ + ⎯ → + ⎯ → + ⎯ → + ⎯ → OR2 OR3 λ λ λ λ λ λ OR2 OR3 λ λ OR2 OR3 λ λ λ λ K 1 K 2 fast slow most important step in modeling !! most important step in modeling !! biology math
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2 K 1 K r d k γ r T d 0 p t nk α 2 K 4 K 2 σ 2 K 3 K 1 σ 1 γ x 4 x 2 σ 2 )x 1 σ (1 1 2 α x dt dx = = = = + + + + = A d k X nX P 2 DX t k P 2 DX 2 DX 2 DX 4 K 2 X 2 DX * 2 DX 3 K 2 X D 2 DX 2 K 2 X D 2 X 1 K 2X ⎯ → + + ⎯→ + ⎯ → + ⎯ → + ⎯ → + ⎯ → relative binding constants ~ synthesis/basal rate ~ degradation/basal rate mass action choose elegant (dimensionless, relative) variables !
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graphical stability analysis
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