Review Turing-Gierer-Meinhardt models Local excitation, global inhibition 22r+hq

creation of membrane associated minD first order first order autocatalytic inhibited by (linear, oligomerization) membrane minE, MM)

Wrapping up E coli chemotaxis (L7& L8) Main points of last 2 lectures L7: Biological background what is the function of the individual molecules L8: modeling of all possible chemotactic reactions why doesn't this model reproduce experimentally observed perfect adaptation

Organizational Remarks: ps#2,1b: Correction: Plot k, and for L= 0...2/K L (NOT: Plot ka and for L 0...2KL) Tomorrow's recitation topic: 'PS #2 support

L14: 14 Lectures past and 1 1 to go Part 'The cell as a well-stirred bioreactor topICs Lambda phage lysis-lysogeny switch Synthetic genetic switch Switches as memory storage Chemotaxis: perfect adaptation or not? Synthetic genetic oscillators

Fine tuned model for perfect adaptation spiro et a1.PNAs94,7263-7268(1997) A model of excitation and adaptation in bacterial chemotaxis

Mathematical basis of stability analysis =f(x,y) system of two coupled differential equations y=g(x,y) step 1 find nullclines and fixed point(s)

L4: Cooperativity introduction 2 phage model n phage model (Hasty et al.) as example for applying mass action law

ntroducing… ecture Recitations TR1:00-2:30PM W4:00-5:00PM Alexander van Oudenaarden juan pedraza

麻省理工大学：《Systems Biology》Review lecture 2 Michaelis-Menten kinetics