- 18 A Bacterial Cells Often Use The Process Of Induction To Stimulate Certain Genes For Catabolic Functions Let X Be T 1 (79.15 KiB) Viewed 24 times
this is all one problem
18. a. Bacterial cells often use the process of induction to stimulate certain genes for catabolic functions. Let x be the concentration of a protein controlled by induction satisfying the ODE: dc 6.5.22 0.50. dt 30 +12 = Find all equilibria and determine their stability. Sketch a graph of the right hand side of this differential equation, then draw the phase portrait with arrows and circles (unstable(open circle); stable(filled circle)). b. Use this model to find the concentration of the protein when the gene is turned on (stable nonzero concentration) and determine the critical threshold concentration, below which the gene is turned off