Michaelis-Menten kinetics were selected for the nutrient-dependent bacterial growth rate in Section 4.4. (a) Show that if K(C) is given by equation (15) a half-maximal growth rate is attained when the nutrient concentration is C=Kn. (b) Suppose instead we assume that K(C)=Km C, where Km is a constant. How would this change the steady state (N̅1, C̅1) ? (c) Determine whether the steady state found in part (b) would be stable. | Numerade
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