In many of the systems we have investigated, the dynamics of the concentrations of the respective species over time are of interest. Oftentimes, though, the rate of an enzyme catalyzed reaction is important. As an example, firefly luciferase is a commonly used reporter enzyme. It catalyzes oxidation of luciferin, emitting a photon in the process. a) Why is it important to consider the rate of this reaction? b) Under certain conditions, this enzymatic reaction can be described with MichaelisMenten kinetics with Michaelis constant KM=100M and kcat=0.04molluciferasesmoloxyluciferin. (This is a rather slow luciferase, see, e.g., a "typical luciferase.") In a typical assay, 100,000 cells are suspended in a 100L microplate well, with each cell having expressed about 100,000 molecules of luciferase. Luciferin is added suddenly such that its concentration in the well is 1mM and the total well volume is still approximately 100L. What is the maximal rate of photon emission? How long does it take for the photon emission rate to be 90% of its maximal value? How about to be 50% its maximal value