exam3_wsoln

exam3_wsoln - MIT 20.181 Module 3 Exam 13 December 2006...

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MIT 20.181 Module 3 Exam 13 December 2006 Question 0 (1 points) Write down your name: _________________ Question 1 (20 points) The following statements refer to the physical assumptions that currently underlie exact discrete reaction event simulators for coupled chemical systems introduced in class. Mark whether each statement is true (T) or false (F). ___ T ___ The system is spatially homogeneous (i.e., well-mixed). ___ F __ Most particle-particle collisions result in chemical reactions. ___ F __ More than one reaction event can occur at the same instant in time. ___ T __ Chemical systems contain integer numbers of molecules. Question 2 (27 points) Enzyme-catalyzed reactions are often approximated via a Michaelis-Menten rate term. Here, write down the set of elementary chemical reactions that exactly describe an en- zyme catalyzed reaction (below). Also, calculate the individual reaction event propen- sity, c , for each reaction; use bulk rate constants of k 1 = 1E9M -1 s -1 , k -1 = 314s -1 , k 2 = 1s -1 and a V system = 1E-15L. R1. E + S -> ES c1 = 1E9/M/s * 1/[(6E23#/mole)(1E-15L/system)] ~= 1/#/s R2. ES -> E + S c2 = 314/s R3. ES -> E + P c3 = 1/s [Please note the units on c1. # implies units of “number of unique reaction event combinations.” This will be multiplied by h to cancel out the /# units.] 1
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MIT 20.181 Module 3 Exam
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This note was uploaded on 11/11/2011 for the course BIO 20.010j taught by Professor Lindagriffith during the Spring '06 term at MIT.

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exam3_wsoln - MIT 20.181 Module 3 Exam 13 December 2006...

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