BENG 449 Problem 7 2

# BENG 449 Problem 7 2 - 4/3/08 8:40 PM C:\Documents and...

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4/3/08 8:40 PM C:\Documents and Settings\Alex Lemon\My . ..\BENG 449 Problem 7 2.m 1 of 2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Alex Lemon % % BENG 449 -- Biomedial Data Analysis % % Problem Set 7, Question 2 % % Due April 4th, 2008 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % For enzyme-catalyzed reactions, the Michaelis-Menten rate equation for % substrate C is: % C' = - Vmax * C / (Km + C) % a.) Use a numerical ODE solver in Matlab to determine C(t) assuming that % C(t = 0) = C0 = 10, with Vmax = 1, Km 5 and t ranges from 0 to 1000. C0 = 10; Vmax = 1; Km = 5; tspan = [0 1000]; [t,C]=ode45(@RateEquation,tspan,C0,[],Vmax,Km); figure(1); plot( t, C ); title('Michaelis-Menten Reaction Model for an Enzymed-Catalyzed Reaction'); xlabel('Time, t'); ylabel('Substrate Concentration, C'); % b.) Integrate the Michaelis-Menten equation analytically to obtain an % implicit solution for C(t). % Km * ln(C) + C = (Km * ln(C0) + C0) - Vmax * t

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## This note was uploaded on 07/19/2008 for the course BENG 449 taught by Professor Richardcarson during the Spring '08 term at Yale.

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BENG 449 Problem 7 2 - 4/3/08 8:40 PM C:\Documents and...

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