hw 5 - Homework #5 ChE 361 Spring 2010 Problem 1. Consider...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Homework #5 ChE 361 Spring 2010 Problem 1. Consider the following dynamic model for sustained oscillations in yeast glycolysis: dG dt = V in - k 1 GA = f 1 ( G,A ) dA dt = 2 k 1 GA - k p A K m + A = f 2 ( G,A ) where G and A are the intracellular concentrations of glucose and ATP, respectively, V in = 0.36 is the constant flux of glucose into the yeast cell, k 1 = 0.02 is an enzyme activity, and the parameters k p = 6.0 and K m = 13.0 determine the kinetics of ATP degradation. Consider the following steady-state solution: ¯ G = 10.15, ¯ A = 1.77. 1. Derive the linearized model dx dt = Ax at this steady-state point. 2. Determine the stability of the steady state by computing the eigenvalues of the A matrix. Verify your answer with Matlab. What can be claimed about stability away from this steady-state point? Problem 2. Consider the batch operation of a flash drum for separating a binary liquid mixture. The drum has liquid molar holdup
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/24/2010 for the course CHEM-ENG 361 taught by Professor Henson during the Spring '10 term at UMass (Amherst).

Page1 / 2

hw 5 - Homework #5 ChE 361 Spring 2010 Problem 1. Consider...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online