{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

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

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

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 M and liquid mole fraction of the more volatile component x . A constant rate of heat Q

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### 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
Ask a homework question - tutors are online