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Solving DEs by NDSolve

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41012] Solving DEs by NDSolve
  • From: "Sheth, Payal R." <prsheth at utmb.edu>
  • Date: Tue, 29 Apr 2003 05:21:10 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

I have been having consistent problems applying the
NDSolve function to a set of differential equations.
I keep getting the error stating

NDSolve::"ndnum": "Encountered non-numerical value for a derivative at \
\!\(t\) == \!\(1.9000180679486`*^-311\)."

I do not have a training in differential equations as such, so it is very
difficult for me to nail down the problem. Any help would be
extremely appreciated. 

NDSolve[{A'[t] == -k1*e[t]*l[t] + 
      k11*c[t] + k2*e[t] - k22*A[t] - ((vmaxe*A[t])/(Kme + A[t])) +
kcat*c[t],
         e'[t] == +((vmaxe*A[t])/(Kme + A[t])) - k2*e[t] + k22*A[t],
    l'[t] == -k1*a[t]*l[t] + k11*c[t] + ((vmaxl*b[t])/(Kml + b[t])),
    b'[t] == kcat*c[t] - ((vmaxl*b[t])/(Kml + b[t])),
    c'[t] == k1*A[t]*l[t] - k11*c[t] - kcat*c[t], 
    A[0] == 0.00, e[
      0] == 100, l[0] == 100, b[0] == 0, c[0] == 0}, {A, e, l, 
        b, c}, {t, 0, 100}]



k1 = 0.09;
k11 = 0.6;
kcat = 25;
k2 = 1;
k22 = 0.01;
vmaxe = 450;
Kme = 50;
vmaxl = 1;
Kml = 100;

Best Regards,
Payal Sheth


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