Re: Solving DEs by NDSolve
- To: mathgroup at smc.vnet.net
- Subject: [mg41035] Re: Solving DEs by NDSolve
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Wed, 30 Apr 2003 04:19:09 -0400 (EDT)
- Organization: Universitaet Leipzig
- References: <b8lgh1$99s$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
and what is a[t] in
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])),
^^^^
here ??
> 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}]
Regards
Jens
"Sheth, Payal R." wrote:
>
> 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