Looking to store 1 row, 8 column tables over a loop

Questions
,
1 
Clear["Global'*"];
nut = 46; khi = 25; ro2 = 3400; kmrs = 70; kisu = 1.2; kmp = 1.0; 
kres = 1.25;
kccc1 = 40; k23 = 16; kvp = .04; kc = 21; nc = 5; km1 = 24; nm1 = 3;
km2 = 46; nm2 = 4; kv1 = 24; nv1 = 9; kv2 = 200; nv2 = 4; k32 = 18; 
n32 = 9; a = .5;
odec = -(a c[t]) - (
   kccc1 c[t] (1 - 1/((c[t]/kv1)^nv1 + 1)))/((f3[t]/kv2)^nv2 + 1) - (
   kmrs c[t])/((fs[t]/km2)^nm2 + 1) + (khi nut)/((c[t]/kc)^nc + 1);
odefm = -(a fm[t]) + (kmrs c[t])/((fs[t]/km2)^nm2 + 1) - kisu fm[t] - 
   kmp fm[t] o2[t];
odefs = kisu fm[t] - a fs[t];
odemp = kmp fm[t] o2[t] - a mp[t];
odeo2 = -(kmp fm[t] o2[t]) - kres fs[t] o2[t] + 
   ro2/((o2[t]/245)^9 + 1);
odef2 = -(a f2[t]) - k23 f2[t] (1 - 1/((c[t]/k32)^n32 + 1)) + (
   kccc1 c[t] (1 - 1/((c[t]/kv1)^nv1 + 1)))/((f3[t]/kv2)^nv2 + 1);
odef3 = -(a f3[t]) + k23 f2[t] (1 - 1/((c[t]/k32)^n32 + 1)) - 
   kvp f3[t];
odevp = kvp f3[t] - a vp[t];
vars = {c[t], f2[t], f3[t], fm[t], fs[t], mp[t], o2[t], vp[t]};
solution = 
  NDSolve[{Derivative[1][c][t] == odec, Derivative[1][f2][t] == odef2,
     Derivative[1][f3][t] == odef3, Derivative[1][fm][t] == odefm, 
    Derivative[1][fs][t] == odefs, Derivative[1][mp][t] == odemp, 
    Derivative[1][o2][t] == odeo2, Derivative[1][vp][t] == odevp, 
    c[0] == 30, f2[0] == 100, f3[0] == 100, fm[0] == 50, fs[0] == 50, 
    mp[0] == 0, o2[0] == 100, vp[0] == 100}, vars, {t, 0, 31}];
vars
vars /. solution /. t -> 31

So what I am trying to accomplish is to take this block of code and loop it while incrementally varying one constant in the first set of code and storing the results of vars/.solution/.t->31 to be plotted against the variation in that constant. Would a for loop, table loop, or something entirely different be more effective here?

2

I think I’m getting somewhere with this, but I am hitting what appears to be a logic error. I enclosed the whole code that I posted earlier in a Table function and it outputs values, but the values given are all for kres=0. Any suggestions?

Clear["Global'*"];
Table[nut = 46; khi = 25; ro2 = 3400; kmrs = 70; kisu = 1.2; 
 kmp = 1.0; kres = 0;
 kccc1 = 40; k23 = 16; kvp = .04; kc = 21; nc = 5; km1 = 24; nm1 = 3;
 km2 = 46; nm2 = 4; kv1 = 24; nv1 = 9; kv2 = 200; nv2 = 4; k32 = 18; 
 n32 = 9; a = .5;
 odec = -(a c[t]) - (
   kccc1 c[t] (1 - 1/((c[t]/kv1)^nv1 + 1)))/((f3[t]/kv2)^nv2 + 1) - (
   kmrs c[t])/((fs[t]/km2)^nm2 + 1) + (khi nut)/((c[t]/kc)^nc + 1);
 odefm = -(a fm[t]) + (kmrs c[t])/((fs[t]/km2)^nm2 + 1) - kisu fm[t] -
    kmp fm[t] o2[t];
 odefs = kisu fm[t] - a fs[t];
 odemp = kmp fm[t] o2[t] - a mp[t];
 odeo2 = -(kmp fm[t] o2[t]) - kres fs[t] o2[t] + 
   ro2/((o2[t]/245)^9 + 1);
 odef2 = -(a f2[t]) - k23 f2[t] (1 - 1/((c[t]/k32)^n32 + 1)) + (
   kccc1 c[t] (1 - 1/((c[t]/kv1)^nv1 + 1)))/((f3[t]/kv2)^nv2 + 1);
 odef3 = -(a f3[t]) + k23 f2[t] (1 - 1/((c[t]/k32)^n32 + 1)) - 
   kvp f3[t];
 odevp = kvp f3[t] - a vp[t];
 vars = {c[t], f2[t], f3[t], fm[t], fs[t], mp[t], o2[t], vp[t]};
 solution = 
  NDSolve[{Derivative[1][c][t] == odec, Derivative[1][f2][t] == odef2,
     Derivative[1][f3][t] == odef3, Derivative[1][fm][t] == odefm, 
    Derivative[1][fs][t] == odefs, Derivative[1][mp][t] == odemp, 
    Derivative[1][o2][t] == odeo2, Derivative[1][vp][t] == odevp, 
    c[0] == 30, f2[0] == 100, f3[0] == 100, fm[0] == 50, fs[0] == 50, 
    mp[0] == 0, o2[0] == 100, vp[0] == 100}, vars, {t, 0, 31}];
 vars /. solution /. t -> 31, {kres, 0, 1, .25}]
3

If you remove the

kres = 0;

in the third line of your code then there is more variation in the results.
With that in there I think odeo2 has already substituted 0 for kres long before you get to your NDSolve.
I’m a little surprised it works at all with that in there.
I don’t know if there are other problems with the code.

4

I deleted the kres term from the third line and it appears to work and match the results I was getting from manually changing kres. I’ll save this one in my trick folder like you suggested a while back. Thanks Bill.