In the following I am using one function makeFunc to assemble two functions a[t] and b[t] to pass to use in the formation of a Table. makeFunc appears to be doing its job appropriately because the error messages and Trace show that it has assembled a[t] and that the Table construct has evaluated the t portion of the function. However, a[t] is not evaluating itself and so the Table appears as a[0], a[30], etc.

tempMakeTableAn[{analEqs_, concs_, initConcs_, rateConstants_, 
    timeDom_, timeInc_}] :=
  Module[{a, b},
   a[t_] := 
    aZero Exp[-k1 t] /. Evaluate[Join[initConcs, rateConstants]];
   b[t_] := 
    bZero + 1 - aZero a[t] /. Evaluate[Join[initConcs, rateConstants]];

   makeFunc[conc_, time_] := Evaluate[conc[time]];

   Column[{Table[{a[t], b[t]}, {t, 0, 300, 30}],
     Table[makeFunc[#, timeDom[[1]]] & /@ concs, {t, 0, 300, 30}]}]    
];

tempMakeTableAn[{{Hold[a[t_] := aZero Exp[-k1 t], 
    b[t_] := bZero + 1 - aZero a[t]]}, {a, b}, {aZero -> 1, 
   bZero -> 0}, {k1 -> .01}, {t, 0, 300}, {30}}]

{ {{{1, 0}, {0.740818, 0.259182}, {0.548812, 0.451188}, {0.40657, 0.59343}, {0.301194, 0.698806}, {0.22313, 0.77687}, {0.165299, 0.834701}, {0.122456, 0.877544}, {0.090718, 0.909282}, {0.0672055, 0.932794}, {0.0497871, 0.950213}}},

{{{a[0], b[0]}, {a[30], b[30]}, {a[60], b[60]}, {a[90], b[90]}, {a[120], b[120]}, {a[150], b[150]}, {a[180], b[180]}, {a[210], b[210]}, {a[240], b[240]}, {a[270], b[270]}, {a[300], b[300]}}} }

This appears to have something to do with the way that I am utilizing the Slot (#) as you can see that when I entered in a[t] and b[t] directly, the Table works.

I think that this may have to do with scoping of the variables, because if I remove a and b as declared variables in the Module, everything works as expected. I.e. a and b get defined globally and the expected Table appears.

I have also tried some judiciously placed Evaluate statements to see if that is what was needed, but that didn't make any changes.

I have found a couple of questions that I thought might be applicable (Using pure functions in Table,Evaluate[] seems to not work inside Button[]), but since the construct works when the variables are declared globally, I don't understand why it doesn't work when they are declared within the module.

Any help would be appreciated. [If somebody can come up with a better Title, have at it. This was the best that I could figure out].