Matlab: finding coefficients of ODE system

I have all the data and an ODE system of three equations which has 9 unknown coefficients (a1, a2,..., a9).

   dS/dt = a1*S+a2*D+a3*F
   dD/dt = a4*S+a5*D+a6*F
   dF/dt = a7*S+a8*D+a9*F

 t = [0 1 2 3 4 5 6 7 8 9 10 11] 
 S = [17110 18045 19898 22069 23621 24414 24294 24433 24302 23107 22074 21162]
 D = [1157.33 1231.92 1248.94 1188.33 1268.95 1215.5 1298.84 1302.99 1235.16 1210.36 1535.1 1541.52]
 F = [104181 104790 112092 123490 140048 149941 172326 194574 227427 219278 215672 242864]

How to find these coefficients (a1,..., a9) of an ODE using Matlab?

[Jan]

This is a "paremeter estimation problem". Ask Google to find out more.