traditional mathematical methods (ODE, PDE, statistical approaches):
can describe macroscopic properties of a system that is already known, but don't explain the origin of those properties. (e.g. rate constants)
cannot be easily extrapolated to situations where the assumptions behind the equations no longer hold. (e.g. Hookes law F = -kx)
don't handle discontinuous systems well
don't handle heterogenity in populations well
but: