‘Computational’ suggests it’s independent of the material substrate. I.e. no matter what computational system you use to implement a particular algorithm (silicon chips, biological neurons, pulleys and levers, dominoes etc), it will produce the same result. (Universality of Computation).

‘Biologically driven’ suggests that the result is caused by bio-chemical reactions, and thus trying to implement such a system computationally, would merely be a ‘simulation’, and not give the same results. E.g. Creating a substrate independent implementation of ‘photosynthesis’ (e.g. in software) will not actually create ‘real’ (i.e. in the world we live) energy from sunlight.