We present a new approach for the design of a synthetic biological circuit
whose behaviour is specified in terms of signal temporal logic (STL) formulae.
We first show how to characterise with STL formulae the input/output behaviour
of biological modules miming the classical logical gates (AND, NOT, OR). Hence,
we provide the regions of the parameter space for which these specifications
are satisfied. Given a STL specification of the target circuit to be designed
and the networks of its constituent components, we propose a methodology to
constrain the behaviour of each module, then identifying the subset of the
parameter space in which those constraints are satisfied, providing also a
measure of the robustness for the target circuit design. This approach, which
leverages recent results on the quantitative semantics of Signal Temporal
Logic, is illustrated by synthesising a biological implementation of an
half-adder
