A sigmoidal curve is a characteristic S-shaped graph that represents the relationship between a variable and its response, commonly seen in enzyme kinetics and allosteric regulation. This type of curve illustrates how a substance, such as a substrate, binds to an enzyme or receptor, showing a gradual increase in activity at low concentrations, a steep rise at intermediate concentrations, and a plateau at high concentrations. The shape of the curve is indicative of cooperative binding, where the binding of one molecule influences the binding of subsequent molecules.