S Y NERGI s M between p-lactam antibiotics against Gram-negative bacteria is a well-recognised phenomenon (Hamilton-Miller, Smith and Knox, 1964;Sabath and Abraham, 1964;Sutherland and Batchelor, 1964), but little attention has been paid in this respect to Gram-positive bacteria. This may be because the effect is difficult to demonstrate because of the generally unfavourable kinetic characteristics of p-lactamases from Gram-positive organisms, and there seems to be little practical application for it. Kinetic considerations of a model of this type of synergism produced a means whereby the extent of synergism could be predicted (Hamilton-Miller, 1971a), and it is the purpose of the present paper to test practically the validity of the earlier theoretical analysis. In order to do this, it was decided to use a system involving synergism between cephalothin and various penicillins against Staphylococcus aureus; use of this system was suggested by the earlier findings (Hamilton-Miller, 1966 and1970) that cephalothin acted as a competitive inhibitor of staphylococcal /3-lactamase under both rigidly controlled (enzyme assay) and physiological (broth culture) conditions.
METHODS AND MATERIALSThe model. The naturally occurring lag phase in a culture of p-lactamase-producing organisms will be increased in the presence of a hydrolysable penicillin the initial concentration of which (SO) is too high to allow growth to occur. The extent of this increase VmaX. = maximum rate of hydrolysis of penicillin by penicillinase; and S, = concentration of penicillin at which the organisms can start to grow. The parameter S, represents the intrinsic resistance of the strain (see Hamilton-Miller, 1965), and will be referred to hereafter as the maximum non-inhibitory concentration (MNIC).The lag phase of the culture will be further prolonged if a competitive inhibitor of penicillinase is present, as the rate of penicillin destruction will be thereby decreased. This prolongation of lag phase (At) can be expressed (Hamilton-Miller, 1971a) by where i = concentration of competitive inhibitor and Kt = dissociation constant of penicillinase-inhibitor complex.