Estimation of the molecular volumes of the reaction products between beta-lactam antibiotics and aminoglycoside antibiotics, and those of the degradation products of beta-lactam antibiotics by isotachophoresis

The correlative equations between the molecular volume and the qualitative indication (hR) for beta-lactam antibiotics, the reaction products between beta-lactam antibiotics and kanamycin, and the degradation products of beta-lactam antibiotics were hR = 0.32 + 0.080 VA2/3//Z/(N = 15, r = 0.972 for penicillins) and hR = 0.04 + 0.072 VA2/3//Z/(N = 12, r = 0.987 for cephems). Where VA is van der Waals volume (A3/molecule), hR is the relative step height in the isotachopherogram, and Z is the electric change, respectively. According to these equations, the molecular volumes of the reaction products between beta-lactam antibiotics and the other aminoglycoside antibiotics, and those of the degradation products of beta-lactam antibiotics can be estimated from the value of hR. Also according to the step height in the isotachopherogram, the reaction products or the degradation products may be estimated directly when the electric charge is known. It was confirmed that a molecule of aminoglycoside antibiotics reacted with a molecule of beta-lactam antibiotics. Therefore, the inactivation of aminoglycoside antibiotics is much greater than for beta-lactam antibiotics when the clinical doses of these antibiotic combinations are used.