A method of evaluating drug efficacy by statistical analysis of healing speed of peptic ulcer

At present, the evaluation of anti-ulcer drugs is generally accomplished simply by calculating the cumulative healing rate at a certain point of time during treatment, which does not implicate any analysis of the healing speed of the ulcer. If the cumulative healing rate of an ulcer is expressed as a function of drug administration time, t, then it will be possible to calculate parameters concerning the healing speed of ulcers and thus evaluate drug efficacy as the time series analysis of the cumulative healing rate. A new method of evaluating anti-ulcer drugs by a statistical analysis of healing speed is proposed. A non-linear regression analysis was performed between two variables, t (time of drug administration: week) and y (non-healing rate: %), to obtain the exponential function y = Ae-kt. The theoretical values calculated from the exponential equation were in close proximity to the observed values. With this analysis, four parameters concerning the healing speed were defined, namely the healing rate constant, the initiation time of healing, the half-life of non-healing rate and the time necessary for 50% healing. With this method, the efficacy of drugs on peptic ulcer healing was dynamically analysed, the non-healing rate (y) being expressed as an exponential function of length of time (t) of treatment, thus obtaining digital parameters for healing speed.