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In this study, a variety of linear and nonlinear biostatistical models of regression were tested to evaluate the histamine-induced gastric acid secretion using the lumen-perfusion model in the rat. Among the linear, parabolic, and polynomial models tested, 3rd- and 4th-order polynomial models of regression exerted best correlations between the time and histamine-induced gastric acid secretion. In order to avoid undulatory behaviors in the regression curves, we conducted the polynomial regression analysis up to 5th order.
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