A Fuzzy Mathematical Model for the Effect of Gastrin in Humans

Gastrin is a potent stimulant of lower esophageal sphincter pressure in human. Injections of gastrin produce a marked increase in lower esophageal sphincter pressure. Both gastrin-17 and gastrin-34 doses significantly increased lower esophageal sphincter pressure. In this paper, we developed a mathematical model for the effects of gastrin-17 and gastrin-34 on lower esophageal sphincter pressure in humans. We calculated the reliability of lower esophageal sphincter pressure on 100pmol/kg doses of gastrin-17 and gastrin-34 using Weibull distribution in fuzzy parameter. Also we calculate the reliability using three parameter Weibull distributions and compared the result with two parameters. The result shows that the alpha cut for the reliability of the effect of gastrin-34 on lower esophageal sphincter pressure is comparatively higher than the effect of gastrin-17 on LESP.