Mathematical model by using birth death processes to estimate the gallbladder mean emptying curves

Abstract

An impaired contractility has been suggested as a contributor to the increased incidence of gallstones in liver cirrhosis, but the few studies on gall bladder emptying in cirrhotics offered contradictory results. Ingestion of a meal triggers the physiological pathway of gall bladder emptying; therefore, it was decided to analyse postprandial kinetics by investigating simultaneously the rates of gastric and gall bladder emptying of a mixed meal in patients with liver cirrhosis. Using the birth death processes taking the values in but allow the death rate in state to be a positive so that escape