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A Simple,Realistic Stochastic Model of Gastric Emptying
Authors:Jiraphat Yokrattanasak  Andrea De Gaetano  Simona Panunzi  Pairote Satiracoo  Wayne M Lawton  Yongwimon Lenbury
Institution:1Department of Mathematics, Mahidol University, Bangkok 10400, Thailand;2Center of Excellence in Mathematics, Bangkok 10400, Thailand;3Institute of System Analysis and Informatics (IASI) “A. Ruberti”, National Research Council (CNR), Rome, Italy;4School of Mathematics and Statistics, University of Western Australia, Perth, Australia;Montclair State University, UNITED STATES
Abstract:Several models of Gastric Emptying (GE) have been employed in the past to represent the rate of delivery of stomach contents to the duodenum and jejunum. These models have all used a deterministic form (algebraic equations or ordinary differential equations), considering GE as a continuous, smooth process in time. However, GE is known to occur as a sequence of spurts, irregular both in size and in timing. Hence, we formulate a simple stochastic process model, able to represent the irregular decrements of gastric contents after a meal. The model is calibrated on existing literature data and provides consistent predictions of the observed variability in the emptying trajectories. This approach may be useful in metabolic modeling, since it describes well and explains the apparently heterogeneous GE experimental results in situations where common gastric mechanics across subjects would be expected.
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