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Processes 2019, 7(3), 132; https://doi.org/10.3390/pr7030132

Simulating Stochastic Populations. Direct Averaging Methods

School of Chemical Engineering, Purdue University, West Lafayette, IN 47907, USA
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Received: 17 January 2019 / Revised: 14 February 2019 / Accepted: 19 February 2019 / Published: 4 March 2019
(This article belongs to the Special Issue Recent Advances in Population Balance Modeling)
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Abstract

A method of directly computing the average behavior of stochastic populations is established, which obviates the time-consuming process of generating detailed sample paths. The method relies on suitably discretized time intervals in which nonlinearities are quasi-linearized to produce random variables with known expectations and variances. The pair of equations is directly solved to obtain the average behavior of the system at the end of a time interval based on its knowledge at the beginning of the interval. The sample path requirement for this process is considerably lower than that for the process over the entire simulation period. The efficiency of the method is demonstrated on the transfer of antibiotics resistance between two bacterial species which is a problem of mounting concern in fighting disease. View Full-Text
Keywords: stochastic simulation; direct averaging; drug resistance; transfer stochastic simulation; direct averaging; drug resistance; transfer
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Tran, V.; Ramkrishna, D. Simulating Stochastic Populations. Direct Averaging Methods. Processes 2019, 7, 132.

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