2009
DOI: 10.1007/s10237-009-0164-3
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An innovative lattice Boltzmann model for simulating Michaelis–Menten-based diffusion–advection kinetics and its application within a cartilage cell bioreactor

Abstract: Lattice Boltzmann models (LBM) are rapidly showing their ability to simulate a lot of fluid dynamics problems that previously required very complex approaches. This study presents a LBM for simulating diffusion-advection transport of substrate in a 2-D laminar flow. The model considers the substrate influx into a set of active cells placed inside the flow field. A new innovative method was used to simulate the cells activity using the LBM by means of Michaelis-Menten kinetics. The model is validated with some … Show more

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Cited by 11 publications
(7 citation statements)
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“…Perfusion bioreactors are often simulated using generalized assumptions and simplifications; while these simpler models provide quick answers, they are limited to a maximum number of species and more over only provide an approximation of the operational parameters (Cioffi et al, 2006; Hidalgo‐Bastida et al, 2012; Okkels et al, 2011; Raimondi et al, 2006). Recently, new models for tissue engineering transport phenomena have been based in the lattice Boltzmann equation (LBE) technique, which is suited to parallel computation, multi‐scaling and to simple handling of complex boundary shaped scaffolds (Hussein et al, 2008; Moaty Sayed et al, 2010; Porter et al, 2005; Voronov et al, 2010; Youssef et al, 2012). LBE differs from conventional forms of computational fluid dynamics (CFD) by solving flow and CD at a micro‐scale.…”
Section: Introductionmentioning
confidence: 99%
“…Perfusion bioreactors are often simulated using generalized assumptions and simplifications; while these simpler models provide quick answers, they are limited to a maximum number of species and more over only provide an approximation of the operational parameters (Cioffi et al, 2006; Hidalgo‐Bastida et al, 2012; Okkels et al, 2011; Raimondi et al, 2006). Recently, new models for tissue engineering transport phenomena have been based in the lattice Boltzmann equation (LBE) technique, which is suited to parallel computation, multi‐scaling and to simple handling of complex boundary shaped scaffolds (Hussein et al, 2008; Moaty Sayed et al, 2010; Porter et al, 2005; Voronov et al, 2010; Youssef et al, 2012). LBE differs from conventional forms of computational fluid dynamics (CFD) by solving flow and CD at a micro‐scale.…”
Section: Introductionmentioning
confidence: 99%
“…This cyclic flow field can be achieved by means of low frequency piezo elements embedded in the bioreactor, which can be a promising modification, but investigation on the presence of an electric field on the grown cells may be necessary. • Other ideas of pressurised moving flow field have shown promising result (Moaty et al 2009), this could be further investigated and applied on the scaffolds.…”
Section: Resultsmentioning
confidence: 97%
“…Along with the enhanced ability of complex geometry solutions, the method deals with the walls as a bounce back effect. Besides, the ability to fully model different chemical reactions and kinetics especially cell activity was as well achieved (Hussein 2006;Hussein et al 2008a, b;Moaty et al 2009). In consequence, LBM has proven relieving all sophistications in modelling such complicated biotechnological aspects.…”
Section: Introductionmentioning
confidence: 97%
“…4 Several other bioreactor models have been already characterized by CFD modeling of internal flow and pressure distribution. 11,26,28,34,4951 In our model, CFD simulation helped define the optimal design for laminar flow perfusion with concomitant pressure regulation via an internal iris system. To our knowledge, this approach is unique compared with existing perfusion bioreactor models.…”
Section: Discussionmentioning
confidence: 99%
“…23,2528 Most of these models have focused on describing the flow through porous scaffolds using various approaches, without taking the shape of the reactor itself into account. 23,27,2934 Considering the bioreactor shape in the modeling approach, a recent study suggested a quadrangular design being superior to the frequently used cylindrical design for improved scaffold perfusion.…”
Section: Introductionmentioning
confidence: 99%