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Updated: Jun 21, 2026

An Experimental and Finite Element Protocol to Investigate the Transport of Neutral and Charged Solutes across Articular Cartilage
Published on: April 23, 2017
An innovative lattice Boltzmann model for simulating Michaelis-Menten-based diffusion-advection kinetics and its
A A Moaty Sayed1, M A Hussein, T Becker
1Technische Universität München, Life Science Engineering Department, Group of (Bio)-Process Technology and Process Analysis, Weihenstephaner Steig 20, 85354 Freising, Germany. a.sayed@wzw.tum.de
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 numerical benchmark problems and proved highly accurate results. After validation the model was used to simulate the transport of oxygen substrates that diffuse in water to feed a set of active cartilage cells inside a new designed bioreactor.
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