Technische Universität München, Life Science Engineering Department, Group of (Bio)-Process Technology and Process Analysis, Weihenstephaner Steig 20, 85354 Freising, Germany.
Biomech Model Mechanobiol. 2010 Apr;9(2):141-51. doi: 10.1007/s10237-009-0164-3. Epub 2009 Jul 26.
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.
格子玻尔兹曼模型（LBM）正在迅速展示其模拟大量以前需要非常复杂方法的流体动力学问题的能力。本研究提出了一种用于模拟二维层流中基质扩散 - 对流输运的 LBM。该模型考虑了基质流入放置在流场中的一组活性细胞。使用 LBM 通过米氏 - 门捷列夫动力学来模拟细胞活性的一种新的创新方法。该模型通过一些数值基准问题进行了验证，并证明了其具有高度准确性的结果。验证后，该模型用于模拟氧气基质在水中的传输，以喂养新设计的生物反应器内的一组活性软骨细胞。
