MULTISCALE MODELING OF THE RESPIRATORY TRACT
MULTISCALE MODELING OF THE RESPIRATORY TRACT
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DOI：
10.1142/s0218202510004155
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发表时间：
2010-01-01
影响因子：
3.5
通讯作者：
Maury, Bertrand
中科院分区：
文献类型：
--
作者：
Baffico, Leonardo;Grandmont, Celine;Maury, Bertrand
我们在这里提出了一个分解的呼吸树分为三个阶段，对应于不同的机械模型。所得到的系统描述的Navier-Stokes方程耦合的ODE（一个简单的弹簧模型）表示的运动的胸腔。我们证明了这个问题至少有一个解决方案，在当地的任何数据的时间，在弹簧刚度等于零的特殊情况下，我们得到了一个存在性的结果，提供的数据是足够小的全球时间。的全球模型的行为示出了三维模拟。
We propose here a decomposition of the respiratory tree into three stages which correspond to different mechanical models. The resulting system is described by the Navier-Stokes equation coupled with an ODE (a simple spring model) representing the motion of the thoracic cage. We prove that this problem has at least one solution locally in time for any data and, in the special case where the spring stiffness is equal to zero, we obtain an existence result globally in time provided that the data are small enough. The behavior of the global model is illustrated by three-dimensional simulations.