Mechanistic mixture models of mechanics of morphogenesis with murine measurement

描述（由申请人提供）：目标：生活世界嵌入在物理世界中。小生物生活在一个扩散的世界里。我们其余的人需要一个管道系统来运输我们生活所需的所有物质。支管系统存在于肺、肾、乳腺和许多其他器官中。这个项目的主要目标是了解创建分支系统的组织动力学机制。它还旨在阐明使用形态发生的连续力学模型来实际描述发育组织中的力学和运输的最佳方法。此外，该项目将开发具有界面的混合模型的新数值方法。然后，我们将在一个实时的活分支系统，即早期胚胎肺中测试这些模型。

DESCRIPTION (provided by applicant): Objectives: The living world is embedded in the physical world. Small organisms live in a world of diffusion. The rest of us require a system of ducts for transport of all the materials we need to live. Systems of branched ducts are found in lung, kidney, mammary gland, and many other organs. This project's primary objective is to understand the mechanisms of tissue dynamics that create branched systems. It also aims to clarify the best ways to work with continuum mechanical models of morphogenesis to realistically describe mechanics and transport in developing tissues. Additionally, the project will develop new numerical methods for mixture models with interfaces. We will then test these models in a real time living branching system, the early embryonic lung. Aim 1: Develop accurate, stable, efficient methods for solving mixture problems with sharp interfaces. Aim 2: Develop a suite of models of the mechanical aspects of branching epithelia.