摘要翻译：
在多细胞生物中，各部分之间以及各部分与整体之间的关系是相互联系、相互依存的。这些生物体和它们的细胞是个体遗传学上的联系：生物体开始是一个分裂的细胞，产生不相同的细胞，这些细胞以三维模式组织。这些结合模式和细胞类型随着组织和器官的形成而改变。这种背景性和循环性使得建立详细的因果关系变得困难。在这里，我们提出了一种方法来克服这些内在的困难，结合使用两个模型；（1）利用三维培养技术获得乳腺导管和腺泡结构的实验模型；（2）基于生物学原理的数学模型。生物学中数学建模的典型方法是应用最初在物理或计算机科学中发展起来的数学工具和概念。取而代之的是，我们建议根据适当的生物学原理构造一个数学模型。具体地说，我们使用被确定为阐述有机体理论的基本原理，即i）细胞增殖的缺省状态与变异和运动，ii）通过限制的闭合来组织的原理。这个模型有一个生物成分，细胞，和一个物理成分，一个含有胶原纤维的基质。细胞表现出能动性，除非受到限制，否则会运动和增殖；它们施加机械力，i）作用于胶原纤维，ii）作用于其他细胞。当纤维组织时，它们限制细胞的运动和增殖能力。该模型表现出圆形，可以用约束的闭合来解释。
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英文标题：
《Modeling mammary organogenesis from biological first principles: Cells
  and their physical constraints》
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作者：
Ma\"el Mont\'evil, Lucia Speroni, Carlos Sonnenschein, Ana M. Soto
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最新提交年份：
2017
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分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
  In multicellular organisms, relations among parts and between parts and the whole are contextual and interdependent. These organisms and their cells are ontogenetically linked: an organism starts as a cell that divides producing non-identical cells, which organize in tri-dimensional patterns. These association patterns and cells types change as tissues and organs are formed. This contextuality and circularity makes it difficult to establish detailed cause and effect relationships. Here we propose an approach to overcome these intrinsic difficulties by combining the use of two models; 1) an experimental one that employs 3D culture technology to obtain the structures of the mammary gland, namely, ducts and acini, and 2) a mathematical model based on biological principles. The typical approach for mathematical modeling in biology is to apply mathematical tools and concepts developed originally in physics or computer sciences. Instead, we propose to construct a mathematical model based on proper biological principles. Specifically, we use principles identified as fundamental for the elaboration of a theory of organisms, namely i) the default state of cell proliferation with variation and motility and ii) the principle of organization by closure of constraints. This model has a biological component, the cells, and a physical component, a matrix which contains collagen fibers. Cells display agency and move and proliferate unless constrained; they exert mechanical forces that i) act on collagen fibers and ii) on other cells. As fibers organize, they constrain the cells on their ability to move and to proliferate. The model exhibits a circularity that can be interpreted in terms of closure of constraints...
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PDF链接：
https://arxiv.org/pdf/1702.03337