Network Development in Biological Gels: Role in Lymphatic Vessel Development
Network Development in Biological Gels: Role in Lymphatic Vessel Development
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生物凝胶中的网络发育：在淋巴管发育中的作用
DOI：
10.1007/s11538-008-9324-3
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发表时间：
2008
影响因子：
3.5
通讯作者：
A. Fowler
中科院分区：
文献类型：
--
作者：
T. Roose;A. Fowler
在本文中，我们提出了一个模型，解释了在胶原蛋白凝胶的淋巴管形态的预图案化。该模型是使用Flory及其同事的两相橡胶材料理论导出的，并且它由描述胶原体积分数的演变和胶原植入物中质子浓度的演变的两个耦合的四阶偏微分方程组成;如博德曼和Swartz（Circ. Res. 92，801-808，2003）。使用线性稳定性分析，我们发现，以上的质子浓度的临界水平，空间模式的形式，由于在最初的均匀稳定状态的小扰动。使用长波长约化，我们可以将两个耦合的偏微分方程约化为一个非常类似于Cahn-Hilliard方程的四阶方程;然而，它具有更复杂的非线性和退化。我们提出了数值模拟的结果，并讨论了我们的模型的生物意义。
In this paper, we present a model that explains the prepatterning of lymphatic vessel morphology in collagen gels. This model is derived using the theory of two phase rubber material due to Flory and coworkers and it consists of two coupled fourth order partial differential equations describing the evolution of the collagen volume fraction, and the evolution of the proton concentration in a collagen implant; as described in experiments of Boardman and Swartz (Circ. Res. 92, 801–808, 2003). Using linear stability analysis, we find that above a critical level of proton concentration, spatial patterns form due to small perturbations in the initially uniform steady state. Using a long wavelength reduction, we can reduce the two coupled partial differential equations to one fourth order equation that is very similar to the Cahn–Hilliard equation; however, it has more complex nonlinearities and degeneracies. We present the results of numerical simulations and discuss the biological implications of our model.
DOI：
10.1073/pnas.0604460103
发表时间：
2006-07-18
影响因子：
11.1
作者：
Zaman, Muhammad H.;Trapani, Linda M.;Matsudaira, Paul
通讯作者：
Matsudaira, Paul
狗血浆和淋巴液之间大分子运输的早期动力学。
DOI：
10.1152/ajpheart.1980.239.4.h525
发表时间：
1980
期刊：
The American journal of physiology
影响因子：
--
作者：
Watson,PD;Bell,DR;Renkin,EM
通讯作者：
Renkin,EM