Speck Thomas, Reister Ellen, Seifert Udo
Department of Chemistry, University of California, Berkeley, 94720, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Aug;82(2 Pt 1):021923. doi: 10.1103/PhysRevE.82.021923. Epub 2010 Aug 27.
We theoretically consider specific adhesion of a fluctuating membrane to a hard substrate via the formation of bonds between receptors attached to the substrate and ligands in the membrane. By integrating out the degrees of freedom of the membrane shape, we show that in the biologically relevant limit specific adhesion is well described by a lattice gas model, where lattice sites correspond to bond sites. We derive an explicit expression for the effective bond interactions induced by the thermal undulations of the membrane. Furthermore, we compare kinetic Monte Carlo simulations for our lattice gas model with full dynamic simulations that take into account both the shape fluctuations of the membrane and reactions between receptors and ligands at bond sites. We demonstrate that an appropriate mapping of the height dependent binding and unbinding rates in the full scheme to rates in the lattice gas model leads to good agreement.
我们从理论上考虑了波动膜通过附着在底物上的受体与膜中配体之间形成键而与硬底物的特异性粘附。通过对膜形状的自由度进行积分，我们表明，在生物学相关极限下，特异性粘附可以用晶格气体模型很好地描述，其中晶格位点对应于键位点。我们推导了由膜的热起伏引起的有效键相互作用的显式表达式。此外，我们将晶格气体模型的动力学蒙特卡罗模拟与全动态模拟进行了比较，全动态模拟同时考虑了膜的形状波动以及键位点处受体与配体之间的反应。我们证明，将全方案中高度依赖的结合和解离速率适当映射到晶格气体模型中的速率会导致良好的一致性。
