Nucleated polymerization with secondary pathways. I. Time evolution of the principal moments.
Nucleated polymerization with secondary pathways. I. Time evolution of the principal moments.
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与次级途径成核聚合。 I.主要时刻的时间演变。
DOI：
10.1063/1.3608916
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发表时间：
2011-08-14
期刊：
影响因子：
--
通讯作者：
Knowles TP
中科院分区：
文献类型：
--
作者：
Cohen SI;Vendruscolo M;Welland ME;Dobson CM;Terentjev EM;Knowles TP
导致线性结构的自组装过程在分子生物学中经常被观察到，包括功能性细丝的形成，如肌动蛋白和微管蛋白，以及通常功能失调的细丝，如淀粉样蛋白聚集体。尽管描述这些现象的基本动力学方程已经建立，但由于它们的非线性性质，除特殊情况外，推导这些方程的解已被证明是具有挑战性的。除了从标准拟合程序中已经获得的滞后时间和最大生长速率等现象学参数外，一般分析解的可用性为从生长动力学的宏观实验测量分析中确定分子水平过程的速率提供了一条途径。我们在这里描述了一种基于定点分析的分析方法，它为丝状结构的生长提供了自一致的解决方案，除了伸长之外，丝状结构还可以经历内部断裂和单体依赖成核，作为产生新的自由末端作为生长位点的机制。我们的结果概括了s型生长动力学的解析表达式，从Oosawa理论的有核聚合到断裂细丝的情况。我们以封闭的形式确定了相应的生长规律，并从第一性原理推导出许多关系，这些关系已经在经验上建立了淀粉样原纤维自组装的动力学。
Self-assembly processes resulting in linear structures are often observed in molecular biology, and include the formation of functional filaments such as actin and tubulin, as well as generally dysfunctional ones such as amyloid aggregates. Although the basic kinetic equations describing these phenomena are well-established, it has proved to be challenging, due to their non-linear nature, to derive solutions to these equations except for special cases. The availability of general analytical solutions provides a route for determining the rates of molecular level processes from the analysis of macroscopic experimental measurements of the growth kinetics, in addition to the phenomenological parameters, such as lag times and maximal growth rates that are already obtainable from standard fitting procedures. We describe here an analytical approach based on fixed-point analysis, which provides self-consistent solutions for the growth of filamentous structures that can, in addition to elongation, undergo internal fracturing and monomer-dependent nucleation as mechanisms for generating new free ends acting as growth sites. Our results generalise the analytical expression for sigmoidal growth kinetics from the Oosawa theory for nucleated polymerisation to the case of fragmenting filaments. We determine the corresponding growth laws in closed form and derive from first principles a number of relationships which have been empirically established for the kinetics of the self-assembly of amyloid fibrils.
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影响因子：
3.4
作者：
BISHOP, MF;FERRONE, FA
通讯作者：
FERRONE, FA
影响因子：
3.3
作者：
Andrews, Jennifer M.;Roberts, Christopher J.
通讯作者：
Roberts, Christopher J.
DOI：
10.1038/nsb786
发表时间：
2002-05-01
期刊：
NATURE STRUCTURAL BIOLOGY
影响因子：
--
作者：
DePace, AH;Weissman, JS
通讯作者：
Weissman, JS
影响因子：
9.8
作者：
Collins SR;Douglass A;Vale RD;Weissman JS
通讯作者：
Weissman JS
影响因子：
2.7
作者：
ATAKA, M;OGAWA, T
通讯作者：
OGAWA, T