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具有线性生长前沿的细胞集落的形态学与动态标度分析

Morphology and dynamic scaling analysis of cell colonies with linear growth fronts.

作者信息

Huergo M A C, Pasquale M A, Bolzán A E, Arvia A J, González P H

机构信息

Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas, UNLP, CONICET, Sucursal 4, Casilla de Correo 16, 1900 La Plata, Argentina.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Sep;82(3 Pt 1):031903. doi: 10.1103/PhysRevE.82.031903. Epub 2010 Sep 14.

Abstract

The growth of linear cell colony fronts is investigated from the morphology of cell monolayer colonies, the cell size and shape distribution, the front displacement velocity, and the dynamic scaling analysis of front roughness fluctuations. At the early growth stages, colony patterns consist of rather ordered compact domains of small cells, whereas at advanced stages, an uneven distribution of cells sets in, and some large cells and cells exhibiting large filopodia are produced. Colony front profiles exhibit overhangs and behave as fractals with the dimension D(F)=1.25±0.05. The colony fronts shift at 0.22±0.02 μm  min(-1) average constant linear velocity and their roughness (w) increases with time (t). Dynamic scaling analysis of experimental and overhang-corrected growth profile data shows that w versus system width l log-log plots collapse to a single curve when l exceeds a certain threshold value l(o), a width corresponding to the average diameter of few cells. Then, the influence of overhangs on the roughness dynamics becomes negligible, and a growth exponent β=0.33±0.02 is derived. From the structure factor analysis of overhang-corrected profiles, a global roughness exponent α(s)=0.50±0.05 is obtained. For l>200 μm, this set of exponents fulfills the Family-Vicsek relationship. It is consistent with the predictions of the continuous Kardar-Parisi-Zhang model.

摘要

从细胞单层集落的形态、细胞大小和形状分布、前沿位移速度以及前沿粗糙度波动的动态标度分析等方面,对线性细胞集落前沿的生长进行了研究。在生长早期,集落模式由相当有序的小细胞紧密区域组成,而在后期,细胞开始出现不均匀分布,并产生一些大细胞和具有大丝状伪足的细胞。集落前沿轮廓呈现出悬垂,表现为分形维数D(F)=1.25±0.05的分形。集落前沿以0.22±0.02μm·min⁻¹的平均恒定线速度移动,其粗糙度(w)随时间(t)增加。对实验数据和经悬垂校正的生长轮廓数据进行动态标度分析表明,当系统宽度l超过某个阈值l(o)(对应于少数细胞平均直径的宽度)时,w与系统宽度l的双对数图会汇聚成一条单一曲线。然后,悬垂对粗糙度动力学的影响变得可以忽略不计,并得出生长指数β=0.33±0.02。通过对经悬垂校正的轮廓进行结构因子分析,得到全局粗糙度指数α(s)=0.50±0.05。对于l>200μm,这组指数满足Family-Vicsek关系。这与连续Kardar-Parisi-Zhang模型的预测一致。

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