Platonov A E, Smolianinov V V
Biofizika. 1982 Jan-Feb;27(1):126-31.
The simplest model for the formation of initial cell--substrate contact from the discrete multitude of the contacts of small cell surface projections named spheropodia (SP) is presented. The main points of the model are: 1) the multitude of SP is homogenous; 2) there are at least two states of SP, S0--free SP, S1--attached SP; 3) transitions between the states are stochastic and independent. There were two criteria for the selection of concrete models. Firstly it must assume the great number of microcontacts. Secondly the parameters of the model function v(t, x) must coincide with the parameters of experimental function v(t, x). The model function is the probability that at the moment t the cell has the attachment force not smaller than the threshold value x. It is shown that the diffusion model satisfied these criteria. In this model the stochastic process of cell attachment is described as a diffusion process with positive drift in the one-dimensional space of the summing cell attachment force.
本文提出了一个最简单的模型，用于描述从名为球足（SP）的小细胞表面突起的离散众多接触中形成初始细胞 - 底物接触的过程。该模型的要点如下：1）众多的SP是均匀的；2）SP至少有两种状态，S0 - 自由SP，S1 - 附着SP；3）状态之间的转变是随机且独立的。选择具体模型有两个标准。首先，它必须假定存在大量的微接触。其次，模型函数v(t, x)的参数必须与实验函数v(t, x)的参数一致。模型函数是指在时刻t细胞具有不小于阈值x的附着力的概率。结果表明，扩散模型满足这些标准。在该模型中，细胞附着的随机过程被描述为在求和细胞附着力的一维空间中具有正漂移的扩散过程。
