Katkov Igor I
CELLTRONIX, San Diego, California, USA.
Cryobiology. 2008 Oct;57(2):142-9. doi: 10.1016/j.cryobiol.2008.07.009. Epub 2008 Jul 29.
Some aspects of proper linearization of the Boyle-van't Hoff (BVH) relationship for calculation of the osmotically inactive volume v(b), and Arrhenius plot (AP) for the activation energy E(a) are discussed. It is shown that the commonly used determination of the slope and the intercept (v(b)), which are presumed to be independent from each other, is invalid if the initial intracellular molality m(0) is known. Instead, the linear regression with only one independent parameter (v(b)) or the Least Square Method (LSM) with v(b) as the only fitting LSM parameter must be applied. The slope can then be calculated from the BVH relationship as the function of v(b). In case of unknown m(0) (for example, if cells are preloaded with trehalose, or electroporation caused ion leakage, etc.), it is considered as the second independent statistical parameter to be found. In this (and only) scenario, all three methods give the same results for v(b) and m(0). AP can be linearized only for water hydraulic conductivity (L(p)) and solute mobility (omega(s)) while water and solute permeabilities P(w) identical withL(p)RT and P(s) identical withomega(s)RT cannot be linearized because they have pre-exponential factor (RT) that depends on the temperature T.
讨论了用于计算渗透非活性体积(v(b))的博伊尔 - 范特霍夫（BVH）关系的正确线性化以及用于活化能(E(a))的阿伦尼乌斯图（AP）的一些方面。结果表明，如果已知初始细胞内摩尔浓度(m(0))，那么通常认为相互独立的斜率和截距（(v(b))）的常用测定方法是无效的。相反，必须应用仅具有一个独立参数（(v(b))）的线性回归或使用(v(b))作为唯一拟合最小二乘法（LSM）参数的最小二乘法（LSM）。然后可以根据BVH关系将斜率计算为(v(b))的函数。在(m(0))未知的情况下（例如，如果细胞预先加载了海藻糖，或者电穿孔导致离子泄漏等），它被视为要找到的第二个独立统计参数。在这种（也是唯一的）情况下，所有三种方法对于(v(b))和(m(0))都给出相同的结果。AP只能针对水力传导率（(L(p))）和溶质迁移率（(\omega(s))）进行线性化，而与(L(p)RT)相同的水渗透率(P(w))和与(\omega(s)RT)相同的溶质渗透率(P(s))不能线性化，因为它们具有取决于温度(T)的预指数因子（(RT)）。
