Linearized Growth Curve,Proper Age and Age at Menarche

A mathematical model of the linearized growth curve and its physiological interpretation by the introduction of proper age, which is proportional to the chronological age, are presented here. In the second phase, but not in the first phase, this constant of proportionality is highly correlated with the age at menarche.     

Kinetics of leucrose formation from sucrose by dextransucrase

Leucrose formation from sucrose and fructose by dextransucrase is of practical interest. It has been investigated at different experimental conditions, including the influence of temperature on reaction rate and selectivity. Under appropriate conditions high product yield can be obtained. Furthermore, a model is presented that allows interpretation of the experimental data.     

Kinetics and stereochemistry of the microsomal epoxide hydrolase-catalyzed hydrolysis of cis-stilbene oxides

The microsomal epoxide hydrolase (mEH)-catalyzed hydrolysis of cis-4,4′–dimethylstilbene oxide ( 1a ), cis-4,4′-diethylstilbene oxide ( 1b ), cis-4,4′-diisopropylstilbene oxide ( 1c ), and cis-4,4′-dichlorostilbene oxide ( 1d ) have been investigated using rabbit liver microsomal preparations. The kinetic parameters, K_m and V_max, and the absolute stereochemistry of the reactions have been determined and compared with those of cis-stilbene oxide ( 1e ). All epoxides 1a – d are hydrolyzed by mEH with high product enantioselectivity to give (R,R)-(+)-diols with ee ≥ 90%. The presence of the substituents on the phenyl rings markedly reduces the rates of mEH catalyzed hydrolysis with respect to cis-stilbene oxide, by increasing K_m and reducing V_max in the cases of 1a , 1b , and 1d , or reducing only the V_max in the case of 1c . The very low V_max, together with a persistent ability to fit into the mEH active site, make all these epoxides, and particularly 1c , inhibitors of cis-stilbene oxide hydrolysis. The kinetic and stereochemical results are interpreted on the basis of the proposed topology of the mEH active site. © 1994 Wiley-Liss, Inc.     

矩阵的加号逆理论在参数估计中的应用

本文从矩阵的加号逆理论出发,根据求矛盾线性方程组最佳逼近解的方法,建立起一种新的参数估计方法,同时给出了显著性检验方法,这种方法更简单更精确．     

The role of glucose in ajmalicine production by catharanthus roseus cell cultures

The role of glucose in ajmalicine production by Catharanthus roseus was investigated in the second stage of a two-stage batch process. Activities of tryptophan decar-boxylate (TDC) and anthranilate synthase (AS), two enzymes In the pathway leading to ajmalicine, were higher after induction with 40 g/L glucose than after induction with 60 or 80 g/L glucose. Experiments with different media containing mixtures of glucose and the nonpermeating osmotic agent xylose, and using an already induced culture as inoculum, revealed that a minimum amount of glucose is required to support ajmalicine production after enzyme induction. This requirement was not an osmotic effect. The relation between the glucose concentration and the specific ajmalicine production rate, q(p), was investigated in seven (fed-)batch cultures with constant glucose concentrations: 23, 29, 35, 53, 57, 75, and 98 g/L. In the cultures with a low glucose concentration (23, 29, and 35 g/L) the q(p) was 2.7-times higher than the cultures with 53 and 57 g/L, and almost six times higher than the cultures with a high glucose concentration (75 and 98 g/L). A glucose perturbation experiment (from 53 to 32 g/L) demonstrated that the ajmalicine production rate was adjusted without much delay. A kinetic equation is proposed for the relationship between the glucose concentration and q(p). Differences in enzyme induction and ajmalicine production at different glucose levels could not be explained by the intracellular concentrations of glucose, fructose, sucrose, or starch. (c) 1995 John Wiley & Sons Inc.