Mathematical model for enzymatic hydrolysis and fermentation of cellulose by Trichoderma

This paper describes a mathematical model for the enzymatic hydrolysis and fermentation of cellulose by Trichoderma reesei. The principal features of the model are the assumption of two forms of cellulose (crystalline and amorphous), two sugars (cellobiose and glucose), and two enzymes (cellulase and β-glucosidase). An inducer–repressor–messenger RNA mechanism is used to predict enzyme formation, and pH effects are included. The model consists of 12 ordinary differential equations for 12 state variables and contains 38 parameters. The parameters were estimated from four sets of experimental data by optimization. The results appear satisfactory, and the computer programs permit simulation of a variety of system changes.     

Cross-sectional area of flexible tubes

Kresch (1977) presented the results of calculations which determined the cross-sectional shapes assumed by flexible, elastic tubes for varying transmural pressures. Extensions of these results are presented here in the form of graphs of the cross-sectional area as a function of the transmural pressure. Since the circumferential arc length, theX-axis intercept and theY-axis intercept were necessarily computed, and are of interest, graphs of these are also presented. Each graph is a composite of several curves. Each curve in the graph shows the behavior of the parameter as a function of the relative pressure (P) for a specific value ofR, a parameter related to the wall thickness. The curves are shown for both positive and negative values ofP. The most negative value ofP shown is the point where the walls touch and the most positive value shown is the point where the equations fail to converge. The cross sections were assumed to be elliptical when the transmural pressure was zero. Graphs for three of these initial shapes are shown: nearly circular, major-to-minor axis ratio equal to 2, and an intermediate case. For the nearly circular case, the curves divide into two regimes: one where stretching clearly predominates and another where bending clearly predominates. For the more eccentric initial cross-sections, the distinction between the two regimes cannot be made in this simple manner.     

High voltage electron microscopical analysis of chromosomal number in the slime mold Echinostelium minutum de bary

Utilizing serial thick sectioning techniques in combination with high voltage electron microscopy and stereopair analysis a count of 124 chromosomes was determined for a metaphasic plasmodial nucleus of the slime mold E. minutum.     

Hormonal control of urine-marking in wild and domestic Norway rats

Wild and domestic Norway rats will actively urine-mark a small rod suspended across their home cage. Administration of testosterone to castrated male rats indicated that the urine-marking response is hormone dependent.     

Biosynthesis of azetidine-2-carboxylic acid from methionine in Nicotiana tabacum

The administration of dl-methionine-[1¹⁴C] to Nicotia tabacum resulted in the formation of radioactive azetidine-2-carboxylic acid (isolated by dilution) which was specifically labelled on its carboxyl group. This result and other evidence strongly indicates that this imino acid is a normal component of tobacco.