View Of Mathematical Modeling Research Articles

Effect of Residential Quarters Opening on Urban Traffic from the View of Mathematical Modeling

With the great prosperity of national economy, there has been a dramatic rise of vehicles on city road, which makes increasing pressure of road transportation. Currently, many countries are confronting the severe situation of traffic jam in different degrees. Nevertheless, there are many triggers contributing to this congestion, one of which is the blocking of residential quarters towards vital traffic line. Therefore, it is extremely necessary to study whether the opening of residential quarters can improve the road capacity of the entire city and remit the traffic pressure. Our paper is based on graph theory, density theory and random utility theory. First of all, we demonstrate a mathematical model of road traffic. Secondly, we explore the influence of residential quarters opening on urban traffic, taking three factors into account listed as road traffic capacity, road network density and network average running time. On the basis of above contents, the impact analysis of vehicle traffic caused by pedestrians is added afterwards. Finally, our paper takes three different types of residential areas into account as an example to empirically analyze the tangible impact of the opening, and finally come to the benefit of the traffic system after the opening.

A View of Mathematical Modeling in Mathematics Education

Mathematical Modeling is being introduced as a new product into the complex system of Mathematics Education. It has to fit with the existing parts and interfaces in this system. As one example, we will consider the effect of mathematical modeling on the transition from secondary to tertiary education. If mathematical modeling is of greater importance to the planners at one of these two levels of education than at the other, then stresses may result. As a second example, we propose to examine changes in teacher education necessitated by the introduction of mathematical modeling at the secondary level. Ideally, one might wish to prepare teachers to teach mathematical modeling by concentrating purely on modeling without the distraction of new mathematical ideas, but it is not clear that this can always be done. Finally, we plan to make some comments on the effect of mathematical modeling has on the relationship between mathematics education and mathematics itself. Each of these should gain from cooperation with the other.

Daughter cells as an important factor in determining the physiological state of yeast populations.

Cells of Candida utilis grown in a single-stage chemostat at D = 0.05, 0.1, 0.25, and 0.35 hr-1 were separated into a fraction of scar-bearing mother cells and a fraction of scar-free daughter cells. The scar-free cells were transferred into small batch cultures where the length of the maturation phase, changes in length and width of cells, specific growth rate, and specific rate of RNA and protein synthesis were examined for 5 hr. The daughter cells grown at D = 0.05 hr-1 were very small at the moment of separation from the mother cells (about one-third of the mother cell). Their maturation phase (in a batch culture), at the beginning of which they attain the specific growth rate approaching the mumax of the strain used, lasts for 3 hr. On the other hand, daughter cells grown at D = 0.35 hr-1 are almost the same size as the mother cells at the moment of separation. After transfer to a batch culture they begin to bud almost immediately. Similarly, in their other morphological and physiological parameters they differ strikingly from immature daughter cells which are formed at low specific growth rates. The importance of these differences from the point of view of mathematical modeling of growth processes is discussed.