Before a cell divides into two daughter cells, its entire genetic material has to be copied without errors and exactly once. In eukaryotic cells, a vast amount of replication origins exists that enable the replication of the DNA to initiate simultaneously from many origins in parallel, thereby contributing to a relatively rapid duplication of the genome. The initiation of DNA replication from t...

A dc converter is a lossless dc transformer that must supply regulated outputted voltage under varying load and input voltage condition. Also the converter values changes with time, temperature and pressure. Hence to control the output voltage, detailed understanding of the dynamic behaviour, transient response and small signal characteristics of the converter is required, which can’t be unders...

Modern communication networks are able to respond to randomly uc tuating demands and failures by adapting rates by rerouting tra c and by reallocating resources They are able to do this so well that in many respects large scale networks appear as coherent self regulating sys tems The design and control of such networks present challenges of a mathematical engineering and economic nature This pa...

Many tumours undergo periods in which they apparently do not grow but remain at a roughly constant size for extended periods. This is termed tumour dormancy. The mechanisms responsible for dormancy include failure to develop an internal blood supply, individual tumour cells exiting the cell cycle and a balance between the tumour and the immune response to it. Tumour dormancy is of considerable ...

We present a simple mathematical model for the fluid flow in the curtain coating process, exploiting the small aspect ratio, and examine the model in the largeReynolds-number limit of industrial interest. We show that the fluid is in free fall except for a region close to the substrate, but find that the model can not describe the turning of the curtain onto the substrate. We find that the incl...

While the disciplines of physics and engineering sciences in many cases have taken advantage from accurate time-series prediction by applying ordinary differential equation systems upon precise basic physical laws such approach hardly could be adopted by other scientific disciplines where precise mathematical basic laws are unknown. A new modelling schema, the NMPC-graph, opens the possibility ...

In this article the author presents, illustrates, tests and refines a framework developed by Galbraith, Stillman, Brown and Edwards for identifying student blockages whilst undertaking modelling tasks during transitions in the modelling process [1]. This study investigates engineering students’ modelling processes in one modelling activity. The data include information collected on individual s...

The newly revised mathematics curriculum in Singapore has recently factored Applications and Modelling to be part of the teaching and learning of mathematics. Its implication is that even children should now be involved in works of mathematical modelling. However, to be able to implement modelling activities in the primary mathematics classroom, it is at the outset needful for teachers to have ...

Traditionally, mathematics has received little attention in prior-to-school settings, however, extensive research in the last 30 years has recognised that mathematical learning is critical to success and achievement in both school and life pursuits. Research has also documented children’s capabilities for complex mathematical thinking and reasoning, and recently curriculum has been developed th...

In this paper, a new five-parameter lifetime and reliability distribution named “the exponentiated Uniform-Pareto distribution (EU-PD),” has been suggested that it has a bathtub-shaped and inverse bathtub-shape for modeling lifetime data. This distribution has applications in economics, actuarial modelling, reliability modeling, lifetime and biological sciences. Firstly, the mathematical and st...