In this research, the feasibility of using mathematical modelling in the ball milling process has been evaluated to verify the hardness changes of an aluminium nanostructure. Considering the model of normal force displacement (NFD), the radius of elastic-plastic and normal displacement of two balls were computed by applying analytical modelling and coding in MATLAB. Properties of balls and alum...

This paper is an introduction to the special issue of the Journal of Engineering Mathematic (Volume 47/3–4, 2003) on the mathematical modelling of the cardiovascular system. This issue includes the 2003 James Lighthill Memorial Paper written by Pedley [1] on the mathematical modelling of arterial fluid dynamics. This introduction is written to bring cardiovascular biomechanics to readers with a...

Introduction Conclusions References Tables Figures Back Close Full Screen / Esc This discussion paper is/has been under review for the journal Earth System Dynamics (ESD). Please refer to the corresponding final paper in ESD if available. Abstract Introduction Conclusions References Tables Figures Back Close Full Screen / Esc Abstract The permafrost methane emission problem is in the focus of a...

In general, the healthy state of the immune system is determined by the balance between two different cell types: Th1 (type one of helper CD4+ T cells) and Th2 (type two of helper CD4+ T cells). If the dominant cell and the related molecules turn into to the Th1-type, then the organism goes into the diseased state. The aim of this study is to analyze and mathematically model the neuroimmunologi...

Spatial pattern formation is one of the key issues in developmental biology. Some patterns arising in early development have a very small spatial scale and a natural explanation is that they arise by direct cell-cell signalling in epithelia. This necessitates the use of a spatially discrete model, in contrast to the continuum-based approach of the widely studied Turing and mechanochemical model...

in many peoples’ minds, air pollution is associated with the contamination of urban air from automobile exhausts and industrial emissions. growing number of scientific evidence has indicated that in industrialized societies, air within buildings can be more seriously polluted than the outdoor air. in the last couple of decades, with the widespread availability of personal computers, mathematica...

Mathematical modelling in applied analysis refers to exploiting mathematical knowledge about (classes of basic) equations with the aim to describe and analyse phenomena that appear in the natural and technical sciences. As an example we will show that low dimensional models can be derived for phenomena that appear in (perturbations of) dynamical Poisson systems with symmetries. We show that the...