The objective of this study is to present a mathematical modeling and solution approach for the drying process of spheroidal solids with the application of microwave in capillary porous media based on the Luikov equations, composed of a system of linear and coupled partial differential equations arising from the energy, mass and pressure balances inside the solid matrix. Additionally, the power...

This paper presents a new mathematical model for a redundancyallocation problem (RAP) withcold-standby redundancy strategy and multiple component choices.The applications of the proposed model arecommon in electrical power, transformation,telecommunication systems,etc.Manystudies have concentrated onone type of time-to-failure, butin thispaper, two components of time-to-failures which follow hy...

To deal with software requirements volatility, we present a model transformation of a software family requirements model into detailed requirements models of its members. This transformation is based on feature algebra and relation algebra. We give the mathematical foundation for this transformation system. The initial models are the result of engineering requirements processes. In other terms,...

As the Model Driven Architecture (MDA) relies on complex and highly automated model transformations between arbitrary modeling languages, the quality of such transformations is of immense importance as it can easily become a bottleneck of a model-driven design process. Automation surely increases the quality of such transformations as errors manually implanted into transformation programs durin...

Bacterial transformation can insert or delete genomic islands (GIs), depending on the donor and recipient genotypes, if an homologous recombination spans the GI's integration site and includes sufficiently long flanking homologous arms. Combining mathematical models of recombination with experiments using pneumococci found GI insertion rates declined geometrically with the GI's size. The decrea...

Indolent B- cell non-Hodgkin lymphoma can transform into aggressive lymphoma. We extend our prior mathematical model to analyze and predict transformation. To provide additional confidence in our model, we compare it with SCID mouse data for combination therapy of Diffuse Large B-cell Lymphoma, an aggressive form of the disease. We develop a two cell model that includes indolent and aggressive ...