Journal of Mathematics in Industry
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Reconstruction of annular bi-layered media in cylindrical waveguide section
Journal of Mathematics in Industry - Tập 7 - Trang 1-18 - 2017
We consider a radial transverse resonance model for a circular cylindrical waveguide composed into two layers with different frequency dependent complex dielectric constants. An inverse problem with four unknowns - three physical material parameters and one dimensional dielectric layer thickness parameter - is solved by employing TE110 and TE210 modes with different radial field distribution. Firs......
Mathematical modeling of vaporization during laser-induced thermotherapy in liver tissueAbstract Laser-induced thermotherapy (LITT) is a minimally invasive method causing tumor destruction due to heat ablation and coagulative effects. Computer simulations can play an important role to assist physicians with the planning and monitoring of the treatment. Our recent study with ex-vivo porcine livers has shown that the vaporization of the water in the tiss... ...
Journal of Mathematics in Industry - - 2020
Generalized models for high-throughput analysis of uncertain nonlinear systems
Journal of Mathematics in Industry - Tập 1 Số 1 - Trang 9 - 2011
Model order reduction for gas and energy networksAbstract To counter the volatile nature of renewable energy sources, gas networks take a vital role. But, to ensure fulfillment of contracts under these circumstances, a vast number of possible scenarios, incorporating uncertain supply and demand, has to be simulated ahead of time. This many-query gas network simulation task can be accelerated by model reduction, ye... ...
Journal of Mathematics in Industry - - 2021
Modeling the transmission dynamics of varicella in Hungary
Journal of Mathematics in Industry - Tập 10 - Trang 1-16 - 2020
Vaccines against varicella-zoster virus (VZV) are under introduction in Hungary into the routine vaccination schedule, hence it is important to understand the current transmission dynamics and to estimate the key parameters of the disease. Mathematical models can be greatly useful in advising public health policy decision making by comparing predictions for different scenarios. First we consider a......
A monotonic relationship between the variability of the infectious period and final size in pairwise epidemic modelling
Journal of Mathematics in Industry - Tập 9 - Trang 1-15 - 2019
For a recently derived pairwise model of network epidemics with non-Markovian recovery, we prove that under some mild technical conditions on the distribution of the infectious periods, smaller variance in the recovery time leads to higher reproduction number, and consequently to a larger epidemic outbreak, when the mean infectious period is fixed. We discuss how this result is related to various ......
Geometric computing for freeform architecture
Journal of Mathematics in Industry - Tập 1 - Trang 1-19 - 2011
Geometric computing has recently found a new field of applications, namely the various geometric problems which lie at the heart of rationalization and construction-aware design processes of freeform architecture. We report on our work in this area, dealing with meshes with planar faces and meshes which allow multilayer constructions (which is related to discrete surfaces and their curvatures), tr......
A soft sensor for the Bayer process
Journal of Mathematics in Industry - Tập 7 Số 1 - Trang 1-6 - 2017
A soft sensor for measuring product quality in the Bayer process has been developed. The soft sensor uses a combination of historical process data recorded from online sensors and laboratory measurements to predict a key quality indicator, namely particle strength. Stepwise linear regression is used to select the relevant variables from a large dataset composed of monitored properties and laborato......
On the formation of centreline shrinkage porosity in the continuous casting of steel
Journal of Mathematics in Industry - Tập 10 - Trang 1-26 - 2020
A recent asymptotic model for solidification shrinkage-induced macrosegregation in the continuous casting of binary alloys is extended for the purposes of understanding the link between solute segregation and centreline shrinkage porosity, a defect that commonly occurs in the continuous casting of steel. In particular, the analysis elucidates the relationship between microsegregation, mushy-zone p......
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