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 tissue
Journal of Mathematics in Industry - - 2020
AbstractLaser-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 tissue must be taken into
account whe...
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 networks
Journal of Mathematics in Industry - - 2021
AbstractTo 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, yet, large-scale,
nonlinear, parame...
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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