@phdthesis{Pirner2018,
  author    = {Pirner, Marlies},
  title     = {Kinetic modelling of gas mixtures},
  edition   = {1. Auflage},
  publisher = {W{\"u}rzburg University Press},
  address   = {W{\"u}rzburg},
  isbn      = {978-3-95826-080-1 (Print)},
  doi       = {10.25972/WUP-978-3-95826-081-8},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-161077},
  school      = {W{\"u}rzburg University Press},
  pages     = {xi, 222},
  year      = {2018},
  abstract  = {This book deals with the kinetic modelling of gas mixtures. It extends the existing literature in mathematics for one species of gas to the case of gasmixtures. This is more realistic in applications. Thepresentedmodel for gas mixtures is proven to be consistentmeaning it satisfies theconservation laws, it admitsanentropy and an equilibriumstate. Furthermore, we can guarantee the existence, uniqueness and positivity of solutions. Moreover, the model is used for different applications, for example inplasma physics, for fluids with a small deviation from equilibrium and in the case of polyatomic gases.},
  subject      = {Polyatomare Verbindungen},
  language  = {en}
}
@article{RogowskiLehmannGeroulaPrejbiszetal.2018,
  author    = {Rogowski-Lehmann, Natalie and Geroula, Aikaterini and Prejbisz, Aleksander and Timmers, Henri J. L. M. and Megerle, Felix and Robledo, Mercedes and Fassnacht, Martin and Fliedner, Stephanie M. J. and Reincke, Martin and Stell, Anthony and Januszewicz, Andrzej and Lenders, Jacques W. M. and Eisenhofer, Graeme and Beuschlein, Felix},
  title     = {Missed clinical clues in patients with pheochromocytoma/paraganglioma discovered by imaging},
  series = {Endocrine Connections},
  volume    = {7},
  journal   = {Endocrine Connections},
  number    = {11},
  doi       = {10.1530/EC-18-0318},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-226481},
  pages     = {1168-1177},
  year      = {2018},
  abstract  = {Background: Pheochromocytomas and paragangliomas (PPGLs) are rare but potentially harmful tumors that can vary in their clinical presentation. Tumors may be found due to signs and symptoms, as part of a hereditary syndrome or following an imaging procedure. Objective: To investigate potential differences in clinical presentation between PPGLs discovered by imaging (iPPGLs), symptomatic cases (sPPGLs) and those diagnosed during follow-up because of earlier disease/known hereditary mutations (fPPGL). Design: Prospective study protocol, which has enrolled patients from six European centers with confirmed PPGLs. Data were analyzed from 235 patients (37 iPPGLs, 36 sPPGLs, 27\% fPPGLs) and compared for tumor volume, biochemical profile, mutation status, presence of metastases and self-reported symptoms. iPPGL patients were diagnosed at a significantly higher age than fPPGLs (P<0.001), found to have larger tumors (P=0.003) and higher metanephrine and normetanephrine levels at diagnosis (P=0.021). Significantly lower than in sPPGL, there was a relevant number of self-reported symptoms in iPPGL (2.9 vs 4.3 symptoms, P< 0.001). In 16.2\% of iPPGL, mutations in susceptibility genes were detected, although this proportion was lower than that in fPPGL (60.9\%) and sPPGL (21.5\%). Patients with PPGLs detected by imaging were older, have higher tumor volume and more excessive hormonal secretion in comparison to those found as part of a surveillance program. Presence of typical symptoms indicates that in a relevant proportion of those patients, the PPGL diagnosis had been delayed. Precis: Pheochromocytoma/paraganglioma discovered by imaging are often symptomatic and carry a significant proportion of germline mutations in susceptibility genes.},
  subject      = {Biochemical-Diagnosis},
  language  = {en}
}
@phdthesis{Warnecke2022,
  author    = {Warnecke, Sandra},
  title     = {Numerical schemes for multi-species BGK equations based on a variational procedure applied to multi-species BGK equations with velocity-dependent collision frequency and to quantum multi-species BGK equations},
  edition   = {1. Auflage},
  publisher = {W{\"u}rzburg University Press},
  address   = {W{\"u}rzburg},
  isbn      = {978-3-95826-192-1},
  doi       = {10.25972/WUP-978-3-95826-193-8},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-282378},
  school      = {W{\"u}rzburg University Press},
  pages     = {xiii, 203},
  year      = {2022},
  abstract  = {We consider a multi-species gas mixture described by a kinetic model. More precisely, we are interested in models with BGK interaction operators. Several extensions to the standard BGK model are studied. Firstly, we allow the collision frequency to vary not only in time and space but also with the microscopic velocity. In the standard BGK model, the dependence on the microscopic velocity is neglected for reasons of simplicity. We allow for a more physical description by reintroducing this dependence. But even though the structure of the equations remains the same, the so-called target functions in the relaxation term become more sophisticated being defined by a variational procedure. Secondly, we include quantum effects (for constant collision frequencies). This approach influences again the resulting target functions in the relaxation term depending on the respective type of quantum particles. In this thesis, we present a numerical method for simulating such models. We use implicit-explicit time discretizations in order to take care of the stiff relaxation part due to possibly large collision frequencies. The key new ingredient is an implicit solver which minimizes a certain potential function. This procedure mimics the theoretical derivation in the models. We prove that theoretical properties of the model are preserved at the discrete level such as conservation of mass, total momentum and total energy, positivity of distribution functions and a proper entropy behavior. We provide an array of numerical tests illustrating the numerical scheme as well as its usefulness and effectiveness.},
  subject      = {Kinetische Gastheorie},
  language  = {en}
}