Prof. Dr. Maria Neuss-Radu
Prof. Dr. Maria Neuss-Radu
and guest member of the
Interdisciplinary Center for Scientific Computing (IWR)
University Heidelberg
This is the link to my research group.
Academic Education and Degrees
1992 | Diploma in Mathematics, University Babes-Bolyai of Cluj-Napoca |
1999 | PhD in Mathematics, Ruprecht-Karls Universität Heidelberg (Prof. Dr. W. Jäger) |
2017 | Habilitation in Mathematics, Ruprecht-Karls Universität Heidelberg |
2017 | Anerkennung der Lehrbefugnis an der FAU Erlangen-Nürnberg |
Academic and Scientific Career
1993–1996 | PhD-Scholarship, Graduiertenkolleg Modellierung und wissenschaftliches Rechnen in Mathematik und Naturwissenschaften, IWR, Universität Heidelberg |
1996–2000 | Wissenschaftliche Angestellte, SFB Reaktive Strömungen Diffusion und Transport, IWR, Universität Heidelberg |
2001–2008 | Wissenschaftliche Assistentin (C1), Institut für Angewandte Mathematik, Universität Heidelberg |
2007, 2008 | Deputy professorship (W3), Fakultät für Mathematik, Universität Heidelberg (two semesters) |
2009–2011 | Reseach group leader Modelling and Analysis of Nonlinear Multiscale Systems, IWR, Universität Heidelberg |
2011 | Akademische Oberrätin (permanent), FAU Erlangen-Nürnberg |
2013–2015 | Deputy professorship (W3) for Biomathematics, FAU Erlangen-Nürnberg |
since 2016 | Akademische Direktorin (permanent), FAU Erlangen-Nürnberg |
An overview to the research can be found here.
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Interfaces, complex structures, and singular limits in continuum mechanics
(Third Party Funds Group – Overall project)
Term: 01-04-2018 - 30-09-2022
Funding source: DFG / Graduiertenkolleg (GRK) -
Dose-response modeling of 3-nitrobenzanthrone-induced alterations of the energy metabolism in urothelial cells
(Third Party Funds Single)
Term: 01-01-2017 - 30-06-2019
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH) -
Scientific Computing for Improved Detection and Therapy of Sepsis
(Non-FAU Project)
Multi-Scale Modeling and Simulation of Transport Processes in an Elastically Deformable Perforated Medium
In: Transport in Porous Media (2023)
ISSN: 0169-3913
DOI: 10.1007/s11242-022-01896-z
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Simulation and experimental validation of magnetic nanoparticle accumulation in a bloodstream mimicking flow system
In: Journal of Magnetism and Magnetic Materials 582 (2023), Article No.: 170984
ISSN: 0304-8853
DOI: 10.1016/j.jmmm.2023.170984
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Modeling and analysis of structured population in malaria
In: Journal of Mathematical Analysis and Applications 507 (2022), Article No.: 125816
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2021.125816
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Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium
In: Nonlinear Analysis-Real World Applications 68 (2022)
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2022.103651
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Correctors and error estimates for reaction–diffusion processes through thin heterogeneous layers in case of homogenized equations with interface diffusion
In: Journal of Computational and Applied Mathematics 383 (2021), Article No.: 113126
ISSN: 0377-0427
DOI: 10.1016/j.cam.2020.113126
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SINGULAR LIMIT FOR REACTIVE DIFFUSIVE TRANSPORT THROUGH AN ARRAY OF THIN CHANNELS IN CASE OF CRITICAL DIFFUSIVITY
In: Multiscale Modeling & Simulation 19 (2021), p. 1573-1600
ISSN: 1540-3459
DOI: 10.1137/21M1390505
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Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions
In: Journal of Differential Equations 289 (2021), p. 95-127
ISSN: 0022-0396
DOI: 10.1016/j.jde.2021.04.013
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Effective transmission conditions for reaction-diffusion processes in domains separated by thin channels
In: Applicable Analysis (2020)
ISSN: 0003-6811
DOI: 10.1080/00036811.2020.1789599
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A Mathematical Model of HIF-1 Regulated Cellular Energy Metabolism
In: Vietnam Journal of Mathematics (2020)
ISSN: 0866-7179
DOI: 10.1007/s10013-020-00426-y
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Modeling of the early stage of atherosclerosis with emphasis on the regulation of the endothelial permeability
In: Journal of Theoretical Biology 496 (2020), Article No.: 110229
ISSN: 0022-5193
DOI: 10.1016/j.jtbi.2020.110229
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ROS and pentose phosphate pathway: mathematical modelling of the metabolic regulation in response to xenobiotic-induced oxidative stress and the proposed Impact of the gluconate shunt
In: Free Radical Research 53 (2019), p. 979-992
ISSN: 1071-5762
DOI: 10.1080/10715762.2019.1660777
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EFFECTIVE INTERFACE CONDITIONS FOR PROCESSES THROUGH THIN HETEROGENEOUS LAYERS WITH NONLINEAR TRANSMISSION AT THE MICROSCOPIC BULK-LAYER INTERFACE
In: Networks and Heterogeneous Media 13 (2018), p. 609-640
ISSN: 1556-1801
DOI: 10.3934/nhm.2018028
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_GahnNeussraduKn_EffectInterfCondForProcThrouThinHeterogenLayerWthNonlinearTransmissAtTeMicroscBulklayerInterface
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Mathematical modelling and analysis of nanoparticle gradients induced by magnetic fields
In: Journal of Mathematical Analysis and Applications 461 (2018), p. 1544-1560
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2017.12.026
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Preface: IWR Special Issue on Scientific Computing: Dedicated to Willi Jäger’s 75th Birthday
In: Vietnam Journal of Mathematics 45 (2017)
ISSN: 0866-7179
DOI: 10.1007/s10013-016-0239-2
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Derivation of an Effective Model for Metabolic Processes in Living Cells Including Substrate Channeling
In: Vietnam Journal of Mathematics 45 (2017), p. 265-293
ISSN: 0866-7179
DOI: 10.1007/s10013-016-0227-6
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_GahnNeussraduKn_DerivationOfAnEffectiveModelForMetaProcSubstrateChanneling
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DERIVATION OF EFFECTIVE TRANSMISSION CONDITIONS FOR DOMAINS SEPARATED BY A MEMBRANE FOR DIFFERENT SCALING OF MEMBRANE DIFFUSIVITY
In: Discrete and Continuous Dynamical Systems 10 (2017), p. 773-797
ISSN: 1078-0947
DOI: 10.3934/dcdss.2017039
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_GahnNeussraduKn_DerivOfEffectTransmissConditForDomainSeparByMembraneForDiffScalOfMembrDiffusivity
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An ALE approach to mechano-chemical processes in fluid-structure interactions
In: International Journal For Numerical Methods in Fluids 84 (2017), p. 199-220
ISSN: 0271-2091
DOI: 10.1002/fld.4345
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Model-Based Design of Biochemical Microreactors
In: Frontiers in Bioengineering and Biotechnology (2016)
ISSN: 2296-4185
DOI: 10.3389/fbioe.2016.00013
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_ElbingerGahnNeusRaduHanteVollLeugering_ModelBasedDesignOfBioMicroReact
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A characterization of relatively compact sets in Lp(Ω,B)
In: Studia Universitatis Babeș-Bolyai Mathematica 61 (2016), p. 279-290
ISSN: 0373-1227
URL: https://www.scopus.com/record/display.uri?eid=2-s2.0-84990858694&origin=inward
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HOMOGENIZATION OF REACTION-DIFFUSION PROCESSES IN A TWO-COMPONENT POROUS MEDIUM WITH NONLINEAR FLUX CONDITIONS AT THE INTERFACE
In: SIAM Journal on Applied Mathematics 76 (2016), p. 1819-1843
ISSN: 0036-1399
DOI: 10.1137/15M1018484
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_GahnNeussraduKn_HomoOfReactionDiffusionWirhNonlinearFluxCondition
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Homogenization of a pore scale model for precipitation and dissolution in porous media
In: IMA Journal of Applied Mathematics 81 (2016), p. 877-897
ISSN: 0272-4960
DOI: 10.1093/imamat/hxw039
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Mathematical modeling and simulation of the evolution of plaques in blood vessels
In: Journal of Mathematical Biology 72 (2016), p. 973-996
ISSN: 0303-6812
DOI: 10.1007/s00285-015-0934-8
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Systems of Populations with Multiple Structures: Modeling and Analysis
In: Journal of Dynamics and Differential Equations 27 (2015), p. 863-877
ISSN: 1040-7294
DOI: 10.1007/s10884-015-9469-3
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Simulation of Processes in Living Cells: Towards the Modelling of Metabolic Channeling
In: A. Ibrahimbegovic, J.-M. Ghidaglia, A. Serdarevic, E. Ilic- Georgijevic, M. Hrasnica, S. Dolarevic, N. Ademovic (ed.): 2nd International Conference on Multi-scale Computational Methods for Solids and Fluids, 2015, p. 44-47
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_Proc_ElbingerGahnNeussraduKn_SimulOfProcessInLivCellsTowardsModellingOfMetaboliChannel
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Multiscale Problems in Science and Technology. Challenges to Mathematical Analysis and Perspectives
15 (2014), p. 263-265
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2013.09.008
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(Conference report)
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Homing to the niche: A mathematical model describing the chemotactic migration of hematopoietic stem cells
In: Marcello Delitala, Giulia Ajmone Marsan (ed.): Managing Complexity, Reducing Perplexity. Modeling Biological Systems, Springer New York LLC, 2014, p. 101-108 (Springer Proceedings in Mathematics & Statistics, Vol.67)
ISBN: 9783319037585
DOI: 10.1007/978-3-319-03759-2_11
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Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain
In: Nonlinear Analysis-Real World Applications 15 (2014), p. 367-380
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2012.01.027
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Effective slip law for general viscous flows over an oscillating surface
In: Mathematical Methods in the Applied Sciences 36 (2013), p. 2086-2100
ISSN: 0170-4214
DOI: 10.1002/mma.2923
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ANALYSIS OF A FREE BOUNDARY PROBLEM MODELING THROMBUS GROWTH
In: SIAM Journal on Mathematical Analysis 45 (2013), p. 809-833
ISSN: 0036-1410
DOI: 10.1137/100816626
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Mathematical modeling and simulation of flow in domains separated by leaky semipermeable membrane including osmotic effect
In: Applications of Mathematics 56 (2011), p. 51-68
ISSN: 0862-7940
DOI: 10.1007/s10492-011-0009-0
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Homogenization limit of a model system for interaction of flow, chemical reactions, and mechanics in cell tissues
In: SIAM Journal on Mathematical Analysis 43 (2011), p. 1390–1435
ISSN: 0036-1410
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Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain - the influence of the scaling on the nonlinearity in the effective sink-source term
In: Journal of Mathematical Sciences 179 (2011), p. 446-459
ISSN: 1072-3374
DOI: 10.1007/s10958-011-0603-4
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Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling
In: Doklady Mathematics 83 (2011), p. 204-208
ISSN: 1064-5624
DOI: 10.1134/S1064562411020219
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Multiscale analysis and simulation of a reaction–diffusion problem with transmission conditions
In: Nonlinear Analysis-Real World Applications 11 (2010), p. 4572-4585
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2008.11.024
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A multiscale Galerkin approach for a class of nonlinear coupled reaction-diffusion systems in complex media
In: Journal of Mathematical Analysis and Applications 371 (2010), p. 705-718
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.05.056
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Homogenization limit for the diffusion equation with nonlinear flux condition on the boundary of very thin holes periodically distributed in a domain, in case of a critical size
In: Doklady Mathematics 82 (2010), p. 736-740
ISSN: 1064-5624
DOI: 10.1134/S1064562410050157
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Analysis of differential equations modelling the reactive flow through a deformable system of cells
In: Archive for Rational Mechanics and Analysis 192 (2009), p. 331-374
ISSN: 0003-9527
DOI: 10.1007/s00205-008-0118-4
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Derivation and analysis of a system modeling the chemotactic movement of hematopoietic stem cells
In: Journal of Mathematical Biology 56 (2008), p. 579-610
ISSN: 0303-6812
DOI: 10.1007/s00285-007-0132-4
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Multiscale analysis of processes in complex media
Springer Berlin Heidelberg, 2007
ISBN: 354028379X
DOI: 10.1007/978-3-540-28396-6_19
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Effective transmission conditions for reaction-diffusion processes in domains separated by an interface
In: SIAM Journal on Mathematical Analysis 39 (2007), p. 687-720
ISSN: 0036-1410
DOI: 10.1137/060665452
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Effective laws for the Poisson equation on domains with curved oscillating boundaries
In: Applicable Analysis (2006), p. 479-502
ISSN: 0003-6811
DOI: 10.1080/00036810500340476
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The boundary behavior of a composite material
In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 35 (2001), p. 407-435
ISSN: 0764-583X
DOI: 10.1051/m2an:2001122
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A result on the decay of the boundary layers in the homogenization theory
In: Asymptotic Analysis 23 (2000), p. 313-328
ISSN: 0921-7134
URL: https://www.scopus.com/record/display.uri?eid=2-s2.0-0040305966&origin=inward
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Some extensions of two-scale convergence
In: Comptes Rendus de l'Académie des Sciences - Série A: Mathématiques 322 (1996), p. 899-904
ISSN: 0249-6291
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