Prof. Dr. Maria Neuss-Radu

Department of Mathematics
Chair of Applied Mathematics (Modeling and Numerics) (N.N.)

Raum 04.335
Cauerstraße 11
91058 Erlangen

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.

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)

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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)

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Scientific Computing for Improved Detection and Therapy of Sepsis

(Non-FAU Project)

Term: 15-10-2015 - 28-02-2019
Funding source: andere Förderorganisation
URL: http://scidatos.de/

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Bhandari K., Gahn M., Nečasová Š., Neuss-Radu M., Rodríguez-Bellido MÁ.:
Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
In: Research in the Mathematical Sciences 12 (2025), Article No.: 20
ISSN: 2522-0144
DOI: 10.1007/s40687-025-00505-x
BibTeX: Download
Gahn M., Neuss-Radu M.:
Effective interface laws for fluid flow and solute transport through thin reactive porous layers
In: Journal of Evolution Equations 25 (2025), Article No.: 33
ISSN: 1424-3199
DOI: 10.1007/s00028-025-01061-1
BibTeX: Download
Knoch J., Gahn M., Neuss-Radu M.:
GLOBAL WELL-POSEDNESS AND NUMERICAL JUSTIFICATION OF AN EFFECTIVE MICRO-MACRO MODEL FOR REACTIVE TRANSPORT IN ELASTIC PERFORATED MEDIA
In: Multiscale Modeling & Simulation 23 (2025), p. 458-485
ISSN: 1540-3459
DOI: 10.1137/24M1644304
BibTeX: Download

Knoch J., Gahn M., Neuss-Radu M., Neuß N.:
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
BibTeX: Download
Reinelt M., Ahlfs J., Stein R., Alexiou C., Bänsch E., Friedrich RP., Lyer S., Neuß M., Neuß N.:
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
BibTeX: Download

An LTT., Jäger W., Neuß M.:
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
BibTeX: Download
Bhattacharya A., Gahn M., Neuss-Radu M.:
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
BibTeX: Download

Gahn M., Jäger W., Neuss-Radu M.:
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
BibTeX: Download
Gahn M., Neuss-Radu M.:
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
BibTeX: Download
Gahn M., Neuss-Radu M., Pop IS.:
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
BibTeX: Download

Bhattacharya A., Gahn M., Neuss-Radu M.:
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
BibTeX: Download
Bocharov G., Jäger W., Knoch J., Neuss-Radu M., Thiel M.:
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
BibTeX: Download
Silva T., Jäger W., Neuss-Radu M., Sequeira A.:
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
BibTeX: Download

Schittenhelm D., Neuss-Radu M., Verma N., Pink M., Schmitz-Spanke S.:
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
BibTeX: Download

Gahn M., Neuss-Radu M., Knabner P.:
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
BibTeX: Download
Himmelsbach D., Neuss-Radu M., Neuß N.:
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
BibTeX: Download

Bock G., Capasso V., Neuss-Radu M., Phu HX.:
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
BibTeX: Download
Gahn M., Neuss-Radu M., Knabner P.:
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
BibTeX: Download
Gahn M., Neuss-Radu M., Knabner P.:
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
BibTeX: Download
Yang Y., Richter T., Jäger W., Neuss-Radu M.:
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
BibTeX: Download

Elbinger T., Gahn M., Hante F., Voll L., Leugering G., Knabner P., Neuss-Radu M.:
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
BibTeX: Download
Gahn M., Neuss-Radu M.:
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
BibTeX: Download
Gahn M., Neuss-Radu M., Knabner P.:
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
BibTeX: Download
Neuss-Radu M., Pop IS., Kumar K.:
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
BibTeX: Download
Yang Y., Jäger W., Neuss-Radu M., Richter T.:
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
BibTeX: Download

An LTT., Jäger W., Neuss-Radu M.:
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
BibTeX: Download
Elbinger T., Gahn M., Neuss-Radu M., Knabner P.:
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
BibTeX: Download

Antonic N., Capasso V., Jäger W., Mikelic A., Neuss-Radu M., Pop IS.:
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
BibTeX: Download
(Conference report)
Neuss-Radu M.:
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
BibTeX: Download
Neuss-Radu M., Jäger W., Shaposhnikova TA.:
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
BibTeX: Download

Mikelic A., Necasova S., Neuss-Radu M.:
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
BibTeX: Download
Weller F., Neuss-Radu M., Jäger W.:
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
BibTeX: Download

Hron J., Neuss-Radu M., Pustějovská P.:
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
BibTeX: Download
Jäger W., Mikelic A., Neuss-Radu M.:
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
BibTeX: Download
Jäger W., Neuss-Radu M., Shaposhnikova TA.:
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
BibTeX: Download
Jäger W., Neuss-Radu M., Shaposhnikova TA.:
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
BibTeX: Download

Ludwig S., Neuss-Radu M., Jäger W.:
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
BibTeX: Download
Muntean A., Neuss-Radu M.:
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
BibTeX: Download
Neuss-Radu M., Jäger W., Shaposhnikova TA.:
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
BibTeX: Download

Jäger W., Mikelic A., Neuss-Radu M.:
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
BibTeX: Download

Kettemann A., Neuss-Radu M.:
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
BibTeX: Download

Jäger W., Neuss-Radu M.:
Multiscale analysis of processes in complex media
Springer Berlin Heidelberg, 2007
ISBN: 354028379X
DOI: 10.1007/978-3-540-28396-6_19
BibTeX: Download
Neuss-Radu M., Jäger W.:
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
BibTeX: Download

Neuß N., Neuss-Radu M., Mikelic A.:
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
BibTeX: Download

Neuss-Radu M.:
The failure of uniform exponential decay for boundary layers
BibTeX: Download

Neuss-Radu M.:
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
BibTeX: Download

Neuss-Radu M.:
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
BibTeX: Download

Neuss-Radu M.:
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
BibTeX: Download

[univis task=”lehrveranstaltungen-alle” univisid=”21151413″ ]

Prof. Dr. Maria Neuss-Radu

Prof. Dr. Maria Neuss-Radu

Curriculum Vitae

Academic Education and Degrees

Academic and Scientific Career

Research

Projects

Interfaces, complex structures, and singular limits in continuum mechanics

Dose-response modeling of 3-nitrobenzanthrone-induced alterations of the energy metabolism in urothelial cells

Scientific Computing for Improved Detection and Therapy of Sepsis

Publications

2025

2023

2022

2021

2020

2019

2018

2017

2016

2015

2014

2013

2011

2010

2009

2008

2007

2006

2002

2001

2000

1996

Teaching