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2024
- Computational and Analytical Approaches for DNA Methylation Pattern Modelling. EPiC Series in Computing, EasyChair, 2024, 51-17 more… BibTeX Full text ( DOI )
- Opinion Models, Election Data, and Political Theory. Entropy 26 (3), 2024, 212 more… BibTeX Full text ( DOI )
- Cell Invasion Models: How Complex do They Need to Be? , 2024 more… BibTeX
2023
- Social Response and Measles Dynamics. Stats 6 (4), 2023, 1280-1297 more… BibTeX Full text ( DOI )
- Mechanistic modeling of brain metastases in NSCLC provides computational markers for personalized prediction of outcome. medRxiv, 2023 more… BibTeX Full text ( DOI )
- Analysis 1. Springer Spektrum, 2023 more… BibTeX Full text ( DOI )
- Statistical-Physics-Informed Neural Networks (Stat-PINNs): A Machine Learning Strategy for Coarse-graining Dissipative Dynamics. 2023 more… BibTeX
- Statistical-Physics-Informed Neural Networks (Stat-PINNs): A Machine Learning Strategy for Coarse-graining Dissipative Dynamics. 2023 more… BibTeX
- Age structure, replicator equation, and the prisoner’s dilemma. Mathematical Biosciences, 2023, 109076 more… BibTeX Full text ( DOI )
- Contact tracing & super-spreaders in the branching-process model. Journal of Mathematical Biology 86 (2), 2023 more… BibTeX Full text ( DOI )
- Parameter estimation for contact tracing in graph-based models. Journal of The Royal Society Interface 20 (208), 2023 more… BibTeX Full text ( DOI )
- Modélisation mathématique des métastases cérébrales du cancer bronchique non à petites cellules : un outil informatique personnalisé pour prédire l’apparition des métastases et la survie des patients. Revue des Maladies Respiratoires Actualités 15 (1), 2023, 237-238 more… BibTeX Full text ( DOI )
- A phase-field model for non-small cell lung cancer under the effects of immunotherapy. , 2023 more… BibTeX Full text ( DOI )
2022
- Accounting for arterial and capillary blood gases for calculation of cerebral blood flow in preterm infants. Eur. J. Pediatr. 181 (5), 2022, 2087-2096 more… BibTeX Full text ( DOI )
- Quasi-static diffusion model of complex heat transfer with reflection and refraction conditions. J. Math. Anal. Appl. 507 (1), 2022 more… BibTeX Full text ( DOI )
- Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group. Complex Manifolds 9 (1), 2022, 285--336 more… BibTeX Full text ( DOI )
- On decompositions of non-reversible processes. , 2022MMSC 2022 more… BibTeX
- Modeling of Cerebral Blood Flow Autoregulation Using Mathematical Control Theory. Mathematics 10 (12), 2022 more… BibTeX Full text ( DOI )
- Second-order asymptotic expansion and thermodynamic interpretation of a fast-slow Hamiltonian system. Lett. Math. Phys. 112 (6), 2022, Paper No. 119, 32 more… BibTeX Full text ( DOI )
- Modeling of the cerebral blood circulation in a capillary network accounting for the influence of the endothelial surface layer. Comput. Meth. Programs Biomed. 224, 2022 more… BibTeX Full text ( DOI )
- Optimal multiplicative control of bacterial quorum sensing under external enzyme impact. Math. Model. Nat. Phenom. 17, 2022 more… BibTeX Full text ( DOI )
- A Multi-Scale Model for Cholera Outbreaks. Mathematics 10 (17), 2022, 3114 more… BibTeX Full text ( DOI )
- Life-History traits and the replicator equation. Mathematical Biosciences 349, 2022, 108826 more… BibTeX Full text ( DOI )
- Echo chambers and opinion dynamics explain the occurrence of vaccination hesitancy. Royal Society Open Science 9 (10), 2022 more… BibTeX Full text ( DOI )
- Quiescence Generates Moving Average in a Stochastic Epidemiological Model with One Host and Two Parasites. Mathematics 10 (13), 2022, 2289 more… BibTeX Full text ( DOI )
- Mathematical modeling and lung cancer: quantifiable prognostic models improve clinical routine care. Dissertation, 2022 more… BibTeX
- Glycocalyx Sensing with a Mathematical Model of Acoustic Shear Wave Biosensor. Bioengineering-Basel 9 (9), 2022 more… BibTeX Full text ( DOI )
2021
- Condensation of SIP particles and sticky Brownian motion. J. Stat. Phys. 183 (3), 2021, Paper No. 40, 42 more… BibTeX Full text ( DOI )
- Higher order fluctuation fields and orthogonal duality polynomials. Electron. J. Probab. 26, 2021, Paper No. 27, 35 more… BibTeX Full text ( DOI )
- Well-posedness for a regularised inertial Dean-Kawasaki model for slender particles in several space dimensions. J. Differential Equations 284, 2021, 253--283 more… BibTeX Full text ( DOI )
- Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space. Ann. Mat. Pura Appl. (4) 200 (2), 2021, 521--546 more… BibTeX Full text ( DOI )
- Minimal Lagrangian surfaces in $\Bbb CP^2$ via the loop group method Part I: The contractible case. J. Geom. Phys. 161, 2021, Paper No. 104016, 27 more… BibTeX Full text ( DOI )
- Weierstrass-Kenmotsu representation of Willmore surfaces in spheres. Nagoya Math. J. 244, 2021, 35--59 more… BibTeX Full text ( DOI )
- A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation. Comm. Math. Phys. 385 (1), 2021, 1--54 more… BibTeX Full text ( DOI )
- Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: thermodynamic interpretation and simulation. Phys. D 428, 2021, Paper No. 133036, 32 more… BibTeX Full text ( DOI )
- Inverse extremum problem for a model of endovenous laser ablation. J. Inverse Ill-Posed Probl. 29 (3), 2021, 467-476 more… BibTeX Full text ( DOI )
- MODELING THE PRESSURE DISTRIBUTION IN A SPATIALLY AVERAGED CEREBRAL CAPILLARY NETWORK. Math. Control Relat. Fields 11 (3), 2021, 643-652 more… BibTeX Full text ( DOI )
- An inverse problem for equations of cerebral oxygen transport. Appl. Math. Comput. 402, 2021 more… BibTeX Full text ( DOI )
- Non-Stationary Model of Cerebral Oxygen Transport with Unknown Sources. Mathematics 9 (8), 2021 more… BibTeX Full text ( DOI )
- Should I stay or should I go? eLife 10, 2021 more… BibTeX Full text ( DOI )
- Contact tracing – Old models and new challenges. Infectious Disease Modelling 6, 2021, 222-231 more… BibTeX Full text ( DOI )
- Forward thinking on backward tracing. Nature Physics 17 (5), 2021, 555-556 more… BibTeX Full text ( DOI )
- The impact of digital contact tracing on the SARS-CoV-2 pandemic—a comprehensive modelling study. EPJ Data Science 10 (1), 2021 more… BibTeX Full text ( DOI )
- Orthogonality of fluxes in general nonlinear reaction networks. Discrete Contin. Dyn. Syst. Ser. S 14 (1), 2021, 205--217 more… BibTeX Full text ( DOI )
- How mathematical modeling could contribute to the quantification of metastatic tumor burden under therapy: insights in immunotherapeutic treatment of non-small cell lung cancer. Theor Biol Med Model 18 (1), 2021, 11 more… BibTeX Full text ( DOI )
- Mathematical modeling of the hematocrit influence on cerebral blood flow in preterm infants. PLoS One 16 (12), 2021 more… BibTeX Full text ( DOI )
2020
- From weakly interacting particles to a regularised Dean-Kawasaki model. Nonlinearity 33 (2), 2020, 864--891 more… BibTeX Full text ( DOI )
- Ruh-Vilms theorems for minimal surfaces without complex points and minimal Lagrangian surfaces in $\BbbCP^2$. Math. Z. 296 (3-4), 2020, 1751--1775 more… BibTeX Full text ( DOI )
- On symmetric Willmore surfaces in spheres II: The orientation reversing case. Differential Geom. Appl. 69, 2020, 101606, 27 more… BibTeX Full text ( DOI )
- Classification of homogeneous Willmore surfaces in $S^n$. Osaka J. Math. 57 (4), 2020, 805--817 more… BibTeX
- From Particle Fluctuations to Macroscopic Evolution Equations: The Case of Exclusion Dynamics. Mathematical Modeling and Scientific Computing: Focus on Complex Processes and Systems 2020, 2020 more… BibTeX
- Mathematical Population Genetics and Evolution of Bacterial Cooperation. WORLD SCIENTIFIC, 2020 more… BibTeX Full text ( DOI )
- Nonstationary Model of Oxygen Transport in Brain Tissue. Comput. Math. Method Med. 2020, 2020 more… BibTeX Full text ( DOI )
- Inverse problem for a linearized model of oxygen transport in brain. PROCEEDINGS OF THE 2020 INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION (DD), IEEE, 2020International Conference on Days on Diffraction (DD), St Petersburg, RUSSIA, MAY 25-29, 2020 more… BibTeX
- Assessing key clinical parameters before and after intraventricular hemorrhage in very preterm infants. Eur. J. Pediatr. 179 (6), 2020, 929-937 more… BibTeX Full text ( DOI )
- Exact and approximate formulas for contact tracing on random trees. Mathematical Biosciences 321, 2020, 108320 more… BibTeX Full text ( DOI )
- Effective Hamiltonian dynamics via the Maupertuis principle. Discrete Contin. Dyn. Syst. Ser. S 13 (4), 2020, 1395--1410 more… BibTeX Full text ( DOI )
- Assessing haemorrhage-critical values of cerebral blood flow by modelling biomechanical stresses on capillaries in the immature brain. Sci Rep 10 (1), 2020 more… BibTeX Full text ( DOI )
- Evolutionary Stabilization of Cooperative Toxin Production through a Bacterium-Plasmid-Phage Interplay. mBio 11 (4), 2020 more… BibTeX Full text ( DOI )
- Machine learning models for identifying preterm infants at risk of cerebral hemorrhage. PLoS One 15 (1), 2020 more… BibTeX Full text ( DOI )
- On fluctuations in particle systems and their links to macroscopic models. Oberwolfach Rep. 17 (2/3), 2020, 1421--1424 more… BibTeX
2019
- Minimizing movements for oscillating energies: the critical regime. Proc. Roy. Soc. Edinburgh Sect. A 149 (3), 2019, 719--737 more… BibTeX Full text ( DOI )
- Accounting for Tube Hematocrit in Modeling of Blood Flow in Cerebral Capillary Networks. Comput. Math. Method Med. 2019, 2019 more… BibTeX Full text ( DOI )
- Extended model of impaired cerebral autoregulation in preterm infants: Heuristic feedback control. Math. Biosci. Eng. 16 (4), 2019, 2334-2352 more… BibTeX Full text ( DOI )
- Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential. J. Math. Pures Appl. (9) 123, 2019, 1--40 more… BibTeX Full text ( DOI )
- Problem of radiation heat exchange with boundary conditions of the Cauchy type. Commun. Nonlinear Sci. Numer. Simul. 75, 2019, 262-269 more… BibTeX Full text ( DOI )
- A regularised Dean-Kawasaki model: derivation and analysis. SIAM J. Math. Anal. 51 (2), 2019, 1137--1187 more… BibTeX Full text ( DOI )
- Survey on real forms of the complex $A_2^(2)$-Toda equation and surface theory. Complex Manifolds 6 (1), 2019, 194--227 more… BibTeX Full text ( DOI )
- Willmore surfaces in spheres: the DPW approach via the conformal Gauss map. Abh. Math. Semin. Univ. Hambg. 89 (1), 2019, 77--103 more… BibTeX Full text ( DOI )
- Universality of neutral models: decision process in politics. Palgrave Communications 5 (1), 2019 more… BibTeX Full text ( DOI )
- A variational structure for interacting particle systems and their hydrodynamic scaling limits. Commun. Math. Sci. 17 (3), 2019, 739--780 more… BibTeX Full text ( DOI )
- An iterative algorithm for solving an initial boundary value problem of oxygen transport in brain. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION (DD) 2019, IEEE, 2019International Conference on Days on Diffraction (DD), St. Petersburg, RUSSIA, JUN 03-07, 2019 more… BibTeX
- Continuum model of oxygen transport in brain. J. Math. Anal. Appl. 474 (2), 2019, 1352-1363 more… BibTeX Full text ( DOI )
- Postnatal Paraclinical Parameters Associated to Occurrence of Intracerebral Hemorrhage in Preterm Infants. Neuropediatrics 50 (2), 2019, 103-110 more… BibTeX Full text ( DOI )
- Harnessing fluctuations to discover dissipative evolution equations. J. Mech. Phys. Solids 131, 2019, 240--251 more… BibTeX Full text ( DOI )
- Global stability properties of a class of renewal epidemic models. Journal of Mathematical Biology 78 (6), 2019, 1713-1725 more… BibTeX Full text ( DOI )
- Evolutionary Stability of Salmonella Competition with the Gut Microbiota: How the Environment Fosters Heterogeneity in Exploitative and Interference Competition. Journal of Molecular Biology 431 (23), 2019, 4732-4748 more… BibTeX Full text ( DOI )
- Evolutionary model for the unequal segregation of high copy plasmids. PLOS Computational Biology 15 (3), 2019, e1006724 more… BibTeX Full text ( DOI )
- Are the better cooperators dormant or quiescent? Mathematical Biosciences 318, 2019, 108272 more… BibTeX Full text ( DOI )
- Transport equations and plasmid-induced cellular heterogeneity. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
2018
- Quantitative Boltzmann-Gibbs principles via orthogonal polynomial duality. J. Stat. Phys. 171 (6), 2018, 980--999 more… BibTeX Full text ( DOI )
- Direct modeling of blood flow through the vascular network of the germinal matrix. Comput. Biol. Med. 92, 2018, 147-155 more… BibTeX Full text ( DOI )
- Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions. Commun. Nonlinear Sci. Numer. Simul. 57, 2018, 290-298 more… BibTeX Full text ( DOI )
- Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange. J. Math. Anal. Appl. 460 (2), 2018, 737-744 more… BibTeX Full text ( DOI )
- Theta functions on tube domains. Abh. Math. Semin. Univ. Hambg. 88 (2), 2018, 273--288 more… BibTeX Full text ( DOI )
- The semi-infinite asymmetric exclusion process: large deviations via matrix products. Potential Anal. 48 (3), 2018, 301--323 more… BibTeX Full text ( DOI )
- Computing diffusivities from particle models out of equilibrium. Proc. A. 474 (2212), 2018, 20170694, 21 more… BibTeX Full text ( DOI )
- Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects. Bull. Malays. Math. Sci. Soc. 41 (2), 2018, 919--943 more… BibTeX Full text ( DOI )
- Effects of population- and seed bank size fluctuations on neutral evolution and efficacy of natural selection. Theoretical Population Biology 123, 2018, 45-69 more… BibTeX Full text ( DOI )
- Canonical structure and orthogonality of forces and currents in irreversible Markov chains. J. Stat. Phys. 170 (6), 2018, 1019--1050 more… BibTeX Full text ( DOI )
- Analysis of a mathematical model of oxygen transport in brain. 2018 DAYS ON DIFFRACTION (DD), IEEE, 2018International Conference on Days on Diffraction (DD), St Petersburg, RUSSIA, JUN 04-08, 2018 more… BibTeX
- Modeling Cerebral Blood Flow Dependence on Carbon Dioxide and Mean Arterial Blood Pressure in the Immature Brain With Accounting for the Germinal Matrix. Front. Neurol. 9, 2018 more… BibTeX Full text ( DOI )
2017
- Travelling waves for a Frenkel-Kontorova chain. J. Differential Equations 263 (4), 2017, 2317--2342 more… BibTeX Full text ( DOI )
- INHOMOGENEOUS STEADY-STATE PROBLEM OF COMPLEX HEAT TRANSFER. ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer. 51 (6), 2017, 2511-2519 more… BibTeX Full text ( DOI )
- Optimal Boundary Temperature Control in the Model of Radiative Heat Transfer. PROCEEDINGS OF THE 8TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING (ICMM-2017) (AIP Conference Proceedings), AMER INST PHYSICS, 20178th International Conference on Mathematical Modeling (ICMM), NE Fed Univ, Yakutsk, RUSSIA, JUL 04-08, 2017 more… BibTeX Full text ( DOI )
- Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Proc. R. Soc. A 473 (2203), 2017, 20170235 more… BibTeX Full text ( DOI )
- Hydrodynamic limit of condensing two-species zero range processes with sub-critical initial profiles. J. Stat. Phys. 168 (4), 2017, 794--825 more… BibTeX Full text ( DOI )
- Cellular Automata: Analysis and Applications. Springer International Publishing, 2017 more… BibTeX Full text ( DOI )
- A revisited Johnson-Mehl-Avrami-Kolmogorov model and the evolution of grain-size distributions in steel. IMA J. Appl. Math. 82 (4), 2017, 763--780 more… BibTeX Full text ( DOI )
- Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics. Entropy 19 (10), 2017, 562 more… BibTeX Full text ( DOI )
- Acceleration of convergence to equilibrium in Markov chains by breaking detailed balance. J. Stat. Phys. 168 (2), 2017, 259--287 more… BibTeX
- Fisher–Wright model with deterministic seed bank and selection. Theoretical Population Biology 114, 2017, 29-39 more… BibTeX Full text ( DOI )
- Analysis of thermal processes in a multilayer biotissue exposed to optical radiation. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION (DD) 2017, IEEE, 2017International Conference on Days on Diffraction (DD), St Petersburg, RUSSIA, JUN 19-23, 2017 more… BibTeX
- Application of the PAMONO-Sensor for Quantification of Microvesicles and Determination of Nano-Particle Size Distribution. Sensors 17 (2), 2017 more… BibTeX Full text ( DOI )
- Analyzing plasmid segregation: Existence and stability of the eigensolution in a non-compact case. Discrete &Continuous Dynamical Systems - B 22 (11), 2017, 0-0 more… BibTeX Full text ( DOI )
- On fluctuations in Markov chains. Oberwolfach Reports 14 (4), 2017, 3242--3245 more… BibTeX
2016
- Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model. Appl. Math. Comput. 289, 2016, 371-380 more… BibTeX Full text ( DOI )
- Entropic and gradient flow formulations for nonlinear diffusion. J. Math. Phys. 57 (8), 2016, 081505, 13 more… BibTeX Full text ( DOI )
- A loop group method for minimal surfaces in the three-dimensional Heisenberg group. Asian J. Math. 20 (3), 2016, 409--448 more… BibTeX Full text ( DOI )
- A loop group method for affine harmonic maps into Lie groups. Adv. Math. 298, 2016, 207--253 more… BibTeX Full text ( DOI )
- On the Bernstein problem in the three-dimensional Heisenberg group. Canad. Math. Bull. 59 (1), 2016, 50--61 more… BibTeX Full text ( DOI )
- Explicit expressions for the Iwasawa factors, the metric and the monodromy matrices for minimal Lagrangian surfaces in $\Bbb CP^2$. In: Dynamical systems, number theory and applications. World Sci. Publ., Hackensack, NJ, 2016, 19--47 more… BibTeX
- A new look at equivariant minimal Lagrangian surfaces in $\Bbb CP^2$. In: Geometry and topology of manifolds. Springer, [Tokyo], 2016, 97--125 more… BibTeX Full text ( DOI )
- Pseudospherical surfaces of low differentiability. Adv. Geom. 16 (1), 2016, 1--20 more… BibTeX Full text ( DOI )
- Boundary optimal control problem of complex heat transfer model. J. Math. Anal. Appl. 433 (2), 2016, 1243-1260 more… BibTeX Full text ( DOI )
- Nonlocal unique solvability of a steady-state problem of complex heat transfer. Comput. Math. Math. Phys. 56 (5), 2016, 802-809 more… BibTeX Full text ( DOI )
- Optimal boundary control of a steady-state heat transfer model accounting for radiative effects. J. Math. Anal. Appl. 439 (2), 2016, 678-689 more… BibTeX Full text ( DOI )
- The effect of delay on contact tracing. Mathematical Biosciences 282, 2016, 204-214 more… BibTeX Full text ( DOI )
- A Precise Temperature-Responsive Bistable Switch Controlling Yersinia Virulence. PLOS Pathogens 12 (12), 2016, e1006091 more… BibTeX Full text ( DOI )
- A convergent string method: Existence and approximation for the Hamiltonian boundary-value problem. In: World Scientific, 2016 more… BibTeX
- Computer assisted detection and quantification of single adsorbing nanoparticles by differential surface plasmon microscopy. Microchim. Acta 183 (1), 2016, 101-109 more… BibTeX Full text ( DOI )
2015
- Introduction, Workshop \emphInterplay of Analysis and Probability in Applied Mathematics. Oberwolfach Rep. 12 (3), 2015, 1989--1991 more… BibTeX
- Deformations of constant mean curvature surfaces preserving symmetries and the Hopf differential. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 14 (2), 2015, 645--675 more… BibTeX
- Short term uptake and transport process for metformin in roots of Phragmites australis and Typha latifolia. Chemosphere 134, 2015, 307-312 more… BibTeX Full text ( DOI )
- On symmetric Willmore surfaces in spheres I: The orientation preserving case. Differential Geom. Appl. 43, 2015, 102--129 more… BibTeX Full text ( DOI )
- Stability of travelling wavefronts in discrete reaction-diffusion equations with nonlocal delay effects. Nonlinearity 28 (2), 2015, 463--492 more… BibTeX Full text ( DOI )
- Functionality of autoinducer systems in complex envirronments – 5. In: The Physical Basis of Bacterial Quorum Communication. Springer, 2015, 83-103 more… BibTeX Full text ( DOI )
- Cellular non-deterministic automata and partial differential equations. Physica D: Nonlinear Phenomena 311-312, 2015, 1-16 more… BibTeX Full text ( DOI )
- A new network approach to Bayesian inference in partial differential equations. International Journal for Numerical Methods in Engineering 104, 2015, 313-329 more… BibTeX Full text ( DOI )
- Unique solvability of a steady-state complex heat transfer model. Commun. Nonlinear Sci. Numer. Simul. 20 (3), 2015, 776-784 more… BibTeX Full text ( DOI )
- An Approximative Approach for Single Cell Spatial Modeling of Quorum Sensing. Journal of Computational Biology 22 (3), 2015, 227-235 more… BibTeX Full text ( DOI )
- Graphical limit sets for general cellular automata. Theoretical Computer Science 580, 2015, 14-27 more… BibTeX Full text ( DOI )
- Methods and Models in Mathematical Biology – Deterministic and stochastic approaches. Springer Berlin Heidelberg, 2015 more… BibTeX Full text ( DOI )
- Polar Fixation of Plasmids during Recombinant Protein Production in Bacillus megaterium Results in Population Heterogeneity. Applied and Environmental Microbiology 81 (17), 2015, 5976-5986 more… BibTeX Full text ( DOI )
- Entropy production and the geometry of dissipative evolution equations. Phys. Rev. E 92 (5), 2015, 052117, 7 more… BibTeX Full text ( DOI )
- The Finsler metric obtained as the $Γ$-limit of a generalised Manhattan metric. J. Convex Anal. 22 (1), 2015, 19--36 more… BibTeX
- On the $Γ$-limit for a non-uniformly bounded sequence of two-phase metric functionals. Discrete Contin. Dyn. Syst. 35 (1), 2015, 411--426 more… BibTeX
- Parametrization of Random Vectors in Polynomial Chaos Expansions via Optimal Transportation. SIAM Journal on Scientific Computing 37, 2015, A2535-A2557 more… BibTeX Full text ( DOI )
2014
- Prediction of bone strength by mu CT and MDCT-based finite-element-models: How much spatial resolution is needed? Eur. J. Radiol. 83 (1), 2014, E36-E42 more… BibTeX Full text ( DOI )
- Constant mean curvature surfaces in hyperbolic 3-space via loop groups. J. Reine Angew. Math. 686, 2014, 1--36 more… BibTeX Full text ( DOI )
- Minding's theorem for low degrees of differentiability. Tokyo J. Math. 37 (2), 2014, 503--508 more… BibTeX Full text ( DOI )
- Conservative-dissipative approximation schemes for a generalized Kramers equation. Math. Methods Appl. Sci. 37 (16), 2014, 2517--2540 more… BibTeX Full text ( DOI )
- Evidence of Autoinducer-Dependent and -Independent Heterogeneous Gene Expression in Sinorhizobium fredii NGR234. Applied and Environmental Microbiology 80 (18), 2014, 5572-5582 more… BibTeX Full text ( DOI )
- Geometrical interpretation of fluctuating hydrodynamics in diffusive systems. J. Phys. A 47 (48), 2014, 485001, 17 more… BibTeX Full text ( DOI )
- State-Discrete Probabilistic Methods for Partial Differential Equations. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
- Cellular Probabilistic Automata---A Novel Method for Uncertainty Propagation. SIAM/ASA Journal on Uncertainty Quantification 2 (1), 2014, 29-54 more… BibTeX Full text ( DOI )
- Stationary free convection problem with radiative heat exchange. Differ. Equ. 50 (12), 2014, 1592-1599 more… BibTeX Full text ( DOI )
- Steady-state problem of complex heat transfer. Comput. Math. Math. Phys. 54 (4), 2014, 719-726 more… BibTeX Full text ( DOI )
- Solvability of P-1 approximation of a conductive-radiative heat transfer problem. Appl. Math. Comput. 249, 2014, 247-252 more… BibTeX Full text ( DOI )
- Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer. J. Math. Anal. Appl. 412 (1), 2014, 520-528 more… BibTeX Full text ( DOI )
- The unique solvability of a complex 3D heat transfer problem. J. Math. Anal. Appl. 409 (2), 2014, 808-815 more… BibTeX Full text ( DOI )
- Model selection for microbial nutrient uptake using a cost-benefit approach. Mathematical Biosciences 255, 2014, 52-70 more… BibTeX Full text ( DOI )
- Determination of optimal vaccination strategies using an orbital stability threshold from periodically driven systems. Journal of Mathematical Biology 68 (3), 2014, 763-784 more… BibTeX Full text ( DOI )
- Modelling and analysis of a gene-regulatory feed-forward loop with basal expression of the second regulator. Journal of Theoretical Biology 363, 2014, 290-299 more… BibTeX Full text ( DOI )
- Individual-Based Model for Quorum Sensing with Background Flow. Bulletin of Mathematical Biology 76, 2014, 1727-1746 more… BibTeX Full text ( DOI )
- Travelling lattice waves in a toy model of Lennard-Jones interaction. Quart. Appl. Math. 72 (1), 2014, 65--84 more… BibTeX Full text ( DOI )
- From particles to a conservation law: large deviations for the totally asymmetric exclusion process on the half line. Oberwolfach Rep. 11 (4), 2014, 3188--3190 more… BibTeX
2013
- Large deviations and gradient flows. Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 371 (2005), 2013, 20120341, 17 more… BibTeX Full text ( DOI )
- On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps. Results Math. 63 (1-2), 2013, 335--376 more… BibTeX Full text ( DOI )
- Darboux transforms and simple factor dressing of constant mean curvature surfaces. Manuscripta Math. 140 (1-2), 2013, 213--236 more… BibTeX Full text ( DOI )
- Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics. Math. Mech. Solids 18 (8), 2013, 803--822 more… BibTeX
- Caesium accumulation in yeast and plants is selectively repressed by loss of the SNARE Sec22p/SEC22. Nature Communications 4, 2013, 2092 more… BibTeX Full text ( DOI )
- GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles. Nonlinearity 26 (11), 2013, 2951--2971 more… BibTeX Full text ( DOI )
- Subsonic phase transition waves in bistable lattice models with small spinodal region. SIAM J. Math. Anal. 45 (5), 2013, 2625--2645 more… BibTeX Full text ( DOI )
- An iterative method for solving a complex heat transfer problem. Appl. Math. Comput. 219 (17), 2013, 9356-9362 more… BibTeX Full text ( DOI )
- Modelling of thin martensitic films with nonpolynomial stored energies. In: Recent trends in dynamical systems. Springer, Basel, 2013, 587--608 more… BibTeX Full text ( DOI )
- Bet-hedging in stochastically switching environments. Journal of Theoretical Biology 336, 2013, 144-157 more… BibTeX Full text ( DOI )
- Approximating the dynamics of communicating cells in a diffusive medium by ODEs—homogenization with localization. Journal of Mathematical Biology 67 (5), 2013, 1023-1065 more… BibTeX Full text ( DOI )
- Scaling relations between trabecular bone volume fraction and microstructure at different skeletal sites. Bone 57 (2), 2013, 377-383 more… BibTeX Full text ( DOI )
- The computation of long time Hamiltonian trajectories for molecular systems via global geodesics. In: Numerical mathematics and advanced applications 2011. Springer, Heidelberg, 2013, 227--234 more… BibTeX
- Generalized Wiener expansions for individual based control: theory and applications. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
- From simple particle models to GENERIC. Oberwolfach Rep. 10 (4), 2013, 3182--3184 more… BibTeX
2012
- Reproducibility of Trabecular Bone Structure Measurements of the Distal Radius at 1.5 and 3.0 T Magnetic Resonance Imaging. J. Comput. Assist. Tomogr. 36 (5), 2012, 623-626 more… BibTeX Full text ( DOI )
- Upscaling from particle models to entropic gradient flows. J. Math. Phys. 53 (6), 2012, 063704, 9 more… BibTeX Full text ( DOI )
- Open Iwasawa cells and applications to surface theory. In: Variational problems in differential geometry. Cambridge Univ. Press, Cambridge, 2012, 56--67 more… BibTeX
- Prioritized optimization in intensity modulated proton therapy. Zeitschrift für Medizinische Physik 22 (1), 2012, 21-28 more… BibTeX Full text ( DOI )
- Modeling the spread of Phytophthora. Journal of Mathematical Biology 65 (6-7), 2012, 1359-1385 more… BibTeX Full text ( DOI )
- Spatial Heterogeneity of Autoinducer Regulation Systems. Sensors 12 (4), 2012, 4156-4171 more… BibTeX Full text ( DOI )
- On selection criteria for problems with moving inhomogeneities. Contin. Mech. Thermodyn. 24 (1), 2012, 21--36 more… BibTeX Full text ( DOI )
- Numerical simulations of a coupled radiative-conductive heat transfer model using a modified Monte Carlo method. Int. J. Heat Mass Transf. 55 (4), 2012, 649-654 more… BibTeX Full text ( DOI )
- Rate-independent processes with linear growth energies and time-dependent boundary conditions. Discrete Contin. Dyn. Syst. Ser. S 5 (3), 2012, 591--604 more… BibTeX Full text ( DOI )
- On an extension of the space of bounded deformations. Z. Anal. Anwend. 31 (1), 2012, 75--91 more… BibTeX Full text ( DOI )
- Introduction, Workshop \emphInterplay of analysis and probability in physics. Oberwolfach Rep. 9 (1), 2012, 281--283 more… BibTeX Full text ( DOI )
- Dynamics of AHL mediated quorum sensing under flow and non-flow conditions. Physical Biology 9 (2), 2012, 026007 more… BibTeX Full text ( DOI )
- Application of anisotropic structure measures for the classification of mu-CT images of human trabecular bone. MEDICAL IMAGING 2012: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING (Proceedings of SPIE), SPIE-INT SOC OPTICAL ENGINEERING, 2012Conference on Medical Imaging - Biomedical Applications in Molecular, Structural and Functional Imaging, San Diego, CA, FEB 05-07, 2012 more… BibTeX Full text ( DOI )
- Similarities and differences in the mass-structure scaling relations of the trabecular bone taken from different locations in the femur. MEDICAL IMAGING 2012: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING (Proceedings of SPIE), SPIE-INT SOC OPTICAL ENGINEERING, 2012Conference on Medical Imaging - Biomedical Applications in Molecular, Structural and Functional Imaging, San Diego, CA, FEB 05-07, 2012 more… BibTeX Full text ( DOI )
- Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model. J. Nonlinear Sci. 22 (6), 2012, 917--934 more… BibTeX Full text ( DOI )
- Kinetic relations for a lattice model of phase transitions. Arch. Ration. Mech. Anal. 206 (2), 2012, 707--724 more… BibTeX Full text ( DOI )
- Assessment of global morphological and topological changes in trabecular structure under the bone resorption process. MEDICAL IMAGING 2012: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING (Proceedings of SPIE), SPIE-INT SOC OPTICAL ENGINEERING, 2012Conference on Medical Imaging - Biomedical Applications in Molecular, Structural and Functional Imaging, San Diego, CA, FEB 05-07, 2012 more… BibTeX Full text ( DOI )
2011
- From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage. Comm. Math. Phys. 307 (3), 2011, 791--815 more… BibTeX Full text ( DOI )
- Conformal asymptotics of properly embedded annular CMC ends. Pac. J. Appl. Math. 3 (1-2), 2011, 1--10 more… BibTeX
- Triviality of the dressing isotropy for a Smyth-type potential and nonclosing of the resulting CMC surfaces. In: Geometry---Exploratory Workshop on Differential Geometry and its Applications. Cluj Univ. Press, Cluj-Napoca, 2011, 61--70 more… BibTeX
- Foreword---tribute to Hongyou Wu. Pac. J. Appl. Math. 3 (1-2), 2011, vii--viii more… BibTeX
- Amplitude remapping as a step towards standardizing the analysis of MR-images. MEDICAL IMAGING 2011: IMAGE PROCESSING (Proceedings of SPIE), SPIE-INT SOC OPTICAL ENGINEERING, 2011Conference on Medical Imaging 2011 - Image Processing, Lake Buena Vista, FL, FEB 14-16, 2011 more… BibTeX Full text ( DOI )
- A boundary-value problem for the polarized-radiation transfer equation with Fresnel interface conditions for a layered medium. J. Comput. Appl. Math. 235 (8), 2011, 2006-2014 more… BibTeX Full text ( DOI )
- Existence of subsonic heteroclinic waves for the Frenkel-Kontorova model with piecewise quadratic on-site potential. Nonlinearity 24 (4), 2011, 1137--1163 more… BibTeX Full text ( DOI )
- A model of shape memory alloys taking into account plasticity. IMA J. Appl. Math. 76 (1), 2011, 193--216 more… BibTeX Full text ( DOI )
- Mathematical concepts for the micro-mechanical modeling of dislocation dynamics with a phase-field approach. Phil. Mag. 91 (1), 2011, 97--121 more… BibTeX Full text ( DOI )
- Structure based classification of mu-CT images of human trabecular bone using local Minkowski Functionals. MEDICAL IMAGING 2011: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING (Proceedings of SPIE), SPIE-INT SOC OPTICAL ENGINEERING, 2011Conference on Medical Imaging 2011 - Biomedical Applications in Molecular, Structural, and Functional Imaging, Lake Buena Vista, FL, FEB 13-16, 2011 more… BibTeX Full text ( DOI )
- The Epidemiology of Childhood Related Diseases: – Stability Analysis and Optimal Control. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
- Assessing Methods for Characterising Local and Global Structural and Biomechanical Properties of the Trabecular Bone Network. Curr. Med. Chem. 18 (22), 2011, 3402-3409 more… BibTeX Full text ( DOI )
- A polynomial chaos based Bayesian approach for on-line parameter estimation and control. 2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Institute of Electrical and Electronics Engineers, 2011, 1391-1396 more… BibTeX Full text ( DOI )
- Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours. Dyn. Syst. 26 (4), 2011, 503--518 more… BibTeX Full text ( DOI )
2010
- Travelling wave solutions for a quasilinear model of field dislocation mechanics. J. Mech. Phys. Solids 58 (12), 2010, 2043--2053 more… BibTeX Full text ( DOI )
- On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps. Proceedings of the 14th International Workshop on Differential Geometry and the 3rd KNUGRG-OCAMI Differential Geometry Workshop [Volume 14], Natl. Inst. Math. Sci. (NIMS), Taejŏn, 2010 more… BibTeX
- The Björling problem for non-minimal constant mean curvature surfaces. Comm. Anal. Geom. 18 (1), 2010, 171--194 more… BibTeX Full text ( DOI )
- Feedback Loops With Time Scales. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
- Loop groups and surfaces with symmetries. In: Riemann surfaces, harmonic maps and visualization. Osaka Munic. Univ. Press, Osaka, 2010, 29--39 more… BibTeX
- The $tt^*$ structure of the quantum cohomology of $\Bbb Cm̊ P^1$ from the viewpoint of differential geometry. Asian J. Math. 14 (3), 2010, 417--437 more… BibTeX Full text ( DOI )
- Complex surfaces of constant mean curvature fibered by minimal surfaces. Hokkaido Math. J. 39 (1), 2010, 1--55 more… BibTeX Full text ( DOI )
- Sequentielle Optimierung für die intensitätsmodulierte Protonentherapie. Medizinische Physik 2010, 2010DGMP-Tagungsband, 78-81 more… BibTeX
- Dynamic regulation of N -acyl-homoserine lactone production and degradation in Pseudomonas putida IsoF de Dynamic regulation of N-acyl-homoserine lactone production and degradation in Pseudomonas putida IsoF. FEMS Microbiology Ecology 72 (1), 2010, 22-34 more… BibTeX Full text ( DOI )
- A mathematical model of quorum sensing in patchy biofilm communities with slow background flow. Canadian Applied Mathematics Quarterly 18 (3), 2010, 267-298 more… BibTeX
- Mathematical Models for Cell-Cell Communication on Different Scales. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
- Advanced Computing Method for Solving of the Polarized-Radiation Transfer Equation. METHODS AND TOOLS OF PARALLEL PROGRAMMING MULTICOMPUTERS (Lecture Notes in Computer Science), SPRINGER-VERLAG BERLIN, 20102nd Russia-Taiwan Symposium on Methods and Tools of Parallel Programming, Vladivostok, RUSSIA, MAY 16-19, 2010 more… BibTeX
- Evolutionary problems in non-reflexive spaces. ESAIM Control Optim. Calc. Var. 16 (1), 2010, 1--22 more… BibTeX Full text ( DOI )
- Three-dimensional model of martensitic transformations with elasto-plastic effects. Phil. Mag. 90 (11), 2010, 1495--1510 more… BibTeX Full text ( DOI )
- Assessing texture measures with respect to their sensitivity to scale-dependent higher order correlations in medical images using surrogates. MEDICAL IMAGING 2010: IMAGE PROCESSING (Proceedings of SPIE), SPIE-INT SOC OPTICAL ENGINEERING, 2010Conference on Medical Imaging 2010 - Image Processing, San Diego, CA, FEB 14-16, 2010 more… BibTeX Full text ( DOI )
- Scaling relations between bone volume and bone structure as found using 3D mu CT images of the trabecular bone taken from different skeletal sites. MEDICAL IMAGING 2010: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING (Proceedings of SPIE), SPIE-INT SOC OPTICAL ENGINEERING, 2010Conference on Medical Imaging 2010 - Biomedical Applications in Molecular, Structural, and Functional Imaging, San Diego, CA, FEB 14-16, 2010 more… BibTeX Full text ( DOI )
- Advantage of topological texture measures derived from Minkowski Functionals (MF) and Scaling Index Method (SIM) in comparison with biomechanical Finite Elements Method (FEM) for the prediction of osteoporosis. MEDICAL IMAGING 2010: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING (Proceedings of SPIE), SPIE-INT SOC OPTICAL ENGINEERING, 2010Conference on Medical Imaging 2010 - Biomedical Applications in Molecular, Structural, and Functional Imaging, San Diego, CA, FEB 14-16, 2010 more… BibTeX Full text ( DOI )
- A variational approach to the Hamiltonian boundary value problem: existence and approximation. Oberwolfach Rep. 7 (1), 2010, 792--794 more… BibTeX
2009
- Asymptotics of resonances in a thermoelastic model with light local mass perturbations. Quart. Appl. Math. 67 (2), 2009, 311--326 more… BibTeX
- Generalized DPW method and an application to isometric immersions of space forms. Math. Z. 262 (1), 2009, 143--172 more… BibTeX Full text ( DOI )
- Gradient flows in asymmetric metric spaces. Nonlinear Anal. 71 (11), 2009, 5820--5834 more… BibTeX Full text ( DOI )
- Modeling transformation paths of multiphase materials: The triple point of zirconia. Phys. Rev. B 79 (10), 2009, 104114, 12 more… BibTeX Full text ( DOI )
- Rotational hypersurfaces of periodic mean curvature. Differential Geom. Appl. 27 (6), 2009, 702--712 more… BibTeX Full text ( DOI )
- Symmetric pseudospherical surfaces. I. General theory. Results Math. 56 (1-4), 2009, 3--21 more… BibTeX Full text ( DOI )
- Classification of Existence and Non-Existence of Running Fronts in Case of Fast Diffusion. Journal of Advanced Mathematics and Applications 19, 2009, 285-293 more… BibTeX
- Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction. Discrete Contin. Dyn. Syst. 25 (3), 2009, 915--931 more… BibTeX Full text ( DOI )
- Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction. Nonlinear Anal. 70 (9), 2009, 3146--3158 more… BibTeX Full text ( DOI )
- A Curtis–Hedlund–Lyndon theorem for Besicovitch and Weyl spaces. Theoretical Computer Science 410 (38-40), 2009, 3606-3615 more… BibTeX Full text ( DOI )
- Embeddings of dynamical systems into cellular automata. Ergodic Theory and Dynamical Systems 29 (1), 2009, 165-177 more… BibTeX Full text ( DOI )
- Young measure flow as a model for damage. Z. Angew. Math. Phys. 60 (1), 2009, 1--32 more… BibTeX Full text ( DOI )
- Existence of dynamic phase transitions in a one-dimensional lattice model with piecewise quadratic interaction potential. SIAM J. Math. Anal. 41 (3), 2009, 1231--1271 more… BibTeX Full text ( DOI )
- Calculation of long time classical trajectories: Algorithmic treatment and applications for molecular systems. J. Chem. Phys. 130 (12), 2009, 124106, 11 more… BibTeX Full text ( DOI )
- Hybrid Modeling of Noise Reduction by a Negatively Autoregulated System. Bulletin of Mathematical Biology 71 (4), 2009, 1006-1024 more… BibTeX Full text ( DOI )
2008
- Analysis and stochastics of growth processes and interface models. Oxford University Press, Oxford, 2008 more… BibTeX Full text ( DOI )
- Real Fuchsian equations and constant mean curvature surfaces. Mat. Contemp. 35, 2008, 1--25 more… BibTeX
- Associated families of immersions versus curved flats. In: Contemporary geometry and topology and related topics. Cluj Univ. Press, Cluj-Napoca, 2008, 141--151 more… BibTeX
- Generalized Weierstraß representations of surfaces. In: Surveys on geometry and integrable systems. Math. Soc. Japan, Tokyo, 2008, 55--111 more… BibTeX Full text ( DOI )
- On a theorem by Hsiang and Yu. Ann. Global Anal. Geom. 33 (3), 2008, 245--252 more… BibTeX Full text ( DOI )
- Construction of constant mean curvature $n$-noids from holomorphic potentials. Math. Z. 258 (4), 2008, 773--803 more… BibTeX Full text ( DOI )
- Efficiency sensing - was messen Autoinduktoren wirklich? BIOspektrum 1, 2008, 18-21 more… BibTeX
- Introduction, Workshop \emphInterplay of analysis and probability in physics. Oberwolfach Rep. 5 (4), 2008, 3065--3066 more… BibTeX Full text ( DOI )
- Studying the effect of noise on the performance of 2D and 3D texture measures for quantifying the trabecular bone structure as obtained with high resolution MR imaging at 3 Tesla. MEDICAL IMAGING 2008: IMAGE PROCESSING, PTS 1-3 (Proceedings of SPIE 1-3), SPIE-INT SOC OPTICAL ENGINEERING, 2008Medical Imaging 2008 Conference, San Diego, CA, FEB 17-19, 2008 more… BibTeX Full text ( DOI )
- Tolerance and threshold in the extrinsic coagulation system. Mathematical Biosciences 211 (2), 2008, 226-254 more… BibTeX Full text ( DOI )
- Sensitivity of the quorum sensing system is achieved by low pass filtering. Biosystems 92 (1), 2008, 76-81 more… BibTeX Full text ( DOI )
- Transcription, intercellular variability and correlated random walk. Mathematical Biosciences 216 (1), 2008, 30-39 more… BibTeX Full text ( DOI )
- Strength through structure: visualization and local assessment of the trabecular bone structure. New J. Phys. 10, 2008 more… BibTeX Full text ( DOI )
- Comparison and combination of scaling index method and Minkowski Functionals in the analysis of high resolution magnetic resonance images of the distal radius in vitro. MEDICAL IMAGING 2008: IMAGE PROCESSING, PTS 1-3 (Proceedings of SPIE 1-3), SPIE-INT SOC OPTICAL ENGINEERING, 2008Medical Imaging 2008 Conference, San Diego, CA, FEB 17-19, 2008 more… BibTeX Full text ( DOI )
- Modeling Clonal Expansion from M-FISH Experiments. Journal of Computational Biology 15 (2), 2008, 221-230 more… BibTeX Full text ( DOI )
- Travelling waves in atomistic chains and kinetic relations. Oberwolfach Rep. 5 (2), 2008, 1092--1094 more… BibTeX
2007
- Introduction, Miniworkshop \emphMultiscale and Variational Methods in Material Science and Quantum Theory of Solids. Oberwolfach Rep. 4 (1), 2007, 371--372 more… BibTeX
- An asymmetric Arzelà-Ascoli theorem. Topology Appl. 154 (11), 2007, 2312--2322 more… BibTeX
- Coarse classification of constant mean curvature cylinders. Trans. Amer. Math. Soc. 359 (6), 2007, 2483--2500 more… BibTeX Full text ( DOI )
- Unitarization of loop group representations of fundamental groups. Nagoya Math. J. 187, 2007, 1--33 more… BibTeX Full text ( DOI )
- Optimal harvesting and optimal vaccination. Mathematical Biosciences 206 (2), 2007, 249-272 more… BibTeX Full text ( DOI )
- Does efficiency sensing unify diffusion and quorum sensing? Nature Reviews Microbiology 5 (3), 2007, 230-239 more… BibTeX
- On Landau theory and symmetric energy landscapes for phase transitions. J. Mech. Phys. Solids 55 (7), 2007, 1385--1409 more… BibTeX
- Non-Newtonian viscosity of complex-plasma fluids. Phys. Rev. Lett. 98 (14), 2007 more… BibTeX Full text ( DOI )
- Estimating the Tracing Probability from Contact History at the Onset of an Epidemic. Mathematical Population Studies 14, 2007, 211-236 more… BibTeX Full text ( DOI )
- Solitary waves for nonconvex FPU lattices. J. Nonlinear Sci. 17 (1), 2007, 1--12 more… BibTeX Full text ( DOI )
- Modeling the Hes1 Oscillator. Journal of Computational Biology 14 (7), 2007, 984-1000 more… BibTeX Full text ( DOI )
- Discrete dynamic models for phase transitions. Oberwolfach Rep. 4 (1), 2007, 391--392 more… BibTeX
- Evolutionary problems with energies with linear growth. Oberwolfach Rep. 4 (1), 2007, 655--657 more… BibTeX
- Travelling waves in atomic models for phase-transforming materials and kinetic relations. Oberwolfach Rep. 4 (2), 2007, 1642--1645 more… BibTeX
2006
- Construction of planar CMC 4-noids of genus $g=0$. JP J. Geom. Topol. 6 (3), 2006, 319--381 more… BibTeX
- Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices. ESAIM Control Optim. Calc. Var. 12 (2), 2006, 253--270 (electronic) more… BibTeX Full text ( DOI )
- Cell-cell communication by quorum sensing and dimension-reduction. Journal of Mathematical Biology 53 (4), 2006, 672-702 more… BibTeX Full text ( DOI )
- Review of \emphVariational and Extremum Principles in Macroscopic Systems, Stanislaw Sieniutycz and Henrik Farkas (eds). J. Phys. A: Math. Gen. 39 (14), 2006, 3851--3852 more… BibTeX
- Jog my shape memory: dynamics as a challenge in mathematical materials science. Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 364 (1849), 2006, 3285--3300 more… BibTeX
2005
- Weierstrass-type representation for harmonic maps into general symmetric spaces via loop groups. J. Math. Soc. Japan 57 (1), 2005, 69--94 more… BibTeX
- Dressing preserving the fundamental group. Differential Geom. Appl. 23 (2), 2005, 176--204 more… BibTeX Full text ( DOI )
- Global existence for nonconvex thermoelasticity. Adv. Math. Sci. Appl. 15 (2), 2005, 559--569 more… BibTeX
2004
- Harmonic maps into general symmetric spaces via loop groups. In: Recent advances in geometry and topology. Cluj Univ. Press, Cluj-Napoca, 2004, 49--64 more… BibTeX
- Crystal symmetry and the reversibility of martensitic transformations. Nature 428 (6978), 2004, 55--59 more… BibTeX
- Modeling and simulation of martensitic phase transitions with a triple point. J. Mech. Phys. Solids 52 (9), 2004, 2057--2077 more… BibTeX Full text ( DOI )
- Towards the efficient computation of effective properties of microstructured materials. C. R. Mecanique 332 (3), 2004, 169--174 more… BibTeX Full text ( DOI )
- Influence of low power cm-/mm-microwaves on cardiovascular function. International Journal of Environmental Health Research 14 (5), 2004, 331-341 more… BibTeX
- Contact tracing and stochastic trees. Oberwolfach Reports, 2004 more… BibTeX
- Kompartementmodelle im PET. In: Beiträge zur biomedizinischen Bildgebung mit einem Seitenblick auf Molecular Imaging. GSF-Forschungszentrum, 2004, 209-256 more… BibTeX
- Dynamical problems with nonconvex energies as a model of damage in materials. Oberwolfach Rep. 1 (3), 2004, 1650--1652 more… BibTeX
- Stored energy functions for phase transitions in crystals. Arch. Ration. Mech. Anal. 172 (2), 2004, 191--212 more… BibTeX Full text ( DOI )
- Global existence for a nonlinear system in thermoviscoelasticity with nonconvex energy. J. Math. Anal. Appl. 292 (2), 2004, 589--604 more… BibTeX Full text ( DOI )
2003
- Pluriharmonic maps, loop groups and twistor theory. Ann. Global Anal. Geom. 24 (4), 2003, 301--321 more… BibTeX Full text ( DOI )
- Construction of non-simply connected CMC surfaces via dressing. J. Math. Soc. Japan 55 (2), 2003, 335--364 more… BibTeX Full text ( DOI )
- Einfluß von hohen GHz-Signalen auf das vegetative Nervensystem. Forschungsgemeinschaft Funk e. V. , 2003, more… BibTeX
- Isozyme Variability in Brazilian Populations of Araucaria angustifolia. Biociencias 11 (1), 2003, 3-8 more… BibTeX
- Family trees of continuous-time birth-and-death processes. Journal of Applied Probability 40 (4), 2003, 980-994 more… BibTeX Full text ( DOI )
- Modeling the Cytokine Network In Vitro and In Vivo. Journal of Theoretical Medicine 5 (2), 2003, 93-110 more… BibTeX Full text ( DOI )
- Periodic points and dynamic rays of exponential maps. Ann. Acad. Sci. Fenn. Math. 28 (2), 2003, 327--354 more… BibTeX
- Escaping points of exponential maps. J. London Math. Soc. (2) 67 (2), 2003, 380--400 more… BibTeX Full text ( DOI )
- Onset of collisionless magnetic reconnection in thin current sheets: Three-dimensional particle simulations. Phys. Plasmas 10 (9), 2003, 3521-3527 more… BibTeX Full text ( DOI )
- Concept of a Helias ignition experiment. Nucl. Fusion 43 (9), 2003, 889-898 more… BibTeX Full text ( DOI )
2002
- Weierstraß -type representation of timelike surfaces with constant mean curvature. In: Differential geometry and integrable systems (Tokyo, 2000). Amer. Math. Soc., Providence, RI, 2002, 77--99 more… BibTeX Full text ( DOI )
- Finite type Lorentz harmonic maps and the method of Symes. Differential Geom. Appl. 17 (1), 2002, 43--53 more… BibTeX Full text ( DOI )
2001
- Birkhoff decompositions and Iwasawa decompositions for loop groups. Tohoku Math. J. (2) 53 (4), 2001, 593--615 more… BibTeX Full text ( DOI )
- The Helias reactor HSR4/18. Nucl. Fusion 41 (12), 2001, 1759-1766 more… BibTeX Full text ( DOI )
- Stochastic diffusion of energetic ions in optimized stellarators. Phys. Plasmas 8 (6), 2001, 2731-2738 more… BibTeX Full text ( DOI )
- Weierstraß -type representation of affine spheres. Abh. Math. Sem. Univ. Hamburg 71, 2001, 225--250 more… BibTeX Full text ( DOI )
- Bifurcation analysis for a spatially extended random walk system in mathematical biology. Communications in Applied Analysis 5, 2001, 247-264 more… BibTeX
- Discrete cleavage motifs of constitutive and immunoproteasomes revealed by quantitative analysis of cleavage products. Journal of Experimental Medicine 194 (1), 2001, 1-12 more… BibTeX
2000
- A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups. In: , 2000, 7--37 more… BibTeX
- On symmetries of constant mean curvature surfaces. II. Symmetries in a Weierstraß -type representation. Int. J. Math. Game Theory Algebra 10 (2), 2000, 121--146 more… BibTeX
- Investigation and application of the dressing action on surfaces of constant mean curvature. Q. J. Math. 51 (1), 2000, 57--73 more… BibTeX Full text ( DOI )
- Monotonicity of the Number of Passages in Linear Chains and of the Basic Reproduction Number in Epidemic Models. Zeitschrift für Analysis und ihre Anwendungen 19 (1), 2000, 61-75 more… BibTeX
- Contact tracing in stochastic and deterministic epidemic models. Mathematical Biosciences 164 (1), 2000, 39-64 more… BibTeX Full text ( DOI )
- The Mathematics of Infection. Habilitation theses, Tübingen, 2000 more… BibTeX
- Optimal vaccination patterns in age-structured populations: Endemic case. Mathematical and Computer Modelling 31 (4-5), 2000, 149-160 more… BibTeX Full text ( DOI )
- Ring vaccination. Journal of Mathematical Biology 41 (2), 2000, 143-171 more… BibTeX Full text ( DOI )
- Mathematische Modellierung und Analyse von Formgedächtnislegierungen in mehreren Raumdimensionen (Mathematical Modeling and Analysis of Shape Memory Alloys in Several Space Dimensions). Dissertation, 2000 more… BibTeX
1999
- Dynamical Systems of Population Dynamics. In: Ergodic Theory, Analysis and Efficient Simulation of Dynamical Systems. Springer, 1999, 311-332 more… BibTeX
- Scaling Methods and Approximative Equations for Homogeneous Reaction—Diffusion Systems and Applications to Epidemics. Journal of Nonlinear Science 9 (2), 1999, 149-168 more… BibTeX Full text ( DOI )
- Optimal vaccination patterns in age-structured populations. SIAM Journal on Applied Mathematics 59 (1), 1999, 222-241 more… BibTeX
1998
- Systems of PDEs obtained from factorization in loop groups. Acta Appl. Math. 53 (1), 1998, 1--58 more… BibTeX Full text ( DOI )
- On constant mean curvature surfaces with periodic metric. Pacific J. Math. 182 (2), 1998, 229--287 more… BibTeX Full text ( DOI )
- Weierstrass type representation of harmonic maps into symmetric spaces. Comm. Anal. Geom. 6 (4), 1998, 633--668 more… BibTeX Full text ( DOI )
- On symmetries of constant mean curvature surfaces. I. General theory. Tohoku Math. J. (2) 50 (3), 1998, 437--454 more… BibTeX Full text ( DOI )
- Modulation equations and parabolic limits of reaction random-walk systems. Mathematical Methods in the Applied Sciences 21 (13), 1998, 1207-1226 more… BibTeX Full text ( DOI )
1997
- Meromorphic potentials and smooth surfaces of constant mean curvature. Math. Z. 224 (4), 1997, 603--640 more… BibTeX Full text ( DOI )
- Minimal surfaces via loop groups. In: , 1997, 25--40 more… BibTeX
- On the meromorphic potential for a harmonic surface in a $k$-symmetric space. Manuscripta Math. 92 (2), 1997, 143--152 more… BibTeX Full text ( DOI )
- Optimal vaccination strategies — for whom? Mathematical Biosciences 139 (2), 1997, 133-154 more… BibTeX Full text ( DOI )
- Über das Iterationsverhalten von postsingulär endlichen Exponentialabbildungen (On the Iteration of Postsingularly Finite Exponential Maps). , 1997 more… BibTeX
1996
- Symmetric cones. In: Topics in geometry. Birkhäuser Boston, Boston, MA, 1996, 101--121 more… BibTeX
- Weighted $l_1$-Grassmannians and Banach manifolds of solutions of the KP-equation and the KdV-equation. Math. Nachr. 180, 1996, 43--73 more… BibTeX Full text ( DOI )
- Characteristics of charged particles retaining in quadruple magnetic configurations of heliotrone/torsatrone. Pisma Zhurnal Tek. Fiz. 22 (8), 1996, 25-30 more… BibTeX
1995
- PARTICLE CONFINEMENT PROPERTIES OF L-3 REACTOR SCALE HELIOTRON TORSATRON. Fusion Technol. 27 (S), 1995, 264-269 more… BibTeX Full text ( DOI )
- Drift losses of electrons as the potential mechanism of higher heat exchange in low-density plasma. Pisma Zhurnal Tek. Fiz. 21 (11), 1995, 84-90 more… BibTeX
1994
1993
- Homogeneous Kähler and pseudo-Kähler manifolds. Proceedings of the International Workshop on Differential Geometry and its Applications (Bucharest, 1993), 1993 more… BibTeX
- Soliton equations and differential geometry. Proceedings of the International Workshop on Differential Geometry and its Applications (Bucharest, 1993), 1993 more… BibTeX
- Groups associated with a Grassmannian modelled on the Wiener algebra. Integral Equations Operator Theory 17 (4), 1993, 464--500 more… BibTeX Full text ( DOI )
- Banach manifolds of solutions to nonlinear partial differential equations, and relations with finite-dimensional manifolds. In: Differential geometry: partial differential equations on manifolds (Los Angeles, CA, 1990). Amer. Math. Soc., Providence, RI, 1993, 121--139 more… BibTeX Full text ( DOI )
- Riemann-Hilbert factorizations and inverse scattering for the AKNS-equation with $L^1$-potentials. I. Publ. Res. Inst. Math. Sci. 29 (6), 1993, 911--958 more… BibTeX Full text ( DOI )
- Constant mean curvature surfaces and loop groups. J. Reine Angew. Math. 440, 1993, 43--76 more… BibTeX
- Vaccination in age-structured populations I: The reproduction number. In: Models for Infectious Human Diseases: Thieir Structure and Relation to Data. Cambridge University Press, 1993, 90-101 more… BibTeX
- Vaccination in age-structured populations II: Optimal vaccination strategies. In: Models for Infectious Human Diseases: Thieir Structure and Relation to Data. Cambridge University Press, 1993, 102-114 more… BibTeX
- The effects of vaccination on sexually transmitted disease in heterosexual populations. Mathematical Population Dynamics: Proceedings of the third International Conference, Wuerz Puiblishing Ltd., 1993, 251-278 more… BibTeX
1992
- Supplement to: ``Fine structure of reductive pseudo-Kählerian spaces'' [Geom. Dedicata \bf 39 (1991), no. 3, 321--338; MR1123147 (92h:53081)]. Geom. Dedicata 42 (2), 1992, 241--242 more… BibTeX Full text ( DOI )
- Classification of compact homogeneous pseudo-Kähler manifolds. Comment. Math. Helv. 67 (4), 1992, 499--513 more… BibTeX Full text ( DOI )
- Pseudo-Kählerian homogeneous spaces admitting a reductive transitive group of automorphisms. Math. Z. 209 (1), 1992, 89--100 more… BibTeX Full text ( DOI )
- Principal fiber bundle interpretation of the KP-hierarchy. Publ. Res. Inst. Math. Sci. 28 (4), 1992, 503--533 more… BibTeX Full text ( DOI )
1991
- Automorphisms of the KdV-subvariety. Integral Equations Operator Theory 14 (2), 1991, 192--212 more… BibTeX Full text ( DOI )
- Banach manifolds of constant mean curvature surfaces. In: Geometry and topology of submanifolds, III (Leeds, 1990). World Sci. Publ., River Edge, NJ, 1991, 153--162 more… BibTeX
- Fine structure of reductive pseudo-Kählerian spaces. Geom. Dedicata 39 (3), 1991, 321--338 more… BibTeX Full text ( DOI )
1990
- The biholomorphic curvature of quasisymmetric Siegel domains. J. Differential Geom. 31 (1), 1990, 73--99 more… BibTeX
- Special algebraic properties of Kähler algebras. Tsukuba J. Math. 14 (2), 1990, 315--326 more… BibTeX Full text ( DOI )
- Isoparametric triple systems with special $\bf Z$-structure. Algebras Groups Geom. 7 (1), 1990, 21--94 more… BibTeX
- Banach manifolds and their automorphisms associated with groups of type $C_ınfty$ and $D_ınfty$. In: Lie algebra and related topics (Madison, WI, 1988). Amer. Math. Soc., Providence, RI, 1990, 43--65 more… BibTeX Full text ( DOI )
1989
- Automorphisms of Banach manifolds associated with the KP-equation. Quart. J. Math. Oxford Ser. (2) 40 (158), 1989, 161--195 more… BibTeX Full text ( DOI )
- Proof of the radical conjecture for homogeneous Kähler manifolds. Nagoya Math. J. 114, 1989, 77--122 more… BibTeX Full text ( DOI )
1988
- Flat totally geodesic submanifolds of quasisymmetric Siegel domains. Geom. Dedicata 28 (3), 1988, 321--336 more… BibTeX Full text ( DOI )
- The fundamental conjecture for homogeneous Kähler manifolds. Acta Math. 161 (1-2), 1988, 23--70 more… BibTeX Full text ( DOI )
1986
- The radical conjecture for homogeneous Kähler manifolds. In: Lie algebras and related topics (Windsor, Ont., 1984). Amer. Math. Soc., Providence, RI, 1986, 189--208 more… BibTeX
- The fundamental conjecture for homogeneous Kähler manifolds. C. R. Acad. Sci. Paris Sér. I Math. 303 (8), 1986, 335--338 more… BibTeX Full text ( DOI )
1985
- The isotropy representation for homogeneous Siegel domains. Pacific J. Math. 120 (2), 1985, 295--326 more… BibTeX
- Variétés homogènes kählériennes. C. R. Acad. Sci. Paris Sér. I Math. 301 (4), 1985, 97--98 more… BibTeX
- Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms. Ann. Sci. École Norm. Sup. (4) 18 (1), 1985, 143--180 more… BibTeX
- Simply transitive groups and Kähler structures on homogeneous Siegel domains. Trans. Amer. Math. Soc. 288 (1), 1985, 293--305 more… BibTeX Full text ( DOI )
- Isoparametric hypersurfaces, case $g=6, m=1$. Comm. Algebra 13 (11), 1985, 2299--2368 more… BibTeX Full text ( DOI )
1984
- Classification of certain pairs of operators $(P,\,Q)$ satisfying $[P,\,Q]=-i$ $m̊ Id$. J. Funct. Anal. 57 (3), 1984, 301--328 more… BibTeX Full text ( DOI )
- Isoparametric triple systems of FKM-type. III. Algebras Groups Geom. 1 (3), 1984, 305--343 more… BibTeX
1983
- Isoparametric triple systems of FKM-type. I. Abh. Math. Sem. Univ. Hamburg 53, 1983, 191--216 more… BibTeX Full text ( DOI )
- Umkehrbare und nilpotente Polynome. Abh. Math. Sem. Univ. Hamburg 53, 1983, 170--190 more… BibTeX Full text ( DOI )
- Isoparametric triple systems of algebra type. Osaka J. Math. 20 (1), 1983, 145--175 more… BibTeX
- Isoparametric triple systems of FKM-type. II. Manuscripta Math. 43 (1), 1983, 13--44 more… BibTeX Full text ( DOI )
- An algebraic approach to isoparametric hypersurfaces in spheres. I, II. Tohoku Math. J. (2) 35 (2), 1983, 187--224, 225--247 more… BibTeX Full text ( DOI )
1980
- Quasiclans. Abh. Math. Sem. Univ. Hamburg 50, 1980, 178--187 more… BibTeX Full text ( DOI )
- Quasisymmetric Siegel domains and the automorphisms of homogeneous Siegel domains. Amer. J. Math. 102 (3), 1980, 537--563 more… BibTeX Full text ( DOI )
1979
- Peirce-Zerlegungen und Jordan-Strukturen zu homogenen Kegeln. Math. Z. 169 (2), 1979, 179--194 more… BibTeX Full text ( DOI )
- Inductive construction of homogeneous cones. Trans. Amer. Math. Soc. 252, 1979, 321--349 more… BibTeX Full text ( DOI )
- Algebraic description of homogeneous cones. Trans. Amer. Math. Soc. 255, 1979, 61--89 more… BibTeX Full text ( DOI )
1978
- Theta functions for special, formally real Jordan algebras, a remark on a paper of H. L. Resnikoff: ``Theta functions for Jordan algebras'' (Invent. Math. \bf 31 (1975), no. 1, 87--104). Invent. Math. 44 (2), 1978, 103--108 more… BibTeX Full text ( DOI )
- Reguläre Kegel. Jahresber. Deutsch. Math.-Verein. 81 (3), 1978, 109--151 more… BibTeX
1977
- Relative Invarianten und nicht-assoziative Algebren. Math. Ann. 228 (2), 1977, 147--186 more… BibTeX Full text ( DOI )
1975
- Zur Konstruktion homogener Kegel. Math. Ann. 216, 1975, 79--96 more… BibTeX Full text ( DOI )