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2024
- Opinion Models, Election Data, and Political Theory. Entropy 26 (3), 2024, 212 mehr… BibTeX Volltext ( DOI )
2023
- Social Response and Measles Dynamics. Stats 6 (4), 2023, 1280-1297 mehr… BibTeX Volltext ( DOI )
- Mechanistic modeling of brain metastases in NSCLC provides computational markers for personalized prediction of outcome. medRxiv, 2023 mehr… BibTeX Volltext ( DOI )
- Analysis 1. Springer Spektrum, 2023 mehr… BibTeX Volltext ( DOI )
- Statistical-Physics-Informed Neural Networks (Stat-PINNs): A Machine Learning Strategy for Coarse-graining Dissipative Dynamics. 2023 mehr… BibTeX
- Statistical-Physics-Informed Neural Networks (Stat-PINNs): A Machine Learning Strategy for Coarse-graining Dissipative Dynamics. 2023 mehr… BibTeX
- Age structure, replicator equation, and the prisoner’s dilemma. Mathematical Biosciences, 2023, 109076 mehr… BibTeX Volltext ( DOI )
- Contact tracing & super-spreaders in the branching-process model. Journal of Mathematical Biology 86 (2), 2023 mehr… BibTeX Volltext ( DOI )
- Parameter estimation for contact tracing in graph-based models. Journal of The Royal Society Interface 20 (208), 2023 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- A phase-field model for non-small cell lung cancer under the effects of immunotherapy. , 2023 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Quasi-static diffusion model of complex heat transfer with reflection and refraction conditions. J. Math. Anal. Appl. 507 (1), 2022 mehr… BibTeX Volltext ( DOI )
- Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group. Complex Manifolds 9 (1), 2022, 285--336 mehr… BibTeX Volltext ( DOI )
- On decompositions of non-reversible processes. , 2022MMSC 2022 mehr… BibTeX
- Modeling of Cerebral Blood Flow Autoregulation Using Mathematical Control Theory. Mathematics 10 (12), 2022 mehr… BibTeX Volltext ( DOI )
- Second-order asymptotic expansion and thermodynamic interpretation of a fast-slow Hamiltonian system. Lett. Math. Phys. 112 (6), 2022, Paper No. 119, 32 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Optimal multiplicative control of bacterial quorum sensing under external enzyme impact. Math. Model. Nat. Phenom. 17, 2022 mehr… BibTeX Volltext ( DOI )
- A Multi-Scale Model for Cholera Outbreaks. Mathematics 10 (17), 2022, 3114 mehr… BibTeX Volltext ( DOI )
- Life-History traits and the replicator equation. Mathematical Biosciences 349, 2022, 108826 mehr… BibTeX Volltext ( DOI )
- Echo chambers and opinion dynamics explain the occurrence of vaccination hesitancy. Royal Society Open Science 9 (10), 2022 mehr… BibTeX Volltext ( DOI )
- Quiescence Generates Moving Average in a Stochastic Epidemiological Model with One Host and Two Parasites. Mathematics 10 (13), 2022, 2289 mehr… BibTeX Volltext ( DOI )
- Mathematical modeling and lung cancer: quantifiable prognostic models improve clinical routine care. Dissertation, 2022 mehr… BibTeX
- Glycocalyx Sensing with a Mathematical Model of Acoustic Shear Wave Biosensor. Bioengineering-Basel 9 (9), 2022 mehr… BibTeX Volltext ( DOI )
2021
- Condensation of SIP particles and sticky Brownian motion. J. Stat. Phys. 183 (3), 2021, Paper No. 40, 42 mehr… BibTeX Volltext ( DOI )
- Higher order fluctuation fields and orthogonal duality polynomials. Electron. J. Probab. 26, 2021, Paper No. 27, 35 mehr… BibTeX Volltext ( DOI )
- Well-posedness for a regularised inertial Dean-Kawasaki model for slender particles in several space dimensions. J. Differential Equations 284, 2021, 253--283 mehr… BibTeX Volltext ( DOI )
- Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space. Ann. Mat. Pura Appl. (4) 200 (2), 2021, 521--546 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Weierstrass-Kenmotsu representation of Willmore surfaces in spheres. Nagoya Math. J. 244, 2021, 35--59 mehr… BibTeX Volltext ( DOI )
- A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation. Comm. Math. Phys. 385 (1), 2021, 1--54 mehr… BibTeX Volltext ( DOI )
- Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: thermodynamic interpretation and simulation. Phys. D 428, 2021, Paper No. 133036, 32 mehr… BibTeX Volltext ( DOI )
- Inverse extremum problem for a model of endovenous laser ablation. J. Inverse Ill-Posed Probl. 29 (3), 2021, 467-476 mehr… BibTeX Volltext ( DOI )
- MODELING THE PRESSURE DISTRIBUTION IN A SPATIALLY AVERAGED CEREBRAL CAPILLARY NETWORK. Math. Control Relat. Fields 11 (3), 2021, 643-652 mehr… BibTeX Volltext ( DOI )
- An inverse problem for equations of cerebral oxygen transport. Appl. Math. Comput. 402, 2021 mehr… BibTeX Volltext ( DOI )
- Non-Stationary Model of Cerebral Oxygen Transport with Unknown Sources. Mathematics 9 (8), 2021 mehr… BibTeX Volltext ( DOI )
- Should I stay or should I go? eLife 10, 2021 mehr… BibTeX Volltext ( DOI )
- Contact tracing – Old models and new challenges. Infectious Disease Modelling 6, 2021, 222-231 mehr… BibTeX Volltext ( DOI )
- Forward thinking on backward tracing. Nature Physics 17 (5), 2021, 555-556 mehr… BibTeX Volltext ( DOI )
- The impact of digital contact tracing on the SARS-CoV-2 pandemic—a comprehensive modelling study. EPJ Data Science 10 (1), 2021 mehr… BibTeX Volltext ( DOI )
- Orthogonality of fluxes in general nonlinear reaction networks. Discrete Contin. Dyn. Syst. Ser. S 14 (1), 2021, 205--217 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Mathematical modeling of the hematocrit influence on cerebral blood flow in preterm infants. PLoS One 16 (12), 2021 mehr… BibTeX Volltext ( DOI )
2020
- From weakly interacting particles to a regularised Dean-Kawasaki model. Nonlinearity 33 (2), 2020, 864--891 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- On symmetric Willmore surfaces in spheres II: The orientation reversing case. Differential Geom. Appl. 69, 2020, 101606, 27 mehr… BibTeX Volltext ( DOI )
- Classification of homogeneous Willmore surfaces in $S^n$. Osaka J. Math. 57 (4), 2020, 805--817 mehr… 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 mehr… BibTeX
- Mathematical Population Genetics and Evolution of Bacterial Cooperation. WORLD SCIENTIFIC, 2020 mehr… BibTeX Volltext ( DOI )
- Nonstationary Model of Oxygen Transport in Brain Tissue. Comput. Math. Method Med. 2020, 2020 mehr… BibTeX Volltext ( 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 mehr… BibTeX
- Assessing key clinical parameters before and after intraventricular hemorrhage in very preterm infants. Eur. J. Pediatr. 179 (6), 2020, 929-937 mehr… BibTeX Volltext ( DOI )
- Exact and approximate formulas for contact tracing on random trees. Mathematical Biosciences 321, 2020, 108320 mehr… BibTeX Volltext ( DOI )
- Effective Hamiltonian dynamics via the Maupertuis principle. Discrete Contin. Dyn. Syst. Ser. S 13 (4), 2020, 1395--1410 mehr… BibTeX Volltext ( DOI )
- Assessing haemorrhage-critical values of cerebral blood flow by modelling biomechanical stresses on capillaries in the immature brain. Sci Rep 10 (1), 2020 mehr… BibTeX Volltext ( DOI )
- Evolutionary Stabilization of Cooperative Toxin Production through a Bacterium-Plasmid-Phage Interplay. mBio 11 (4), 2020 mehr… BibTeX Volltext ( DOI )
- Machine learning models for identifying preterm infants at risk of cerebral hemorrhage. PLoS One 15 (1), 2020 mehr… BibTeX Volltext ( DOI )
- On fluctuations in particle systems and their links to macroscopic models. Oberwolfach Rep. 17 (2/3), 2020, 1421--1424 mehr… BibTeX
2019
- Minimizing movements for oscillating energies: the critical regime. Proc. Roy. Soc. Edinburgh Sect. A 149 (3), 2019, 719--737 mehr… BibTeX Volltext ( DOI )
- Accounting for Tube Hematocrit in Modeling of Blood Flow in Cerebral Capillary Networks. Comput. Math. Method Med. 2019, 2019 mehr… BibTeX Volltext ( DOI )
- Extended model of impaired cerebral autoregulation in preterm infants: Heuristic feedback control. Math. Biosci. Eng. 16 (4), 2019, 2334-2352 mehr… BibTeX Volltext ( DOI )
- Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential. J. Math. Pures Appl. (9) 123, 2019, 1--40 mehr… BibTeX Volltext ( DOI )
- Problem of radiation heat exchange with boundary conditions of the Cauchy type. Commun. Nonlinear Sci. Numer. Simul. 75, 2019, 262-269 mehr… BibTeX Volltext ( DOI )
- A regularised Dean-Kawasaki model: derivation and analysis. SIAM J. Math. Anal. 51 (2), 2019, 1137--1187 mehr… BibTeX Volltext ( DOI )
- Survey on real forms of the complex $A_2^(2)$-Toda equation and surface theory. Complex Manifolds 6 (1), 2019, 194--227 mehr… BibTeX Volltext ( DOI )
- Willmore surfaces in spheres: the DPW approach via the conformal Gauss map. Abh. Math. Semin. Univ. Hambg. 89 (1), 2019, 77--103 mehr… BibTeX Volltext ( DOI )
- Universality of neutral models: decision process in politics. Palgrave Communications 5 (1), 2019 mehr… BibTeX Volltext ( DOI )
- A variational structure for interacting particle systems and their hydrodynamic scaling limits. Commun. Math. Sci. 17 (3), 2019, 739--780 mehr… BibTeX Volltext ( 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 mehr… BibTeX
- Continuum model of oxygen transport in brain. J. Math. Anal. Appl. 474 (2), 2019, 1352-1363 mehr… BibTeX Volltext ( DOI )
- Postnatal Paraclinical Parameters Associated to Occurrence of Intracerebral Hemorrhage in Preterm Infants. Neuropediatrics 50 (2), 2019, 103-110 mehr… BibTeX Volltext ( DOI )
- Harnessing fluctuations to discover dissipative evolution equations. J. Mech. Phys. Solids 131, 2019, 240--251 mehr… BibTeX Volltext ( DOI )
- Global stability properties of a class of renewal epidemic models. Journal of Mathematical Biology 78 (6), 2019, 1713-1725 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Evolutionary model for the unequal segregation of high copy plasmids. PLOS Computational Biology 15 (3), 2019, e1006724 mehr… BibTeX Volltext ( DOI )
- Are the better cooperators dormant or quiescent? Mathematical Biosciences 318, 2019, 108272 mehr… BibTeX Volltext ( DOI )
- Transport equations and plasmid-induced cellular heterogeneity. Dissertation, 2019 mehr… BibTeX Volltext (mediaTUM)
2018
- Quantitative Boltzmann-Gibbs principles via orthogonal polynomial duality. J. Stat. Phys. 171 (6), 2018, 980--999 mehr… BibTeX Volltext ( DOI )
- Direct modeling of blood flow through the vascular network of the germinal matrix. Comput. Biol. Med. 92, 2018, 147-155 mehr… BibTeX Volltext ( DOI )
- Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions. Commun. Nonlinear Sci. Numer. Simul. 57, 2018, 290-298 mehr… BibTeX Volltext ( DOI )
- Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange. J. Math. Anal. Appl. 460 (2), 2018, 737-744 mehr… BibTeX Volltext ( DOI )
- Theta functions on tube domains. Abh. Math. Semin. Univ. Hambg. 88 (2), 2018, 273--288 mehr… BibTeX Volltext ( DOI )
- The semi-infinite asymmetric exclusion process: large deviations via matrix products. Potential Anal. 48 (3), 2018, 301--323 mehr… BibTeX Volltext ( DOI )
- Computing diffusivities from particle models out of equilibrium. Proc. A. 474 (2212), 2018, 20170694, 21 mehr… BibTeX Volltext ( DOI )
- Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects. Bull. Malays. Math. Sci. Soc. 41 (2), 2018, 919--943 mehr… BibTeX Volltext ( DOI )
- Effects of population- and seed bank size fluctuations on neutral evolution and efficacy of natural selection. Theoretical Population Biology 123, 2018, 45-69 mehr… BibTeX Volltext ( DOI )
- Canonical structure and orthogonality of forces and currents in irreversible Markov chains. J. Stat. Phys. 170 (6), 2018, 1019--1050 mehr… BibTeX Volltext ( 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 mehr… 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 mehr… BibTeX Volltext ( DOI )
2017
- Travelling waves for a Frenkel-Kontorova chain. J. Differential Equations 263 (4), 2017, 2317--2342 mehr… BibTeX Volltext ( DOI )
- INHOMOGENEOUS STEADY-STATE PROBLEM OF COMPLEX HEAT TRANSFER. ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer. 51 (6), 2017, 2511-2519 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Proc. R. Soc. A 473 (2203), 2017, 20170235 mehr… BibTeX Volltext ( DOI )
- Hydrodynamic limit of condensing two-species zero range processes with sub-critical initial profiles. J. Stat. Phys. 168 (4), 2017, 794--825 mehr… BibTeX Volltext ( DOI )
- Cellular Automata: Analysis and Applications. Springer International Publishing, 2017 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics. Entropy 19 (10), 2017, 562 mehr… BibTeX Volltext ( DOI )
- Acceleration of convergence to equilibrium in Markov chains by breaking detailed balance. J. Stat. Phys. 168 (2), 2017, 259--287 mehr… BibTeX
- Fisher–Wright model with deterministic seed bank and selection. Theoretical Population Biology 114, 2017, 29-39 mehr… BibTeX Volltext ( 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 mehr… BibTeX
- Application of the PAMONO-Sensor for Quantification of Microvesicles and Determination of Nano-Particle Size Distribution. Sensors 17 (2), 2017 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- On fluctuations in Markov chains. Oberwolfach Reports 14 (4), 2017, 3242--3245 mehr… BibTeX
2016
- Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model. Appl. Math. Comput. 289, 2016, 371-380 mehr… BibTeX Volltext ( DOI )
- Entropic and gradient flow formulations for nonlinear diffusion. J. Math. Phys. 57 (8), 2016, 081505, 13 mehr… BibTeX Volltext ( DOI )
- A loop group method for minimal surfaces in the three-dimensional Heisenberg group. Asian J. Math. 20 (3), 2016, 409--448 mehr… BibTeX Volltext ( DOI )
- A loop group method for affine harmonic maps into Lie groups. Adv. Math. 298, 2016, 207--253 mehr… BibTeX Volltext ( DOI )
- On the Bernstein problem in the three-dimensional Heisenberg group. Canad. Math. Bull. 59 (1), 2016, 50--61 mehr… BibTeX Volltext ( 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 mehr… BibTeX
- A new look at equivariant minimal Lagrangian surfaces in $\Bbb CP^2$. In: Geometry and topology of manifolds. Springer, [Tokyo], 2016, 97--125 mehr… BibTeX Volltext ( DOI )
- Pseudospherical surfaces of low differentiability. Adv. Geom. 16 (1), 2016, 1--20 mehr… BibTeX Volltext ( DOI )
- Boundary optimal control problem of complex heat transfer model. J. Math. Anal. Appl. 433 (2), 2016, 1243-1260 mehr… BibTeX Volltext ( DOI )
- Nonlocal unique solvability of a steady-state problem of complex heat transfer. Comput. Math. Math. Phys. 56 (5), 2016, 802-809 mehr… BibTeX Volltext ( DOI )
- Optimal boundary control of a steady-state heat transfer model accounting for radiative effects. J. Math. Anal. Appl. 439 (2), 2016, 678-689 mehr… BibTeX Volltext ( DOI )
- The effect of delay on contact tracing. Mathematical Biosciences 282, 2016, 204-214 mehr… BibTeX Volltext ( DOI )
- A Precise Temperature-Responsive Bistable Switch Controlling Yersinia Virulence. PLOS Pathogens 12 (12), 2016, e1006091 mehr… BibTeX Volltext ( DOI )
- A convergent string method: Existence and approximation for the Hamiltonian boundary-value problem. In: World Scientific, 2016 mehr… BibTeX
- Computer assisted detection and quantification of single adsorbing nanoparticles by differential surface plasmon microscopy. Microchim. Acta 183 (1), 2016, 101-109 mehr… BibTeX Volltext ( DOI )
2015
- Introduction, Workshop \emphInterplay of Analysis and Probability in Applied Mathematics. Oberwolfach Rep. 12 (3), 2015, 1989--1991 mehr… 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 mehr… BibTeX
- Short term uptake and transport process for metformin in roots of Phragmites australis and Typha latifolia. Chemosphere 134, 2015, 307-312 mehr… BibTeX Volltext ( DOI )
- On symmetric Willmore surfaces in spheres I: The orientation preserving case. Differential Geom. Appl. 43, 2015, 102--129 mehr… BibTeX Volltext ( DOI )
- Stability of travelling wavefronts in discrete reaction-diffusion equations with nonlocal delay effects. Nonlinearity 28 (2), 2015, 463--492 mehr… BibTeX Volltext ( DOI )
- Functionality of autoinducer systems in complex envirronments – 5. In: The Physical Basis of Bacterial Quorum Communication. Springer, 2015, 83-103 mehr… BibTeX Volltext ( DOI )
- Cellular non-deterministic automata and partial differential equations. Physica D: Nonlinear Phenomena 311-312, 2015, 1-16 mehr… BibTeX Volltext ( DOI )
- A new network approach to Bayesian inference in partial differential equations. International Journal for Numerical Methods in Engineering 104, 2015, 313-329 mehr… BibTeX Volltext ( DOI )
- Unique solvability of a steady-state complex heat transfer model. Commun. Nonlinear Sci. Numer. Simul. 20 (3), 2015, 776-784 mehr… BibTeX Volltext ( DOI )
- An Approximative Approach for Single Cell Spatial Modeling of Quorum Sensing. Journal of Computational Biology 22 (3), 2015, 227-235 mehr… BibTeX Volltext ( DOI )
- Graphical limit sets for general cellular automata. Theoretical Computer Science 580, 2015, 14-27 mehr… BibTeX Volltext ( DOI )
- Methods and Models in Mathematical Biology – Deterministic and stochastic approaches. Springer Berlin Heidelberg, 2015 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Entropy production and the geometry of dissipative evolution equations. Phys. Rev. E 92 (5), 2015, 052117, 7 mehr… BibTeX Volltext ( DOI )
- The Finsler metric obtained as the $Γ$-limit of a generalised Manhattan metric. J. Convex Anal. 22 (1), 2015, 19--36 mehr… 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 mehr… BibTeX
- Parametrization of Random Vectors in Polynomial Chaos Expansions via Optimal Transportation. SIAM Journal on Scientific Computing 37, 2015, A2535-A2557 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Constant mean curvature surfaces in hyperbolic 3-space via loop groups. J. Reine Angew. Math. 686, 2014, 1--36 mehr… BibTeX Volltext ( DOI )
- Minding's theorem for low degrees of differentiability. Tokyo J. Math. 37 (2), 2014, 503--508 mehr… BibTeX Volltext ( DOI )
- Conservative-dissipative approximation schemes for a generalized Kramers equation. Math. Methods Appl. Sci. 37 (16), 2014, 2517--2540 mehr… BibTeX Volltext ( DOI )
- Evidence of Autoinducer-Dependent and -Independent Heterogeneous Gene Expression in Sinorhizobium fredii NGR234. Applied and Environmental Microbiology 80 (18), 2014, 5572-5582 mehr… BibTeX Volltext ( DOI )
- Geometrical interpretation of fluctuating hydrodynamics in diffusive systems. J. Phys. A 47 (48), 2014, 485001, 17 mehr… BibTeX Volltext ( DOI )
- State-Discrete Probabilistic Methods for Partial Differential Equations. Dissertation, 2014 mehr… BibTeX Volltext (mediaTUM)
- Cellular Probabilistic Automata---A Novel Method for Uncertainty Propagation. SIAM/ASA Journal on Uncertainty Quantification 2 (1), 2014, 29-54 mehr… BibTeX Volltext ( DOI )
- Stationary free convection problem with radiative heat exchange. Differ. Equ. 50 (12), 2014, 1592-1599 mehr… BibTeX Volltext ( DOI )
- Steady-state problem of complex heat transfer. Comput. Math. Math. Phys. 54 (4), 2014, 719-726 mehr… BibTeX Volltext ( DOI )
- Solvability of P-1 approximation of a conductive-radiative heat transfer problem. Appl. Math. Comput. 249, 2014, 247-252 mehr… BibTeX Volltext ( DOI )
- Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer. J. Math. Anal. Appl. 412 (1), 2014, 520-528 mehr… BibTeX Volltext ( DOI )
- The unique solvability of a complex 3D heat transfer problem. J. Math. Anal. Appl. 409 (2), 2014, 808-815 mehr… BibTeX Volltext ( DOI )
- Model selection for microbial nutrient uptake using a cost-benefit approach. Mathematical Biosciences 255, 2014, 52-70 mehr… BibTeX Volltext ( DOI )
- Determination of optimal vaccination strategies using an orbital stability threshold from periodically driven systems. Journal of Mathematical Biology 68 (3), 2014, 763-784 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Individual-Based Model for Quorum Sensing with Background Flow. Bulletin of Mathematical Biology 76, 2014, 1727-1746 mehr… BibTeX Volltext ( DOI )
- Travelling lattice waves in a toy model of Lennard-Jones interaction. Quart. Appl. Math. 72 (1), 2014, 65--84 mehr… BibTeX Volltext ( 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 mehr… BibTeX
2013
- Large deviations and gradient flows. Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 371 (2005), 2013, 20120341, 17 mehr… BibTeX Volltext ( DOI )
- On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps. Results Math. 63 (1-2), 2013, 335--376 mehr… BibTeX Volltext ( DOI )
- Darboux transforms and simple factor dressing of constant mean curvature surfaces. Manuscripta Math. 140 (1-2), 2013, 213--236 mehr… BibTeX Volltext ( DOI )
- Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics. Math. Mech. Solids 18 (8), 2013, 803--822 mehr… BibTeX
- Caesium accumulation in yeast and plants is selectively repressed by loss of the SNARE Sec22p/SEC22. Nature Communications 4, 2013, 2092 mehr… BibTeX Volltext ( DOI )
- GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles. Nonlinearity 26 (11), 2013, 2951--2971 mehr… BibTeX Volltext ( DOI )
- Subsonic phase transition waves in bistable lattice models with small spinodal region. SIAM J. Math. Anal. 45 (5), 2013, 2625--2645 mehr… BibTeX Volltext ( DOI )
- An iterative method for solving a complex heat transfer problem. Appl. Math. Comput. 219 (17), 2013, 9356-9362 mehr… BibTeX Volltext ( DOI )
- Modelling of thin martensitic films with nonpolynomial stored energies. In: Recent trends in dynamical systems. Springer, Basel, 2013, 587--608 mehr… BibTeX Volltext ( DOI )
- Bet-hedging in stochastically switching environments. Journal of Theoretical Biology 336, 2013, 144-157 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Scaling relations between trabecular bone volume fraction and microstructure at different skeletal sites. Bone 57 (2), 2013, 377-383 mehr… BibTeX Volltext ( 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 mehr… BibTeX
- Generalized Wiener expansions for individual based control: theory and applications. Dissertation, 2013 mehr… BibTeX Volltext (mediaTUM)
- From simple particle models to GENERIC. Oberwolfach Rep. 10 (4), 2013, 3182--3184 mehr… 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 mehr… BibTeX Volltext ( DOI )
- Upscaling from particle models to entropic gradient flows. J. Math. Phys. 53 (6), 2012, 063704, 9 mehr… BibTeX Volltext ( DOI )
- Open Iwasawa cells and applications to surface theory. In: Variational problems in differential geometry. Cambridge Univ. Press, Cambridge, 2012, 56--67 mehr… BibTeX
- Prioritized optimization in intensity modulated proton therapy. Zeitschrift für Medizinische Physik 22 (1), 2012, 21-28 mehr… BibTeX Volltext ( DOI )
- Modeling the spread of Phytophthora. Journal of Mathematical Biology 65 (6-7), 2012, 1359-1385 mehr… BibTeX Volltext ( DOI )
- Spatial Heterogeneity of Autoinducer Regulation Systems. Sensors 12 (4), 2012, 4156-4171 mehr… BibTeX Volltext ( DOI )
- On selection criteria for problems with moving inhomogeneities. Contin. Mech. Thermodyn. 24 (1), 2012, 21--36 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Rate-independent processes with linear growth energies and time-dependent boundary conditions. Discrete Contin. Dyn. Syst. Ser. S 5 (3), 2012, 591--604 mehr… BibTeX Volltext ( DOI )
- On an extension of the space of bounded deformations. Z. Anal. Anwend. 31 (1), 2012, 75--91 mehr… BibTeX Volltext ( DOI )
- Introduction, Workshop \emphInterplay of analysis and probability in physics. Oberwolfach Rep. 9 (1), 2012, 281--283 mehr… BibTeX Volltext ( DOI )
- Dynamics of AHL mediated quorum sensing under flow and non-flow conditions. Physical Biology 9 (2), 2012, 026007 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model. J. Nonlinear Sci. 22 (6), 2012, 917--934 mehr… BibTeX Volltext ( DOI )
- Kinetic relations for a lattice model of phase transitions. Arch. Ration. Mech. Anal. 206 (2), 2012, 707--724 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Conformal asymptotics of properly embedded annular CMC ends. Pac. J. Appl. Math. 3 (1-2), 2011, 1--10 mehr… 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 mehr… BibTeX
- Foreword---tribute to Hongyou Wu. Pac. J. Appl. Math. 3 (1-2), 2011, vii--viii mehr… 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Existence of subsonic heteroclinic waves for the Frenkel-Kontorova model with piecewise quadratic on-site potential. Nonlinearity 24 (4), 2011, 1137--1163 mehr… BibTeX Volltext ( DOI )
- A model of shape memory alloys taking into account plasticity. IMA J. Appl. Math. 76 (1), 2011, 193--216 mehr… BibTeX Volltext ( DOI )
- Mathematical concepts for the micro-mechanical modeling of dislocation dynamics with a phase-field approach. Phil. Mag. 91 (1), 2011, 97--121 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- The Epidemiology of Childhood Related Diseases: – Stability Analysis and Optimal Control. Dissertation, 2011 mehr… BibTeX Volltext (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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
2010
- Travelling wave solutions for a quasilinear model of field dislocation mechanics. J. Mech. Phys. Solids 58 (12), 2010, 2043--2053 mehr… BibTeX Volltext ( 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 mehr… BibTeX
- The Björling problem for non-minimal constant mean curvature surfaces. Comm. Anal. Geom. 18 (1), 2010, 171--194 mehr… BibTeX Volltext ( DOI )
- Feedback Loops With Time Scales. Dissertation, 2010 mehr… BibTeX Volltext (mediaTUM)
- Loop groups and surfaces with symmetries. In: Riemann surfaces, harmonic maps and visualization. Osaka Munic. Univ. Press, Osaka, 2010, 29--39 mehr… 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 mehr… BibTeX Volltext ( DOI )
- Complex surfaces of constant mean curvature fibered by minimal surfaces. Hokkaido Math. J. 39 (1), 2010, 1--55 mehr… BibTeX Volltext ( DOI )
- Sequentielle Optimierung für die intensitätsmodulierte Protonentherapie. Medizinische Physik 2010, 2010DGMP-Tagungsband, 78-81 mehr… 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 mehr… BibTeX Volltext ( DOI )
- A mathematical model of quorum sensing in patchy biofilm communities with slow background flow. Canadian Applied Mathematics Quarterly 18 (3), 2010, 267-298 mehr… BibTeX
- Mathematical Models for Cell-Cell Communication on Different Scales. Dissertation, 2010 mehr… BibTeX Volltext (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 mehr… BibTeX
- Evolutionary problems in non-reflexive spaces. ESAIM Control Optim. Calc. Var. 16 (1), 2010, 1--22 mehr… BibTeX Volltext ( DOI )
- Three-dimensional model of martensitic transformations with elasto-plastic effects. Phil. Mag. 90 (11), 2010, 1495--1510 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- A variational approach to the Hamiltonian boundary value problem: existence and approximation. Oberwolfach Rep. 7 (1), 2010, 792--794 mehr… BibTeX
2009
- Asymptotics of resonances in a thermoelastic model with light local mass perturbations. Quart. Appl. Math. 67 (2), 2009, 311--326 mehr… BibTeX
- Generalized DPW method and an application to isometric immersions of space forms. Math. Z. 262 (1), 2009, 143--172 mehr… BibTeX Volltext ( DOI )
- Gradient flows in asymmetric metric spaces. Nonlinear Anal. 71 (11), 2009, 5820--5834 mehr… BibTeX Volltext ( DOI )
- Modeling transformation paths of multiphase materials: The triple point of zirconia. Phys. Rev. B 79 (10), 2009, 104114, 12 mehr… BibTeX Volltext ( DOI )
- Rotational hypersurfaces of periodic mean curvature. Differential Geom. Appl. 27 (6), 2009, 702--712 mehr… BibTeX Volltext ( DOI )
- Symmetric pseudospherical surfaces. I. General theory. Results Math. 56 (1-4), 2009, 3--21 mehr… BibTeX Volltext ( 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 mehr… BibTeX
- Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction. Discrete Contin. Dyn. Syst. 25 (3), 2009, 915--931 mehr… BibTeX Volltext ( DOI )
- Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction. Nonlinear Anal. 70 (9), 2009, 3146--3158 mehr… BibTeX Volltext ( DOI )
- A Curtis–Hedlund–Lyndon theorem for Besicovitch and Weyl spaces. Theoretical Computer Science 410 (38-40), 2009, 3606-3615 mehr… BibTeX Volltext ( DOI )
- Embeddings of dynamical systems into cellular automata. Ergodic Theory and Dynamical Systems 29 (1), 2009, 165-177 mehr… BibTeX Volltext ( DOI )
- Young measure flow as a model for damage. Z. Angew. Math. Phys. 60 (1), 2009, 1--32 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Calculation of long time classical trajectories: Algorithmic treatment and applications for molecular systems. J. Chem. Phys. 130 (12), 2009, 124106, 11 mehr… BibTeX Volltext ( DOI )
- Hybrid Modeling of Noise Reduction by a Negatively Autoregulated System. Bulletin of Mathematical Biology 71 (4), 2009, 1006-1024 mehr… BibTeX Volltext ( DOI )
2008
- Analysis and stochastics of growth processes and interface models. Oxford University Press, Oxford, 2008 mehr… BibTeX Volltext ( DOI )
- Real Fuchsian equations and constant mean curvature surfaces. Mat. Contemp. 35, 2008, 1--25 mehr… BibTeX
- Associated families of immersions versus curved flats. In: Contemporary geometry and topology and related topics. Cluj Univ. Press, Cluj-Napoca, 2008, 141--151 mehr… BibTeX
- Generalized Weierstraß representations of surfaces. In: Surveys on geometry and integrable systems. Math. Soc. Japan, Tokyo, 2008, 55--111 mehr… BibTeX Volltext ( DOI )
- On a theorem by Hsiang and Yu. Ann. Global Anal. Geom. 33 (3), 2008, 245--252 mehr… BibTeX Volltext ( DOI )
- Construction of constant mean curvature $n$-noids from holomorphic potentials. Math. Z. 258 (4), 2008, 773--803 mehr… BibTeX Volltext ( DOI )
- Efficiency sensing - was messen Autoinduktoren wirklich? BIOspektrum 1, 2008, 18-21 mehr… BibTeX
- Introduction, Workshop \emphInterplay of analysis and probability in physics. Oberwolfach Rep. 5 (4), 2008, 3065--3066 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Tolerance and threshold in the extrinsic coagulation system. Mathematical Biosciences 211 (2), 2008, 226-254 mehr… BibTeX Volltext ( DOI )
- Sensitivity of the quorum sensing system is achieved by low pass filtering. Biosystems 92 (1), 2008, 76-81 mehr… BibTeX Volltext ( DOI )
- Transcription, intercellular variability and correlated random walk. Mathematical Biosciences 216 (1), 2008, 30-39 mehr… BibTeX Volltext ( DOI )
- Strength through structure: visualization and local assessment of the trabecular bone structure. New J. Phys. 10, 2008 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Modeling Clonal Expansion from M-FISH Experiments. Journal of Computational Biology 15 (2), 2008, 221-230 mehr… BibTeX Volltext ( DOI )
- Travelling waves in atomistic chains and kinetic relations. Oberwolfach Rep. 5 (2), 2008, 1092--1094 mehr… BibTeX
2007
- Introduction, Miniworkshop \emphMultiscale and Variational Methods in Material Science and Quantum Theory of Solids. Oberwolfach Rep. 4 (1), 2007, 371--372 mehr… BibTeX
- An asymmetric Arzelà-Ascoli theorem. Topology Appl. 154 (11), 2007, 2312--2322 mehr… BibTeX
- Coarse classification of constant mean curvature cylinders. Trans. Amer. Math. Soc. 359 (6), 2007, 2483--2500 mehr… BibTeX Volltext ( DOI )
- Unitarization of loop group representations of fundamental groups. Nagoya Math. J. 187, 2007, 1--33 mehr… BibTeX Volltext ( DOI )
- Optimal harvesting and optimal vaccination. Mathematical Biosciences 206 (2), 2007, 249-272 mehr… BibTeX Volltext ( DOI )
- Does efficiency sensing unify diffusion and quorum sensing? Nature Reviews Microbiology 5 (3), 2007, 230-239 mehr… BibTeX
- On Landau theory and symmetric energy landscapes for phase transitions. J. Mech. Phys. Solids 55 (7), 2007, 1385--1409 mehr… BibTeX
- Non-Newtonian viscosity of complex-plasma fluids. Phys. Rev. Lett. 98 (14), 2007 mehr… BibTeX Volltext ( DOI )
- Estimating the Tracing Probability from Contact History at the Onset of an Epidemic. Mathematical Population Studies 14, 2007, 211-236 mehr… BibTeX Volltext ( DOI )
- Solitary waves for nonconvex FPU lattices. J. Nonlinear Sci. 17 (1), 2007, 1--12 mehr… BibTeX Volltext ( DOI )
- Modeling the Hes1 Oscillator. Journal of Computational Biology 14 (7), 2007, 984-1000 mehr… BibTeX Volltext ( DOI )
- Discrete dynamic models for phase transitions. Oberwolfach Rep. 4 (1), 2007, 391--392 mehr… BibTeX
- Evolutionary problems with energies with linear growth. Oberwolfach Rep. 4 (1), 2007, 655--657 mehr… BibTeX
- Travelling waves in atomic models for phase-transforming materials and kinetic relations. Oberwolfach Rep. 4 (2), 2007, 1642--1645 mehr… BibTeX
2006
- Construction of planar CMC 4-noids of genus $g=0$. JP J. Geom. Topol. 6 (3), 2006, 319--381 mehr… 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) mehr… BibTeX Volltext ( DOI )
- Cell-cell communication by quorum sensing and dimension-reduction. Journal of Mathematical Biology 53 (4), 2006, 672-702 mehr… BibTeX Volltext ( 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 mehr… 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 mehr… BibTeX
2005
- Weierstrass-type representation for harmonic maps into general symmetric spaces via loop groups. J. Math. Soc. Japan 57 (1), 2005, 69--94 mehr… BibTeX
- Dressing preserving the fundamental group. Differential Geom. Appl. 23 (2), 2005, 176--204 mehr… BibTeX Volltext ( DOI )
- Global existence for nonconvex thermoelasticity. Adv. Math. Sci. Appl. 15 (2), 2005, 559--569 mehr… 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 mehr… BibTeX
- Crystal symmetry and the reversibility of martensitic transformations. Nature 428 (6978), 2004, 55--59 mehr… BibTeX
- Modeling and simulation of martensitic phase transitions with a triple point. J. Mech. Phys. Solids 52 (9), 2004, 2057--2077 mehr… BibTeX Volltext ( DOI )
- Towards the efficient computation of effective properties of microstructured materials. C. R. Mecanique 332 (3), 2004, 169--174 mehr… BibTeX Volltext ( DOI )
- Influence of low power cm-/mm-microwaves on cardiovascular function. International Journal of Environmental Health Research 14 (5), 2004, 331-341 mehr… BibTeX
- Contact tracing and stochastic trees. Oberwolfach Reports, 2004 mehr… BibTeX
- Kompartementmodelle im PET. In: Beiträge zur biomedizinischen Bildgebung mit einem Seitenblick auf Molecular Imaging. GSF-Forschungszentrum, 2004, 209-256 mehr… BibTeX
- Dynamical problems with nonconvex energies as a model of damage in materials. Oberwolfach Rep. 1 (3), 2004, 1650--1652 mehr… BibTeX
- Stored energy functions for phase transitions in crystals. Arch. Ration. Mech. Anal. 172 (2), 2004, 191--212 mehr… BibTeX Volltext ( DOI )
- Global existence for a nonlinear system in thermoviscoelasticity with nonconvex energy. J. Math. Anal. Appl. 292 (2), 2004, 589--604 mehr… BibTeX Volltext ( DOI )
2003
- Pluriharmonic maps, loop groups and twistor theory. Ann. Global Anal. Geom. 24 (4), 2003, 301--321 mehr… BibTeX Volltext ( DOI )
- Construction of non-simply connected CMC surfaces via dressing. J. Math. Soc. Japan 55 (2), 2003, 335--364 mehr… BibTeX Volltext ( DOI )
- Einfluß von hohen GHz-Signalen auf das vegetative Nervensystem. Forschungsgemeinschaft Funk e. V. , 2003, mehr… BibTeX
- Isozyme Variability in Brazilian Populations of Araucaria angustifolia. Biociencias 11 (1), 2003, 3-8 mehr… BibTeX
- Family trees of continuous-time birth-and-death processes. Journal of Applied Probability 40 (4), 2003, 980-994 mehr… BibTeX Volltext ( DOI )
- Modeling the Cytokine Network In Vitro and In Vivo. Journal of Theoretical Medicine 5 (2), 2003, 93-110 mehr… BibTeX Volltext ( DOI )
- Periodic points and dynamic rays of exponential maps. Ann. Acad. Sci. Fenn. Math. 28 (2), 2003, 327--354 mehr… BibTeX
- Escaping points of exponential maps. J. London Math. Soc. (2) 67 (2), 2003, 380--400 mehr… BibTeX Volltext ( DOI )
- Onset of collisionless magnetic reconnection in thin current sheets: Three-dimensional particle simulations. Phys. Plasmas 10 (9), 2003, 3521-3527 mehr… BibTeX Volltext ( DOI )
- Concept of a Helias ignition experiment. Nucl. Fusion 43 (9), 2003, 889-898 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Finite type Lorentz harmonic maps and the method of Symes. Differential Geom. Appl. 17 (1), 2002, 43--53 mehr… BibTeX Volltext ( DOI )
2001
- Birkhoff decompositions and Iwasawa decompositions for loop groups. Tohoku Math. J. (2) 53 (4), 2001, 593--615 mehr… BibTeX Volltext ( DOI )
- The Helias reactor HSR4/18. Nucl. Fusion 41 (12), 2001, 1759-1766 mehr… BibTeX Volltext ( DOI )
- Stochastic diffusion of energetic ions in optimized stellarators. Phys. Plasmas 8 (6), 2001, 2731-2738 mehr… BibTeX Volltext ( DOI )
- Weierstraß -type representation of affine spheres. Abh. Math. Sem. Univ. Hamburg 71, 2001, 225--250 mehr… BibTeX Volltext ( DOI )
- Bifurcation analysis for a spatially extended random walk system in mathematical biology. Communications in Applied Analysis 5, 2001, 247-264 mehr… BibTeX
- Discrete cleavage motifs of constitutive and immunoproteasomes revealed by quantitative analysis of cleavage products. Journal of Experimental Medicine 194 (1), 2001, 1-12 mehr… BibTeX
2000
- A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups. In: , 2000, 7--37 mehr… 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 mehr… BibTeX
- Investigation and application of the dressing action on surfaces of constant mean curvature. Q. J. Math. 51 (1), 2000, 57--73 mehr… BibTeX Volltext ( 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 mehr… BibTeX
- Contact tracing in stochastic and deterministic epidemic models. Mathematical Biosciences 164 (1), 2000, 39-64 mehr… BibTeX Volltext ( DOI )
- The Mathematics of Infection. Habilitation theses, Tübingen, 2000 mehr… BibTeX
- Optimal vaccination patterns in age-structured populations: Endemic case. Mathematical and Computer Modelling 31 (4-5), 2000, 149-160 mehr… BibTeX Volltext ( DOI )
- Ring vaccination. Journal of Mathematical Biology 41 (2), 2000, 143-171 mehr… BibTeX Volltext ( DOI )
- Mathematische Modellierung und Analyse von Formgedächtnislegierungen in mehreren Raumdimensionen (Mathematical Modeling and Analysis of Shape Memory Alloys in Several Space Dimensions). Dissertation, 2000 mehr… BibTeX
1999
- Dynamical Systems of Population Dynamics. In: Ergodic Theory, Analysis and Efficient Simulation of Dynamical Systems. Springer, 1999, 311-332 mehr… BibTeX
- Scaling Methods and Approximative Equations for Homogeneous Reaction—Diffusion Systems and Applications to Epidemics. Journal of Nonlinear Science 9 (2), 1999, 149-168 mehr… BibTeX Volltext ( DOI )
- Optimal vaccination patterns in age-structured populations. SIAM Journal on Applied Mathematics 59 (1), 1999, 222-241 mehr… BibTeX
1998
- Systems of PDEs obtained from factorization in loop groups. Acta Appl. Math. 53 (1), 1998, 1--58 mehr… BibTeX Volltext ( DOI )
- On constant mean curvature surfaces with periodic metric. Pacific J. Math. 182 (2), 1998, 229--287 mehr… BibTeX Volltext ( DOI )
- Weierstrass type representation of harmonic maps into symmetric spaces. Comm. Anal. Geom. 6 (4), 1998, 633--668 mehr… BibTeX Volltext ( DOI )
- On symmetries of constant mean curvature surfaces. I. General theory. Tohoku Math. J. (2) 50 (3), 1998, 437--454 mehr… BibTeX Volltext ( DOI )
- Modulation equations and parabolic limits of reaction random-walk systems. Mathematical Methods in the Applied Sciences 21 (13), 1998, 1207-1226 mehr… BibTeX Volltext ( DOI )
1997
- Meromorphic potentials and smooth surfaces of constant mean curvature. Math. Z. 224 (4), 1997, 603--640 mehr… BibTeX Volltext ( DOI )
- Minimal surfaces via loop groups. In: , 1997, 25--40 mehr… BibTeX
- On the meromorphic potential for a harmonic surface in a $k$-symmetric space. Manuscripta Math. 92 (2), 1997, 143--152 mehr… BibTeX Volltext ( DOI )
- Optimal vaccination strategies — for whom? Mathematical Biosciences 139 (2), 1997, 133-154 mehr… BibTeX Volltext ( DOI )
- Über das Iterationsverhalten von postsingulär endlichen Exponentialabbildungen (On the Iteration of Postsingularly Finite Exponential Maps). , 1997 mehr… BibTeX
1996
- Symmetric cones. In: Topics in geometry. Birkhäuser Boston, Boston, MA, 1996, 101--121 mehr… BibTeX
- Weighted $l_1$-Grassmannians and Banach manifolds of solutions of the KP-equation and the KdV-equation. Math. Nachr. 180, 1996, 43--73 mehr… BibTeX Volltext ( DOI )
- Characteristics of charged particles retaining in quadruple magnetic configurations of heliotrone/torsatrone. Pisma Zhurnal Tek. Fiz. 22 (8), 1996, 25-30 mehr… BibTeX
1995
- PARTICLE CONFINEMENT PROPERTIES OF L-3 REACTOR SCALE HELIOTRON TORSATRON. Fusion Technol. 27 (S), 1995, 264-269 mehr… BibTeX Volltext ( 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 mehr… BibTeX
1994
1993
- Homogeneous Kähler and pseudo-Kähler manifolds. Proceedings of the International Workshop on Differential Geometry and its Applications (Bucharest, 1993), 1993 mehr… BibTeX
- Soliton equations and differential geometry. Proceedings of the International Workshop on Differential Geometry and its Applications (Bucharest, 1993), 1993 mehr… BibTeX
- Groups associated with a Grassmannian modelled on the Wiener algebra. Integral Equations Operator Theory 17 (4), 1993, 464--500 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Constant mean curvature surfaces and loop groups. J. Reine Angew. Math. 440, 1993, 43--76 mehr… 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 mehr… 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 mehr… 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 mehr… 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 mehr… BibTeX Volltext ( DOI )
- Classification of compact homogeneous pseudo-Kähler manifolds. Comment. Math. Helv. 67 (4), 1992, 499--513 mehr… BibTeX Volltext ( DOI )
- Pseudo-Kählerian homogeneous spaces admitting a reductive transitive group of automorphisms. Math. Z. 209 (1), 1992, 89--100 mehr… BibTeX Volltext ( DOI )
- Principal fiber bundle interpretation of the KP-hierarchy. Publ. Res. Inst. Math. Sci. 28 (4), 1992, 503--533 mehr… BibTeX Volltext ( DOI )
1991
- Automorphisms of the KdV-subvariety. Integral Equations Operator Theory 14 (2), 1991, 192--212 mehr… BibTeX Volltext ( 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 mehr… BibTeX
- Fine structure of reductive pseudo-Kählerian spaces. Geom. Dedicata 39 (3), 1991, 321--338 mehr… BibTeX Volltext ( DOI )
1990
- The biholomorphic curvature of quasisymmetric Siegel domains. J. Differential Geom. 31 (1), 1990, 73--99 mehr… BibTeX
- Special algebraic properties of Kähler algebras. Tsukuba J. Math. 14 (2), 1990, 315--326 mehr… BibTeX Volltext ( DOI )
- Isoparametric triple systems with special $\bf Z$-structure. Algebras Groups Geom. 7 (1), 1990, 21--94 mehr… 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 mehr… BibTeX Volltext ( DOI )
1989
- Automorphisms of Banach manifolds associated with the KP-equation. Quart. J. Math. Oxford Ser. (2) 40 (158), 1989, 161--195 mehr… BibTeX Volltext ( DOI )
- Proof of the radical conjecture for homogeneous Kähler manifolds. Nagoya Math. J. 114, 1989, 77--122 mehr… BibTeX Volltext ( DOI )
1988
- Flat totally geodesic submanifolds of quasisymmetric Siegel domains. Geom. Dedicata 28 (3), 1988, 321--336 mehr… BibTeX Volltext ( DOI )
- The fundamental conjecture for homogeneous Kähler manifolds. Acta Math. 161 (1-2), 1988, 23--70 mehr… BibTeX Volltext ( 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 mehr… BibTeX
- The fundamental conjecture for homogeneous Kähler manifolds. C. R. Acad. Sci. Paris Sér. I Math. 303 (8), 1986, 335--338 mehr… BibTeX Volltext ( DOI )
1985
- The isotropy representation for homogeneous Siegel domains. Pacific J. Math. 120 (2), 1985, 295--326 mehr… BibTeX
- Variétés homogènes kählériennes. C. R. Acad. Sci. Paris Sér. I Math. 301 (4), 1985, 97--98 mehr… BibTeX
- Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms. Ann. Sci. École Norm. Sup. (4) 18 (1), 1985, 143--180 mehr… BibTeX
- Simply transitive groups and Kähler structures on homogeneous Siegel domains. Trans. Amer. Math. Soc. 288 (1), 1985, 293--305 mehr… BibTeX Volltext ( DOI )
- Isoparametric hypersurfaces, case $g=6, m=1$. Comm. Algebra 13 (11), 1985, 2299--2368 mehr… BibTeX Volltext ( DOI )
1984
- Classification of certain pairs of operators $(P,\,Q)$ satisfying $[P,\,Q]=-i$ $m̊ Id$. J. Funct. Anal. 57 (3), 1984, 301--328 mehr… BibTeX Volltext ( DOI )
- Isoparametric triple systems of FKM-type. III. Algebras Groups Geom. 1 (3), 1984, 305--343 mehr… BibTeX
1983
- Isoparametric triple systems of FKM-type. I. Abh. Math. Sem. Univ. Hamburg 53, 1983, 191--216 mehr… BibTeX Volltext ( DOI )
- Umkehrbare und nilpotente Polynome. Abh. Math. Sem. Univ. Hamburg 53, 1983, 170--190 mehr… BibTeX Volltext ( DOI )
- Isoparametric triple systems of algebra type. Osaka J. Math. 20 (1), 1983, 145--175 mehr… BibTeX
- Isoparametric triple systems of FKM-type. II. Manuscripta Math. 43 (1), 1983, 13--44 mehr… BibTeX Volltext ( DOI )
- An algebraic approach to isoparametric hypersurfaces in spheres. I, II. Tohoku Math. J. (2) 35 (2), 1983, 187--224, 225--247 mehr… BibTeX Volltext ( DOI )
1980
- Quasiclans. Abh. Math. Sem. Univ. Hamburg 50, 1980, 178--187 mehr… BibTeX Volltext ( DOI )
- Quasisymmetric Siegel domains and the automorphisms of homogeneous Siegel domains. Amer. J. Math. 102 (3), 1980, 537--563 mehr… BibTeX Volltext ( DOI )
1979
- Peirce-Zerlegungen und Jordan-Strukturen zu homogenen Kegeln. Math. Z. 169 (2), 1979, 179--194 mehr… BibTeX Volltext ( DOI )
- Inductive construction of homogeneous cones. Trans. Amer. Math. Soc. 252, 1979, 321--349 mehr… BibTeX Volltext ( DOI )
- Algebraic description of homogeneous cones. Trans. Amer. Math. Soc. 255, 1979, 61--89 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Reguläre Kegel. Jahresber. Deutsch. Math.-Verein. 81 (3), 1978, 109--151 mehr… BibTeX
1977
- Relative Invarianten und nicht-assoziative Algebren. Math. Ann. 228 (2), 1977, 147--186 mehr… BibTeX Volltext ( DOI )
1975
- Zur Konstruktion homogener Kegel. Math. Ann. 216, 1975, 79--96 mehr… BibTeX Volltext ( DOI )