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2024
- Opinion Models, Election Data, and Political Theory. Entropy 26 (3), 2024, 212 more… BibTeX Full text ( DOI )
2023
- Social Response and Measles Dynamics. Stats 6 (4), 2023, 1280-1297 more… BibTeX Full text ( DOI )
- 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 )
2022
- 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 )
2021
- 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 )
2020
- Mathematical Population Genetics and Evolution of Bacterial Cooperation. WORLD SCIENTIFIC, 2020 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 )
- Evolutionary Stabilization of Cooperative Toxin Production through a Bacterium-Plasmid-Phage Interplay. mBio 11 (4), 2020 more… BibTeX Full text ( DOI )
2019
- Universality of neutral models: decision process in politics. Palgrave Communications 5 (1), 2019 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 )
2018
- 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 )
2017
- Cellular Automata: Analysis and Applications. Springer International Publishing, 2017 more… BibTeX Full text ( DOI )
- Fisher–Wright model with deterministic seed bank and selection. Theoretical Population Biology 114, 2017, 29-39 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 )
2016
- 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 )
2015
- 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 )
- 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 )
- 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 )
- 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
- 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 )
- 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 )
2013
- 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 )
- 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 )
2012
- 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 )
- Dynamics of AHL mediated quorum sensing under flow and non-flow conditions. Physical Biology 9 (2), 2012, 026007 more… BibTeX Full text ( DOI )
2011
- 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 )
2010
- 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
2009
- 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
- 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 )
- 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
- Efficiency sensing - was messen Autoinduktoren wirklich? BIOspektrum 1, 2008, 18-21 more… BibTeX
- 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 )
- Modeling Clonal Expansion from M-FISH Experiments. Journal of Computational Biology 15 (2), 2008, 221-230 more… BibTeX Full text ( DOI )
2007
- 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
- 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 )
- Modeling the Hes1 Oscillator. Journal of Computational Biology 14 (7), 2007, 984-1000 more… BibTeX Full text ( DOI )
2006
- Cell-cell communication by quorum sensing and dimension-reduction. Journal of Mathematical Biology 53 (4), 2006, 672-702 more… BibTeX Full text ( DOI )
2004
- 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
2003
- 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 )
2001
- 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
- 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 )
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
- 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
- Optimal vaccination strategies — for whom? Mathematical Biosciences 139 (2), 1997, 133-154 more… BibTeX Full text ( DOI )
1994
1993
- 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