sample of publications
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articles
- The Statistical Theory of the Angiogenesis Equations. JOURNAL OF NONLINEAR SCIENCE. 34. 2024
- Data-driven analysis of oscillations in Hall thruster simulations. PLASMA SOURCES SCIENCE & TECHNOLOGY. 31:1-19. 2022
- A mathematical model of thyroid disease response to radiotherapy. Mathematics. 9:1-19. 2021
- Uncovering spatio-temporal patterns in semiconductor superlattices by efficient data processing tools. Physical review E: covering statistical, nonlinear, biological, and soft matter physics. 104:035303-1-035303-19. 2021
- Adaptive sampling and modal expansions in pattern-forming systems. ADVANCES IN COMPUTATIONAL MATHEMATICS. 47:1-31. 2021
- Integrodifference master equation describing actively growing blood vessels in angiogenesis. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION. 21:705-713. 2020
- Two dimensional soliton in tumor induced angiogenesis. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT. 2020
- A convergent numerical scheme for integrodifferential kinetic models of angiogenesis. JOURNAL OF COMPUTATIONAL PHYSICS. 375:1270-1294. 2018
- Ensemble averages, soliton dynamics and influence of haptotaxis in a model of tumor-induced angiogenesis. Entropy. 19. 2017
- LUPOD: Collocation in POD via LU decomposition. JOURNAL OF COMPUTATIONAL PHYSICS. 335:1-20. 2017
- On the mathematical modelling of tumor-induced angiogenesis. Mathematical Biosciences and Engineering. 14:45-66. 2017
- Solitonlike attractor for blood vessel tip density in angiogenesis. Physical review E: covering statistical, nonlinear, biological, and soft matter physics. 94. 2016
- Soliton driven angiogenesis. Scientific Reports. 6:1-7. 2016
- Stochastic model of tumor-induced angiogenesis: Ensemble averages and deterministic equations. Physical review E: covering statistical, nonlinear, biological, and soft matter physics. 93. 2016
- Adaptive POD-based low-dimensional modeling supported by residual estimates. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 104:844-868. 2015
- Efficient computation of bifurcation diagrams via adaptive ROMs. FLUID DYNAMICS RESEARCH. 46. 2014
- Construction of Bifurcation Diagrams Using POD on the Fly. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. 13:339-365. 2014
- On the use of POD-based ROMs to analyze bifurcations in some dissipative systems. PHYSICA D-NONLINEAR PHENOMENA. 24:1393-1405. 2012
- Reduced order modeling of some fluid flows of industrial interest. FLUID DYNAMICS RESEARCH. 44:1-11. 2012
- Local POD plus Galerkin projection in the unsteady lid-driven cavity problem. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 33:3538-3561. 2011
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book chapters
- Efficient parameter-dependent simulation of infections in a population model. In: Mathematical modelling in real life problems: case studies from ECMI-modelling weeks. SPRINGER NATURE LIMITED. 133-146. 2020
- Fully Online ROMs and Collocation Based on LUPOD. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22-25, 2018: MORCOS 2018. SPRINGER. 81-93. 2019
- Stochastic Models of Blood Vessel Growth. In: Stochastic Dynamics Out of Equilibrium: IHPStochDyn 2017. SPRINGER. 413-436. 2019
- Stochastic Models of Tumor Induced Angiogenesis. In: Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications. Springer International Publishing. 97-116. 2018
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conference contributions
- Data-driven analysis of breathing mode and ion-transit mode in 2D hybrid Hall thruster simulations. 3398-3403. 2021
- Stochastic modeling of blood vessel growth 2019
- Modeling the growth of blood vessels. 420-421. 2018
- Stochastic Models of Tumor Induced Angiogenesis. 97-116. 2018
- Stochastic description of angiogenesis 2018
- Stochastic modeling and analysis of tumor-induced blood vessel formation 2018
- Ensemble-averaged and deterministic descriptions of tumor-driven angiogenesis 2016
- Tumor induced angiogenesis 2016
- Efficient low dimensional modelling based on POD and residual estimates 2015
- Simulation of complex dynamics using POD 'on the fly' and residual estimates. 1060-1069. 2015
- Simulation of complex dynamics using POD on the fly and residual estimates. 1060-1069. 2015
- Tumor induced angiogenesis. 649-652. 2015
- Benefits of ECMI education in mathematical modeling: a personal reflection 2014
- Computing Bifurcations of Dissipative Systems via POD-Based ROMs 2012
- Eficient Simulation of Nonlinear Unsteady Problems 2012
- Adaptive POD-Based Reduced Order Models for Unsteady Problems 2011
- An Adaptive Reduced Order Model Based on Local POD Plus Galerkin Projection for Nonsteady Problems 2011
- Mixing snapshots and fast time integration of PDEs. 1-12. 2011
- Reduced Order Models for PDEs Based on Local POD Plus Galerkin Projection 2011