sample of publications

• 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 and 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.  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.  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.  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 of Scientific Computing.  33:3538-3561. 2011

• 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

• 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