E-mail address
lmk54 [at] bath.ac.uk
Postal address
Dr Lisa Maria Kreusser
Department of Mathematical Sciences
University of Bath
Bath
BA2 7AY
United Kingdom
Preprints
- Analysis of nonlinear poroviscoelastic flows with discontinuous porosities, with M. Bachmayr and S. Boisserée, submitted for publication, March 2023. [arXiv]
- Data-driven digital health technologies in the clinical care of diabetic foot ulcers: a scoping review, with J. Lazarus, I. Cioroianu, B. Ehrhardt, D. Gurevich, B. Metcalfe, P. Nishtala, E. Preatoni and T. Sharp, submitted for publication, March 2023.
- Models for information propagation on graphs, with O. R. A. Dunbar and C. M. Elliott, submitted for publication, December 2022. [arXiv]
- Wasserstein GANs Work Because They Fail (to Approximate the Wasserstein Distance), with J. Stanczuk, C. Etmann and C.-B. Schönlieb, submitted for publication, December 2022. [arXiv]
- Risk attitude in first-price security-bid auctions, with E. Bajoori, R. Peeters and L. Wolk, submitted for publication, December 2022.
- Generalised Gillespie Algorithms for Simulations in a Rule-Based Epidemiological Model Framework, with D. Alonso, S. Bauer, M. Kirkilionis and L. Sbano, submitted for publication, October 2022. [arXiv]
- On anisotropic diffusion equations for label propagation, with M.-T. Wolfram, submitted for publication, June 2022. [arXiv]
- Gamma-Convergence of an Ambrosio-Tortorelli approximation scheme for image segmentation, with I. Fonseca, C.-B. Schönlieb and M. Thorpe, submitted for publication, February 2022. [arXiv]
- A rule-based epidemiological framework for modelling and simulation in the context of the covid-19 pandemic, with D. Alonso, S. Bauer, M. Kirkilionis and L. Sbano, submitted for publication, November 2021. [arXiv]
Journal articles
- A Deterministic Gradient-Based Approach to Avoid Saddle Points,
with S. J. Osher and B. Wang,
European Journal of Applied Mathematics, to appear, 2023. [arXiv] - Autophosphorylation and the dynamics of the activation of Lck,
with A. D. Rendall,
Bulletin of Mathematical Biology, 83 (64), 2021. [arXiv] [journal] - Mean-field optimal control for biological pattern formation,
with M. Burger and C. Totzeck,
ESAIM: Control, Optimisation and Calculus of Variations, 27 (40), 1-24, 2021. [arXiv] [journal] [code] - Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics,
with J. A. Carrillo, B. Düring and C.-B. Schönlieb,
Discrete and Continuous Dynamical Systems - A, 41(8), 3985-4012, 2021. [arXiv] [journal] - Detection of high codimensional bifurcations in variational PDEs,
with R. I. McLachlan and C. Offen,
Nonlinearity, 33(5), 2335-2363, 2020. [arXiv] [journal] - Auxin transport model for leaf venation,
with J. Haskovec, H. Jönsson and P. Markowich,
Proceedings of the Royal Society A, 475(2231), 20190015, 2019. [arXiv] [code] [journal] - Stability analysis of line patterns of an anisotropic interaction model,
with J. A. Carrillo, B. Düring and C.-B. Schönlieb,
SIAM Journal on Applied Dynamical Systems, 18(4), 1798-1845, 2019. [arXiv] [journal] - Rigorous Continuum Limit for the Discrete Network Formation Problem,
with J. Haskovec and P. Markowich,
Communications in Partial Differential Equations, 44(11), 1159-1185, 2019. [arXiv] [journal] - ODE- and PDE-based modeling of biological transportation networks,
with J. Haskovec and P. Markowich,
Communications in Mathematical Sciences, 17(5), 1235-1256, 2019. [arXiv] [journal] - An Anisotropic Interaction Model for Simulating Fingerprints,
with B. Düring, C. Gottschlich, S. Huckemann and C.-B. Schönlieb,
Journal of Mathematical Biology, 78(7), 2171-2206, 2019. [arXiv] [code] [journal] - Pattern Formation of a Nonlocal, Anisotropic Interaction Model,
with M. Burger, B. Düring, P. A. Markowich and C.-B. Schönlieb,
Mathematical Models and Methods in Applied Sciences, 28(3), 409-451, 2018. [arXiv] [code] [journal] - Application of Quantitative Inline NMR Spectroscopy for Investigation of a Fixed-Bed Chromatographic Reactor Process,
with A. Brächer, S. Qamar, A. Seidel-Morgenstern and E. von Harbou,
Chemical Engineering Journal, 336, 518-530, 2018. [journal] - Trend to equilibrium for a delay Vlasov-Fokker-Planck equation and explicit decay estimates,
with A. Klar and O. Tse,
SIAM Journal on Mathematical Analysis, 49(4), 3277-3298, 2017. [arXiv] [journal]
Other publications
- COVID19 Safety in Large Events, Report of the Virtual Forum for Knowledge Exchange in Mathematical Sciences V-KEMS, 2021.
- Thesis summary: `Anisotropic nonlinear PDE models and dynamical systems in biology’, European Communications in Mathematical and Theoretical Biology, 2020.
- Anisotropic nonlinear PDE models and dynamical systems in biology, PhD Thesis, University of Cambridge, 2019.
- Analysis of Anisotropic Interaction Equations for Fingerprint Simulations, Proceedings in Applied Mathematics and Mechanics - 89th GAMM Annual Meeting, 2018.
- (with P. A. Markowich) Discrete and continuum modeling of biological network formation, SIAM Workshop on Network Science (NS17), 2017.
- (with S. Schmidt and S. Zhang) POD-DEIM based model order reduction for a three-dimensional microscopic Li-Ion battery model, Scientific Reports of the Fraunhofer ITWM, 229, 2013.