Research Interests
$\bullet$ Mathematical modelling in biology and medicine
$\bullet$ Analysis
$\bullet$ Non-linear partial differential equations
$\bullet$ Integro-differential equations
$\bullet$ Stochastic many particle systems
$\bullet$ Self-organization and pattern formation in interacting cellular systems
$\bullet$ Cell motion and chemotaxis
$\bullet$ The cellular cytoskeleton
$\bullet$ Developmental cell systems
$\bullet$ Neurobiology
Recent Publications of Prof. Dr. Angela Stevens
$\bullet $ Arnd Scheel and Angela Stevens. Reversible switching due to attraction and repulsion: Clusters, gaps, sorting, and mixing. SIAM Journal on Applied Dynamical Systems, 25(3):2022–2043, August 2026. doi:10.1137/25M177744X.
$\bullet $ Angela Stevens and Nicola Vassena. Mathematical modeling and analysis of the Notch-Delta pathway. arXiv e-prints, April 2026. arXiv:2604.05888.
$\bullet $ Arnd Scheel and Angela Stevens. Reversible switching due to attraction and repulsion: clusters, gaps, sorting, and mixing. arXiv e-prints, July 2025. arXiv:2507.10406.
$\bullet $ Ilka Budde, André Schlichting, David Ing, Sandra Schimmelpfennig, Anna Kuntze, Benedikt Fels, Joelle M.-J. Romac, Sandip M. Swain, Rodger A. Liddle, Angela Stevens, Albrecht Schwab, and Zoltán Pethő. Piezo1-induced durotaxis of pancreatic stellate cells depends on TRPC1 and TRPV4 channels. Journal of Cell Science, April 2025. doi:10.1242/jcs.263846.
$\bullet $ Stephan Luckhaus and Angela Stevens. A two level contagion process and its deterministic McKendrick limit with relevance for the Covid epidemic. Ensaios Matemáticos, April 2023. doi:10.21711/217504322023/em3813.
$\bullet $ Stephan Luckhaus and Angela Stevens. A free boundary problem-in time-for the spread of Covid-19. Journal of Mathematical Biology, 86(3):45, February 2023. doi:10.1007/s00285-023-01881-0.
$\bullet $ Stephan Luckhaus and Angela Stevens. Kermack and McKendrick Models on a Two-Scale Network and Connections to the Boltzmann Equations, pages 417–427. Lecture Notes in Mathematics. Springer International Publishing, January 2023. doi:10.1007/978-3-031-12244-6_29.
$\bullet $ Angela Stevens and Michael Winkler. Taxis-driven persistent localization in a degenerate Keller-Segel system. Commun. Part. Diff. Eq., 47(12):2341–2362, October 2022. doi:10.1080/03605302.2022.2122836.
$\bullet $ Arnd Scheel and Angela Stevens. Regeneration of tissue: Lessons learned from flatworms. SIAM News, October 2021. URL: https://www.siam.org/publications/siam-news/articles/regeneration-of-tissue-lessons-learned-from-flatworms/.
$\bullet $ Arnd Scheel, Angela Stevens, and Christoph Tenbrock. Signaling gradients in surface dynamics as basis for planarian regeneration. Journal of Mathematical Biology, June 2021. doi:10.1007/s00285-021-01627-w.
$\bullet $ Gunnar Kaib, Kyungkeun Kang, and Angela Stevens. Global minimizers for anisotropic attractive-repulsive interactions. Eur. J. Appl. Math., pages 1–17, October 2019. doi:10.1017/s0956792519000299.
$\bullet $ Kyungkeun Kang, Arnd Scheel, and Angela Stevens. Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Nonlinearity, 32(6):2128–2146, May 2019. doi:10.1088/1361-6544/ab046d.
$\bullet $ Arnd Scheel and Angela Stevens. Wavenumber selection in coupled transport equations. Journal of Mathematical Biology, 75(5):1047–1073, February 2017. doi:10.1007/s00285-017-1107-8.
$\bullet $ Kyungkeun Kang and Angela Stevens. Blowup and global solutions in a chemotaxis–growth system. Nonlinear Analysis: Theory, Methods & Applications, 135:57–72, April 2016. doi:10.1016/j.na.2016.01.017.