Publications

You can also find my articles on my Google Scholar profile.

• Support Graph Preconditioners for Off-Lattice Cell-Based Models

  Steinman J, Buttenschön A arxiv (2024)

  Pre-print

• How cells stay together; a mechanism for maintenance of a robust cluster explored by local and nonlocal continuum models

  Buttenschön A, Sinclair S, Edelstein-Keshet L Bull. Math. Bio. (2024)

  Published Version Pre-print

• Cell Repolarization: A Bifurcation Study of Spatio-Temporal Perturbations of Polar Cells

  Buttenschön, A., Edelstein-Keshet, L. Bull. Math. Bio. (2022)

  Published Version

• Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D

  Buttenschön, A., and Hillen, T. (2021)

  Published Version

• Bridging from single to collective cell migration: A review of models and links to experiments

  Buttenschön A, Edelstein-Keshet L PLOS Computational Biology 16(12): e1008411 (2020)

  Published Version

• Adhesion-driven patterns in a calcium-dependent model of cancer cell movement

  Kaouri, K., Bitsouni, V., Buttenschön, A., & Thul, R. arXiv preprint arXiv:2003.00612. (2020)

  Pre-print

• Non-Local Cell Adhesion Models: Steady States and Bifurcations

  Buttenschön, A., and Hillen, T. arXiv preprint arXiv:2001.00286. (2020)

  Pre-print

• Cell size, mechanical tension, and GTPase signaling in the Single Cell

  Buttenschön, A., Liu Y., Edelstein-Keshet, L. Bull. Math. Bio. (2020)

  Published Version Pre-print

• Correlated random walks inside a cell: actin branching and microtubule dynamics

  Buttenschön, A. & Edelstein-Keshet, L. J. Math. Biol. (2019)

  Published Version

• Nonlocal Adhesion Models for Microorganisms on Bounded Domains

  Hillen T., Buttenschön, A. SIAM Journal on Applied Mathematics (2020)

  Published Version Pre-print

• Cops-on-the-Dots: The Linear Stability of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime

  Buttenschoen, A., Kolokolnikov, T., Ward, M.J. and Wei, J., 2019. Cops-on-the-dots: The linear stability of crime hotspots for a 1-D reaction-diffusion model of urban crime. European Journal of Applied Mathematics, pp.1-47.

  Published Version

• Integro-partial differential equation models for cell-cell adhesion and its application

  Buttenschoen, A. (2018). Integro-partial differential equation models for cell-cell adhesion and its application.

  Published Version

• Off-Lattice Agent-Based Models for Cell and Tumor Growth: Numerical Methods, Implementation, and Applications

  Van Liedekerke, P., Buttenschön, A. and Drasdo, D., 2018. Off-lattice agent-based models for cell and tumor growth: numerical methods, implementation, and applications. In Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes (pp. 245-267). Academic Press.

  Published Version

• Agent-Based Lattice Models of Multicellular Systems: Numerical Methods, Implementation, and Applications

  Drasdo, D., Buttenschön, A. and Van Liedekerke, P., 2018. Agent-based lattice models of multicellular systems: numerical methods, implementation, and applications. In Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes (pp. 223-238). Academic Press.

  Published Version

• A space-jump derivation for non-local models of cell-cell adhesion and non-local chemotaxis

  Buttenschön, A., Hillen, T., Gerisch, A., Painter, K.J. J. Math. Biol. (2018) 76: 429.

  Published Version Pre-print

• Barnacles vs bullies: modelling biocontrol of the invasive European green crab using a castrating barnacle parasite

  Bateman, A.W., Buttenschön, A., Erickson, K.D., Marculis, N.G. Theor Ecol (2017) 10: 305.

  Published Version