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Personal profile

Research interests

My research interests are in Analysis, Partial differential equations, and Applied mathematics (e.g. Modelling of biological systems and Numerics).

For the latter an important aspect of applied mathematical methods arises in the study of dynamical systems for biological or other life science problems. Here a model is seeked to describe best the data gathered in experiments.

I am interested in the parameter estimation process to help search and validate different model assumptions in gene regulatory networks as well as models for bacteria-phage infection.

For the former I am interested in applying mathematical methods from Analysis to Partial differential equations modelling problems in Biology and Materials Science. Often they share a common aspect in the form of propagation phenomena and/or a variational structure.

Propagation in many biological models is studied in the form of travelling wave solutions, where I study in particular kinetic transport equations and chemotaxis.

In the field of Variational problems in Materials Science I study the dynamics of elastic atomic chains, especially the Fermi-Pasta-Ulam atomic chain with nearest neighbour interaction.

Further variational problems arise in geometric analysis, where I am interested in curvature driven flows or stationary states.

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Projects

  • Research Output

    Effective Hamiltonian Dynamics via the Maupertuis Principle

    Schwetlick, H., Sutton, D. & Zimmer, J., 1 Apr 2020, In : Discrete and Continuous Dynamical Systems Series S. 13, 4, p. 1395-1410

    Research output: Contribution to journalArticle

    Open Access
    Open Access
    File
    7 Downloads (Pure)

    A systems biology approach uncovers the core gene regulatory network governing iridophore fate choice from the neural crest.

    Petratou, K., Subkhankulova, T., Lister, J., Rocco, A., Schwetlick, H. & Kelsh, R. N., 31 Oct 2018, In : Plos Genetics. 14, 10, 32 p., e1007402.

    Research output: Contribution to journalArticle

    Open Access
    5 Citations (Scopus)

    Travelling waves for a Frenkel-Kontorova chain

    Buffoni, B., Zimmer, J. & Schwetlick, H., 15 Aug 2017, In : Journal of Differential Equations. 263, 4, p. 2317-2342 26 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 2 Citations (Scopus)
    107 Downloads (Pure)

    On the Γ-limit for a non-uniformly bounded sequence of two-phase metric functionals

    Schwetlick, H., Sutton, D. C. & Zimmer, J., Jan 2015, In : Discrete and Continuous Dynamical Systems - Series A. 35, 1, p. 411-426 16 p.

    Research output: Contribution to journalArticle

    File
  • 93 Downloads (Pure)

    Thesis

    Entropic Gradient Flows on the Wasserstein Space via Large Deviations from Thermodynamic Limits

    Author: Laschos, V., 31 Dec 2013

    Supervisor: Zimmer, J. (Supervisor) & Schwetlick, H. (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File

    Gene regulatory network of melanocyte development

    Author: Lapedriza, A., 10 May 2016

    Supervisor: Kelsh, R. (Supervisor) & Schwetlick, H. (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File

    Investigating gene regulatory networks underlying zebrafish pigment cell development

    Author: Petratou, K., 27 Jun 2017

    Supervisor: Kelsh, R. (Supervisor) & Schwetlick, H. (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File

    Microscopic Hamiltonian Systems and their Effective Description

    Author: Sutton, D., 19 Jul 2013

    Supervisor: Zimmer, G. (Supervisor) & Schwetlick, H. (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File