Projects per year

## 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 2012 2017

- 5 Finished

### Global Research Scholarships Scheme - Reaction diffusion systems, travelling wave solutions and mathematical biology (Juan Francisco Leyva Bonilla)

1/05/15 → 30/05/15

Project: Research-related funding › International Relations Office Funding

## Research Output 2001 2018

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

Petratou, K., Subkhankulova, T., Lister, J. A., Rocco, A., Schwetlick, H. & Kelsh, R. N., 4 Oct 2018, In : Plos Genetics. 14, 10, e1007402.Research output: Contribution to journal › Article

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

Petratou, K., Subkhankulova, T., Lister, J., Schwetlick, H. & Kelsh, R. N., 4 Oct 2018, In : Plos Genetics. 14, 10, 32 p., e1007402.Research output: Contribution to journal › Article

### Effective Hamiltonian Dynamics via the Maupertuis Principle

Schwetlick, H., Sutton, D. & Zimmer, J., 31 Jul 2018, (Accepted/In press) In : Discrete and Continuous Dynamical Systems Series S.Research output: Contribution to journal › Article

### Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential

Buffoni, B., Schwetlick, H. & Zimmer, J., 17 Jul 2018, (Accepted/In press) In : Journal de Mathématiques Pures et Appliquées.Research output: Contribution to journal › Article

### Travelling waves for a Frenkel-Kontorova chain

Buffoni, B., Zimmer, J. & Schwetlick, H., 15 Aug 2017, In : Journal of Differential Equations. 263, 4, p. 2317-2342Research output: Contribution to journal › Article