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
- 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
A Systems Biology Approach to Neural Crest Development
Biotechnology and Biological Sciences Research Council
17/03/14 → 16/06/17
Project: Research council
A Systems Biology Approach to Neural Crest Development
Biotechnology and Biological Sciences Research Council
17/03/14 → 16/06/17
Project: Research council
Higher Order Problems in Geometric Analysis
Engineering and Physical Sciences Research Council
27/01/12 → 26/07/12
Project: Research council
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. 1395-1410Research output: Contribution to journal › Article
Open Access
Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential
Buffoni, B., Schwetlick, H. & Zimmer, J., 1 Mar 2019, In : Journal de Mathématiques Pures et Appliquées. 123, p. 1-40 40 p.Research output: Contribution to journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
File
93
Downloads
(Pure)
Thesis
Entropic Gradient Flows on the Wasserstein Space via Large Deviations from Thermodynamic Limits
Author: Laschos, V., 31 Dec 2013Supervisor: Zimmer, J. (Supervisor) & Schwetlick, H. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File
Gene regulatory network of melanocyte development
Author: Lapedriza, A., 10 May 2016Supervisor: Kelsh, R. (Supervisor) & Schwetlick, H. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File
Investigating gene regulatory networks underlying zebrafish pigment cell development
Author: Petratou, K., 27 Jun 2017Supervisor: Kelsh, R. (Supervisor) & Schwetlick, H. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File
Microscopic Hamiltonian Systems and their Effective Description
Author: Sutton, D., 19 Jul 2013Supervisor: Zimmer, G. (Supervisor) & Schwetlick, H. (Supervisor)
Student thesis: Doctoral Thesis › PhD
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