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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

Acharya Amit - Visiting Professorship

Schwetlick, H.

1/09/1530/11/15

Project: UK charity

A Systems Biology Approach to Neural Crest Development

Schwetlick, H.

17/03/1416/06/17

Project: Research council

Systems Biology
Neural Crest
Noise
Stem Cells
Zebrafish
Systems Biology
Neural Crest
Noise
Stem Cells
Zebrafish

Higher Order Problems in Geometric Analysis

Moser, R. & Schwetlick, H.

27/01/1226/07/12

Project: Research council

Geometric Analysis
Higher Order
Partial differential equation
Physics
Geometer

Research Output 2001 2018

1 Citations (Scopus)

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 journalArticle

Open Access

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 journalArticle

Open Access

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 journalArticle

1 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

Research output: Contribution to journalArticle

Open Access
File
Traveling Wave
Dislocation Dynamics
Frenkel-Kontorova Model
Arc of a curve
Fixed point