Research
information
My research lies in
the
formulation of mathematical and computational models to
describe biological processes, particularly in
the areas of embryonic development, cellular biology and cancer
development. If you are interested in undertaking a PhD, please contact me
regarding current projects.
Recent publications:
- K.J. Painter
(2009). Modelling cell migration strategies in the
extracellular matrix. J. Math. Biol.;
58:511-543. Abstract
in PubMed.
- T.
Hillen and K.J.
Painter. (2009). A user's guide to PDE models for
chemotaxis. J. Math. Biol; 58:183-217. Recommended by Faculty of 1000
Biology. Abstract
in PubMed
- N.
Armstrong, K.J. Painter and J.A. Sherratt (2009).
Adding adhesion
to a chemical signalling model for somite formation. Bull. Math.
Biol.;71:1-24. Abstract
in PubMed
- K.J. Painter (2009).
Continuous models for cell
migration in tissues
and applications to cell sorting via differential chemotaxis. Bull.
Math. Biol. 71, 1117-1147. Abstract in PubMed
For
a full list
of my publications, including PDFs for download, please click here.
Current projects:
- Pattern formation
in embryonic
development: Pigmentation
markings, hair follicle and feather bud patterning,
somitogenesis and gastrulation, cellular sorting and pattern formation.
- Cell migration and
its role in disease and development: Modelling
of chemotaxis, cell-cell & cell-matrix adhesion, contact guidance.
Dynamics of tumour invasion and the role of the microenvironment (work
partially funded by NIH funded Centre
for a Virtual Tumour ).
- Intracellular dynamics and cellular
biology: Modelling of
Circadian cycles in Arabadopsis (work partially funded by BBSRC Centre for Systems Biology at
Edinburgh)
Please
follow
this link to some movies and other images for the various
projects described above. |