Research Output per year

## Personal profile

### Research interests

I formulate, analyse and apply mathematical and computational models to describe biological processes. Particular applications of my work include understanding the basic mechanisms that allow cells to organise into tissues and organs, the key transitions that operate during pathological processes such as cancer growth and the cues that allow animals to navigate through complex environments

### Biography

I have been in the Department of Mathematics at Heriot-Watt University since 2000. Prior to joining Heriot-Watt, I undertook a degree in Applied Mathematics at the University of Warwick (1991-1994) before moving to the University of Oxford (1994-1998) to study for a Doctor of Philosophy. Following the completion of my Doctorate, I spent two years as a Research Associate in the United States, divided between the Universities of Utah and Minnesota, before moving to Heriot-Watt University in early 2000.

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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## Selected Research Output 1997 2019

## Mathematical modelling of glioma growth: The use of Diffusion Tensor Imaging (DTI) data to predict the anisotropic pathways of cancer invasion

Painter, K. & Hillen, T., 21 Apr 2013, In : Journal of Theoretical Biology. 323, p. 25-39 15 p.Research output: Contribution to journal › Article

## Spatio-temporal chaos in a chemotaxis model

Painter, K. J. & Hillen, T., 15 Feb 2011, In : Physica D: Nonlinear Phenomena. 240, 4-5, p. 363-375 13 p.Research output: Contribution to journal › Article

## A user's guide to PDE models for chemotaxis

Hillen, T. & Painter, K. J., 2009, In : Journal of Mathematical Biology. 58, 1-2, p. 183-217 35 p.Research output: Contribution to journal › Article

## Modelling cell migration strategies in the extracellular matrix

Painter, K. J., Apr 2009, In : Journal of Mathematical Biology. 58, 4-5, p. 511-543 33 p.Research output: Contribution to journal › Article

## A continuum approach to modelling cell-cell adhesion

Armstrong, N. J., Painter, K. J. & Sherratt, J. A., 7 Nov 2006, In : Journal of Theoretical Biology. 243, 1, p. 98-113 16 p.Research output: Contribution to journal › Article

## Global Existence for a Parabolic Chemotaxis Model with Prevention of Overcrowding

Hillen, T. & Painter, K., May 2001, In : Advances in Applied Mathematics. 26, 4, p. 280-301 22 p.Research output: Contribution to journal › Article

## Stripe formation in juvenile *Pomacanthus* explained by a generalized Turing mechanism with chemotaxis

Painter, K., Maini, P. K. & Othmer, H. G., 1999, In : Proceedings of the National Academy of Sciences. 96, 10, p. 5549-5554 6 p.Research output: Contribution to journal › Article