69. N. Loy, T. Hillen and K.J. Painter (2020+). Direction-Dependent Turning Leads to
Anisotropic Diffusion and Persistence. Submitted for publication.
68. S. Bernardi, G. Estrada-Rodriguez, H. Gimperlein and K.J. Painter (2020+). Macroscopic descriptions of follower-leader systems. Submitted for publication.
67. S. Bernardi, R. Eftimie and K.J. Painter (2020+). Leadership through influence: what mechanisms allow leaders to influence a swarm. Submitted for publication.
66. J.R. Potts and K.J. Painter (2020+). Stable steady-state solutions of some biological aggregation models. Submitted for publication.
65. T. Hillen, K.J. Painter, M. Stolarska, C. Xue (2020). Nonlocal and local models for taxis in cell migration: a rigorous
limit procedure. Journal of Mathematical Biology, 80, 275-281. https://doi.org/10.1007/s00285-020-01473-2.
62. A. Columbi, M. Scianna, K.J. Painter, L. Preziosi (2020). Modelling run and chase dynamics in neural crest/placode cell cultures. Journal of Mathematical Biology, 80, 423-456. Full text and supporting material at https://doi.org/10.1007/s00285-019-01421-9.
61. N. Bellomo, K.J. Painter, Y. Tao and M. Winkler (2019). Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. SIAM Journal on Applied Mathematics 79(5), 1990-2010. https://doi.org/10.1137/19M1250261
60. W. Ho, L. Freem, D. Zhao, K.J. Painter, T.E. Woolley, E.A. Gaffney, M.J. McGrew, A.Tzika, M. Milinkovitch, P. Schneider, A. Drusko, F. Matthäus, J.L. Glover; K.L. Wells, J.A. Johansson, M.G. Davey, H.M. Sang, M. Clinton, D.J. Headon (2019). Feather Arrays are Patterned by Interacting Signalling and Cell Density Waves. PLoS Biology. 17(2), e3000132. Full text and supporting material at https://doi.org/10.1371/journal.pbio.3000132.
54. K.J. Painter and T. Hillen (2018). From random walks to fully anisotropic diffusion models for cell and animal movement. In Stolarska M., Tarfulea N. (eds) Cell Movement. Modeling and Simulation in Science, Engineering and Technology, pp.103-141. Birkhäuser, Cham.https://doi.org/10.1007/978-3-319-96842-1_5. PDF to download.
48. J. D. Glover, K. L. Wells, F. Matthäus, K.J. Painter, W. Ho, J. Riddell, J. A. Johansson, M. J. Ford, C. A. B. Jahoda, V. Klika, R. L. Mort, D. J. Headon (2017). Hierarchical patterning modes orchestrate hair follicle morphogenesis. PloS Biology, 15, e2002117. http://doi.org/10.1371/journal.pbio.2002117.
44. R.L. Mort, R.J.H. Ross, K.J. Hainey, O.J. Harrison, M.A. Keighren, G. Landini, R.E. Baker, K.J. Painter, I.J. Jackson, C.A. Yates (2016). Reconciling diverse mammalian pigmentation patterns with a fundamental mathematical model. Nature Communications 7, 10288. http://doi.org/10.1038/ncomms10288.
35.
T. Hillen and K.J. Painter (2013). Transport and anisotropic diffusion models for movement in oriented habitats. In Dispersal, individual movement and spatial ecology. Eds. M.A. Lewis, P.K. Maini, S.V. Petrovskii. 177-222. Lecture Notes in Mathematics Volume 2071, pp 177-222. http://doi.org/10.1007/978-3-642-35497-7_7. PDF to download.
34.
K.J. Painter and T. Hillen (2013). Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion. Journal of Theoretical Biology 323, 25-39. http://doi.org/10.1016/j.jtbi.2013.01.014. PDF to download.
29.
C. Mou, F. Pitel, D. Gourichon, F. Vignoles, A. Tzika, P. Tato, L. Yu, D.W. Burt, B. Bed'hom, M. Tixier-Boichard, K.J. Painter, D.J. Headon (2011). Cryptic Patterning of Avian Skin Confers a Developmental Facility for Loss of Neck Feathering. PLoS Biology 9(3), e1001028. Full text and supporting material at http://doi.org/10.1371/journal.pbio.1001028. PDF to download.
27.
T. Saithong, K.J. Painter and A.J. Millar (2010). The contributions of interlocking loops and extensive nonlinearity to the properties of circadian clock models. PLoS ONE. 5 (11), e13867. Full text and supporting material at http://doi.org/10.1371/journal.pone.0013867. PDF to download.
26.
J. Bloomfield, J.A. Sherratt, K.J. Painter and G. Landini (2010). Cellular automata and integrodifferential equation models for cell proliferation in mosaic tissues. Journal of Royal Society Interface. 7, 1525-1535. http://doi.org/10.1098/rsif.2010.0071. PDF to download.
24.
A. Gerisch and K.J. Painter (2010). Mathematical modelling of cell adhesion and its applications to developmental biology and cancer invasion. In Cell Mechanics: From Single Scale-Based Models to Multiscale Modeling. Editors: A. Chauviere and L. Preziosi. Chapter 12, 319-350. Book webpage. PDF to download.
23.
H.G. Othmer, K. Painter , D. Umulis and C. Xue (2009). The intersection of theory and application in elucidating pattern formation in developmental biology. Mathematical Modelling of Natural Phenomena (MMNP). 4 (4), 3-83. http://doi.org/10.1051/mmnp/20094401. PDF to download.
20.
J.A. Sherratt, S.A. Gourley, N.J. Armstrong and K.J. Painter (2009). Boundedness of solutions of a nonlocal reaction-diffusion model for adhesion in cell aggregation and cancer invasion. European Journal of Applied Mathematics. 20, 123-144. http://doi.org/10.1017/S0956792508007742. PDF to download.
16.
R. Dillon, M. Owen and K.J. Painter (2008). A single-cell based model of multicellular growth using the immersed boundary method. In Moving Interface Problems and Applications in Fluid Dynamics. Editors: B. Cheong Khoo, Z. Li, P. Lin. Contemporary Mathematics, AMS. 1-16. PDF to download.
9.
K.J. Painter and T. Hillen (2002). Volume-filling and quorum-sensing in models for chemosensitive movement. Canadian Applied Mathematics Quarterly, 10, 501-544. PDF to download.
7.
S. Schnell, K.J. Painter , P.K. Maini and H.G. Othmer (2001). Spatiotemporal pattern formation in early development: a review of primitive streak formation and somitogenesis. In Mathematical Models for Biological Pattern Formation. Editors: P.K. Maini and H.G. Othmer. IMA Volumes in Mathematics and its Applications, 121, 11-38. Springer-Verlag, Berlin/Heidelberg. http://doi.org/10.1007/978-1-4613-0133-2_2. PDF to download.
6.
K.J. Painter (2001). Modelling of pigment patterns in fish. In Mathematical Models for Biological Pattern Formation. Editors: P.K. Maini and H.G. Othmer. IMA Volumes in Mathematics and its Applications, 121, 59-82. Springer-Verlag, Berlin/Heidelberg. http://doi.org/10.1007/978-1-4613-0133-2_4. PDF to download.
3.
K.J. Painter , H.G. Othmer and P.K. Maini (1999). Stripe formation in juvenile Pomacanthus via chemotactic response to a reaction-diffusion mechanism. Proceedings of National Academy Sciences USA, 96, 5549-5554. http://doi.org/10.1073/pnas.96.10.5549. PDF to download.
D. Phil Thesis
K.J. Painter (1997). Chemotaxis as a mechanism for Morphogenesis. D.Phil thesis, Brasenose College, University of Oxford. Abstract and PDF files for downloading.