1. Elliott, C.M., Ranner, T., Venkataraman, C. (2016) " Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics " SIAM J. Math. Anal., in press.

  2. Wei Yang, F., Venkataraman, C., Styles, V., Madzvamuse, A., (2016) "A robust and efficient adaptive multigrid solver for the optimal control of phase field formulations of geometric evolution laws " CiCP, in press.

  3. Burgess, A.E.F., Lorenzi, T., Schofield, P.G., Hubbard, S.F. Chaplain, M.A.J. (2016) "Examining the role of individual movement in promoting coexistence in a spatially explicit prisoner's dilemma" Math. Mod. Nat. Phen., in press.

  4. Eftimie, R., Macnamara, C.K., Dushoff, J., Bramson, J.L., Earn, D.J.D. (2016) "Bifurcations and chaotic dynamics in a tumour-immune-virus system" Math. Mod. Nat. Phen., 11(5), 135-155.

  5. Upadhyay, R., Roy, P., Venkataraman, C., Madzvamuse, A. (2016) "Wave of chaos in a spatial eco-epidemiological system: generating realistic patterns of patchiness in rabbit-lynx dynamics" Math. Biosci. 281, 98-119.

  6. Chaplain, M.A.J., Tello, J.I. (2016) "On the stability of homogeneous steady states of a chemotaxis system with logistic growth term" Appl. Math. Lett. 57, 1-6. doi: 10.1016/j.aml.2015.12.001

  7. Macnamara, C.K., Chaplain, M.A.J. (2016) "Diffusion driven oscillations in gene regulatory networks" J. Theor. Biol. 407, 51-70.

  8. Powathil, G., Munro, A.J., Chaplain, M.A.J., Swat, M. (2016) "Bystander effects and their implications for clinical radiation therapy: insights from multiscale in silico experiments" J. Theor. Biol. 401, 1-14.

  9. Macnamara, C.K., Chaplain, M.A.J. (2016) "Spatio-temporal models of synthetic genetic oscillators" Math. Biosci. Eng., in press.

  10. Boujelben, A., Watson, M., McDougall, S.R., Yen, Y-F, Gerstner, E.R., Catana, C., Deisboeck, T., Batchelor, T.T., Boas, D., Rosen, B., Kalpathy-Cramer, J., Chaplain, M.A.J. (2016) "Multimodality imaging and mathematical modelling of drug delivery to glioblastomas" Interface Focus 20160039, http://dx.doi.org/10.1098/rsfs.2016.0039

  11. Wei Yang, F., Venkataraman, C., Styles, V., Kuttenberger, V., Horn, E., von Guttenberg, Z., Madzvamuse, A., (2016) "A computational framework for particle and whole cell tracking applied to a real biological dataset" J. Biomech. 49, 1290-1304

  12. Bowness, R. (2016) "Systems medicine and infection" in Schmitz U. and Wolkenhauer O. (eds), "Systems Medicine. Methods in Molecular Biology" vol. 1386, Springer, 107-118

  13. Chisholm, R.H., Lorenzi, T., Lorz, A., (2016) "Effects of an advection term in nonlocal Lotka-Volterra equations" Commun. Math. Sci., 14, 1181-1188

  14. Chisholm, R.H., Lorenzi, T., Clairambault, J., (2016) "Tracking the evolution of cancer cell populations through the mathematical lens of phenotype-structured equations" Biol. Direct, 11.1:43

  15. Lorenzi, T., Lorz, A., Perthame, B., (2016) "On interfaces between cell populations with different mobilities" Kinet. Relat. Models, in press

  16. Chisholm, R.H., Lorenzi, T., Clairambault, J., (2016) "Cell population heterogeneity and evolution towards drug resistance in cancer: biological and mathematical assessment, theoretical treatment optimisation" Biochim. Biophys. Acta - General Subjects, 1860, 2627-2645

  17. Delitala, M., Lorenzi, T., (2016) "Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells" Math. Biosci. Eng., in press

  18. Chisholm, R.H., Lorenzi, T., Desvillettes, L., Hughes, B.D., (2016) "Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences" Z. angew. Math. Phys., 67, 1-34


  1. Madzvamuse, A., Chung, A.W., Venkataraman, C., (2015) "Stability analysis and simulations of coupled bulk-surface reaction-diffusion systems" Proc. Roy Soc. A, 471(2175)

  2. Sekimura T., Venkataraman, C., Madzvamuse, A., (2015) "A model for selection of eyespots on butterfly wings" PLoS ONE, 10(11):e0141434, 11

  3. Croft, W., Elliott, C. M., Ladds, G., Stinner, B., Venkataraman, C., Weston, C., (2015) "Parameter identification problems in the modelling of cell motility" J. Math. Biol. 71, 399-436

  4. Elliott, C. M., Venkataraman, C., (2015) "Error analysis for an ALE evolving surface finite element method" Num. Meth. PDE 31, 459-499

  5. Blazakis, K. N., Madzvamuse, A., Reyes-Aldasoro, C. C., Styles, V., Venkataraman, C., (2015) "Whole cell tracking through the optimal control of geometric evolution laws" J. Comp. Phys. 297, 495-514

  6. Macnamara, C.K., Eftimie, R. (2015) "Memory versus effector immune responses in oncolytic virotherapies " J. Theor. Biol. 377, 1-9

  7. Bowness, R., Boeree, M.J., Aarnoutse, R., Dawson, R., Diacon, A., Mangu, C., Heinrich, N., Ntinginya, N.E., Kohlenberg, A., Mtafya, B., Phillips, P.P.J., Rachow, A., Plemper van Balen, G., Gillespie, S.H., (2015) "The relationship between Mycobacterium tuberculosis MGIT time to positivity and cfu in sputum samples demonstrates changing bacterial phenotypes potentially reflecting the impact of chemotherapy on critical sub-populations" J. Antimicrob. Chemother. 70, 448-455

  8. Donald, I., Meyer, K., Gillespie, S.H., Bowness, R., Brengman, J., (2015) "Project Sanitarium: gaming TB - A serious game for a serious problem" IEEE, Seventh International Conference on Virtual Worlds and Games for Serious Applications: VS-Games 2015, University of Skövde, Sweden, 16-18 September

  9. Schlüeter, D.K., Ramis-Conde, I., Chaplain, M.A.J., (2015) "Multi-scale modelling of the dynamics of cell colonies: insights into cell adhesion forces and cancer invasion from in silico simulations" J. R. Soc. Interface 12: 20141080

  10. Sturrock, M., Murray, P.J., Matzavinos, A., Chaplain, M.A.J., (2015) "Mean field analysis of a spatial stochastic model of a gene regulatory network" J. Math. Biol. 71, 921-959

  11. Hill, L., Chaplain, M.A.J., Wolf, R., Kapelyukh, Y., (2015) "The usage of a three-compartment model to investigate the metabolic differences between hepatic reductase null and wild-type mice" Math. Med. Biol., doi:10.1093/imammb/dqv029

  12. Powathil, G.G., Swat, M, Chaplain, M.A.J., (2015) "Systems Oncology: Towards patient-specific treatment regimes informed by multiscale mathematical modelling" Sem. Cancer Biol. 30, 13-20

  13. Chaplain, M.A.J., Ptashnyk, M., Sturrock, M., (2015) "Hopf Bifurcation in a Gene Regulatory Network Model: Molecular Movement Causes Oscillations" Math. Mod. Meth. Appl. Sci. 25, 1179-1215

  14. Chaplain, M.A.J., Powathil, G.G., (2015) "Multiscale Modelling of Cancer Progression and Treatment Control: The Role of Intracellular Heterogeneities in Chemotherapy Treatment" Biophys. Rev. Lett., in press

  15. Kim, Y., Powathil, G.G., Kang, H., Trucu, D., Kim, H., Lawler, S., Chaplain, M.A.J., (2015) "Strategies of eradicating glioma cells: A multi-scale mathematical model with miR-451-AMPK-mTOR control" PLoS ONE 10(1): e0114370. doi:10.1371/journal.pone.0114370

  16. Lorenzi, T., Chisholm, R.H., Desvillettes, L., Hughes, B.D., (2015) "Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments", J. Theoret. Biol., 386, 166-76

  17. Lorenzi, T., Chisholm, R.H., Melensi, M., Lorz, A., Delitala, M., (2015) "Mathematical model reveals how regulating the three phases of T-cell response could counteract immune evasion", Immunology, 46, 271-280, 2015

  18. Chisholm, R.H., Lorenzi, T., Lorz, A., Larsen, A.K., Neves de Almeida, L., Escargueil, A., Clairambault, J., (2015) "Emergence of drug tolerance in cancer cell populations: an evolutionary outcome of selection, non-genetic instability and stress-induced adaptation", Cancer Res., 75, 930-939

  19. Torney, C.J., Lorenzi, T., Couzin, I.D., Levin, S.A., (2015) "Social information use and the evolution of unresponsiveness in collective systems", J. R. Soc. Interface, 12: 20140893