2019

  1. Almeida, L., Bagnerini, P., Fabrini, G., Hughes, B.D., Lorenzi, T. (2019) "Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: Insight from a phenotype-strutured model" ESAIM Math. Model. Numer. Anal., (to appear).

  2. Bowman, C., Chaplain, M.A.J., Matzavinos, A. (2019) "Dissipative particle dynamics simulation of critical pore size in a lipid bilayer membrane" Royal Soc. Open Sci., 6(3), 181657.

  3. Franssen, L.C., Lorenzi, T., Burgess, A., Chaplain, M.A.J. (2019) "A mathematical framework for modelling the metastatic spread of cancer" Bull. Math. Biol., (to appear). doi:10.1101/469536

  4. Hamis, S., Powathil, G.G., Chaplain, M.A.J. (2019) "Blackboard to bedside: A mathematical modeling bottom-up approach towards personalized cancer treatments " JCO Clin. Cancer Inform., 3, 1-11.

  5. Macnamara, C.K., MItchell, E.I., Chaplain, M.A.J. (2019) "Spatial-stochastic modelling of synthetic gene regulatory networks" J. Theor. Biol., 468, 27-44.
  6. 2018

  7. Bitsouni, V., Trucu, D., Chaplain, M.A.J., Eftimie, R. (2018) "Aggregation and travelling wave dynamics in a two-population model of cancer cell growth and invasion" Math. Med. Biol., 35(4), 541-577.

  8. Bowness, R., Chaplain, M.A.J., Powathil, G.G., Gillespie, S.H. (2018) "Modelling the effects of bacterial cell state and spatial location on tuberculosis treatment: Insights from a hybrid multiscale cellular automaton model" J. Theor. Biol., 446, 87-100.

  9. Brueningk, S., Powathil, G., Ziegenhein, P., Jannat, I., Rivens, Chaplain, M.A.J. , Oelfke, U., ter Haar, G. (2018) "Combining radiation with hyperthermia: A multiscale model informed by in vitro experiments" J.R. Soc. Interface, 15, 20170681.

  10. Franssen, L.C. (2018) "Using mathematics to outsmart cancer" Math. Today, 54(4), 135-137.

  11. Hodgkinson, A., Chaplain, M. A. J., Domschke, P., Trucu, D. (2018) "Computational approaches and analysis for a spatio-structural-temporal invasive carcinoma model" Bull. Math. Biol., 80(4), 701-737.

  12. Kim, Y., Kang, H., Powathil, G.G., Kim, H., Trucu, D., Lee, W., Lawler, S., Chaplain, M. A. J. (2018) "Role of extracellular matrix and microenvironement in regulation of tumor growth and LAR-mediated invasion in glioblastoma" PLoS one, 13(10), e0204865.

  13. Lorenzi, T., Venkataraman, C., Lorz, A., Chaplain, M.A.J. (2018) "The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity" J. Theor. Biol., 451, 101-110.

  14. Macfarlane, F.R., Lorenzi, T., Chaplain, M.A.J. (2018) "Modelling the immune response to cancer: An individual-based approach accounting for the difference in movement between inactive and activated T cells" Bull. Math. Biol., 80, 1539-1562.

  15. Murphy, L., Venkataraman, C., Madzvamuse, A. (2018) "Parameter identification through mode isolation for reaction-diffusion systems on arbitrary geometries" Int J Biomath, 11(4), 1850053.

  16. Pitcher, M.J., Bowness, R., Dobson, S.A., Gillespie, S.H. (2018) "A spatially heterogeneous network-based metapopulation software model applied to the simulation of a pulmonary tuberculosis infection" Applied Network Science, 3, 33.

  17. Szymanska, Z., Cytowski, M., Mitchell, E., Macnamara, C. K., Chaplain, M. A. J. (2018) "Computational modelling of cancer development and growth: Modelling at multiple scales and multiscale modelling" Bull. Math. Biol. 80(5),1366-1403.
  18. 2017

  19. Bitsouni, V., Chaplain, M.A.J., Eftimie, R. (2017) "Mathematical modelling of cancer invasion: The multiple roles of TGF-beta pathway on tumour proliferation and adhesion" Math. Mod. Meth. Appl. Sci., 27,1929-1962.

  20. Burgess, A.E.F., Lorenzi, T., Schofield, P.G., Hubbard, S.F., Chaplain, M.A.J. (2017) "Examining the role of individual movement in promoting coexistence in a spatially explicit prisoner's dilemma", J. Theor. Biol., 419, 323-332.

  21. Delitala, M., Lorenzi, T. (2017) "Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells", Math. Biosci. Engin., 14, 79-93.

  22. Domschke, P., Trucu, D., Gerisch, A., Chaplain, M.A.J. (2017) "Structured models of cell migration incorporating molecular binding processes" J. Math. Biol., 75, 1517-1561

  23. Donald, I., Meyer, K., Brengman, J., Gillespie, SH., Bowness, R. (2017) "Project Sanitarium: Playing tuberculosis to its end game" Journal of Computing in Higher Education, 29(3), 599-617.

  24. Elliott, C. M., Ranner, T., Venkataraman, C. (2017) "Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics" SIAM J. Math. Anal., 49(1), 360-397.

  25. Frittelli, M., Madzvamuse, A., Sgura, I., Venkataraman, C. (2017) "Lumped finite elements for reaction–cross-diffusion systems on stationary surfaces" Comput. Math. Appl., 74(12), 3008-3023.

  26. Hill, L., Chaplain, M.A.J., Wolf, R., Kapelyukh, Y. (2017) "The usage of a three-compartment model to investigate the metabolic differences between hepatic reductase null and wild-type mice" Math. Med. Biol., 34, 1-13.

  27. Lorenzi, T., Lorz, A., Perthame, B. (2017) "On interfaces between cell populations with different mobilities" Kinet. Relat. Models, 10, 299-311.

  28. Macnamara, C.K., Chaplain, M.A.J. (2017) "Spatio-temporal models of synthetic genetic oscillators" Math. Biosci. Eng., 14(1),249-262.

  29. Peng, L., Trucu, D., Lin, P., Thompson, A., Chaplain, M.A.J. (2017) "A multiscale mathematical model of tumour invasive growth" Bull. Math. Biol., 79, 389-429.

  30. Sekimura, T., Venkataraman, C. (2017) "Spatial variation in boundary condition can govern selection and location of eyespots in butterfly wings" In Diversity and Evolution of Butterfly Wing Patterns (pp. 107-118), Springer, Singapore.

  31. Yang, F. W., Venkataraman, C., Styles, V., Madzvamuse, A. (2017) "A robust and efficient adaptive multigrid solver for the optimal control of phase field formulations of geometric evolution laws" Commun. Comput. Phys., 21(1), 65-92.
  32. 2016

  33. 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

  34. 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

  35. Burgess, A.E.F., Schofield, P.G., Hubbard, S.F., Chaplain, M.A.J., Lorenzi, T., (2016) "Dynamical patterns of coexisting strategies in a hybrid discrete-continuum spatial evolutionary game model" Math. Mod. Nat. Phen., 11, 49-64.

  36. 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

  37. 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

  38. 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

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

  40. 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., 14(1), 79-93.

  41. 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.

  42. 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., 49 (1), 360-397.

  43. Lorenzi, T., Chisholm, R.H., Clairambault, J., (2016) "Tracking the evolution of cancer cell populations through the mathematical lens of phenotype-structured equations" Biol. Direct, 11(1),43

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

  45. 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.

  46. 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.

  47. 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

  48. 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, 21(1), 65-92.

  49. 2015

  50. 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

  51. 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

  52. 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

  53. 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., 10(2), 97-114.

  54. 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

  55. 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

  56. 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

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

  58. 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., 34(1), 1-13

  59. 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

  60. 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. Theor. Biol., 386, 166-76

  61. 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.

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

  63. 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)

  64. 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

  65. 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

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

  67. 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

  68. 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