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Mathematics

  1. The re-polarisation of M2 and M1 macrophages and its role on cancer outcomes

    den Breems, N. & Eftimie, R. 7 Feb 2016 In : Journal of Theoretical Biology. 390, p. 23-39 17 p.

    Research output: Contribution to journalArticle

  2. Global Hopf bifurcation in the ZIP regulatory system

    Claus, J., Ptashnyk, M., Bohmann, A. & Chavarría-Krauser, A. Oct 2015 In : Journal of Mathematical Biology. 71, 4, p. 795-816 22 p.

    Research output: Contribution to journalArticle

  3. Mean field analysis of a spatial stochastic model of a gene regulatory network

    Sturrock, M., Murray, P. J., Matzavinos, A. & Chaplain, M. A. J. Oct 2015 In : Journal of Mathematical Biology. 71, 4, p. 921-959 39 p.

    Research output: Contribution to journalArticle

  4. Symmetries and pattern formation in hyperbolic versus parabolic models of self-organised aggregation

    Buono, P-L. & Eftimie, R. Oct 2015 In : Journal of Mathematical Biology. 71, 4, p. 847-881 35 p.

    Research output: Contribution to journalArticle

  5. Non-local kinetic and macroscopic models for self-organised animal aggregations

    Carrillo, J. A., Eftimie, R. & Hoffmann, F. Sep 2015 In : Kinetic and Related Models. 8, 3, p. 413-441 29 p.

    Research output: Contribution to journalArticle

  6. Memory versus effector immune responses in oncolytic virotherapies

    Macnamara, C. & Eftimie, R. 21 Jul 2015 In : Journal of Theoretical Biology. 377, p. 1-9 9 p.

    Research output: Contribution to journalArticle

  7. Hopf bifurcation in a gene regulatory network model: Molecular movement causes oscillations

    Chaplain, M., Ptashnyk, M. & Sturrock, M. 15 Jun 2015 In : Mathematical Models and Methods in Applied Sciences. 25, 6, p. 1179-1215 37 p.

    Research output: Contribution to journalArticle

  8. From coronal observations to MHD simulations, the building blocks for 3D models of solar flares (Invited Review)

    Janvier, M., Aulanier, G. & Démoulin, P. 10 Jun 2015 In : Solar Physics. 710

    Research output: Contribution to journalArticle

  9. Multiscale modelling of cancer progression and treatment control: the role of intracellular heterogeneities in chemotherapy treatment

    Chaplain, M. A. J. & Powathil, G. G. Jun 2015 In : Biophysical Reviews and Letters. 10, 2, p. 97-114 18 p.

    Research output: Contribution to journalArticle

  10. Physical role of topological constraints in localized magnetic relaxation

    Yeates, A. R., Russell, A. J. B. & Hornig, G. Jun 2015 In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471, 2178, 12 p., 20150012

    Research output: Contribution to journalArticle

  11. Strong coronal channelling and interplanetary evolution of a solar storm up to Earth and Mars

    Mostl, C., Rollett, T., Frahm, R. A., Liu, Y. D., Long, D. M., Colaninno, R. C., Reiss, M. A., Temmer, M., Farrugia, C. J., Posner, A., Dumbovica, M., Janvier, M., Demoulin, P., Boakes, P., Devos, A., Kraaikamp, E., Mays, M. L. & Vršnak, B. 26 May 2015 In : Nature Communications. 6, 10 p., 7135

    Research output: Contribution to journalArticle

  12. The effect of reconnection on the structure of the Sun's open-closed-flux boundary

    Pontin, D. I. & Wyper, P. F. 20 May 2015 In : Astrophysical Journal. 805, 1, 13 p., 39

    Research output: Contribution to journalArticle

  13. The structure of current layers and degree of field line braiding in coronal loops

    Pontin, D. I. & Hornig, G. 20 May 2015 In : Astrophysical Journal. 805, 1, 12 p., 47

    Research output: Contribution to journalArticle

  14. Comparing generic models for interplanetary shocks and magnetic clouds axis configurations at 1 AU

    Janvier, M., Dasso, S., Démoulin, P., Masías-Meza, J. J. & Lugaz, N. May 2015 In : Journal of Geophysical Research: Space Physics. 120, 5, p. 3328-3349 22 p.

    Research output: Contribution to journalArticle

  15. Organ-level quorum sensing directs regeneration in hair stem cell populations

    Chen, C-C., Wang, L., Plikus, M. V., Jiang, T. X., Murray, P. J., Ramos, R., Guerrero-Juarez, C. F., Hughes, M. W., Lee, O. K., Shi, S., Widelitz, R. B., Lander, A. D. & Chuong, C. M. 9 Apr 2015 In : Cell. 161, 2, p. 277-290 14 p.

    Research output: Contribution to journalArticle

  16. Modelling cell movement, cell differentiation, cell sorting and proportion regulation in Dictyostelium discoideum aggregations

    Pineda, M., Weijer, C. J. & Eftimie, R. 7 Apr 2015 In : Journal of Theoretical Biology. 370, p. 135-150 16 p.

    Research output: Contribution to journalArticle

  17. A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects

    Guo, Z. & Lin, P. Mar 2015 In : Journal of Fluid Mechanics. 766, p. 226-271

    Research output: Contribution to journalArticle

  18. Evolution of field line helicity during magnetic reconnection

    Russell, A. J. B., Yeates, A. R., Hornig, G. & Wilmot-Smith, A. L. Mar 2015 In : Physics of Plasmas. 22, 3, 10 p., 032106

    Research output: Contribution to journalArticle

  19. Magnetospheric signatures of ionospheric density cavities observed by cluster

    Russell, A. J. B., Karlsson, T. & Wright, A. N. Mar 2015 In : Journal of Geophysical Research: Space Physics. 120, 3, p. 1876-1887

    Research output: Contribution to journalArticle

  20. Mass media and heterogeneous bounds of confidence in continuous opinion dynamics

    Pineda, M. & Buendía, G. M. 15 Feb 2015 In : Physica A: Statistical Mechanics and its Applications. 420, p. 73-84 12 p.

    Research output: Contribution to journalArticle

  21. Particle acceleration in plasmoid ejections derived from radio drifting pulsating structures

    Nishizuka, N., Karlický, M., Janvier, M. & Bárta, M. 1 Feb 2015 In : Astrophysical Journal. 799, 2, 16 p., 126

    Research output: Contribution to journalArticle

  22. Multi-scale modelling of the dynamics of cell colonies: insights into cell-adhesion forces and cancer invasion from in silico simulations

    Schluter, D. K., Ramis-Conde, I. & Chaplain, M. A. J. Feb 2015 In : Journal of the Royal Society Interface. 12, 103, 13 p., 20141080

    Research output: Contribution to journalArticle

  23. Systems oncology: towards patient-specific treatment regimes informed by multiscale mathematical modelling

    Powathil, G. G., Swat, M. & Chaplain, M. A. J. Feb 2015 In : Seminars in Cancer Biology. 30, p. 13-20 8 p.

    Research output: Contribution to journalArticle

  24. Strategies of eradicating glioma cells: A multi-scale mathematical model with miR-451-AMPK-mTOR control

    Kim, Y., Powathil, G., Kang, H., Trucu, D., Kim, H., Lawler, S. & Chaplain, M. 28 Jan 2015 In : PLoS ONE. 10, 1, 30 p., e0114370

    Research output: Contribution to journalArticle

  25. A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation

    Katsaounis, T. & Kyza, I. Jan 2015 In : Numerische Mathematik. 129, 1, p. 55-90 36 p.

    Research output: Contribution to journalArticle

  26. Integral representation of a solution to the Stokes-Darcy problem

    Medková, D., Ptashnyk, M. & Varnhorn, W. 2015 In : Mathematical Methods in the Applied Sciences. 16 p.

    Research output: Contribution to journalArticle

  27. Modelling communication and movement: from cells to animals and humans

    Eftimie, R. 2015 Snapshots of Modern Mathematics from Oberwolfach, 6, p. 1-7 7 p.

    Research output: Contribution to specialist publicationArticle

  28. Solving a Maxwell interface problem by a local L2projected C0finite element method

    Duan, H., Lin, P. & Tan, R. C. E. 2015 Numerical Mathematics and Advanced Applications ENUMATH 2013: Proceedings of the ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013. Abdulle, A., Deparis, S., Kressner, D., Nobile, F. & Picasso, M. (eds.). Switzerland, p. 795-802 8 p. (Lecture Notes in Computational Science and Engineering; vol. 103)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  29. Spatiotemporal oscillations of Notch1, Dll1 and NICD are coordinated across the mouse PSM

    Bone, R. A., Bailey, C. S. L., Wiedermann, G., Ferjentsik, Z., Appleton, P. L., Murray, P. J., Maroto, M. & Dale, J. K. 15 Dec 2014 In : Development. 141, 24, p. 4806-4816 11 p.

    Research output: Contribution to journalArticle

  30. Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns

    Domschke, P., Trucu, D., Gerisch, A. & Chaplain, M. A. J. 21 Nov 2014 In : Journal of Theoretical Biology. 361, p. 41-60 20 p.

    Research output: Contribution to journalArticle

  31. Codimension-two bifurcations in animal aggregation models with symmetry

    Buono, P-L. & Eftimie, R. 13 Nov 2014 In : Siam Journal on Applied Dynamical Systems. 13, 4, p. 1542-1582 41 p.

    Research output: Contribution to journalArticle

  32. A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law

    Guo, Z., Lin, P. & Lowengrub, J. S. 1 Nov 2014 In : Journal of Computational Physics. 276, p. 486-507 22 p.

    Research output: Contribution to journalArticle

  33. Dynamic topology and flux rope evolution during non-linear tearing of 3D null point current sheets

    Wyper, P. F. & Pontin, D. I. Oct 2014 In : Physics of Plasmas. 21, 10, 11 p., 102102

    Research output: Contribution to journalArticle

  34. Superflare occurrence and energies on G-, K-, and M-type dwarfs

    Candelaresi, S., Hillier, A., Maehara, H., Brandenburg, A. & Shibata, K. 1 Sep 2014 In : Astrophysical Journal. 792, 1, 67

    Research output: Contribution to journalArticle

  35. Extending the transport theorem to rough domains of integration

    Seguin, B., Hinz, D. F. & Fried, E. Sep 2014 In : Applied Mechanics Reviews. 66, 5, 16 p., 050802

    Research output: Contribution to journalArticle

  36. In situ properties of small and large flux ropes in the solar wind

    Janvier, M., Démoulin, P. & Dasso, S. Sep 2014 In : Journal of Geophysical Research: Space Physics. 119, 9, p. 7088-7107 20 p.

    Research output: Contribution to journalArticle

  37. The effect of interstitial pressure on therapeutic agent transport: coupling with the tumor blood and lymphatic vascular systems

    Wu, M., Frieboes, H. B., Chaplain, M. A. J., McDougall, S. R., Cristini, V. & Lowengrub, J. S. 21 Aug 2014 In : Journal of Theoretical Biology. 355, p. 194-207 14 p.

    Research output: Contribution to journalArticle

  38. Non-linear tearing of 3D null point current sheets

    Wyper, P. F. & Pontin, D. I. Aug 2014 In : Physics of Plasmas. 21, 8, 10 p., 082114

    Research output: Contribution to journalArticle

  39. Regenerative Hair Waves in Aging Mice and Extra-Follicular Modulators Follistatin, Dkk1 and Sfrp4

    Chen, C-C., Murray, P. J., Jiang, T. X., Plikus, M. V., Chang, Y-T., Lee, O. K., Widelitz, R. B. & Chuong, C. M. Aug 2014 In : Journal of Investigative Dermatology. 134, 8, p. 2086-2096 11 p.

    Research output: Contribution to journalArticle

  40. Stochastic modelling of chromosomal segregation: errors can introduce correction

    Matzavinos, A., Shtylla, B., Voller, Z., Liu, S. & Chaplain, M. A. J. Jul 2014 In : Bulletin of Mathematical Biology. 76, 7, p. 1590-1606 17 p.

    Research output: Contribution to journalArticle

  41. Current singularities in line-tied three-dimensional magnetic fields

    Craig, I. J. D. & Pontin, D. I. 20 Jun 2014 In : Astrophysical Journal. 788, 2, 8 p., 177

    Research output: Contribution to journalArticle

  42. Existence and meta-stability of steady states of a model for chemotaxis

    Davidson, F. A. & Savory, A. I. M. Jun 2014 In : Nonlinear Analysis: Real World Applications. 17, p. 101-113 13 p.

    Research output: Contribution to journalArticle

  43. A finite element method for heat transfer of power-law flow in channels with a transverse magnetic field

    Shi, H., Lin, P., Li, B. & Zheng, L. 30 May 2014 In : Mathematical Methods in the Applied Sciences. 37, 8, p. 1121-1129 9 p.

    Research output: Contribution to journalArticle

  44. Auto-aggregation in zoospores of Phytophthora infestans: the cooperative roles of bioconvection and chemotaxis

    Savory, A. I. M., Grenville-Briggs, L. J., Wawra, S., van West, P. & Davidson, F. A. 6 May 2014 In : Journal of the Royal Society Interface. 11, 94, 8 p., 20140017

    Research output: Contribution to journalArticle

  45. Alfvén wave boundary condition for responsive magnetosphere-ionosphere coupling

    Wright, A. N. & Russell, A. J. B. May 2014 In : Journal of Geophysical Research: Space Physics. 119, 5, p. 3996-4009 14 p.

    Research output: Contribution to journalArticle

  46. Retinal vessel segmentation using a finite element based binary level set method

    Guo, Z., Lin, P., Ji, G. & Wang, Y. May 2014 In : Inverse Problems and Imaging. 8, 2, p. 459-473 15 p.

    Research output: Contribution to journalArticle

  47. Slipping magnetic reconnection during an X-Class solar flare observed by SDO/AIA

    Dudík, J., Janvier, M., Aulanier, G., Del Zanna, G., Karlický, M., Mason, H. E. & Schmieder, B. 1 Apr 2014 In : Astrophysical Journal. 784, 2, 21 p., 144

    Research output: Contribution to journalArticle

  48. High order variable mesh off-step discretization for the solution of 1-D non-linear hyperbolic equation

    Singh, S. & Lin, P. 1 Mar 2014 In : Applied Mathematics and Computation. 230, p. 629-638 10 p.

    Research output: Contribution to journalArticle

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