Markus Owen | Centre for Mathematical Medicine & Biology | School of Mathematical Sciences | University of Nottingham

Markus Owen's Papers and Preprints

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Refereed Journal Publications
  1. M R Owen, J A Sherratt: Pattern Formation and Spatiotemporal Irregularity in a model for Macrophage-Tumour interactions. J. Theor. Biol. 189: 63-80 (1997). Abstract
  2. M R Owen, J A Sherratt: Modelling the Macrophage Invasion of Tumours: Effects on Growth and Composition. IMA J. Math. Appl. Med. Biol. 15: 165-185 (1998). Abstract
  3. M R Owen, J A Sherratt: Mathematical Modelling of Juxtacrine Cell Signalling. Math. Biosci. 153: 125-150 (1998). Abstract
  4. M R Owen, J A Sherratt, S.R. Myers: How far can a juxtacrine signal travel? Proc. R. Soc. Lond. B 266: 579-585 (1999). Abstract
  5. M R Owen, J A Sherratt: Mathematical modelling of macrophage dynamics in tumours. Math. Models Meth. Appl. Sci. 9: 513-539 (1999). Abstract
  6. M R Owen, J A Sherratt, H. J. Wearing: Lateral induction by juxtacrine signalling is a new mechanism for pattern formation. Developmental Biology 217: 54-61 (2000).
    Read the Abstract, or download the PDF.
  7. H J Wearing, M R Owen, J A Sherratt: Mathematical modelling of juxtacrine patterning. Bull. Math. Biol. 62: 293-320 (2000). Abstract
  8. M R Owen, M A Lewis: The Mechanics of Lung Tissue under High-Frequency Ventilation. SIAM Journal on Applied Mathematics 61(5): 1731-1761 (2001). Abstract
  9. M R Owen, M A Lewis: How predation can slow, stop or reverse a prey invasion. Bull. Math. Biol. 63(4): 655-684 (2001). Abstract
  10. S. Coombes, M. R. Owen and G.D. Smith: Mode-locking in a periodically forced integrate-and-fire-or-burst neuron model. Phys. Rev. E 64: 041914 (2001).
  11. M R Owen: Waves and propagation failure in discrete space models with nonlinear coupling and feedback. Physica D 173: 59-76 (2002).
  12. S Coombes, G J Lord and M R Owen: Waves and bumps in neuronal networks with axo-dendritic synaptic interactions. Physica D 178: 219-241(2003).
  13. M R Owen, H M Byrne and C E Lewis: Mathematical modelling of the use of macrophages as vehicles for drug-delivery to hypoxic tumour sites. J. Theor. Biol. 226: 377-391 (2004).
  14. S D Webb and M R Owen: Oscillations and patterns in spatially discrete models for developmental ligand-receptor interactions. J. Math. Biol. 48: 444-476 (2004).
  15. S D Webb and M R Owen: Intra-membrane ligand diffusion and cell shape modulate juxtacrine patterning. J. Theor. Biol. 230:99-117 (2004).
  16. S Coombes and M R Owen: Evans functions for integral neural field equations with Heaviside firing rate function. SIAM J. App. Dyn. Sys. 34:574-600 (2004). Link to Journal article
  17. H M Byrne and M R Owen: A New Interpretation of The Keller-Segel Model Based on Multiphase Modelling. J. Math. Biol. 49:604-626 (2004). Link to Journal article
  18. S Coombes and M R Owen: Bumps, breathers, and waves in a neural network with spike frequency adaptation. Physical Review Letters 94:148102 (2005) Link to Journal article
  19. H M Byrne, T Alarcón, M R Owen, S D Webb, P K Maini: Modelling aspects of cancer dynamics: a review. Phil. Trans. Roy. Soc. A 364:1563-1578 (2006) Link to Journal article
  20. H M Byrne, M R Owen, T Alarcón, J Murphy, P K Maini, Modelling the response of vascular tumours to chemotherapy: a multiscale approach. Math. Models Meth. Appl. Sci. 16(S1):1219-1241 (2006) doi:10.1142/S0218202506001522.
  21. T. Alarcón, M R Owen, H M Byrne and P K Maini: Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy. Computational and Mathematical Methods in Medicine 7:85-119 (2006) doi:10.1080/10273660600968994.
  22. R. Betteridge, M R Owen, H M Byrne, T Alarcón and P K Maini: The impact of cell crowding and active cell movement on vascular tumour growth. Networks and Heterogeneous Media 1(4):515-535 (2006) Link to Journal.
  23. J M D Smith, J P Ward, L E Child and M R Owen: A Simulation Model of Rhizome Networks for Fallopia japonica (Japanese Knotweed) in the United Kingdom. Ecological Modelling 200(3-4):421-432 (2007) doi: 10.1016/j.ecolmodel.2006.08.004
  24. M Zachariou, D W N Dissanayake, M R Owen, R Mason and S Coombes: The Role of Cannabinoids in the Neurobiology of Sensory Gating: A firing rate model study. Neurocomputing 70:1902-1906 Link to preprint server. doi: 10.1016/j.neucom.2006.10.065
  25. S D Webb, M R Owen, H M Byrne, C Murdoch and C E Lewis: Macrophage-based anti-cancer therapy: modelling different modes of tumour targeting. Bull. Math. Biol. 69:1747-1776 (2007) doi: 10.1007/s11538-006-9189-2 
  26. S Coombes and M R Owen: Exotic dynamics in a firing rate model of neural tissue with threshold accommodation. AMS Contemporary Mathematics 440, "Fluids and Waves - Recent Trends in Applied Analysis", (Ed. Fernanda Botelho, Thomas Hagen, and James Jamison), 123-144.
  27. M R Owen, C R Laing and S Coombes: Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities. New Journal of Physics 9:378 (2007)
  28. I J Stamper, H M Byrne, M R Owen and P K Maini: Modelling the role of angiogenesis and vasculogenesis in solid tumour growth. Bull. Math. Biol. 69:2737-2772 (2007) doi: 10.1007/s11538-007-9253-6 | F1000 Recommended
  29. H Zhu, H Yang, M R Owen: Combined Microarray analysis uncovers self-renewal related signaling in mouse embryonic stem cells. Systems and Synthetic Biology, 1(4):171-181 (2007)
  30. M Zachariou, D W N Dissanayake, S Coombes, M R Owen and R Mason: Sensory gating and its modulation by cannabinoids: electrophysiological, computational and mathematical analysis, Cognitive Neurodynamics 2(2):159-170 (2008)
  31. R Dillon, K Painter and M R Owen: A single-cell-based model of multicellular growth using the immersed boundary method. AMS Contemporary Mathematics 466, "Moving interface problems and applications in fluid dynamics", (Ed. Boo Cheong Khoo, Zhilin Li, and Ping Lin), 1-15.
  32. M R Owen, T Alarcón, P K Maini and H M Byrne: Angiogenesis and vascular remodelling in normal and cancerous tissues. J. Math. Biol., 58(4-5):689-721 (2009) doi: 10.1007/s00285-008-0213-z | Electronic Supplementary Material
  33. J M D Smith, J A Maas, P C Garnsworthy, M R Owen, S Coombes, T S Pillay, D A Barrett and M E Symonds: Mathematical modeling of glucose homeostasis and its relationship with energy balance and body fat. Obesity 17(4):632–639. (2009) doi:10.1038/oby.2008.604
  34. S Schamberg, P Houston, N A M Monk and M R Owen: Modelling and analysis of planar cell polarity. Bull. Math. Biol. 72(3):645-680 (2010) doi: 10.1007/s11538-009-9464-0
  35. A M Middleton, J R King, M J Bennett and M R Owen: Mathematical modelling of the Aux/IAA negative feedback loop. Bull. Math. Biol. 72(6):1383-1407 (2010) doi: 10.1007/s11538-009-9497-4
  36. J Taxidis, B Coomber, R Mason, M R Owen: Interpreting cortico-hippocampal functional connectivity under anaesthesia and kainic acid with generalized partial directed coherence. Biol. Cybern. 102(4):327-340 (2010) doi:10.1007/s00422-010-0370-1
  37. I J Stamper, H M Byrne, M R Owen and P K Maini: Oscillatory dynamics in a model of vascular tumour growth -- implications for chemotherapy. Biology Direct 5:27 (2010) doi: 10.1186/1745-6150-5-27
  38. L J Bridge, J R King, S J Hill and M R Owen: Mathematical modelling of signalling in a two-ligand G-protein coupled receptor system: agonist-antagonist competition. Math. Biosci. 223(2):115-132 (2010) doi: 10.1016/j.mbs.2009.11.005
  39. J Taxidis, S Coombes, R Mason, M R Owen: Modeling Sharp Wave-Ripple Complexes Through a CA3-CA1 Network Model With Chemical Synapses, Hippocampus (2011) doi: 10.1002/hipo.20930.
  40. M R Owen, I J Stamper, M Muthana, G W Richardson, J Dobson, C E Lewis and H M Byrne: Mathematical modelling predicts synergistic anti-tumor effects of combining a macrophage-based, hypoxia-targeted, gene therapy with chemotherapy, Cancer Research, in press. doi: 10.1158/0008-5472.CAN-10-2834
  41. H Perfahl, H M Byrne, T Chen, V Estrella, T Alarcón, A Lapin, R A Gatenby, R J Gillies, M C Lloyd, P K Maini, M Reuss and M R Owen: Multiscale modelling of vascular tumour growth in 3D: the roles of domain size and boundary conditions, PLoS ONE 6(4): e14790 (2011) doi:10.1371/journal.pone.0014790
  42. L R Band, D M Wells, A Larrieu, J Sun, A M Middleton, A P French, G Brunoud, E M Sato, M H Wilson, B Péret, M Olivac, R Swarup, I Sairanen, G Parry, K Ljung, T Beeckman, J M Garibaldi, M Estelle, M R Owen, K Vissenberg, T C Hodgman, T P Pridmore, J R King, T Vernoux, and M J Bennett: Root gravitropism is regulated by a transient lateral auxin gradient controlled by a tipping-point mechanism, PNAS, in press.
  43. A M Middleton, S Ubeda-Tomás, J Griffiths, T Holman, P Hedden, S G Thomas, A L Phillips, M J Holdsworth, M J Bennett, J R King, M R Owen: Mathematical modeling elucidates the role of transcriptional feedback in gibberellin signaling, PNAS, in press.
  44. L R Band, S Ubeda-Tomás, R J Dyson, A M Middleton, T C Hodgman, M R Owen, O E Jensen, M J Bennett and J R King: Growth-induced hormone dilution can explain the dynamics of plant root cell elongation, PNAS, in press.
  45. M Baker, S Denman-Johnson, B S Brook, I Gaywood, M R Owen: Mathematical modelling of cytokine mediated inflammation in Rheumatoid Arthritis. Math. Med. Biol., in press. doi: 10.1093/imammb/dqs026
  46. S R Pring, M R Owen, J R King, K D Sinclair, R Webb, A P F Flint, P C Garnsworthy: A mathematical model of the bovine oestrous cycle: simulating outcomes of dietary and pharmacological interventions. J. Theor. Biol., in press. doi: 10.1016/j.jtbi.2012.08.010
  47. A M Middleton, E Farcot, M R Owen, T Vernoux: Modelling plant regulatory networks: "small is beautiful". Plant Cell, 24(10):3876-3891 (2012) doi: 10.1105/tpc.112.101840
  48. J Taxidis, K Mizuseki, R Mason, M R Owen: Influence of Slow Oscillation on Hippocampal Activity and Ripples Through Cortico-Hippocampal Synaptic Interactions, Analyzed by a Cortical-CA3-CA1 Network Model. Frontiers in Computational Neuroscience, 7:3 (2013) doi: 10.3389/fncom.2013.00003


  1. S Schamberg, P Houston, N A M Monk and M R Owen: Is a Persistent Global Bias Necessary for the Establishment of Planar Cell Polarity? submitted.
  2. S A Prokopiou, H M Byrne, M R Jeffrey, R S Robinson, G E Mann and M R Owen: Mathematical analysis of a model for the growth of the bovine corpus luteum. submitted.

Other publications
  1. M R Owen, M.G.M. Gomes, G.P. King: Detecting Symmetric Chaos. In: Complex Stochastic Systems and Engineering, IMA Conference Proceedings Series, Oxford University Press (1994).
  2. J A Sherratt, A.J. Perumpanani, M R Owen: Pattern Formation in Cancer. In: On Growth and Form: Spatio-temporal Pattern Formation in Biology, (editors: M A J Chaplain, G D Singh, J C McLachlan), John Wiley & Sons Ltd. (1999).
  3. N A M Monk, J A Sherratt, M R Owen: Spatiotemporal patterning in models of juxtacrine intercellular signalling with feedback, In: Mathematical Models for Biological Pattern Formation, (editors: P K Maini, H G Othmer), Springer-Verlag New York (2000).
  4. H M Byrne, M R Owen: Use of mathematical models to simulate and predict macrophage activity in diseased tissues. In: The Macrophage, 2nd edition, (editors: B Burke, C E Lewis), Oxford University Press, Oxford, U.K (2002).
  5. M R Owen, Book Review, Modelling Neural Development, Edited by Arjen van Ooyen, Math. Med. Biol. 21:73-74 , (2004)
  6. H M Byrne, M R Owen, T Alarcón, P K Maini, Cancer disease: integrative modelling approaches. IEEE International Symposium on Biomedical Imaging: from nano to micro, 806-809 (2006).
  7. P K Maini, T. Alarcón, H M Byrne, M R Owen, J. Murphy, Structural adaptation in normal and cancerous vasculature, In: Math Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry, (eds. G Aletti, M Burger, A Micheletti, D Morale) Springer, pp. 165-178 (2007).
  8. J M D Smith, J P Ward, L E Child and M R Owen: Modelling the spatial spread of japanese knotweed (fallopia japonica) on a local scale in the United Kingdom, In: Plant Invasions: Human perception, ecological impacts and management, (eds. B Tokarska-Guzik, J H Brock, G Brundu, L Child, C C Daehler, and P Pysek) Backhuys Publishing, Leiden, The Netherlands, pp. 145-160 (2008).
  9. H M Byrne, I M M Van Leeuwen, M R Owen, T Alarcón, P K Maini. Multiscale modelling of solid tumour growth. In: Selected topics in cancer modelling: Genesis, evolution, immune competition, therapy. N Bellomo, E De Angelis, M A J Chaplain, Eds. Modelling and Simulation in Science, Engineering and Technology, Birkhauser, Boston.
  10. H M Byrne, M R Owen: Macrophages and tumours: friends or foe? In: BIOMAT 2009 International Symposium on Mathematical and Computational Biology (ed. Rubem P Mondaini) World Scientific, pp. 1-20 (2009). PDF
  11. H Perfahl, H M Byrne, T Chen, V Estrella, T Alarcón, A Lapin, R A Gatenby, R J Gillies, M C Lloyd, P K Maini, M Reuss, M R Owen: 3D Multiscale Modelling of Angiogenesis and Vascular Tumour Growth. In: Nano and Micro Flow Systems for Bioanalysis (Editors: M.W.Collins & C.S.König) Springer (2012)

Markus Owen | Centre for Mathematical Medicine & Biology | School of Mathematical Sciences | University of Nottingham