糖心原创

Contact

• workRoom C5 The Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 8467214
• fax0115 9514951
• markus.owen@nottingham.ac.uk

Biography

• BSc Applied Mathematics, Warwick, 1994 (1st class)
• PhD Interdisciplinary Applied Mathematics, Warwick, 1997 (supervisor, Jonathan Sherratt)
• PDRA, University of Utah, 1997-1999
• Lecturer, Loughborough University, 1999-2003; Senior Lecturer, 2003-2004
• Reader, 糖心原创, 2004-2013
• Professor of Mathematical Biology, 2013-date

Teaching Summary

Modules

• (Linear Algebra, Autumn Semester)

I am particularly interested in how to deliver mathematical modelling concepts to life scientists.

Research Summary

From 2011 to 2019 I was Head of the Research Group and Director of the .

From 2015 to 2022 I led a Leverhulme Doctoral Scholarships programme in . Going further back, I led the BBSRC-funded and the EPSRC-funded Cell Signalling Network (Signet).

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Current PhD students: Nicholas Harbour

Previous PhD students:

• Rik Rutjens (2023), Simulating maize/bean polycultures using functional-structural plant modelling (viva passed with minor correction, 6 Nov 2023)
• Bethan Morris (2022), Characterisation of glioblastoma sub-populations using mathematical modelling and inference (viva passed with minor corrections, 15 Sept 2022)
• (2022), Mathematical modelling of auxin dynamics in the model plant Arabidopsis thaliana (viva passed with minor corrections, 9 Sept 2022)
• Avinash Harkison (2022), Modelling and Experiment to Understand the Control of Germ Cell Migration in vivo (viva pending)
• (2021),
• Ernst Sch盲fer (2021),
• (2020),
• Holly Smith (2019), Pattern Formation by Lateral Inhibition in Physiological and Tumour Angiogenesis
• (2019),
• Regi Jurkus (2019),
• (2018), .
• (2017),
• Tanvi Joshi (2015), Multiscale modelling of cancer growth and therapy
• Lindsey Macdougall (),
• Michelle Baker (),
• Georgina Fenton (2014), Neural network interactions underlying emotional learning and memory: integrating experimental and theoretical approaches.
• Sunny Modhara (),
• Sotiris Prokopiou (),
• Wodu Majin (),
• Ioannis Taxidis (),
• Duncan Barrack (),
• Johanna Stamper (2009), Approaches to modelling angiogenesis and vasculogenesis in solid tumours.
• Sabine Schamberg (),
• James Smith (2006).

Previous PDRAs: , Jenn Gaskell, , , Stephen Pring, Johanna Stamper, and Hao Zhu

My principal research interests are in the application of nonlinear mathematical models to problems in cell biology, in particular to cancer, angiogenesis (the growth of new blood vessels), developmental biology (both in animals and plants) and neuroscience. I also have an interest in ecology and immunology. I use a variety of mathematical approaches, including models for single cells, populations and tissues, and a range of tools for mathematical analysis and computer simulation. Much of this work is underpinned by multidisciplinary collaborations with life scientists, engineers, computer scientists and other mathematicians.

Selected Publications

• OWEN, M.R., STAMPER, I.J., MUTHANA, M., RICHARDSON, G.W., DOBSON, J., LEWIS, C.E. and BYRNE, H.M., 2011. Cancer Research. 71(8), 2826
• OWEN, M.R., ALARC脫N, T., MAINI, P.K. and BYRNE, H.M., 2009. Journal of Mathematical Biology. 58(4-5), 689-721
• COOMBES, S. and OWEN, M.R., 2005. Physical Review Letters. VOL 94(NUMB 14), 148102
• OWEN, M.R., 2002. Physica D: Nonlinear Phenomena. 173(1-2), 59-76

• View all publications

The (CMMB) is based within the School of Mathematical Sciences and comprises members of the 糖心原创 who use mathematical methods to provide insights into biological and biomedical phenomena. We aim to promote the application of mathematical modelling to medicine and the biomedical sciences, and to stimulate multi-disciplinary research within the University and beyond

.

Past Research

MODELLING THE MACROPHAGE INVASION OF TUMOURS

Even in the early stages of their development, tumours are not simply a homogeneous grouping of mutant cells; rather, they develop in tandem with normal tissue cells, and also recruit other cell types. Many solid tumours contain a high proportion of macrophages, a type of white blood cell which can have a variety of effects upon the tumour, leading to a delicate balance between growth promotion and inhibition.

ODE model for macrophage-tumour interactions: Initial research concentrated on an ODE model for the anti-tumour effects of macrophages, a type of white blood cell, and results show that while macrophages can strongly affect the cellular composition of a tumour, they cannot eliminate it altogether. Inclusion in this model of a source term of chemical regulator, corresponding to some immuno-therapeutic strategies targeting macrophages, was shown to lead to the possibility of tumour regression. A detailed bifurcation analysis demonstrated the possibility of multiple stable steady states and hysteresis.

Immunotherapy simulation (jpeg).

PDE model -- pattern formation: Tumour growth is very much a spatial phenomenon, and so the natural next step was to include spatial variation. In the consequent PDE model, random cell movement and diffusion of a chemical regulator lead to a pattern forming bifurcation behind a travelling wave front of invading tumour cells. This is explained by the rapid diffusion of chemical regulator leading to a typical long range activation---short range inhibition type mechanism. These results suggest that tumour heterogeneity may arise in part as a consequence of macrophage infiltration.

2d simulation showing evolution of a pattern behind a travelling wave of tumour invasion.

An intuitive explanation for this spatial instability is that given a local perturbation increasing the density of mutant cells, chemical regulator production will also increase locally. Then if the chemical diffuses fast enough, it will act non-locally to activate macrophages to the tumouricidal state and to stimulate an additional influx of macrophages. This will suppress non-local mutant cell growth, whilst enhancing local mutant cell growth, due to the relative suppression of local macrophage activation, so that the original perturbation will grow in time.

PDE model -- spatiotemporal irregularity: Using data from the literature I determined ranges for the parameters governing macrophage motility using a mathematical model of the experimental procedure. Including macrophage chemotaxis with these parameters led to the development of irregular wakes behind the wave front of invading tumour cells. This phenomenon was investigated using domain length as a bifurcation parameter. Stable oscillating solutions with a regular period were found to coexist with stable steady patterns for certain windows in domain length which were deduced to appear at regular intervals. Intuitively the wave front can be treated as a moving boundary, leading to the proposal that as the wave spreads out, the effective domain length passes through a series of bifurcations, so that the solution seen is always transient and irregular.

Snapshots from a two-dimensional simulation illustrating that chemotaxis leads to solutions which are irregular in space and time. For a movie of a similar simulation, click here: and

Future Research

Future research will continue to focus on many of the above topics. For PhD opportunities, see:

/mathematics/study/research/postgraduate-projects.aspx

• SCHAFER, ERNST D., OWEN, MARKUS R., BAND, LEAH R., FARCOT, ETIENNE, BENNETT, MALCOLM J. and LYNCH, JONATHAN P., 2022. Modeling root loss reveals impacts on nutrient uptake and crop development PLANT PHYSIOLOGY.
• WHITELEY, TIMOTHY D., AVITABILE, DANIELE, SIEBERS, PEER-OLAF, ROBINSON, DARREN and OWEN, MARKUS R., 2022. Modelling the emergence of cities and urban patterning using coupled integro-differential equations JOURNAL OF THE ROYAL SOCIETY INTERFACE. 19(190),
• BENSON, THOMAS, DE BIE, JASPER, GASKELL, JENNIFER, VEZZA, PAOLO, KERR, JAMES R., LUMBROSO, DARREN, OWEN, MARKUS R. and KEMP, PAUL S., 2021. Agent-based modelling of juvenile eel migration via selective tidal stream transport (vol 443, 109448, 2021) ECOLOGICAL MODELLING. 453,
• RIZZA, ANNALISA, TANG, BIJUN, STANLEY, CLAIRE E., GROSSMANN, GUIDO, OWEN, MARKUS R., BAND, LEAH R. and JONES, ALEXANDER M., 2021. Differential biosynthesis and cellular permeability explain longitudinal gibberellin gradients in growing roots PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA. 118(8),
• CURTIN, LEE, HAWKINS-DAARUD, ANDREA, VAN DER ZEE, KRISTOFFER G., SWANSON, KRISTIN R. and OWEN, MARKUS R., 2020. BULLETIN OF MATHEMATICAL BIOLOGY. 82(3),
• IRONS, LINDA, HUANG, HUANG, OWEN, MARKUS R, O鈥橠EA, REUBEN D, MEININGER, GERALD A and BROOK, BINDI S, 2020. Journal of Theoretical Biology. 110387
• MORRIS, B, CURTIN, L, HAWKINS-DAARUD, A, HUBBARD, ME, RAHMAN, R, SMITH, SJ, AUER, D, TRAN, NL, HU, LS, SWANSON, KR and OWEN, MR, 2020. Mathematical Biosciences and Engineering. 17(5), 4905-4941
• LEE CURTIN, ANDREA HAWKINS-DAARUD, ALYX B. PORTER, KRISTOFFER G. VAN DER ZEE, MARKUS R. OWEN and KRISTIN R. SWANSON, 2020. Bulletin of Mathematical Biology. 82, 143
• JOSHI TV, AVITABILE D and OWEN MR, 2018. Bulletin of mathematical biology. (In Press.)
• L. IRONS, M.R. OWEN, R.D. O'DEA and B.S. BROOK, 2018. Biophysical Journal. 114(11), 2679鈥�2690
• DIETRICH D, PANG L, KOBAYASHI A, FOZARD JA, BOUDOLF V, BHOSALE R, ANTONI R, NGUYEN T, HIRATSUKA S, FUJII N, MIYAZAWA Y, BAE TW, WELLS DM, OWEN MR, BAND LR, DYSON RJ, JENSEN OE, KING JR, TRACY SR, STURROCK CJ, MOONEY SJ, ROBERTS JA, BHALERAO RP, DINNENY JR, RODRIGUEZ PL, NAGATANI A, HOSOKAWA Y, BASKIN TI, PRIDMORE TP, DE VEYLDER L, TAKAHASHI H and BENNETT MJ, 2017. Nature plants. 3, 17057
• POSTMA JA, KUPPE C, OWEN MR, MELLOR N, GRIFFITHS M, BENNETT MJ, LYNCH JP and WATT M, 2017. The New phytologist. 215(3), 1274-1286
• BAKER, MICHELLE, BROOK, BINDI S. and OWEN, MARKUS R., 2017. JOURNAL OF MATHEMATICAL BIOLOGY. 75(4), 985-1024
• ZHU, HAO, OWEN, MARKUS R. and MAO, YANLAN, 2016. Bioinformatics.
• MELLOR, NATHAN, BAND, LEAH R., PENCIK, ALES, NOVAK, ONDREJ, RASHED, AFAF, HOLMAN, TARA, WILSON, MICHAEL H., VOSS, UTE, BISHOPP, ANTHONY, KING, JOHN R., LJUNG, KARIN, BENNETT, MALCOLM J. and OWEN, MARKUS R., 2016. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA. 113(39), 11022-11027
• BARRACK DS, THUL R and OWEN MR, 2015. Journal of theoretical biology. 377, 85-97 (In Press.)
• BEGITT, ANDREAS, DROESCHER, MATHIAS, MEYER, THOMAS, SCHMID, CHRISTOPH D., BAKER, MICHELLE, ANTUNES, FILIPA, OWEN, MARKUS R., NAUMANN, RONALD, DECKER, THOMAS and VINKEMEIER, UWE, 2014. NATURE IMMUNOLOGY. 15(2), 168-176
• BARRACK DS, THUL R and OWEN MR, 2014. Journal of theoretical biology. 347C, 17-32 (In Press.)
• FIGUEREDO, GRAZZIELA P, SIEBERS, PEER-OLAF, OWEN, MARKUS R, REPS, JENNA and AICKELIN, UWE, 2014. PloS ONE. 9(4), e95150
• PROKOPIOU, SOTIRIS A., BYRNE, HELEN M., JEFFREY, MIKE R., ROBINSON, ROBERT S., MANN, GEORGE E. and OWEN, MARKUS R., 2014. JOURNAL OF MATHEMATICAL BIOLOGY. 69(6-7), 1515-1546
• FISCHER, S., HOUSTON, P., MONK, N.A.M. and OWEN, M.R., 2013. PLOS ONE. 8(4), e60064
• FIGUEREDO, GRAZZIELA P., JOSHI, TANVI V., OSBORNE, JAMES M., BYRNE, HELEN M. and OWEN, MARKUS R., 2013. INTERFACE FOCUS. 3(2),
• ZHU, HAO and OWEN, MARKUS R., 2013. SCIENTIFIC REPORTS. 3,
• TAXIDIS, JIANNIS, MIZUSEKI, KENJI, MASON, ROBERT and OWEN, MARKUS R., 2013. 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,
• PERET, BENJAMIN, MIDDLETON, ALISTAIR M., FRENCH, ANDREW P., LARRIEU, ANTOINE, BISHOPP, ANTHONY, NJO, MARIA, WELLS, DARREN M., PORCO, SILVANA, MELLOR, NATHAN, BAND, LEAH R., CASIMIRO, ILDA, KLEINE-VEHN, JUERGEN, VANNESTE, STEFFEN, SAIRANEN, ILKKA, MALLET, ROMAIN, SANDBERG, GORAN, LJUNG, KARIN, BEECKMAN, TOM, BENKOVA, EVA, FRIML, JIRI, KRAMER, ERIC, KING, JOHN R., DE SMET, IVE, PRIDMORE, TONY, OWEN, MARKUS and BENNETT, MALCOLM J., 2013. MOLECULAR SYSTEMS BIOLOGY. 9,
• BAKER, MICHELLE, DENMAN-JOHNSON, SARAH, BROOK, BINDI S., GAYWOOD, IAN and OWEN, MARKUS R., 2013. MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA. 30(4), 311-337
• PERFAHL, H., BYRNE, H.M., CHEN, T., ESTRELLA, V., ALARC脫N, T., LAPIN, A., GATENBY, R.A., GILLIES, R.J., LLOYD, M.C., MAINI, P.K., REUSS, M. and OWEN, M.R., 2013. . In: COLLINS, MICHAEL W. and KOENIG, CAROLA S., eds., Micro and Nano Flow Systems for Bioanalysis 2. Springer New York. 29-48
• TAXIDIS, J., COOMBES, S., MASON, R. and OWEN, M.R., 2012. Hippocampus. 22(5), 995-1017
• BAND, L.R., UBEDA-TOMAS, S., DYSON, R.J., MIDDLETON, A.M., HODGMAN, T.C., OWEN, M.R., JENSEN, O.E., BENNETT, M.J and KING, J.R., 2012. Proceedings of the National Academy of Sciences of the United States of America: PNAS. 109(19), 7577-7582
• BAND. L.R., WELLS, D.M., LARRIEU, A., SUN, J., MIDDLETON, A.M., FRENCH, A.P., BRUNOUD, G., SATO, E.M., WILSON, M.H., P脡RET, B., OLIVA, M., SWARUP, R., SAIRANEN, I., PARRY, G., LJUNG, K., BEECKMAN, T., GARIBALDI, J.M., ESTELLE, M., OWEN, M.R., VISSENBERG, K., HODGMAN, T.C., PRIDMORE, T.P., KING, J.R., VERNOUX, T. and BENNETT, M.J., 2012. Proceedings of the National Academy of Sciences of the United States of America. 109(12), 4668-4673
• MIDDLETON A.M., UBEDA-TOM脕S S., GRIFFITHS J., HOLMAN T., HEDDEN P., THOMAS S.G., PHILLIPS A.L., HOLDSWORTH M.J., BENNETT M.J., KING J.R. and OWEN M.R., 2012. Proceedings of the National Academy of Sciences of the United States of America. 109(19), 7571-7576
• PRING SR, OWEN M, KING JR, SINCLAIR KD, WEBB R, FLINT APF and GARNSWORTHY PC, 2012. Journal of Theoretical Biology. 313, 115鈥�126
• MIDDLETON AM, FARCOT E, OWEN MR and VERNOUX T, 2012. The plant cell. (In Press.)
• PRING, STEPHEN R., OWEN, MARKUS, KING, JOHN R., SINCLAIR, KEVIN D., WEBB, ROBERT, FLINT, ANTHONY P. F. and GARNSWORTHY, PHILIP C., 2012. JOURNAL OF THEORETICAL BIOLOGY. 313, 115-126
• OWEN, M.R., STAMPER, I.J., MUTHANA, M., RICHARDSON, G.W., DOBSON, J., LEWIS, C.E. and BYRNE, H.M., 2011. Cancer Research. 71(8), 2826
• PERFAHL H, BYRNE HM, CHEN T, ESTRELLA V, ALARC脫N T, LAPIN A, GATENBY RA, GILLIES RJ, LLOYD MC, MAINI PK, REUSS M and OWEN MR, 2011. Plos One. 6(4), e14790
• MIDDLETON, A.M, KING, J.R, BENNETT, M.J and OWEN, M.R., 2010. Bull Math Biol. 72(6), 1383-1407
• SCHAMBERG, S., HOUSTON, P., MONK, N.A.M. and OWEN, M.R., 2010. Bulletin of Mathematical Biology. 72(3), 645-680
• STAMPER, I J, OWEN, M R, MAINI, P K and BYRNE, H M, 2010. Biology direct. 5, 27
• TAXIDIS, J., COOMBER, B., MASON, R. and OWEN, M., 2010. Biological Cybernetics. 102(4), 327-340
• BRIDGE, LJ, KING, JR, HILL, SJ and OWEN, MR, 2010. Mathematical Biosciences. 223(2), 115-132
• BYRNE HM and OWEN MR, 2010. Macrophages And Tumours: Friends Or Foe?. In: MONDAINI RP, ed., 9th International Symposium on Mathematical and Computational Biology - BIOMAT 2009 WORLD SCIENTIFIC PUBL CO PTE LTD, PO BOX 128 FARRER RD, SINGAPORE 9128, SINGAPORE. 1-20
• SMITH, JAMES M D, MAAS, JAMES A, GARNSWORTHY, PHILIP C, OWEN, MARKUS R, COOMBES, STEPHEN, PILLAY, TAHIR S, BARRETT, DAVID A and SYMONDS, MICHAEL E, 2009. Obesity (Silver Spring, Md.). 17(4), 632-9
• OWEN, M.R., ALARC脫N, T., MAINI, P.K. and BYRNE, H.M., 2009. Journal of Mathematical Biology. 58(4-5), 689-721
• ZACHARIOU, M., DISSANAYAKE, D. W., COOMBES, S., OWEN, M. R. and MASON, R., 2008. COGNITIVE NEURODYNAMICS. VOL 2(NUMBER 2), 159-170
• BYRNE, H.M., VAN LEEUWEN, I.M.M., OWEN, M.R., ALARCON, T. and MAINI, P.K., 2008. Multiscale modelling of solid tumour growth. In: BELLOMO, N., DE ANGELIS, E. and CHAPLAIN, M.A.J., eds., Selected topics in cancer modelling: Genesis, evolution, immune competition, therapy. 叠颈谤办丑盲耻蝉别谤.
• SMITH, J.M.D., WARD, J.P, CHILD, L.E. and OWEN, M.R., 2008. Modelling the spatial spread of Japanese knotweed (Fallopia japonica) on a local scale in the United Kingdom. In: TOKARSKA-GUZIK, B., BROCK, J.H., BRUNDU, G., CHILD, L., DAEHLER, C.C. and PYSEK, P., eds., Plant Invasions: Human perception, ecological impacts and management Backhuys. 145-160
• DILLON, R., PAINTER, K.J. and OWEN, M.R., 2008. A single-cell based model of cellular growth using the immersed boundary method. In: KHOO, B.C., LI, Z., LIN and P., eds., Moving Interface Problems and Applications in Fluid Dynamics American Mathematical Society. (In Press.)
• ZACHARIOU, M., DISSANAYAKE, D.W.N., OWEN, M.R., MASON, R. and COOMBES, S, 2007. Neurocomputing. 70(10-12), 1902-1906
• COOMBES, S, and OWEN, M.R., 2007. . In: BOTELHO, F., HAGEN, T. and JAMISON, J., eds., Fluids and Waves: Recent Trends in Applied Analysis 440. American Mathematical Society. 123-144
• WEBB, S.D., OWEN, M.R., BYRNE, H.M., MURDOCH, C. and LEWIS, C.E., 2007. Bulletin of Mathematical Biology. 69, 1747-1776
• MAINI, P.K., ALARCON, T., BYRNE, H.M., OWEN, M.R. and MURPHY, J., 2007. Structural adaptation in normal and cancerous vasculature. In: ALETTI, G., BURGER, M., MICHELETTI, A. and MORALE D., eds., Math Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry Springer. 165-178
• STAMPER, I J, BYRNE, H M, OWEN, M R and MAINI, P K, 2007. Bulletin of Mathematical Biology. 69(8), 2737-72
• SMITH, J.M.D., WARD, J.P, CHILD, L.E. and OWEN, M.R., 2007. Ecological Modelling. 200(3-4), 421-432 (In Press.)
• OWEN, M.R., LAING, C.R. and COOMBES, S., 2007. New Journal of Physics. 378 (In Press.)
• ZHU, H., YANG, H. and OWEN, M.R., 2007. Systems and Synthetic Biology. 1(4), 171-181
• BYRNE, H. M., ALARCON, T., OWEN, M. R., WEBB, S. D. and MAINI, P. K., 2006. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences. VOL 364(NUMB 1843), 1563-1578
• ALARCON, T, OWEN, M.R., BYRNE, H.M. and MAINI, P.K., 2006. Computational and Mathematical Methods in Medicine. 7, 85-119
• BYRNE, H.M., OWEN, M., ALARCON, T. and MAINI, P.K., 2006. Cancer disease: integrative modelling approaches In: IEEE International Symposium on Biomedical Imaging: from nano to micro. 806-809
• BETTERIDGE, R., OWEN, M.R., BYRNE, H.M., ALARCON, T. and MAINI, P.K, 2006. Networks and Heterogeneous Media. 16(4), 515-535
• BYRNE, H.M., ALARCON, T., OWEN, M.R., MURPHY, J. and MAINI, P.K., 2006. Mathematical Models and Methods in Applied Sciences. 16(S1), 1219-1241
• BYRNE, HM, OWEN, MR, ALARCON, T and MAINI, PK, 2006. Cancer Disease: Integrative Modelling Approaches
• COOMBES, S. and OWEN, M.R., 2005. Physical Review Letters. VOL 94(NUMB 14), 148102
• COOMBES, S. and OWEN, M.R., 2004. SIAM Journal on Applied Dynamical Systems. 3(4), 574-600
• BYRNE, H.M. and OWEN, M.R., 2004. Journal of Mathematical Biology. 49(6), 604-626
• WEBB, S.D. and OWEN, M.R., 2004. Journal of Mathematical Biology. VOL 48(PART 4), 444-476
• WEBB, S. D. and OWEN, M. R., 2004. Journal of Theoretical Biology. VOL 230(NUMBER 1), 99-117
• OWEN, M. R., BYRNE, H. M. and LEWIS, C. E., 2004. Journal of Theoretical Biology. VOL 226(NUMBER 4), 377-391
• OWEN, M.R., 2004.
• COOMBES, S., LORD, G. J. and OWEN, M. R., 2003. Physica D - Nonlinear Phenomena. VOL 178(NUMBER 3-4), 219-241
• OWEN, M.R., 2002. Physica D: Nonlinear Phenomena. 173(1-2), 59-76
• BYRNE, H. and OWEN, M.R., 2002. Use of mathematical models to simulate and predict macrophage activity in diseased tissues. In: BURKE, B. and LEWIS, C.E., eds., The Macrophage 2nd. Oxford University Press, Oxford.
• COOMBES, S, OWEN, M R and SMITH, G D, 2001. Mode locking in a periodically forced integrate-and-fire-or-burst neuron model. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 64(4 Pt 1), 041914
• OWEN, M.R. and LEWIS, M.A., 2001. Bulletin of Mathematical Biology. VOL 63(PART 4), 655-684
• OWEN, M. R. and LEWIS, M. A., 2001. SIAM Journal on Applied Mathematics. VOL 61(PART 5), 1731-1761
• OWEN, M. R., SHERRATT, J. A. and WEARING, H. J., 2000. Developmental Biology. VOL 217(PART 1), 54-61
• MONK, N.A., SHERRATT, J.A. and OWEN, M.R., 2000. Spatiotemporal patterning in models of juxtacrine intercellular signalling with feedback. In: MAINI, P.K. and OTHMER, H.G., eds., Mathematical Models for Biological Pattern Formation Springer, New York, USA. 165-192
• WEARING, H. J., OWEN, M. R. and SHERRATT, J. A., 2000. Bulletin of Mathematical Biology. VOL 62(PART 2), 293-320
• OWEN, M. R. and SHERRATT, J. A., 1999. Mathematical Models and Methods in Applied Sciences. VOL 9(NUMBER 4), 513-540
• SHERRATT, J.A., PERUMPANANI, A.J. and OWEN, M.R., 1999. Pattern formation in cancer. In: On Growth and Form: Spatio-temporal Pattern Formation in Biology John Wiley & Sons, Chichester, UK.
• OWEN, M. R., SHERRATT, J. A. and MYERS, S. R., 1999. Proceedings of the Royal Society B: Biological Sciences. ISSUE 1419, 579-585
• OWEN, M. R. and SHERRATT, J. A., 1998. IMA Journal of Mathematics Applied in Medicine and Biology. VOL 15(NUMBER 2), 165-186
• OWEN, M. R. and SHERRATT, J. A., 1998. Mathematical Biosciences. VOL 153(NUMBER 2), 125-150
• OWEN, M. R. and SHERRATT, J. A., 1997. Journal of Theoretical Biology. VOL 189(NUMBER 1), 63-80
• OWEN, M.R., GOMES, M.G. and KING, G.P., 1994. Detecting symmetric chaos In: Complex Stochastic Systems and Engineering, IMA Conference Proceedings Series.