Chercheurs

Sciences de la Vie / MAINI, PHILIP K.

maini

Position

Professor,
Centre for Mathematical Biology
Mathematical Institute,
Oxford, U.K.

Thèmes de recherche

Mathematical and computational modelling of temporal and spatiotemporal phenomena in a number of areas in the life sciences, including developmental biology, wound healing, cancer biology and bacterial chemotaxis.

His research projects include the modelling of avascular and vascular tumours, normal and abnormal wound healing, collective motion of social insects, bacterial chemotaxis, rainforest dynamics, pathogen infections, immunology, vertebrate limb development and calcium signalling in embryogenesis.

Some recent significant research findings include: i) Predictions, based on a coupled partial differential equation paradigm model for pattern formation, on how different forms of skeletal abnormality can rise in the vertebrate limb. This is presently being tested experimentally by Dr Miura (Human Anatomy and Genetics, Oxford) on the doublefoot mouse mutant; ii) Experimentally-testable hypotheses on how certain TGF-betas may reduce scar tissue formation, based on a multiscale model for cell movement and fibre reorientation during dermal wound healing; iii) Results from a multiscale tumour growth model which show that heterogeneity (presently ignored in most models) can have a huge effect on the temporal dynamics of cancer cell growth; iv) A prediction from a bifurcation analysis of a coupled nonlinear ordinary differential model system on the possible different regulation mechanisms of the protein p27 which results in cancer cells gaining a significant advantage over normal cells in hypoxic (low oxygen) conditions.

Prix et récompenses

1978 : Open Exhibition, Balliol College, Oxford

1980 : Open Scholarship, [Mouat-Jones Scholar] Balliol College, Oxford

1982 : Prosser Prize, Balliol College, Oxford

1997 : Bellman Prize for best paper published in Mathematical Biosciences 1994-96.

2001-2002 : Royal Society Leverhulme Trust Senior Research Fellowship

2002 : Elected Life Membership, Clare Hall, Cambridge

2002 : Distinguished Foreign Visiting Fellow, Hokkaido University, Sapporo, Japan

2003 : Elected Fellow of the Institute of Mathematics and its Applications (IMA)

2005 : Elected Honorary Guest Professor, University of Electronic Science and Technology of China, Chengdu, China

2006 : Royal Society-Wolfson Research Merit Award

Publications

S. Schnell and P.K. Maini, Clock and induction model for somitogenesis, Dev. Dyn., 217, 415-420 (2000)

P.K. Maini, Mathematical modelling in the life sciences: Applications in pattern formation and wound healing, In Peyresq Lecture Notes on Nonlinear Phenomena, J. Montaldi and R. Kaiser (eds) (World Scientific), 201-237 (2000)

R.D.K. Thomas, A. Madzvamuse, P.K. Maini and A.J. Wathen, Growth patterns of noetiid ligaments: implications of developmental models for the origin of an evolutionary novelty among arcoid bivalves, In Evolutionary Biology of the Bivalvia, eds E. M. Harper, J. D. Taylor and J. A. Crame. Geological Society Special Publication, 177, 279-289 (2000)

T. Sekimura, A. Madzvamuse, A.J. Wathen and P.K. Maini, A model for colour pattern formation in the buttery wing of Papilio dardanus, Proc. Roy. Soc. Lond., B 267, 851-859 (2000)

S. Schnell, K.J. Painter, P.K. Maini and H.G. Othmer, Spatiotemporal pattern formation in early development: A review of primitive streak formation and somitogenesis, In Mathematical Models for Biological Pattern Formation, eds P.K. Maini and H.G. Othmer, IMA Volumes in Mathematics and its Applications, 121, 11-37 (2001)

P.K. Maini, Pattern formation and wound healing, Theoria et Historia Scientiarum VI (2), 161-175 (2002)

K.J. Painter, P.K. Maini and H.G. Othmer, Chemotactic response to multiple signalling cues, J. Math. Biol., 41, 285-314 (2000)

J. Dallon, J. Sherratt, P.K. Maini and M. Ferguson, Biological implications of a discrete mathematical model for collagen deposition and alignment in dermal wound repair, IMA . & Biol. 17, 379-393 (2000)

R.A. Satnoianu, M. Menzinger, P.K. Maini, Turing instabilities in general systems, J. Math. Biol., 41, 493-512 (2000)

J.R. Collier, D. McInerney, S. Schnell, P.K. Maini, D.J. Gavaghan, P. Houston, C.D. Stern, A cell cycle model for somitogenesis: mathematical formulation and numerical simulation, J. theor. Biol., 207, 305-316 (2000)

P.K. Maini, Mathematical modelling in the biosciences, [feature article] European Mathematical Society, 37, 16-18 (2000)

K.M. Page, P.K. Maini, N.A.M. Monk, C.D. Stern, A model of primitive streak initiation in the chick embryo, J. theor. Biol., 208, 419-438 (2001)

R.A. Satnoianu, P.K. Maini, Sanchez-Garduno and J.P. Armitage, Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation, DCDS B, 1, 339-362 (2001)

J.C. Dallon, J.A. Sherratt and P.K. Maini, Modelling the effects of Transforming Growth Factor-β on extracellular matrix alignment in dermal wound repair, Wound Repair and Regeneration, 9(4), 278-286 (2001)

C.J. Bampfylde, N.D. Brown, D.J. Gavaghan and P.K. Maini, Explaining rain forest diversity, J. Agric. Sci., Camb., 137, 115-116 (2001) [abstract]

R.A. Satnoianu, P.K. Maini, M. Menzinger, Parameter domains for Turing and stationary flow-distributed waves: I. The influence of nonlinearity, Physica D, 160, 79-102 (2001)

P.K. Maini, Editorial, Bull. Math. Biol., 64, 1 (2002)

E.J. Crampin and P.K. Maini, Modelling biological pattern formation: The role of domain growth, Comments in Theoretical Biology, 6(3), 229-249 (2001)

S. Schnell and P.K. Maini, Enzyme kinetics far from the standard quasi-steady-state and equilibrium approximations, Math. Comp. Modelling, 35, 137-144 (2002) [Erratum, 36, 231 (2002)]

E.J. Crampin, E.A. Gaffney and P.K. Maini, Mode doubling and tripling in reaction-diffusion patterns on growing domains: A piece-wise linear model, J. Math. Biol., 44, 107-128 (2002)

D.J. Gavaghan, J.M. Brady, C.P. Behrenbruch, R.P. Highnam, P.K. Maini, Breast Cancer: Modelling and Detection, ., 4(1), 3-20 (2002)

R.A. Gatenby, P.K. Maini and E.T. Gawlinski, Analysis of tumor as an inverse problem provides a novel theoretical framework for understanding tumor biology and therapy Appl. Math. Letters, 15, 339-345 (2002)

P.K. Maini, Applications of mathematical modelling to biological pattern formation, In, Coherent Structures in Complex Systems, D. Reguera, L.L. Bonilla, J.M. Rubi (eds), Springer (Lecture Notes in Physics, Vol 567) 205-217 (2001)

S. Schnell, P.K. Maini, D. McInerney, D. Gavaghan and P. Houston, Models for pattern formation in somitogenesis: a marriage of cellular and molecular biology, C.R. Biologies, 325, 179-189 (2002)

M.J. Ward, D. McInerney, P. Houston, D. Gavaghan and P. K. Maini, The dynamics and pinning of a spike for a reaction-diffusion system, SIAM J. Appl. Maths., 62(4), 1297-1328 (2002)

A. Madzvamuse, R.D.K. Thomas, P.K. Maini, A.J. Wathen, A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves, Bull.Math.Biol., 64, 501-530 (2002)

J. L. Aragon, M. Torres, D. Gil, R.A. Barrio and P.K. Maini, How to generate pentagonal symmetry using Turing systems, Phys Rev E 65, 051913 (9 pages) (2002). [Selected for the May 15th 2002 issue of the Virtual Journal of Biological Physics Research]

E.J. Crampin, W.W. Hackborn and P.K. Maini, Pattern formation in reaction-diffusion models with nonuniform growth, Bull. Math. Biol. 64, 747-769 (2002)

E.J. Crampin and P.K. Maini, Reaction-diffusion models for biological pattern formation, Methods and Applications of Analysis 8(3), 415-428 (2001)

R.A. Barrio, P.K. Maini, J.L. Aragon and M. Torres, Size dependent symmetry breaking in models for morphogenesis, Physica D 168-169, 61-72 (2002)

A. Madzvamuse, P.K. Maini, A.J. Wathen and T. Sekimura, A predictive model for color pattern formation in the buttery wing of Papilio dardanus, Hiroshima Math. Journal 32(2), 325-336 (2002)

P.K. Maini, L. Olsen and J.A. Sherratt, Mathematical models for cell-matrix interactions during dermal wound healing, Int. J. of Bifurcation and Chaos 12(9), 2021-2029 (2002)

E.A. Gaffney, K. Pugh, P.K. Maini and F. Arnold, Investigating a simple model of cutaneous wound healing angiogenesis, J. Math Biol. 45(4), 337-374 (2002)

D. Iber and P.K. Maini, A mathematical model for germinal centre kinetics and affinity maturation, J. theor. Biol. 219, 153-175 (2002)

R.A. Gatenby and P.K. Maini, Modelling a new angle on understanding cancer, Nature 420 (Dec 5th), pp. 462 (2002) [Correspondence]

P.K. Maini, Making sense of complex phenomena in biology, In: 'In Silico' Simulation of Biological Processes, Novartis Symposium 247, 53-59 (2002)

R.A. Gatenby and P.K. Maini, Mathematical oncology: Cancer summed up [Concepts article] Nature 421(6921) (Jan 23rd), pp. 321 (2003)

S. Schnell and P.K. Maini, A century of enzyme kinetics. Should we believe in the Km and vmax estimates? Comments in Theoretical Biology 8 (2-3), 169-187 (2003)

K. Page, P.K. Maini, N.A.M. Monk, Pattern formation in spatially heterogeneous Turing reaction-diffusion models Physica D 181, 80-101 (2003)

P.K. Maini, E.J. Crampin, A. Madzvamuse, A.J. Wathen and R.D.K. Thomas, Implications of domain growth in morphogenesis, In Mathematical Modelling & Computing in Biology and Medicine, Proceedings 5th ECMTB Conference 2002 (ed. V. Cappasso), 67-73 (2003)

T. Sekimura, A. Madzvamuse, A.J. Wathen and P.K. Maini, Pigmentation pattern formation in the buttery wing of Papilio dardanus, In Mathematical Modelling & Computing in Biology and Medicine, Proceedings 5th ECMTB Conference 2002 (ed. V. Cappasso), 558-563 (2003)

A. Madzvamuse, R.D.K. Thomas, T. Sekimura, A.J. Wathen and P.K. Maini, The moving grid finite element method applied to biological problems, In Morphogenesis and Pattern Formation in Biological Systems: Experiments and Models, Proceedings of Chubu 2002 Conference (T. Sekimura, S. Noji, N. Ueno and P.K. Maini, eds), Springer-Verlag Tokyo, 59-65 (2003)

P.K. Maini, How the mouse got its stripes [Invited Commentary] PNAS, 100, 9656-9657 (2003)

A. Korobeinikov, P.K. Maini and M.J. Walker, Estimation of effective vaccination rate for pertussis in New Zealand J. Theor. Biol., 224, 269-275 (2003)

A. Madzvamuse, A.J. Wathen and P.K. Maini, A moving grid finite element method applied to a model biological pattern generator J. Comp. Phys., 190, 478-500 (2003)

H.F. Nijhout, P.K. Maini, A. Madzvamuse, A.J. Wathen and T. Sekimura, Pigmentation pattern formation in butterflies: experiments and models C.R. Biologies, 326, 717-727 (2003)

A. A. Chernova, J.P. Armitage, H.L. Packer and P.K. Maini, Response kinetics of tethered bacteria to stepwise changes in nutrient concentration BioSystems, 71, 51-59 (2003)

T. Alarcon, H.M. Byrne and P.K. Maini, A cellular automaton model for tumour growth in inhomogeneous environment J. Theor. Biol., 225, 257-274 (2003)

R.E. Baker, S. Schnell, P.K. Maini, Formation of vertebral precursors: Past models and future predictions J. Theor. Med., 5, 23-35 (2003)

A. Korobeinikov and P.K. Maini, A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence, Mathematical Biosciences and Engineering, 1, 57-60 (2004)

P.K. Maini, Using mathematical models to help understand biological pattern formation Comptes Rendus Biologies, 327, 225-234 (2004)

T. Alarcon, H.M. Byrne, P.K. Maini, Towards whole-organ modelling of tumour growth Prog. Biophys and Mol. Biol., 85, 451-472 (2004)

P.K. Maini, S. McElwain, D. Leavesley, Travelling waves in a wound healing assay, Applied Maths Letters, 17, 575-580 (2004)

D. McInerney, S. Schnell, R. Baker, P.K. Maini, A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions, . &Biol., 21, 85-113 (2004)

P.K. Maini, S. McElwain, D. Leavesley, A travelling wave model to interpret a wound healing migration assay for human peritoneal mesothelial cells, Tissue Engineering, 10, 3/4, 475-482 (2004)

T. Alarcon, H.M. Byrne, P.K. Maini, A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells, J. theor. Biol, 229, 395-411 (2004)

P.K. Maini, S. Schnell, S. Jolliffe, Bulletin of Mathematical Biology - facts, figures and comparisons, Bull. Math. Biol., 66, 595-603 (2004)

T. Miura and P.K. Maini, Speed of pattern appearance in reaction-diffusion models: Implications in the pattern formation of limb bud mesenchyme cells, Bull. Math. Biol., 66, 627-649 (2004)

P.K. Maini, The impact of Turing's work on pattern formation in biology, Mathematics Today, 40(4), 140-141 (2004)

T. Miura and P.K. Maini, Periodic pattern formation in reaction-diffusion systems -an introduction for numerical simulation, Ana. Sci. Int. 79(3), 112-123 (2004)

B. Ribba, T. Alarcon, K. Marron, P.K. Maini, Z. Agur, The use of hybrid cellular automaton models for improving cancer therapy, In Proceedings, Cellular Automata: 6th International Conference on Cellular Automata for Research and Industry, ACRI 2004, Amsterdam, The Netherlands, eds P.M.A. Sloot, B. Chopard, A.G. Hoekstra. Lecture Notes in Computer Science, 3305, 444-453 (2004)

P.K. Maini, Foreword, Cellular Automaton Modeling of Biological Pattern Formation, by A. Deutsch and S. Dorman, Birkhauser, vii-viii (2005)

C.J. Bampfylde, N.D. Brown, D.J. Gavaghan and P.K. Maini, The role of small-scale spatial interactions on the coexistence of rain forest species: using neighbourhood techniques and simulation models, J. Agric. Sci., Camb., 142(2), 245 (2004)

D. Hajek, P. Kolar, P.K. Maini, P. Starha, Extracellular volume regulation and growth, Medical Hypotheses, 64(2), 303-306 (2005)

V. Clavez, A. Korobeinikov, P.K. Maini, Cluster formation for multi-strain infections with cross-immunity, J. theor. Biol., 233, 75-83 (2005)

R. Plaza, F. Sanchez-Garduno, P. Padilla, R.A. Barrio, P.K. Maini, The effect of growth and curvature on pattern formation, J Dynamics and Differential Equations, 16(4), 1093-1121 (2004)

B. Ribba, K. Marron, Z. Agur, T. Alarcon, P.K. Maini, A mathematical model of Doxorubicin treatment efficacy on non-Hodgkin’s lymphoma: Investigation of current protocol through theoretical modelling results, Bull.Math.Biol., 67, 79-99 (2005)

T. Alarcon, H.M. Byrne, P.K. Maini, A multiple scale model for tumor growth, Multiscale Model Simul. 3, 440-475 (2005)

M.E. Meyer-Hermann, P.K. Maini, Cutting edge: back to "one-way" germinal centers, J. Immunol. 174, 2489-2493 (2005)

P.K. Maini, Morphogenesis, Biological, Encyclopedia of Nonlinear Science, 587-588 (2005)

K. M. Page, P.K. Maini, N.A.M. Monk, Complex pattern formation in reaction diffusion systems with spatially-varying parameters. Physica D 202, 95-115 (2005)

185. H. Byrne, T.A. Alarcon, P.K. Maini, Cancer modelling: Getting to the heart of the problem, J. Physiol., 561P, SA9.

P.K. Maini, J.C. Dallon, J.A. Sherratt, A multiscale model for collagen alignment in wound healing, J. Physiol., 561P, SA11 [abstract]

T. Alarcon, H.M. Byrne, P.K. Maini, A design principle for vascular beds: the effects of complex blood rheology, Microvasc. Res. 69, 156-172 (2005)

P.R. Cook, M. Hieda, H. Winstanley, P.K. Maini, F.J. Iborra, Different populations of RNA polymerase II in living mammalian cells, Chromosome Res. 13, 135-144 (2005)

K. Smallbone, D.J. Gavaghan, R.A. Gatenby, P.K. Maini, The role of acidity in solid tumour growth and invasion. J.Theor.Biol. 235, 476-484 (2005)

A. Korobeinikov and P.K. Maini, Nonlinear incidence and stability of infectious disease models. Mathematical Med and Biol. 22, 113-128 (2005)

M.E. Meyer-Hermann and P.K. Maini, Interpreting two-photon imaging data of lymphocyte motility, Phys. Rev. E. 71, 061912-1-061912-12 (2005)

A. Madzvamuse, P.K. Maini, A.J. Wathen, A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains, J.Sci.Comput. 24, 247-262 (2005)

C.J. Bampfylde, N.D. Brown, D.J. Gavaghan and P.K. Maini, Modelling rain forest diversity: the role of competition, Ecol. Modell. 188, 253-278 (2005)

C. Li, and P.K. Maini, Complex networks generated by the Penna bit-string model: emergence of small-world and assortative mixing, Phys. Rev. E. 72 045102-1-045102-4 (2005)

C. Li, and P.K. Maini, An evolving network model with community structure, J. Phys. A: Math Gen. 38, 9741-9749 (2005)

N. Bellomo and P.K. Maini Math. Mod. Meth. Appl. S. 15, iii-viii (2005) [Preface]

P.K. Maini and R.A. Gatenby, Some mathematical modelling challenges and approaches in cancer, in Cancer Bioinformatics: From Therapy Design to Treatment, S. Nagl (ed), John Wiley & Sons, Ltd, 95-107 (2006)

R E Baker, S Schnell and P.K. Maini, A mathematical investigation of a clock and wavefront model for somitogenesis, J. Math. Biol. 52, 458-482 (2006)

D. Gavaghan, A. Garny, P.K. Maini, P. Kohl, Mathematical models in physiology, Phil. Trans. R. Soc. A, 364, 1099-1106 [Theme Issue, ``Biomathematical modelling I''] (2006)

T. Alarcon, H.M. Byrne, P.K. Maini, J. Panovska, Mathematical modelling of angiogenesis and vascular adaptation, In, Multidisciplinary Approaches to the Theory of Medicine, R. Paton and L.A. McNamara (eds) [Studies in Multidisciplinarity, Volume 3], Elsevier, 369-387 (2006)

R.E. Baker, S. Schnell, P.K. Maini, A clock and wavefront mechanism for somite formation, Dev. Biol., 293, 116-126 (2006).

P.K. Maini, Editorial, Bull. Math. Biol., 68, 1, 2006

P.K. Maini, T. Alarcon, H.M. Byrne, Modelling aspects of vascular cancer development, In, Biomat 2005, Proceedings of the International Symposium on Mathematical and Computational Biology, R.P. Mondaini and R. Dilao (eds), World Scientific, 1-12 (2006)

C.J. Bampfylde, N.D. Brown, D.J. Gavaghan, P.K. Maini, Achieving coexistence - Comment on "Modelling rain forest diversity:The role of competition" by Bampfylde et al. (2005) [Reply to Letter to the Editor], Ecological Modelling, 195, 407-408 (2006)

S. McDougall, J. Dallon, J. Sherratt, P.K. Maini, Fibroblast migration and collagen deposition during dermal wound healing: mathematical modelling and clinical implications, Phil. Trans. R. Soc. A, 364, 1385-1405 (2006) pdf

H.M. Byrne, T. Alarcon, M.R. Owen, S.D. Webb, P.K. Maini, Modelling aspects of cancer dynamics: a review, Phil. Trans. R. Soc. A, 364, 1563-1578 (2006)

T. Miura, K. Shiota, G. Morriss-Kay, P.K. Maini, Mixed mode pattern in Doublefoot mutant mouse limb - Turing reaction-diffusion model on a growing domain during limb development, J. theor. Biol., 240, 562-573 (2006)

C.M. Chuong, D. Dhouailly, S. Gilmore, L. Forest, W.B. Shelly, K.S. Stenn, P.K Maini, F. Michon, S. Parimoo, S. Cadau, J. Demongeot, Y. Zheng, R. Paus, R. Happle, What is the biological basis of pattern formation of skin lesions? Experimental Dermatology, 15, 547-564 (2006)

Books

1. H.G. Othmer, P.K. Maini, J.D. Murray, (eds) Experimental and Theoretical Advances in Biological Pattern Formation, Plenum Press (1993)

2. P.K. Maini and H.G. Othmer (eds) Mathematical Models for Biological Pattern Formation, in IMA Volumes in Mathematics and its Applications, 121, Springer (2000)

3. T. Sekimura, S. Noji, N. Ueno and P.K. Maini, (eds) Morphogenesis and Pattern Formation in Biological Systems: Experiments and Models, Proceedings of Chubu 2002 Conference, Springer-Verlag Tokyo (2003)

Book Reviews

1. L.G. Harrison, Kinetic Theory of Pattern Formation, C.U.P. 1993, Bull. Math. Biol. 56, 1168-1171 (1994)

2. A. Goldbeter, Biochemical Oscillations and Cellular Rhythms, C.U.P. 1996, Trends in Biochemical Science 21(10), 403 (1996)

3. K.J. Devlin, Life By The Numbers, John Wiley & sons 1998, Naturwissenschaften 86, 150 (1999)

4. N.F. Britton, Essential Mathematical Biology, Springer 2003, Mathematical Medicine and Biology 20, 225-226 (2003)