awarded a CBE for services to mathematics research and development July 2005
I am a Member of
Council of the Biotechnology and Biological Sciences Research Council, 2008-
I am a Member of the MOD's DSAC, 2008-
I was President of
the Institute of Mathematics and its Applications 2006 – 2008.
I was a Member of
Council of the Engineering and Physical Sciences Research Council, and Chair of
EPSRC User Panel, 2000-2004
I was a Member of
the Isaac Newton Institute National Advisory Board, 2004-2010
I received an
Honorary Doctorate from Oxford Brookes University, 2006
Peter Grindrod is
a mathematician working within the commercial sector for over seventeen years,
most recently managing the development and application (and deployment) of
mathematical methods to gain business insights from very large databases for
large customer facing companies.
He has a PhD in the
mathematical analysis reaction diffusion systems, and is the author of a
graduate textbook on pattern formation within medical, biological and chemical
systems, concerning the theory and application of semi-linear parabolic systems.
Graduated in Mathematics from Bristol University
Completed a PhD in mathematics at Dundee University
Held a post doctoral fellowship at Dundee Universty
(1983-85): research in functional analysis, nonlinear dynamical systems,..
Appointed Junior Lecturer in mathematics at the
Mathematical Institute, Oxford University, and Research Fellow at Brasenose
College, Oxford (1985-88): research in nonlinear PDEs.
Held an SRC Advanced Fellowship at Oxford University
(1988-89) working primarily on problems in mathematical ecology, chemistry, and
physiology; developing an eikonal approximation (the geometry and motion of
internal transition layers) approach to problems for excitable reaction
diffusion systems, and problems of multiple fronts within large geochemical
systems. He also lectured on Mathematical Biology including problems with
Joined an international oil sector and environmental
risk management consulting company (1989-98), building up and managing a
mathematical modelling group working on multidisciplinary projects in the UK,
Europe, US and Japan. He was responsible for client development, particularly
within Japan and the EU, developing collaborative and commercial relationships.
His own research ranged from the application of fractals to simulating
subsurface environments (micro medium structure controlling channelling flow and
dispersion phenomena at the macroscopic scale), and non-linear multiphase
(solutes, gases, colloidal) dispersion processes, fully coupled
chemical-temperature–and hydration systems, through to the development of
frameworks for estimating uncertainties within risk assessments, and the
analysis of public risk perception. His work on nonlinear PDEs continues most
recently with results existence symmetry breaking and stability of solutions for
semi-linear parabolic equations with
non-linear boundary conditions. He also developed analytics, based on
state space embedding techniques for time series, for ForEx trading useful to
He was co-founder and Technical Director for a
self-funded start–up company, Numbercraft Limited, (1998-2003) to supply
services and software to commercial sectors: to retail and consumer goods
manufacturing and supply, in particular. The need to extract structure and
information, rapidly, and exhaustively, from large commercial data sets drove
this: there was market pull from almost all data rich retail and consumer goods
companies. Such problems occur within many fields. More and more businesses
collect data on products, customers and transactions, whilst media channels and
communications have become more diverse. The challenge was to derive valuable
insights by interpreting and modelling such data whilst avoiding hypothesis
driven approaches. Numbercraft, differentiated by the excellence in analysis,
worked with all of the major grocery retailers in the UK (Tesco, Sainsbury’s,
ASDA, Safeway, Waitrose, Carrefore, Ahold) and their largest suppliers (Coke,
Pepsi, P&G, Unilever, RBK, Deageo, .. and so on). Numbercraft owned all of the
IP generated through its work and licensed this to third party software and
service providers. Numbercraft, designed to be a five year project, and was
exited on time and completely acquired by Lawson Software (St Paul, US) in 2003.
Head of Lawson Software’s Retail mathematics based
research and technology group (2003-2006), responsible for the specification and
derivation of mathematical algorithms developed and embedded within Lawson’s
Retail InSight software products, and also responsible for managing
mathematicians who consult to major retailers and suppliers within the UK and
Europe. Responsible for the group’s relationships with major retailers in the
US, such as Safeway Inc in CA, and internationally.
Developed range dependent (scale free) graph concepts
applicable to post genome (proteome, metabolome) large interaction data sets.
Introduced the notion of inverse problems as a way of attributing functional
roles to proteins, and developed collaborative (currently EPSRC funded) research
with Bath and Strathclyde universities, and the Beatson Laboratory (Glasgow), to
develop and encourage the use of mathematical methods (spectral theory, maximum
likelihood modelling) in resolving problems associated with complexity and
Assisted Bath’s Mathematics and Engineering group
with strategy and cross theme development for their Critical Mass Complexity
Directed an EPSRC “sandpit” on environmental risks
and their assessment for regulatory purposes, 2006.
Advised on Systems Biology funding through the
He is interested in knowledge transfer and in
particular how to encapsulate and grow value within activities (such as those
within pure science, including mathematics) that are essentially people led. He
chaired the EPSRC’s first Knowledge Transfer Centres funding panel (2006), and
also currently taking part in their Knowledge Transfer Challenge evaluation
Peter has published articles
and refereed papers, when time and confidentiality restrictions permit, the most
recent being in the field of range dependent random graphs and their application
to modelling large small world proteome data sets. He has worked in various
fields including complex system modelling, dynamical systems analysis of
signals, continuous and discrete optimisation and searches, range dependent
graph theory, Bayesian forecasting methods, self tuning Markov models, fuzzy
logic, finite mixture modelling, and so on.
Since 2000 Peter has been engaged with the EPSRC, both as member of Council and
as Chair of the User advisory panel (which goes into much greater depth than
Council). Regular assessment and balance reviews were carried out; whilst this
was a time of considerable changes in the nature of operations for all of the
research Councils, an of course RCUK and OST. In particular the devolvement of
responsibility for doctoral training and knowledge transfer to universities
(DTAs and CTAs); the development of sector management; the funding of adventure
in research, the growth of the life-sciences interface(s) and doctoral training
centres; the development of cross council activities such as GRID,
bioinformatics, energy and basic technology programmes. Peter also saved on the
Wellcome Trust’s Functional Genomics panel, providing a mathematical view on
matter s related to bioinformatics.
KEY AREAS OF EXPERIENCE
Responsibility for client relationships
and technology within the customer insight software suite developed for the
Founded and grew a successful SME to
provide mathematics and software to retail, supply and media sectors. Exited on
plan, on time, with a trade sale.
Innovative applications of mathematics
and related to large corporations and regulators in the financial services,
retail, environmental and government sectors.
Advice for research councils on
strategic opportunities and review (e.g. science programmes, Grid demonstrator
projects; Integrated Knowledge Centres, Critical Mass grants, Systems Biology
grants, Doctoral Training Centre, etc), including membership of EPSRC Council
for five years.
Advice on collaborations with industry,
the development of critical mass groups, and the management of CTAs for
Universities of Bath, Oxford, and Bristol.
Director of successful
multidisciplinary EPSRC IDEAS factory on Risk within Regulatory Assessment for
government stakeholders (FSA, DEFRA, EA, DoH)
8 years experience developing and
managing, internationally competitive consultancy in the environmental sciences,
commerce and industry. Completed leadership and management skills development
5 years of experience in academic
research developing mathematical models and techniques for nonlinear phenomena
in the applied sciences.
Experience of inter-disciplinary
projects involving mathematics in the geochemical, physical and biosciences.
Experience in public and stakeholder
risk perception, and in advising national and international programmes on public
understanding and public engagement concerning perceived risks and benefits of
Authored a graduate text in Mathematics
of pattern formation, and published over 50 peer reviewed scientific papers in
journals as well a very large number of conference proceedings and institutional
technical reports in the US, UK, EU and Japan.
P Grindrod. Patterns and Waves in Reaction-Diffusion: Techniques
and Applications, OUP, 1991; second edition, 1996, Author edition 2007,
Grindrod, P., Higham, D. J., Parsons, M. C. (2011) Evolving
Bistable Networks, in preparation
Grindrod, P., Higham, D. J., Parsons, M. C. and Estrada, E.
(2011) Communicability across evolving networks.<http://centaur.reading.ac.uk/19357/
Physical Review E. ISSN 1539-3755 (In Press)
Grindrod, P. and Higham, D. J. (2010) Evolving graphs:
dynamical models, inverse problems and propagation.<http://centaur.reading.ac.uk/2052/
Proceedings of the Royal Society A: Mathematical, Physical
and Engineering Sciences, 466 (2115). 753-770 . ISSN
Grindrod, P. (2010) Mathematical modelling for the
IMA Journal of Applied Mathematics, Advance Access
published November 8, 2010. ISSN 1464-3634 (In Press)
Grindrod, P. and Higham, D. (2010) Models for Evolving
Networks: with Applications in Telecommunication and
IMA Journal of Management Mathematics. ISSN 1471-678X
Grindrod, P. and Pinotsis, D. (2010) On the spectra of
certain integro-differential-delay problems with
applications in neurodynamics.<http://centaur.reading.ac.uk/15743/
Physica D: Nonlinear Phenomena, 240 (1). pp. 13-20. ISSN
Grindrod, P., Higham, D. J. and Kalna, G. (2010)
IMA Journal of Numerical Analysis, 30 (1). pp. 195-207.
I recently gave a cross school crash course for graduates on
plausible reasoning and various applications of probability theory -
especially to business, cognition, math modelling, dynamical systems:
see Probability Primer lecture notes
Probability Primer V2 .pdf
Mathematics for Commerce & Mathematics for the
Life and Environmental Sciences
Maths for Commerce: analysis of vast databases;
forecasting behaviour; nonlinear time-series; unsupervised learning;
discrimination; inference problems; Bayesian methods; graph theory; networks;
Markov models; stability and error propagation; complexity and organisation;
applications to retail, online/digital economy, retail banking, telecoms...
Maths for Life and Env Sciences: nonlinear PDEs
(usually parabolic systems), ODEs, waves, pattern formation, networks and
graphs, data compression and inference problems; applications to chemistry,
geochemistry, biochemistry, physiology, neurosciences, ecology, epidemiology,
subsurface flow, transport and chemistry...
You can obtain a new edition of my book
Patterns and Waves at
Recent drafts and publications available online:
Grindrod, P. and Higham, D. (2010) Models for Evolving Networks: with
Applications in Telecommunication and Online Activities.<http://centaur.reading.ac.uk/15944/>
IMA Journal of Management Mathematics. ISSN 1471-678X (In Press)
J K Vass, L A Scott-Carragher, G Kalna, D Bakewell,
J J Curto Garcia, P Grindrod, B W Ozanne, D J Higham, 2007. HRas and
drug-resistance expression identity distinct breast cancer patients with poor
Peter Grindrod, Desmond J. Higham, Gabriela Kalna,
Alastair Spence, Zhivko Stoyanov, Keith Vass, DNA Meets the SVD, Mathematics
(see draft dnasvd_august07_rev.pdf )
Grindrod and Elias Tuma, 2007, Some semi-linear parabolic equations with nonlinear flux boundary
conditions, Nonlinearity 20 (2007) 1421-1429.PGET-nolin
Sam Clarke and Peter Grindrod, A Bayesian
estimation of unfolded pitchfork bifurcation structure based upon experimental
data, accepted, to appear IMA Jour Applied Maths bifurcation_structure_Bayes
P Grindrod and E Tuma, 2007, On novel wave front
problems for reaction-advection-mixing systems, conference proceedings for
WAVES07at Reading UK. wavesConference
P Grindrod, Preprint 2007, On models of dispersion at macroscopic scales.
Dispersal and scaling
P Grindrod and F. Reardon, Preprint 2007, On the existence and interaction of
invariant tubes for volume preserving mappings. VPMjan07.pdf.
P Grindrod, D J Higham, J K Vass, A. Spence,2006. Systems biology:
unravelling complex networks? Submitted to Roy Soc Interface Journal, 2006.
and M Kibble, 2004 Review of the uses of network and graph theory concepts within
proteomics, Expert Rev Proteomics, 1(2), 2004. Review.
and D.J. Waters, 2003. Customer centric strategy: success or survival?, Executive
Outlook, Vol.3, Number 4 (December 2003), page 74-81. [This is a journal for
Senior Executives of Retailers and their Vendors/Suppliers]executiveoutlook.pdf
P Grindrod, 2003. Modelling proteome networks with range dependent graphs, Amer. Jour.
of PharmacoGenetics, 3(1), 2003.
2002. Range dependent random graphs and their application to modelling large small
world data sets, Physics Reviews E, 66, 2002.
P Grindrod and E Tuma, Some semi-linear parabolic equations with
non-linear flux boundary conditions, to appear Nonlineraity, 2007.
S Clarke and
P Grindrod, A Bayesian estimation of unfolded pitchfork bifurcation structure
based upon experimental data. To appear in IMA J App Math.
Z, Stoyanov, Analytical and numerical results for entrainment in large networks
of coupled oscillators, Syposium on Network Analysis in Natural Sciences and
Engineering, eds Hiche et al 2006, 33-36. Conference proceedings online:
http://www.cs.bris.ac.uk/Publications/Papers/2000580.pdf and revised paper
and M Kibble, Review of the uses of network and graph theory concepts within
proteomics, Expert Rev Proteomics, 1(2), 2004.
and D.J. Waters, Customer centric strategy: success or survival?, Executive
Outlook, Vol.3, Number 4 (December 2003), page 74-81. [This is a journal for
Senior Executives of Retailers and their Vendors/Suppliers]
P Grindrod, Modelling proteome networks with range dependent graphs, Amer. Jour.
of PharmacoGenetics, 3(1), 2003.
Range dependent random graphs and their application to modelling large small
world data sets, Physics Reviews E, 66, 2002.
P Grindrod, M Peletier and H. Takase, Mechanical interaction between swelling
compacted clay and fractured rock, and leaching of clay colloids, Engineering
Geology, 54 (159-165), 1999
P Grindrod, H Takase, G Wood Modelling solicitation of a clay buffer subject to
opposing temperature and hydration gradients, Engineering Geology, 54 , 215-222,
P Grindrod, Chemical Aspects of the
micro-structural modelling with special emphasis on the use of clays for waste
isolation, Engineering Geology, 54 (1-2):
Grindrod P, Lee A J, Colloid migration in symmetrical non-uniform fractures:
Particle tracking in three dimensions. Journal Of Contaminant Hydrology 27
(3-4): 157-175, 1997
Grindrod P, Takase H, Worgan KJ , A capillary network model for gas migration in
low-permeability media, SIAM Journal On Applied Mathematics 57 (3): 597-608 1997
S P Crompton and P Grindrod, A geometric approach to fingering instabilities for
reaction fronts in fully coupled geochemical systems, IMA Journal of Applied
Maths, 57, 29-40, 1996.
P Grindrod and D J Waters, Quantify risk and anomalous behaviour within
monitoring and investment problems, SRA Europe 1996: Risk in a Modern Society,
Lessons from Europe, SRA, 1996.
P Grindrod, Geometry and motion of sharp fronts within geochemical transport
problems, Proc Royal Society London, A,449, 1995.
P Grindrod, Semi-linear elliptic equations with non-linear boundary conditions:
radial solutions and simple symmetry breaking, IMA Journal of Applied Maths, 54,
P Grindrod, M S Edwards, J J W Higgo and G M Williams, Analysis of Colloid and
Tracer Breakthrough Curves, Journal of Contaminant Hydrology, 21, 1996.
P Grindrod, H Takase, Reactive chemical transport within engineered barriers,
Journal of Contaminant Hydrology, 21, 1996.
P Grindrod. One way blocks in excitable media, Chaos, Solitons and Fractals, 5,
P Grindrod, Finding inference rules from data sets using fuzzy logic, in
Super Strategies for Advanced Technologies in Financial Services, IBC,1995.
P Grindrod, M S Penney and D
J Waters, Inference rules from fuzzy data: the application of a quantitative
model of perception, to appear, IMA Journal of Maths Applied in Business&
Grindrod P A Channel Network Model For Chemical Migration In Subsurface Media,
Mathematical Models & Methods In Applied Sciences 5 (5): 641-657 1995
M D Impey, P Grindrod, Trading on the FX market using chaos theory, in
Intelligent Financial and Business Systems, Conference Proceedings, IBC, 1994
P Grindrod, M D Impey, Channelling and Fickian dispersion in fractal simulated
porous media, Water Resources Research, Vol. 29, No. 12, 4077-4089, 1993.
P Grindrod, The impact of colloids on the migration and dispersal of
radionuclides within fractured rock, Journal of Contaminant Hydrology, 13, 1993.
P Grindrod, Some reactive transport, dispersal and flow problems associated with
geological disposal of radioactive waste, in Ordinary and Partial Differential
Equations, Vol IV, (eds. B.D. Sleeman and R.J. Jarvis), Longman, 1993.
P Grindrod, M A. Lewis and J D Murray, A geometrical approach to wave-type
solutions of excitable reaction-diffusion systems, Proc. Royal Soc. London
Lewis M A,
Grindrod P, One-Way Blocks In Cardiac Tissue - A Mechanism For Propagation
Failure In Purkinje-Fibers, Bulletin Of Mathematical Biology 53 (6): 881-899
Murray JD, Sinha S , Steady-State Spatial Patterns In A Cell-Chemotaxis Model,
IMA Jour Of Mathematics Applied In Medicine And Biology 6 (2): 69-79 1989
P Grindrod, Models of individual aggregation or clustering in single and
multispecies communities, J. Math. Biol., 26, 1989.
P Grindrod and J Gomatam, The geometry and motion of reaction-diffusion waves
on closed two dimensional manifolds, J. Math. Biol., 25, 1987.
Grindrod, 3-Dimensional Waves In Excitable Reaction-Diffusion Systems,
Journal Of Mathematical Biology 25 (6): 611-622 1987
P Grindrod and B P Rynne, Time periodic solutions to semilinear parabolic
equations, Proc. Roy. Soc. Edin., 104A, 1986.
Sleeman B D, Weak Travelling Fronts For Population-Models With Density Dependent
Dispersion, Mathematical Methods In The Applied Sciences
9 (4): 576-586 1987
Sleeman BD, Grindrod P , The Asymptotic-Behavior Of Solutions Of
Belousov-Zhabotinskii Type Reaction-Diffusion Equations, Quarterly Journal Of
Mechanics And Applied Mathematics
403-415 Part 3 1986
P Grindrod and B D Sleeman, A model of a myelinated nerve axon; threshold
behaviour and propagation. J.Math. Biol., 23, 1985.
P Grindrod, A model of a myelinated nerve axon, In: Proceedings of the 8th
Dundee Conference on the Theory of Differential Equations, Lecture Notes in
Mathematics, 1157, Springer, 1985.
P Grindrod, Initial boundary value problems for coupled nerve fibres, Proc.
Edin. Math. Soc., 28, 1985.
Sleeman BD, A Model Of A Myelinated Nerve Axon - Threshold Behaviour And
Propagation, Journal Of Mathematical Biology
(1): 119-135 1985
Grindrod P, Sleeman Bd, Homoclinic
Solutions For Coupled Systems Of Differential-Equations, Proceedings of The
Royal Society Of Edinburgh Section A-Mathematics 99: 319-328 Part 3-4 1985