Advancing the application of mathematics and statistics in the medical and biological community
Submitting Institution
University of NottinghamUnit of Assessment
Mathematical SciencesSummary Impact Type
HealthResearch Subject Area(s)
Mathematical Sciences: Applied Mathematics
Summary of the impact
Research at The University of Nottingham's (UoN) Centre for Mathematical
Medicine and Biology (CMMB) has informed a wide array of beneficiaries
including public policy-makers, clinicians and industry in biomedical
fields such as cancer and hospital infections. Through a wide range of
mechanisms such as Study Groups, training, outreach and user-engagement,
the CMMB has established an outstanding track record of furthering the use
of mathematics and statistics to address medical and biological problems.
Underpinning research
The CMMB was formally established in 1998 by Professors John King (UoN
1988 to date) and Helen Byrne (UoN 1998 to 2011). It is currently led by
Professor Markus Owen (UoN 2004 to date), and includes 20 academics from
the School of Mathematical Sciences, together with over 50 affiliates
(from the Science, Engineering and Medical Faculties), PDRAs and PGRs. Its
aim is to use mathematical modelling and statistics to understand
biological systems and predict their behaviour, thus underpinning systems
biology in industrial biological and biomedical research. The CMMB is one
of the largest and most successful such groups in the world and has built
up a wide network of active links to end users in clinical and industrial
settings. Applications such as those below, and numerous other medical and
biological areas of research, have served to form a solid foundation for
CMMB outreach and advancement activity.
Cancer: Cancer modelling is a key area that contributed to the
establishment of the CMMB, members including Byrne, King, Owen, John Ward
(PGR and Wellcome Trust Fellow, now at Loughborough) and Steve Webb (PDRA,
now at Liverpool) have undertaken seminal work on multi-phase models for
tumour spheroids and multi-scale models for avascular tumour growth, e.g.
[A1], deepening our understanding of the treatment of cancers including
using a patient's own immune cells to deliver drugs deep inside tumours.
Hospital Infections: The CMMB hosts an internationally-recognised
team working on stochastic epidemic models, including modelling and data
analysis for antibiotic resistant pathogens such as MRSA. Professor Philip
O'Neill (UoN 1999 to date) and Dr Theo Kypraios (UoN 2006 to date) have
worked with colleagues at the former Health Protection Agency (now Public
Health England) and clinical academic colleagues in the USA (e.g. Dr Susan
Huang, School of Medicine, University of California, Irvine) [A2] and UK
(e.g. Dr Jonathan Edgeworth, Guys' and St Thomas' Hospital Trust, London)
[A3] to address questions pertinent to the understanding and control of
hospital infections. Recent work by King, Dr Sara Jabbari (PGR, PDRA and
MRC Fellow, now at Birmingham) and co-workers pioneered a systems biology
approach (combining cutting-edge experimental work and computational
modelling and analysis) to accelerate our understanding of e.g.
Staphylococcus aureus and Clostridium difficile (see e.g. 2012 Bulletin of
Mathematical Biology, 74, 1292-1325).
Neuroscience: Professor Stephen Coombes (UoN 2003 to date) has
enabled the CMMB to gain recognition as an internationally leading centre
for mathematical and computational neuroscience. Coombes is active in
translating ideas toward application, in fostering collaborations with a
range of disciplines including Psychology, Engineering and clinical groups
e.g. Radiology, and in leading an EC-funded Marie Curie Initial Training
Network in Neural Engineering [A8] which is training 20 early career
researchers across Europe. Underpinning works include using tools from
nonlinear dynamical systems to understand auditory encoding of natural
sounds [A4], on the back of which work Jonathan Laudanski (PGR, 2006-2010)
gained employment as a research scientist for Neurelec developing cochlear
implants.
Plants: CMMB members began collaboration with Professor Malcolm
Bennett (Biosciences, UoN 1999 to date) in 2006 on modelling for plant
biology (Arabidopsis roots). This led to a grant [A7] to establish the
Centre for Plant Integrative Biology (CPIB) in 2007. A combination of
multiscale modelling and statistical inference has proved ideally suited
to tackling a wide variety of problems in this field, from how hormone
dynamics create root branches through seed germination and plant
fertility, to understanding how tomatoes ripen. Underpinning works include
[A5].
References to the research
The three publications that best indicate the quality of the research are
indicated *
Cancer:
[A1]* Ward, J.P. and King, J.R., 1997. Mathematical modelling of
avascular-tumour growth, IMA Journal of Mathematics Applied in Medicine
and Biology [now Mathematical Medicine and Biology: A Journal of the IMA].
14(1), 39-69. DOI: 10.1093/imammb/14.1.39
Its impact includes via inclusion amongst the `100 seminal papers' as
part of the centenary of Oxford University Press in 2006. http://www.oxfordjournals.org/news/centenary.html
Hospital Infections:
[A2]* Kypraios, T., O'Neill, P.D., Huang, S.S., Rifas-Shiman, S.L.
and Cooper, B.S., 2010. Assessing the role of undetected colonization and
isolation precautions in reducing Methicillin-Resistant Staphylococcus
aureus transmission in intensive care units, BMC Infectious Diseases. 10,
29. DOI: 10.1186/1471-2334-10-29
[A3] Kypraios, T., O'Neill, P.D., Jones, D.E., Ware, J., Batra,
R., Edgeworth, J.D. and Cooper, B.S., 2011. Effect of systemic antibiotics
and topical chlorhexidine on methicillin-resistant Staphylococcus aureus
(MRSA) carriage in intensive care unit patients. Journal of Hospital
Infection 7, 222-226. DOI: 10.1016/j.jhin.2011.05.008
Neuroscience:
[A4] Laudanski, J., Coombes, S., Palmer, A. R. and Sumner, C. J.,
2010. Mode-locked spike trains in responses of ventral cochlear nucleus
chopper and onset neurons to periodic stimuli. Journal of Neurophysiology.
103, 1226-1237. DOI: 10.1152/jn.00070.2009.
Plants:
[A5]* Middleton, A.M., King, J.R., Bennett, M.J. and Owen, M.R.,
2010. Mathematical modelling of the Aux/IAA negative feedback loop.
Bulletin of Mathematical Biology. 72(6), 1383-1407. DOI:
10.1007/s11538-009-9497-4.
Grants:
[A6] (2006-2010) EC FP6 project 20723, Marie Curie Training
Programme: MMBNOTT — Mathematical Medicine and Biology at Nottingham, PI
Jensen, €1.7m.
[A7] (2007-2012) BBSRC project BB/D019613/1, Centre for Plant
Integrative Biology, PI Hodgman, Biosciences, Nottingham; 20 Co-Is
including Byrne, Dryden, Jensen, King, Owen, Wood from Mathematical
Sciences, £9.2m.
[A8] (2012-2016) EC FP7 project 289146, Marie Curie Initial
Training Network: NETT — Neural Engineering Transformative Technologies,
PI Coombes, €5.3m.
Details of the impact
CMMB established and has utilised a number of distinct mechanisms to
increase the visibility and uptake of mathematical and statistical methods
in medical and biological problems. These include:
Industrial skills development through training courses and Study
Groups: The BBSRC Modular Training for Industry course `Introduction
to Mathematical Modelling for Life Scientists' from 2008, the `Noise in
Life' conference in 2009 and the `Introduction to Biological Modelling'
summer schools led by Owen have all been well received by industry. Ian
Barrett (Astra Zeneca): "...I am actually currently leading a project
using modelling to support one of our drug projects... and also line
manage a mathematical modeller. I would say your course was an important
factor in enabling that progression, and I came away from it feeling
inspired to learn more." [B1]. Owen was further consulted by Roche
regarding the implementation of multiscale modelling for oncology (from
molecular targets right up to patient health and survival).
CMMB members established Study Groups for Mathematics in Medicine (MMSG)
in 2000, for Plant Sciences in 2007 and for the Virtual Physiological
Human in 2009. These engendered new industrial collaborations (e.g.
AstraZeneca, Health and Safety Laboratory, Pfizer, Syngenta, Unilever) and
changed company procedures. Unilever ran an internal Study Group
(Facilitator: King), with Brendan O'Malley (ex-Systems Biology Project
Leader, Unilever) stating: "Critically the Study Group also
offered an opportunity to familiarise both mathematicians and biologists
with the different approaches and ways of working of their respective
disciplines". [B2]
This and other activity (CASE, MSc project, consulting) contributed to
Unilever's Framework Partnership with the University (tinyurl.com/d8dypj8),
one of only three in the UK, to carry out research in certain strategic
areas exclusively at UoN.
Postgraduate and postdoctoral training: Through extensive
mathematical biology MSc and PhD programmes (the latter with support from
European funding [A6, A8]), internships of students with industry (via
e.g. CASE or [A8]) and tailored training in both scientific and
professional development skills, individuals trained within CMMB have made
significant contributions to the adoption of UoN's mathematical and
statistical methods by industry and other end users:
Robert Jenkins (CRUK), the first theoretician recruited by CRUK with a
background purely in mathematics, stated that: "...the expertise I
developed there [CMMB] was crucial to my being awarded a permanent
contract as a Senior Scientific Officer at the London Research
Institute, which reflects the growing profile and impact of mechanistic
modelling approaches within CRUK's research and the increasing
confidence in their value for improving our understanding of a wide
range of cancers." [B3];
Greg Lemon (Fellow at Harvard Bioscience, PDRA in CMMB until 2011 and
recent collaborator) applies mathematical modelling frameworks and skills
he developed while in CMMB in work with Harvard Apparatus (USA), Novalung
(Germany) and others to (for example) optimise performance of a membrane
oxygenator for paracorporeal lung support, and to quantify cell coverage
of tissue engineering scaffolds in a patent for a novel colorimetric
assay;
Susan Franks (Health and Safety Laboratory) also benefitted: "My own
training as a PhD student and postdoctoral student within CMMB
(1997-2004) was instrumental in the formulation, and in establishing the
direction, of a significant (c. £900K) programme of work (of which I was
lead Investigator) funded by HSL to enhance their capabilities in using
mathematical modelling..." [B4].
Public engagement and widening dissemination: CMMB engages
extensively with a wider public audience, including through: YouTube 2009
`Meet the Mathematicians' (tinyurl.com/db2q72),
77k visitors with 97% positive feedback, `Biology Meets Mathematics' (tinyurl.com/ox28q26),
31k visitors with 95% positive feedback; outreach activities with CPIB in
local primary schools to stimulate interest from an early age; and the
annual UoN `MayFest' community open day where CMMB and CPIB ran a
multicellular image competition judged by the public.
A drive by CMMB and the School more broadly to publish in prestigious and
highly visible outlets, such as Nature and PNAS, has raised the profile
and coverage of our research. CMMB papers have been cited by numerous
clinical groups, such as Bart's in London, Mt. Sinai Hospital in Toronto
and Shanghai Peoples Hospital in areas such as allergy, cardiology, gene
therapy, microbiology, oncology and wound repair, as well as industry,
e.g. AstraZeneca, GSK, Pfizer, Roche and Unilever. In particular, [A2] has
been cited by cardiac surgeons, epidemiologists and infectious disease
units in hospitals, microbiologists, the Health Protection Agency (now
Public Health England) and the Health Policy Research Institute in
California: this publication in a BMC journal read by clinicians and
policy-makers has led to impact on public health policy (see below).
Two specific examples detailed below further illustrate the scope of the
impact of CMMB's work:
Software development for clinical and industrial use: UoN work in
the late 1990s on tumour growth (e.g. [A1]) inspired a topic at the first
MMSG in 2000, on the effects of a new anti-tumour drug. This was taken
further with Sheffield Medical School and led to a patent filed in 2007
and published in 2009 (tinyurl.com/kdnhb3d).
Following this and similar successes, CMMB members made founding
contributions to the open source C++ library for computational biology
`Chaste' (Cancer Heart and Soft Tissue Environment), UoN leading the
cancer strand on the EPSRC grant eScience Pilot Project in Integrative
Biology, GR/S72023/01, 2004-2008 that funded UoN researchers Inge
van Leeuwen, Gary Mirams and Alex Walter. Mirams, now at Oxford, continued
to work on Chaste with academic and industrial partners, participating in
producing the first public release in 2009.
A 2013 review prepared in collaboration with partners such as Microsoft
Research UK and Fujitsu Laboratories of Europe Ltd stated: "A number
of other groups are using Chaste for a large variety of simulations...
the effects of radiation on tissue (Shaowen Hu, NASA); ...cardiac
electrophysiological modelling (US Food and Drug Administration);
drug-induced changes to cardiac rhythm (Safety Pharmacology,
GlaxoSmithKline)..." [B5]. Mirams adds that: "A Chaste
simulation tool is now in use by GlaxoSmithKline Safety Pharmacology
teams in the UK and USA. ... A recent paper [B7] evaluates how well this
tool predicts the results of later animal-based safety tests that are
performed at GlaxoSmithKline with a view to 3Rs benefits." and
further that: "This work has led directly to the US drug regulators
(Food & Drug Administration, FDA) including a simulation aspect in
their proposed replacement for an expensive ... human trial for
pro-arrhythmic side effects ..." [B6]
Influence on public health policy: Work undertaken by O'Neill and
Kypraios on MRSA stimulated UK Government policy debate and led to a
review of the current screening policy. Dr Julie Robotham (Public Health
England) stated: "...your [Kypraios'] work directly informed the
model-based evaluation of MRSA control policies, undertaken for the
Department of Health (DoH), England" and "... [A2] was critical in that
it represented the only study able to provide direct estimates of the
effectiveness of contact precautions in reducing MRSA transmission...it
enables the national policy of MRSA screening to be evaluated with more
realistic estimates of how much benefit MRSA screening can actually
provide." [B8].
The research suggested that the current national MRSA screening policy in
England was unlikely to be cost-effective [B9]. Whilst a change in policy
itself is still under discussion with the DoH, Robotham stated that this
finding: "generated discussions both nationally ... and
internationally ..." and moreover caused the DoH to commission "...
a direct follow on to this work such that a cost-effectiveness
evaluation at a national level, including a national MRSA audit, could
be conducted. This follow on project, whilst using previous estimates,
also used more up-to-date estimates, including estimates taken directly
from your study Estimating the effectiveness of isolation and
decolonization measures in reducing transmission of
methicillin-resistant Staphylococcus aureus in hospital general wards.
Worby CJ,[et al.] Am J Epidemiol. 2013 Jun 1;177(11):1306-13. doi:
10.1093/aje/kws380. Again, these estimates represented the best
available evidence, and directly informed the cost-effectiveness model."
In addition, Kypraios presented his work on avian influenza (to model and
predict in real-time spread of a potential epidemic in the UK poultry
industry) to Professor Sir John Beddington as UK Government Chief
Scientific Adviser 2008-2013.
Sources to corroborate the impact
[B1] Associate Principal Scientist, Astra Zeneca, UK. (email on
file)
[B2] European Study Group with Industry 59 Case Study with
Unilever — webpage www.smithinst.ac.uk/Events/ESGI59/CaseStudy
(copy also on file)
[B3] Senior Scientific Officer, Cancer Research UK London Research
Institute, UK. (email on file)
[B4] Group Leader in Biomathematical Modelling, Health and Safety
Laboratory, UK. (email on file)
[B5] Mirams, G.R. et al., 2013, Chaste: an open source C++ library
for computational physiology and biology, PLoS Computational Biology,
9(3), e1002970. DOI:10.1371/journal.pcbi.1002970
[B6] Senior Research Fellow, Dept. of Computer Science, University
of Oxford, UK. (email on file)
[B7] Beattie, K.A. et al., Evaluation of an In Silico Cardiac
Safety Assay: Using Ion Channel Screening Data to Predict QT Interval
Changes in the Rabbit Ventricular Wedge, Journal of Pharmacological and
Toxicological Methods, 68(1), 88-96. DOI:10.1016/j.vascn.2013.04.004
[B8] Modelling and Economics Unit, Public Health England, UK.
(email on file)
[B9] The Department of Health-commissioned report `National One
Week Prevalence Audit of MRSA Screening' (copy on file)