publications
Stability and Bifurcation Properties of Index-1 DAEs
Numerical Algorithms, 1998
Double singularity-induced bifurcation points and singular Hopf bifurcations
Dynamics and Stability of Systems, 2000
The singularity-induced bifurcation and its Kronecker normal form
SIAM J Matrix Analysis, 2001
An SIB theorem for infinite-dimensional implicit dynamical systems
Proc Royal Soc A, 2001 ... A much simpler proof of the main result of this paper.
this idea was awarded a SIAM student paper prize in 1999
The flow of a DAE near a singular equilibrium
SIAM J Matrix Analysis, 2002
The global structure of a spatial model of infectious disease
Proc Royal Soc A, 2003
Transversality and separation of zeros in second order differential equations
Proc American Math Society, 2003
Trajectories of a DAE near a pseudo-equilibrium
Nonlinearity, 2004
Finite-Time Extinction in Nonlinear Diffusion Equations
Applied Maths Letters, 2004
Sequential and continuum bifurcations in degenerate elliptic equations
Proc American Math Society, 2004
SIAM J Math Analysis, 2005
Classifying the Role of Trade-offs in the Evolutionary Diversity of Pathogens
Proc Royal Soc A, 2006
Algorithms for the Computation of Solutions and Bifurcations of the Ornstein-Zernike equation
Physical Review E, 2006
A Bifurcation Analysis of the Ornstein-Zernike Equation with Hypernetted Chain Closure
Mathematical Analysis and Applications, 2007
A Numerical Bifurcation Analysis of the Ornstein-Zernike equation with Hypernetted Chain Closure
SIAM J Scientific Computation, 2007
Constraints on microbial metabolism drives evolutionary diversification in homogeneous environments
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J.Evolutionary Biology, 2007
Hopf Bifurcations in Singular Differential-Algebraic Equations
Special Issue MATCOM: Structured Dynamical Systems, 2008
Normal Forms, Quasi-Invariant Manifolds and Bifurcations of Nonlinear Difference Algebraic Equations
SIAM J Math Analysis, 2008
Understanding the limits to generalizibility of experimental evolutionary models
Nature, 2008
+ a mathematical companion preprint
Mathematical Biosciences and Engineering, 2010
Rotating Antibiotics Selects Optimally Against Antibiotic Resistance, in Theory
Mathematical Biosciences and Engineering, 2010
PLoS One, 2010
Metabolic Trade-offs and the Maintenance of the Flattest and the Fittest
Nature, 2011
reviewed in Nature Reviews Genetics
Bulletin of Mathematical Biology, 2011
this paper will be announced the winner of the 2012 Lee Segel Prize
And many thanks to Philip Maini for his: Editor’s Choice, 2013
The optimal deployment of synergistic antibiotics: a control-theoretic approach
Royal Society Interface, 2012
PLoS Biology 2013
reviewed in a few places
The form of a trade-off determines the response to competition
Ecology Letters, 2013
Testing the Optimality Properties of a Dual Antibiotic Treatment in a 2-locus, 2-allele model
Royal Society Interface, 2014
Genome Biology and Evolution, 2014
PLoS Biology 2014
Biophysical mechanisms that maintain biodiversity through trade-offs
Nature Communications 2015
Using a Sequential Regimen to Eliminate Bacteria at Sub-Lethal Antibiotic Dosages
PLoS Biology 2015
Evolutionary Applications 2015
Kinase Inhibition Leads to Hormesis in a Dual Phosphorylation-Dephosphorylation Cycle
PLoS Computational Biology 2016
Antibiotic Cycling and Antibiotic Mixing: which one best mitigates antibiotic resistance?
Molecular Biology and Evolution 2017 (Open Access)
The unconstrained evolution of fast efficient and antibiotic resistant bacterial genomes
Nature Ecology and Evolution 2017 - review in Nature E&E - behind the paper
The recent appearance of this article means our data must be accurate! :
Alternative Evolutionary Paths to Bacterial Antibiotic Resistance Cause Distinct Collateral Effects
Molecular Biology and Evolution 2017 (Open Access)
Antibiotic strategies in critical care: back to square one?
Lancet ID, 2018
Antibiotic combination efficacy (ACE) networks for a Pseudomonas aeruginosa model
PLoS Biology 2018
Drug-mediated, metabolic tipping: shifts to antimicrobial resistance in a mixed-species community
Nature Ecology & Evolution 2018
Royal Society Interface 2020
Proceeding Royal Society B 2020
Antibiotic Dosages of Fastest Resistance Evolution: gene amplifications underpinning the inverted U
Molecular Biology and Evolution 2021
Predicting microbial growth dynamics in response to nutrient availability
PLoS Computational Biology 2021
Seeking patterns of antibiotic resistance in ATLAS, an open, raw MIC database with patient metadata
Nature Communications 2022 - Behind the paper community page
Canonical Host-Pathogen Trade-Offs Subverted by Mutations with Dual Benefits
American Naturalist, 2023
Ribosome-binding antibiotics increase bacterial longevity and growth efficiency
PNAS, 2023
Amusing, perhaps not, that Creationists do not believe our paper shows any evidence of evolution (our E.coli did not turn into a man, apparently): this link.
It was (at least for a little while) one of PLoS Biology’s
top 5 viewed papers:
the proof....!
& a mini-tutorial:
reviewed in a few places
This work was funded by an EPSRC Leadership Fellowship in Mathematics
It was then funded by an EPSRC Healthcare Technology Fellowship
It is currently funded by an EPSRC Hub for Quantitative Modelling in Healthcare award
many thanks ...
the modelling work into antibiotics was initially
funded by a Discipline Hopping Award
