# Profile

# Professor Robert Beardmore

## Professor of Mathematical Biosciences and EPSRC Healthcare Technology Impact Fellow

**5839**

**Living Systems Institute T05.13**

**Living Systems Institute, University of Exeter, Stocker Road, Exeter, EX4 4QD**

## Overview

1998 SIAM Student Prize, presented Toronto 1999

2012 Lee Segel Prize (shared), presented Arizona 2013

EPSRC Leadership Fellow, 2010-2015

EPSRC Healthcare Technology Impact Fellow, 2016-2018

### Qualifications

BSc (1st Class) Edinburgh University 1990-1994

MSc Nonlinear Mathematics, Bath University 1994-1995

PhD Engineering Mathematics, Bath University 1997-2000

### Career

Defence-related Project Engineer (satellite imaging), SEA Ltd, Beckington Castle, Frome, 1995-1996

Lecturer in Mathematics, Imperial College London, 2000-2005

Senior Lecturer in Mathematics, Imperial College London, 2005-2008

Reader in Mathematics, Imperial College London, 2008-2010

Professor Mathematical Biosciences, EPSRC Leadership Research Fellow 2010

EPSRC Healthcare Technology Impact Fellow 2016-2018

### Links

### Research group links

## Research

### Research interests

- Mathematical modelling of evolutionary datasets, particularly relating to antibiotic resistance
- Mathematical analysis of differential-algebraic equations
- Applications of mathematical analysis/computation to evolutionary biology and physics

### Research projects

- Applying fluids DFT to understand the action and dose-dependence of antimicrobial peptides (with Laurie Frink)
- Understanding complete viral (phage) resistance in E.coli (with Justin Meyer)
- Using optimisation theory as a basis to model optimal antibiotic use (with Hinrich Schulenberg)

### Research networks

EPSRC-funded Mathematical Models and Experimental Microbial Systems (www.mmems.org)

### Research grants

**2012***EPSRC*

Developing Leaders award (value £315,000)**2012***EPSRC*

Creativity @ Home award (value £20,000)**2010***EPSRC*

Leadership Fellowship on the application of mathematical modelling to the study of antibiotic resistance evolution (value £1,139,110)**2010***EPSRC*

Cross-Disciplinary Enhancement to Leadership Fellowship: funding to take theoretical research into the lab (value £100,000)**2009***MRC*

Discipline Hopping Fellowship: Applications of Control Theory to Optimal Antibiotic Deployment (value £110,000)**2002***EPSRC*

Funded Two PDRAs on the Invariant Manifolds of Differential-Algebraic Equations (value £123,000)

### Links

## Publications

Key publications | Publications by category | Publications by year

### Key publications

**Fuentes-Hernandez A, Plucain J, Gori F, Pena-Miller R, Reding C, Jansen G, Schulenburg H, Gudelj I, Beardmore R**(2015). Using a sequential regimen to eliminate bacteria at sublethal antibiotic dosages.

*PLoS Biol*,

*13*(4). Abstract. Author URL. Full text.

**Beardmore RE, Pena-Miller R, Laehnemann D, Jansen G, Fuentes-Hernandez A, Rosenstiel P, Schulenburg H**(2013). When the most potent combination of antibiotics selects for the greatest bacterial load: the Smile-Frown transition.

*PLoS Biology*,

*11*(4), 1-13. Full text.

**Peña-Miller R, Lähnemann D, Schulenburg H, Ackermann M, Beardmore R**(2012). Selecting against antibiotic-resistant pathogens: optimal treatments in the presence of commensal bacteria.

*Bull Math Biol*,

*74*(4), 908-934. Abstract. Author URL.

**Peña-Miller R, Lähnemann D, Schulenburg H, Ackermann M, Beardmore R**(2012). The optimal deployment of synergistic antibiotics: a control-theoretic approach.

*J R Soc Interface*,

*9*(75), 2488-2502. Abstract. Author URL.

**Beardmore RE, Gudelj I, Lipson DA, Hurst LD**(2011). Metabolic trade-offs and the maintenance of the fittest and the flattest.

*Nature*,

*472*(7343), 342-346. Abstract. Author URL. Full text.

**Beardmore R, Webster K**(2008). Normal forms, quasi-invariant manifolds, and bifurcations of nonlinear difference-algebraic equations.

*SIAM Journal on Mathematical Analysis*,

*40*(1), 413-441. Abstract.

### Publications by category

### Journal articles

**Reding C, Hewlett M, Bergmiller T, Gudelj I, Beardmore R**(In Press). Fluorescence photography of patterns and waves of bacterial adaptation at high antibiotic doses. Abstract.

**Beardmore R, Gudelj I, Reding C, Wood E, Bergmiller T, Schulenberg H, Philip R, Catalan P**(In Press). The Antibiotic Dosage of Fastest Resistance Evolution: gene amplifications underpinning the inverted-U.

*Molecular Biology and Evolution*Full text.

**Nev OA, Lindsay RJ, Jepson A, Butt L, Beardmore RE, Gudelj I**(2021). Predicting microbial growth dynamics in response to nutrient availability.

*PLoS Comput Biol*,

*17*(3). Abstract. Author URL.

**Duxbury SJN, Bates S, Beardmore RE, Gudelj I**(2020). Evolution of drug-resistant and virulent small colonies in phenotypically diverse populations of the human fungal pathogen. Candida glabrata.

*Proceedings of the Royal Society B: Biological Sciences*,

*287*(1931), 20200761-20200761. Abstract. Full text.

**Nev OA, Jepson A, Beardmore RE, Gudelj I**(2020). Predicting community dynamics of antibiotic-sensitive and -resistant species in fluctuating environments.

*J R Soc Interface*,

*17*(166). Abstract. Author URL. Full text.

**Barbosa C, Beardmore R, Schulenburg H, Jansen G**(2018). Antibiotic combination efficacy (ACE) networks for a Pseudomonas aeruginosa model.

*PLoS Biol*,

*16*(4). Abstract. Author URL. Full text.

**Schuetz P, Beardmore RE**(2018). Antibiotic strategies in critical care: back to square one?.

*Lancet Infect Dis*,

*18*(4), 360-361. Author URL.

**Beardmore RE, Cook E, Nilsson S, Smith AR, Tillmann A, Esquivel BD, Haynes K, Gow NAR, Brown AJP, White TC, et al**(2018). Drug-mediated metabolic tipping between antibiotic resistant states in a mixed-species community.

*Nat Ecol Evol*,

*2*(8), 1312-1320. Abstract. Author URL. Full text.

**Beardmore RE, Cook E, Nilsson S, Smith AR, Tillmann A, Esquivel BD, Haynes K, Gow NAR, Brown AJP, White TC, et al**(2018). Erratum to: Drug-mediated metabolic tipping between antibiotic resistant states in a mixed-species community (Nature Ecology & Evolution, (2018), 2, 8, (1312-1320), 10.1038/s41559-018-0582-7).

*Nature Ecology and Evolution*,

*2*(11). Abstract.

**Barbosa C, Trebosc V, Kemmer C, Rosenstiel P, Beardmore R, Schulenburg H, Jansen G**(2017). Alternative Evolutionary Paths to Bacterial Antibiotic Resistance Cause Distinct Collateral Effects.

*Mol Biol Evol*,

*34*(9), 2229-2244. Abstract. Author URL. Full text.

**Beardmore RE, Peña-Miller R, Gori F, Iredell J**(2017). Antibiotic Cycling and Antibiotic Mixing: Which One Best Mitigates Antibiotic Resistance?.

*Mol Biol Evol*,

*34*(4), 802-817. Abstract. Author URL. Full text.

**Reding-Roman C, Hewlett M, Duxbury S, Gori F, Gudelj I, Beardmore R**(2017). The unconstrained evolution of fast and efficient antibiotic-resistant bacterial genomes.

*Nature Ecology & Evolution*,

*1*(3). Full text.

**Rashkov P, Barrett IP, Beardmore RE, Bendtsen C, Gudelj I**(2016). Kinase Inhibition Leads to Hormesis in a Dual Phosphorylation-Dephosphorylation Cycle.

*PLoS Comput Biol*,

*12*(11). Abstract. Author URL. Full text.

**Meyer JR, Gudelj I, Beardmore R**(2015). Biophysical mechanisms that maintain biodiversity through trade-offs.

*Nat Commun*,

*6*Abstract. Author URL. Full text.

**Roemhild R, Barbosa C, Beardmore RE, Jansen G, Schulenburg H**(2015). Temporal variation in antibiotic environments slows down resistance evolution in pathogenic Pseudomonas aeruginosa.

*Evolutionary Applications*Abstract.

**Roemhild R, Barbosa C, Beardmore RE, Jansen G, Schulenburg H**(2015). Temporal variation in antibiotic environments slows down resistance evolution in pathogenic Pseudomonas aeruginosa.

*Evolutionary Applications*,

*8*(10), 945-955. Abstract.

**Fuentes-Hernandez A, Plucain J, Gori F, Pena-Miller R, Reding C, Jansen G, Schulenburg H, Gudelj I, Beardmore R**(2015). Using a sequential regimen to eliminate bacteria at sublethal antibiotic dosages.

*PLoS Biol*,

*13*(4). Abstract. Author URL. Full text.

**Arnoldini M, Vizcarra IA, Peña-Miller R, Stocker N, Diard M, Vogel V, Beardmore RE, Hardt W-D, Ackermann M**(2014). Bistable expression of virulence genes in salmonella leads to the formation of an antibiotic-tolerant subpopulation.

*PLoS Biol*,

*12*(8). Abstract. Author URL.

**Laehnemann D, Peña-Miller R, Rosenstiel P, Beardmore R, Jansen G, Schulenburg H**(2014). Genomics of rapid adaptation to antibiotics: convergent evolution and scalable sequence amplification.

*Genome Biol Evol*,

*6*(6), 1287-1301. Abstract. Author URL.

**Peña-Miller R, Fuentes-Hernandez A, Reding C, Gudelj I, Beardmore R**(2014). Testing the optimality properties of a dual antibiotic treatment in a two-locus, two-allele model.

*J R Soc Interface*,

*11*(96). Abstract. Author URL.

**Maharjan R, Nilsson S, Sung J, Haynes K, Beardmore RE, Hurst LD, Ferenci T, Gudelj I**(2013). The form of a trade-off determines the response to competition.

*Ecology Letters*,

*16*(10), 1267-1276. Abstract.

**Maharjan R, Nilsson S, Sung J, Haynes K, Beardmore RE, Hurst LD, Ferenci T, Gudelj I**(2013). The form of a trade-off determines the response to competition.

*Ecol Lett*,

*16*(10), 1267-1276. Abstract. Author URL.

**Beardmore RE, Pena-Miller R, Laehnemann D, Jansen G, Fuentes-Hernandez A, Rosenstiel P, Schulenburg H**(2013). When the most potent combination of antibiotics selects for the greatest bacterial load: the Smile-Frown transition.

*PLoS Biology*,

*11*(4), 1-13. Full text.

**Peña-Miller R, Lähnemann D, Schulenburg H, Ackermann M, Beardmore R**(2012). Selecting against antibiotic-resistant pathogens: optimal treatments in the presence of commensal bacteria.

*Bull Math Biol*,

*74*(4), 908-934. Abstract. Author URL.

**Peña-Miller R, Lähnemann D, Schulenburg H, Ackermann M, Beardmore R**(2012). The optimal deployment of synergistic antibiotics: a control-theoretic approach.

*J R Soc Interface*,

*9*(75), 2488-2502. Abstract. Author URL.

**Beardmore RE, Gudelj I, Lipson DA, Hurst LD**(2011). Metabolic trade-offs and the maintenance of the fittest and the flattest.

*Nature*,

*472*(7343), 342-346. Abstract. Author URL. Full text.

**Beardmore RE, Pena-Miller R**(2010). Antibiotic cycling versus mixing: the difficulty of using mathematical models to definitively quantify their relative merits.

*Math Biosci Eng*,

*7*(4), 923-933. Abstract. Author URL. Full text.

**Peters R, Beckett N, Beardmore R, Peña-Miller R, Rockwood K, Mitnitski A, Mt-Isa S, Bulpitt C**(2010). Modelling cognitive decline in the Hypertension in the Very Elderly Trial [HYVET] and proposed risk tables for population use.

*PLoS One*,

*5*(7). Abstract. Author URL.

**Beardmore RE, Peña-Miller R**(2010). Rotating antibiotics selects optimally against antibiotic resistance, in theory.

*Math Biosci Eng*,

*7*(3), 527-552. Abstract. Author URL. Full text.

**Beardmore R, Webster K**(2008). Normal forms, quasi-invariant manifolds, and bifurcations of nonlinear difference-algebraic equations.

*SIAM Journal on Mathematical Analysis*,

*40*(1), 413-441. Abstract.

**Forde SE, Beardmore RE, Gudelj I, Arkin SS, Thompson JN, Hurst LD**(2008). Understanding the limits to generalizability of experimental evolutionary models.

*Nature*,

*455*(7210), 220-223. Abstract. Author URL. Full text.

**Beardmore RE, Peplow A**(2007). A bifurcation analysis of the Ornstein-Zernike equation with hypernetted chain closure.

*Journal of Mathematical Analysis and Applications*,

*333*(2), 919-942. Abstract.

**Beardmore RE, Peplow AT, Bresme F**(2007). A numerical bifurcation analysis of the ornstein-zernike equation with hypernetted chain closure.

*SIAM Journal on Scientific Computing*,

*29*(6), 2442-2463. Abstract.

**Gudelj I, Beardmore RE, Arkin SS, MacLean RC**(2007). Constraints on microbial metabolism drive evolutionary diversification in homogeneous environments.

*J Evol Biol*,

*20*(5), 1882-1889. Abstract. Author URL.

**Peplow AT, Beardmore RE, Bresme F**(2006). Algorithms for the computation of solutions of the Ornstein-Zernike equation.

*Phys Rev E Stat Nonlin Soft Matter Phys*,

*74*(4 Pt 2). Abstract. Author URL.

**Gudelj I, Coman CD, Beardmore RE**(2006). Classifying the role of trade-offs in the evolutionary diversity of pathogens.

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,

*462*(2065), 97-116. Abstract.

**Beardmore RE, Peletier MA, Budd CJ, Wadee MA**(2005). Bifurcations of periodic solutions satisfying the zero-Hamiltonian constraint in reversible differential equations.

*SIAM Journal on Mathematical Analysis*,

*36*(5), 1461-1488. Abstract.

**Laister R, Peplow AT, Beardmore RE**(2004). Finite time extinction in nonlinear diffusion equations.

*Applied Mathematics Letters*,

*17*(5), 561-567. Abstract.

**Laister R, Peplow AT, Beardmore RE**(2004). Finite time extinction in nonlinear diffusion equations.

*Applied Mathematics Letters*,

*17*(6), 561-567. Abstract.

**Beardmore RE, Laister R**(2004). Sequential and continuum bifurcations in degenerate elliptic equations.

*Proceedings of the American Mathematical Society*,

*132*(1), 165-174. Abstract.

**Beardmore RE, Laister R, Peplow A**(2004). Trajectories of a DAE near a pseudo-equilibrium.

*Nonlinearity*,

*17*(1), 253-279. Abstract.

**Beardmore RE, Laister R**(2003). The flow of a DAE near a singular equilibrium.

*SIAM Journal on Matrix Analysis and Applications*,

*24*(1), 106-120. Abstract.

**Beardmore I, Beardmore R**(2003). The global structure of a spatial model of infectious disease.

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,

*459*(2034), 1427-1448. Abstract.

**Laister R, Beardmore RE**(2003). Transversality and separation of zeros in second order differential equations.

*Proceedings of the American Mathematical Society*,

*131*(1), 209-218. Abstract.

**Beardmore RE**(2002). The singularity-induced bifurcation and its Kronecker normal form.

*SIAM Journal on Matrix Analysis and Applications*,

*23*(1), 126-137. Abstract.

**Beardmore RE**(2001). A singularity-induced bifurcation theorem for infinite-dimensional implicit dynamical systems.

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,

*457*(2010), 1295-1305. Abstract.

**Beardmore RE**(2000). Double singularity-induced bifurcation points and singular Hopf bifurcations.

*Dynamical Systems*,

*15*(4), 319-342. Abstract.

**Beardmore RE, Song YH**(1998). Differential-algebraic equations: a tutorial review.

*International Journal of Bifurcation and Chaos in Applied Sciences and Engineering*,

*8*(7), 1399-1411. Abstract.

**Beardmore RE**(1998). Stability and bifurcation properties of index-1 DAEs.

*Numerical Algorithms*,

*19*(1-4), 43-53. Abstract.

### Conferences

**Beardmore R, Webster K**(2008). A Hopf bifurcation theorem for singular differential-algebraic equations. Abstract.

**Laister R, Beardmore RE**(2005). Bifurcations in degenerate elliptic equations. Author URL.

### Publications by year

### In Press

**Reding C, Hewlett M, Bergmiller T, Gudelj I, Beardmore R**(In Press). Fluorescence photography of patterns and waves of bacterial adaptation at high antibiotic doses. Abstract.

**Beardmore R, Gudelj I, Reding C, Wood E, Bergmiller T, Schulenberg H, Philip R, Catalan P**(In Press). The Antibiotic Dosage of Fastest Resistance Evolution: gene amplifications underpinning the inverted-U.

*Molecular Biology and Evolution*Full text.

### 2021

**Nev OA, Lindsay RJ, Jepson A, Butt L, Beardmore RE, Gudelj I**(2021). Predicting microbial growth dynamics in response to nutrient availability.

*PLoS Comput Biol*,

*17*(3). Abstract. Author URL.

### 2020

**Duxbury SJN, Bates S, Beardmore RE, Gudelj I**(2020). Evolution of drug-resistant and virulent small colonies in phenotypically diverse populations of the human fungal pathogen. Candida glabrata.

*Proceedings of the Royal Society B: Biological Sciences*,

*287*(1931), 20200761-20200761. Abstract. Full text.

**Nev O, Jepson A, Beardmore R, Gudelj I**(2020). Predicting community dynamics of antibiotic sensitive and resistant species in fluctuating environments (dataset).

*Journal of the Royal Society Interface*Full text.

**Nev OA, Jepson A, Beardmore RE, Gudelj I**(2020). Predicting community dynamics of antibiotic-sensitive and -resistant species in fluctuating environments.

*J R Soc Interface*,

*17*(166). Abstract. Author URL. Full text.

**Nev O, Jepson A, Butt L, Lindsay R, Beardmore R, Gudelj I**(2020). Raw growth data for the manuscript Predicting microbial growth dynamics in changing environments.

### 2019

**Tonneau C**(2019). Host-pathogen-drug interactions in the context of antibiotic resistance: How host xenobiotic metabolism can affect antibiotic efficacy in a Methicillin-Resistant Staphylococcus aureus infection. Abstract. Full text.

### 2018

**Barbosa C, Beardmore R, Schulenburg H, Jansen G**(2018). Antibiotic combination efficacy (ACE) networks for a Pseudomonas aeruginosa model.

*PLoS Biol*,

*16*(4). Abstract. Author URL. Full text.

**Schuetz P, Beardmore RE**(2018). Antibiotic strategies in critical care: back to square one?.

*Lancet Infect Dis*,

*18*(4), 360-361. Author URL.

**Beardmore RE, Cook E, Nilsson S, Smith AR, Tillmann A, Esquivel BD, Haynes K, Gow NAR, Brown AJP, White TC, et al**(2018). Drug-mediated metabolic tipping between antibiotic resistant states in a mixed-species community.

*Nat Ecol Evol*,

*2*(8), 1312-1320. Abstract. Author URL. Full text.

*Nature Ecology and Evolution*,

*2*(11). Abstract.

### 2017

**Barbosa C, Trebosc V, Kemmer C, Rosenstiel P, Beardmore R, Schulenburg H, Jansen G**(2017). Alternative Evolutionary Paths to Bacterial Antibiotic Resistance Cause Distinct Collateral Effects.

*Mol Biol Evol*,

*34*(9), 2229-2244. Abstract. Author URL. Full text.

**Beardmore RE, Peña-Miller R, Gori F, Iredell J**(2017). Antibiotic Cycling and Antibiotic Mixing: Which One Best Mitigates Antibiotic Resistance?.

*Mol Biol Evol*,

*34*(4), 802-817. Abstract. Author URL. Full text.

**Reding-Roman C, Hewlett M, Duxbury S, Gori F, Gudelj I, Beardmore R**(2017). The unconstrained evolution of fast and efficient antibiotic-resistant bacterial genomes.

*Nature Ecology & Evolution*,

*1*(3). Full text.

### 2016

**Rashkov P, Barrett IP, Beardmore RE, Bendtsen C, Gudelj I**(2016). Kinase Inhibition Leads to Hormesis in a Dual Phosphorylation-Dephosphorylation Cycle.

*PLoS Comput Biol*,

*12*(11). Abstract. Author URL. Full text.

### 2015

**Meyer JR, Gudelj I, Beardmore R**(2015). Biophysical mechanisms that maintain biodiversity through trade-offs.

*Nat Commun*,

*6*Abstract. Author URL. Full text.

**Roemhild R, Barbosa C, Beardmore RE, Jansen G, Schulenburg H**(2015). Temporal variation in antibiotic environments slows down resistance evolution in pathogenic Pseudomonas aeruginosa.

*Evolutionary Applications*Abstract.

**Roemhild R, Barbosa C, Beardmore RE, Jansen G, Schulenburg H**(2015). Temporal variation in antibiotic environments slows down resistance evolution in pathogenic Pseudomonas aeruginosa.

*Evolutionary Applications*,

*8*(10), 945-955. Abstract.

**Fuentes-Hernandez A, Plucain J, Gori F, Pena-Miller R, Reding C, Jansen G, Schulenburg H, Gudelj I, Beardmore R**(2015). Using a sequential regimen to eliminate bacteria at sublethal antibiotic dosages.

*PLoS Biol*,

*13*(4). Abstract. Author URL. Full text.

### 2014

**Arnoldini M, Vizcarra IA, Peña-Miller R, Stocker N, Diard M, Vogel V, Beardmore RE, Hardt W-D, Ackermann M**(2014). Bistable expression of virulence genes in salmonella leads to the formation of an antibiotic-tolerant subpopulation.

*PLoS Biol*,

*12*(8). Abstract. Author URL.

**Laehnemann D, Peña-Miller R, Rosenstiel P, Beardmore R, Jansen G, Schulenburg H**(2014). Genomics of rapid adaptation to antibiotics: convergent evolution and scalable sequence amplification.

*Genome Biol Evol*,

*6*(6), 1287-1301. Abstract. Author URL.

**Peña-Miller R, Fuentes-Hernandez A, Reding C, Gudelj I, Beardmore R**(2014). Testing the optimality properties of a dual antibiotic treatment in a two-locus, two-allele model.

*J R Soc Interface*,

*11*(96). Abstract. Author URL.

### 2013

**Maharjan R, Nilsson S, Sung J, Haynes K, Beardmore RE, Hurst LD, Ferenci T, Gudelj I**(2013). The form of a trade-off determines the response to competition.

*Ecology Letters*,

*16*(10), 1267-1276. Abstract.

**Maharjan R, Nilsson S, Sung J, Haynes K, Beardmore RE, Hurst LD, Ferenci T, Gudelj I**(2013). The form of a trade-off determines the response to competition.

*Ecol Lett*,

*16*(10), 1267-1276. Abstract. Author URL.

**Beardmore RE, Pena-Miller R, Laehnemann D, Jansen G, Fuentes-Hernandez A, Rosenstiel P, Schulenburg H**(2013). When the most potent combination of antibiotics selects for the greatest bacterial load: the Smile-Frown transition.

*PLoS Biology*,

*11*(4), 1-13. Full text.

### 2012

**Peña-Miller R, Lähnemann D, Schulenburg H, Ackermann M, Beardmore R**(2012). Selecting against antibiotic-resistant pathogens: optimal treatments in the presence of commensal bacteria.

*Bull Math Biol*,

*74*(4), 908-934. Abstract. Author URL.

**Peña-Miller R, Lähnemann D, Schulenburg H, Ackermann M, Beardmore R**(2012). The optimal deployment of synergistic antibiotics: a control-theoretic approach.

*J R Soc Interface*,

*9*(75), 2488-2502. Abstract. Author URL.

### 2011

**Beardmore RE, Gudelj I, Lipson DA, Hurst LD**(2011). Metabolic trade-offs and the maintenance of the fittest and the flattest.

*Nature*,

*472*(7343), 342-346. Abstract. Author URL. Full text.

### 2010

**Beardmore RE, Pena-Miller R**(2010). Antibiotic cycling versus mixing: the difficulty of using mathematical models to definitively quantify their relative merits.

*Math Biosci Eng*,

*7*(4), 923-933. Abstract. Author URL. Full text.

**Peters R, Beckett N, Beardmore R, Peña-Miller R, Rockwood K, Mitnitski A, Mt-Isa S, Bulpitt C**(2010). Modelling cognitive decline in the Hypertension in the Very Elderly Trial [HYVET] and proposed risk tables for population use.

*PLoS One*,

*5*(7). Abstract. Author URL.

**Beardmore RE, Peña-Miller R**(2010). Rotating antibiotics selects optimally against antibiotic resistance, in theory.

*Math Biosci Eng*,

*7*(3), 527-552. Abstract. Author URL. Full text.

### 2008

**Beardmore R, Webster K**(2008). A Hopf bifurcation theorem for singular differential-algebraic equations. Abstract.

**Beardmore R, Webster K**(2008). Normal forms, quasi-invariant manifolds, and bifurcations of nonlinear difference-algebraic equations.

*SIAM Journal on Mathematical Analysis*,

*40*(1), 413-441. Abstract.

**Forde SE, Beardmore RE, Gudelj I, Arkin SS, Thompson JN, Hurst LD**(2008). Understanding the limits to generalizability of experimental evolutionary models.

*Nature*,

*455*(7210), 220-223. Abstract. Author URL. Full text.

### 2007

**Beardmore RE, Peplow A**(2007). A bifurcation analysis of the Ornstein-Zernike equation with hypernetted chain closure.

*Journal of Mathematical Analysis and Applications*,

*333*(2), 919-942. Abstract.

**Beardmore RE, Peplow AT, Bresme F**(2007). A numerical bifurcation analysis of the ornstein-zernike equation with hypernetted chain closure.

*SIAM Journal on Scientific Computing*,

*29*(6), 2442-2463. Abstract.

**Gudelj I, Beardmore RE, Arkin SS, MacLean RC**(2007). Constraints on microbial metabolism drive evolutionary diversification in homogeneous environments.

*J Evol Biol*,

*20*(5), 1882-1889. Abstract. Author URL.

### 2006

**Peplow AT, Beardmore RE, Bresme F**(2006). Algorithms for the computation of solutions of the Ornstein-Zernike equation.

*Phys Rev E Stat Nonlin Soft Matter Phys*,

*74*(4 Pt 2). Abstract. Author URL.

**Gudelj I, Coman CD, Beardmore RE**(2006). Classifying the role of trade-offs in the evolutionary diversity of pathogens.

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,

*462*(2065), 97-116. Abstract.

### 2005

**Laister R, Beardmore RE**(2005). Bifurcations in degenerate elliptic equations. Author URL.

**Beardmore RE, Peletier MA, Budd CJ, Wadee MA**(2005). Bifurcations of periodic solutions satisfying the zero-Hamiltonian constraint in reversible differential equations.

*SIAM Journal on Mathematical Analysis*,

*36*(5), 1461-1488. Abstract.

### 2004

**Laister R, Peplow AT, Beardmore RE**(2004). Finite time extinction in nonlinear diffusion equations.

*Applied Mathematics Letters*,

*17*(5), 561-567. Abstract.

**Laister R, Peplow AT, Beardmore RE**(2004). Finite time extinction in nonlinear diffusion equations.

*Applied Mathematics Letters*,

*17*(6), 561-567. Abstract.

**Beardmore RE, Laister R**(2004). Sequential and continuum bifurcations in degenerate elliptic equations.

*Proceedings of the American Mathematical Society*,

*132*(1), 165-174. Abstract.

**Beardmore RE, Laister R, Peplow A**(2004). Trajectories of a DAE near a pseudo-equilibrium.

*Nonlinearity*,

*17*(1), 253-279. Abstract.

### 2003

**Beardmore RE, Laister R**(2003). The flow of a DAE near a singular equilibrium.

*SIAM Journal on Matrix Analysis and Applications*,

*24*(1), 106-120. Abstract.

**Beardmore I, Beardmore R**(2003). The global structure of a spatial model of infectious disease.

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,

*459*(2034), 1427-1448. Abstract.

**Laister R, Beardmore RE**(2003). Transversality and separation of zeros in second order differential equations.

*Proceedings of the American Mathematical Society*,

*131*(1), 209-218. Abstract.

### 2002

**Beardmore RE**(2002). The singularity-induced bifurcation and its Kronecker normal form.

*SIAM Journal on Matrix Analysis and Applications*,

*23*(1), 126-137. Abstract.

### 2001

**Beardmore RE**(2001). A singularity-induced bifurcation theorem for infinite-dimensional implicit dynamical systems.

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,

*457*(2010), 1295-1305. Abstract.

### 2000

**Beardmore RE**(2000). Double singularity-induced bifurcation points and singular Hopf bifurcations.

*Dynamical Systems*,

*15*(4), 319-342. Abstract.

### 1998

**Beardmore RE, Song YH**(1998). Differential-algebraic equations: a tutorial review.

*International Journal of Bifurcation and Chaos in Applied Sciences and Engineering*,

*8*(7), 1399-1411. Abstract.

**Beardmore RE**(1998). Stability and bifurcation properties of index-1 DAEs.

*Numerical Algorithms*,

*19*(1-4), 43-53. Abstract.

## External Engagement and Impact

### Committee/panel activities

Member of EPSRC College

2011 EPSRC Leadership Fellows Sift and Interview Panels

2013 EPSRC Doctoral Training Centres Panel

Reviewer for EPSRC, NSERC (Canada), Portuguese Foundation for Science and Technology (FCT), ETH Zurich Collaborative Highly Interdisciplinary Research Projects (interdisciplinary research programme) and others...

### Invited lectures

2008 NESCent Research Meeting, April 7-10, Duke University Campus

2008 Bifurcation Theoretic Computations for 1-d DFTs, June 24th, Imperial College

2008 17th Annual Scottish Computational Mathematics Symposium, September 10th, Heriot-Watt University, Edinburgh

2008 IEEE Seminar, Devry Institute, New Brunswick, New Jersey, US.

2009 PIMS Lecture Series (University of Alberta and UBC, Vancouver), February

2009 Analyse des Systemes et Biometrie, March, Montpellier, France

2009 One-week postgraduate lecture course: Phase Transition Tracking for Classical Density Functional Theory, April, University Carlos III, Madrid

2009 ESA, Special Session on Microbial Evolution in Ecology, June, Albuquerque, New Mexico, US

2009 Epidemiology Seminar Series, Department of Zoology, University of Oxford, October

2010 Optimal control theory & rotating or mixing antibiotics, Yale, Connecticut, US, Jan

2010 Coevolution - Rapid Reciprocal Adaptation and its Genetic Basis, `Phenotypic diversity versus resource supply for GxE and GxGxE interactions in the chemostat,' Kiel, Feb

2010 Centre for Evolutionary Genetics Seminar, September, Kiel University,

2010 Basque Center for Applied Mathematics (BCAM), December, Bilboa, Spain

2011 Centre for Evolutionary Genetics Seminar, Kiel University, September

2011 Maths for Microbes session; Society for General Microbiology, Spring Conference, Harrogate, April

2011 Departmental Seminar, Engineering Mathematics, Bristol University, December

2011 H. Lee Moffitt Cancer Center, IMO seminar, December

2012 Seminar, Harvard Medical School (Kishony Lab), Boston US, February

2012 OEB `Special Seminar' Harvard Systems Biology Seminar, Boston US, February

2012 International Conference of Numerical Analysis and Applied Mathematics, Halkidiki, Greece, September; plenary symposium on the applications of numerical analysis and scientific computation in mathematical biology

2012 Department of Systems Biology, Novo Nordisk Foundation Center for Biosustainability, Copenhagen, December

2013 Colloquium (Optimisation in Biology) ETH Zurich in Basel, January

2013 Cavendish Laboratory Seminar Series, Cambridge, February

2013 Thematic Programme on Mathematical Biology, Lyon, March, plenary talk, mathbio2013.sciencesconf.org/

2013 Departmental Seminar (Mathematical Medicine), Nottingham, October

2013 Agents against Infectious Diseases, plenary talk, University Wurzburg, November

### Research funding

1998 SIAM Student Prize, presented Toronto 1999

2012 Lee Segel Prize (shared), presented Arizona 2013

EPSRC Leadership Fellow, 2010-2015

### Workshops/Conferences organised

2006-2009: Imperial organiser of M4 Corridor PG Days in Numerical Analysis with Oxford, Brunel, Reading, Bath and Cardiff

2008 Bifurcation-Theoretic Computations and Classical Density Functional Theory, 24th June, Imperial College, London, approximately 20 attendees

2010 Organised the Mathematics of Microbes: Biophysical Details of the Evolving Cell, April, Imperial College, London, approximately 50 attendees

2013 Quantitative Evolutionary Dynamics (QED): microbes from cells to populations in their natural environments, April, Shaldon near Exeter University, UK, approximately 50 attendees

## Teaching

## Supervision / Group

### Postdoctoral researchers

- Dr Ayari Fuentes-Hernandez
- Dr Fabio Gori
- Dr Jessica Plucain

### Postgraduate researchers

- Mark Hewlett
- Bogna Pawlowska
- Carlos Reding
- Cyrielle Tonneau

### Alumni

- Dr Sinan Arkin former PhD student
- Dr Rafael Pena-Miller former PhD student & EPSRC-funded post-doc
- Dr Andrew Peplow former EPSRC-funded PDRA
- Dr Kevin Webster former EPSRC-funded PDRA