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Department of Applied Mathematics

Dr Steven Webb

Dr Steven Webb

Telephone: 0151 231 2217



Research Interests: Systems Biology; Pharmacokinetics; PBPK modelling; Mathematical and Computational modelling.

Personal Statement: My research is in Mathematical and Systems Biology, particularly in modeling cell-cell interactions, pharmacology, cancer, computational cell biology and infectious diseases. I use a range of computational and mathematical techniques ranging from individual based models, correlation equations, stochastic moment closure systems to ordinary and partial differential equations and numerical analysis.

I obtained my doctorate in Mathematics from Heriot-Watt University in 2000, then did postdoctoral work in Mathematics departments at Minnesota (2000-2001), Loughborough (2001-2004), Nottingham (2004-2005) and in the Department of Animal and Plant Sciences at the University of Sheffield (2005-2007), before taking up a John Anderson Research Lectureship in Mathematical Biology and Medicine at the University of Strathclyde in 2007. I moved to the University of Liverpool to take up a lectureship in Systems Pharmacology in the Centre for Drug Safety Science in Oct 2012 and then, in 2015, I moved to Liverpool John Moores University as a Reader in Applied Mathematics.

Research group webpage:


2000, Heriot-Watt University, United Kingdom, Ph.D., Mathematics
1997, University of Warwick, United Kingdom, M.Math., Master of Mathematics

Academic appointments

Reader in Applied Mathematics, Department of Applied Mathematics, Liverpool John Moores University, 2015 - present
Lecturer in Systems Pharmacology, University of Liverpool, 2012 - 2015
John Anderson Research Lecturer in Mathematics, University of Strathclyde, 2007 - 2012

Postgraduate training

Pg.Cert., Advanced Academic Studies, Member of Higher Education Academy, Glasgow, University of Strathclyde, 2009 - 2011


Highlighted publications

Mason C, Leedale J, Tasoulis S, Jarman IH, Antoine D, Webb S. Systems Toxicology Approach to Identifying Paracetamol Overdose CPT: Pharmacometrics & Systems Pharmacology, >DOI

Journal article

Kyffin JA, Sharma P, Leedale J, Colley HE, Murdoch C, Mistry P, Webb SD. 2018. Impact of cell types and culture methods on the functionality of in vitro liver systems - A review of cell systems for hepatotoxicity assessment TOXICOLOGY IN VITRO, 48 :262-275 >DOI

Storm MP, Sorrell I, Shipley R, Regan S, Luetchford KA, Sathish J, Webb S, Ellis MJ. 2016. Hollow Fiber Bioreactors for In Vivo-like Mammalian Tissue Culture Journal of Visualized Experiments, :e53431-e53431 >DOI >Link

Gaskell H, Sharma P, Colley HE, Murdoch C, Williams DP, Webb SD. 2016. Characterization of a functional C3A liver spheroid model Toxicology Research, 5 :1053-1065 >DOI

Eakins R, Walsh J, Randle L, Jenkins RE, Schuppe-Koistinen I, Rowe C, Lewis PS, Vasieva O, Prats N, Brillant N, Auli M, Bayliss M, Webb S, Rees JA, Kitteringham NR, Goldring CE, Park BK. 2015. Adaptation to acetaminophen exposure elicits major changes in expression and distribution of the hepatic proteome SCIENTIFIC REPORTS, 5 >DOI >Link

Webb SD, Reddyhoff D, Ward J, Williams D, Regan S. 2015. Timescale analysis of a mathematical model of acetaminophen metabolism andtoxicity Journal of Theoretical Biology, 386 :132-146 >DOI

Al-Husari M, Murdoch C, Webb SD. 2014. A cellular automaton model examining the effects of oxygen, hydrogen ions and lactate on early tumour growth JOURNAL OF MATHEMATICAL BIOLOGY, 69 :839-873 >DOI >Link

Sorrell I, Shipley RJ, Hearnden V, Colley HE, Thornhill MH, Murdoch C, Webb SD. 2014. Combined mathematical modelling and experimentation to predict polymersome uptake by oral cancer cells NANOMEDICINE-NANOTECHNOLOGY BIOLOGY AND MEDICINE, 10 :339-348 >DOI >Link

Williams DP, Shipley R, Ellis MJ, Webb S, Ward J, Gardner I, Creton S. 2013. Novel in vitro and mathematical models for the prediction of chemical toxicity TOXICOLOGY RESEARCH, 2 :40-59 >DOI >Link

Nieminen L, Webb S, Smith MCM, Hoskisson PA. 2013. A Flexible Mathematical Model Platform for Studying Branching Networks: Experimentally Validated Using the Model Actinomycete, Streptomyces coelicolor PLOS ONE, 8 >DOI >Link

Webb SD, Keeling MJ, Boots M. 2013. A theoretical study of the role of spatial population structure in the evolution of parasite virulence THEORETICAL POPULATION BIOLOGY, 84 :36-45 >DOI >Link

Al-Husari M, Webb SD. 2013. Regulation of tumour intracellular pH: A mathematical model examining the interplay between H+ and lactate JOURNAL OF THEORETICAL BIOLOGY, 322 :58-71 >DOI >Link

Webb SD, Keeling MJ, Boots M. 2013. The role of spatial population structure on the evolution of parasites with acquired immunity and demography JOURNAL OF THEORETICAL BIOLOGY, 324 :21-31 >DOI >Link

Dickens D, Webb SD, Antonyuk S, Giannoudis A, Owen A, Raedisch S, Hasnain SS, Pirmohamed M. 2013. Transport of gabapentin by LAT1 (SLC7A5) BIOCHEMICAL PHARMACOLOGY, 85 :1672-1683 >DOI >Link

Al-Husari M, Webb SD. 2013. Acid-mediated tumour cell invasion: a discrete modelling approach using the extended Potts model CLINICAL & EXPERIMENTAL METASTASIS, 30 :793-806 >DOI >Link

Al-Husari M, Webb SD. 2013. Theoretical Predictions of Lactate and Hydrogen Ion Distributions in Tumours PLOS ONE, 8 >DOI >Link

Sorrell I, Webb SD, Shipley RJ, Hearnden VL, Colley HE, Murdoch C. 2012. Modeling polymersome delivery of anticancer therapeutics CANCER RESEARCH, 72 >DOI >Link

Best A, Webb S, Antonovics J, Boots M. 2012. Local transmission processes and disease-driven host extinctions THEORETICAL ECOLOGY, 5 :211-217 >DOI >Link

Neilson MP, Veltman DM, van Haastert PJM, Webb SD, Mackenzie JA, Insall RH. 2011. Chemotaxis: A Feedback-Based Computational Model Robustly Predicts Multiple Aspects of Real Cell Behaviour PLOS BIOLOGY, 9 >DOI >Link


Davies J, Grinfeld M, Webb SD. 2011. Special Issue: Emerging Modelling Methodologies in Medicine and Biology Introduction THEORY IN BIOSCIENCES, 130 :1-3 >DOI >Link

Jones EO, Webb SD, Ruiz-Fons FJ, Albon S, Gilbert L. 2011. The effect of landscape heterogeneity and host movement on a tick-borne pathogen THEORETICAL ECOLOGY, 4 :435-448 >DOI >Link

Best A, Webb S, White A, Boots M. 2011. Host resistance and coevolution in spatially structured populations PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 278 :2216-2222 >DOI >Link

Neilson MP, Mackenzie JA, Webb SD, Insall RH. 2010. Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell INTEGRATIVE BIOLOGY, 2 :687-695 >DOI >Link

Grinfeld M, Webb SD. 2009. Structural instability in an autophosphorylating kinase switch MATHEMATICAL BIOSCIENCES, 219 :92-96 >DOI >Link

Reinhardt K, Koehler G, Webb S, Childs D. 2007. Field mating rate of female meadow grasshoppers, Chorthippus parallelus, estimated from sperm counts ECOLOGICAL ENTOMOLOGY, 32 :637-642 >DOI >Link

Webb SD, Keeling MJ, Boots M. 2007. Spatially extended host-parasite interactions: The role of recovery and immunity THEORETICAL POPULATION BIOLOGY, 71 :251-266 >DOI >Link

Webb SD, Owen MR, Byrne HM, Murdoch C, Lewis CE. 2007. Macrophage-based anti-cancer therapy: Modelling different modes of tumour targeting BULLETIN OF MATHEMATICAL BIOLOGY, 69 :1747-1776 >DOI >Link

Webb SD, Keeling MJ, Boots M. 2007. Host-parasite interactions between the local and the mean-field: How and when does spatial population structure matter? JOURNAL OF THEORETICAL BIOLOGY, 249 :140-152 >DOI >Link

Byrne HM, Alarcon T, Owen MR, Webb SD, Maini PK. 2006. Modelling aspects of cancer dynamics: a review PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 364 :1563-1578 >DOI >Link

Webb SD, Sherratt JA. 2004. Oscillatory reaction-diffusion equations with temporally varying parameters MATHEMATICAL AND COMPUTER MODELLING, 39 :45-60 >DOI >Link

Webb SD, Owen MR. 2004. Oscillations and patterns in spatially discrete models for developmental intercellular signalling JOURNAL OF MATHEMATICAL BIOLOGY, 48 :444-476 >DOI >Link

Mantzaris NV, Webb S, Othmer HG. 2004. Mathematical modeling of tumor-induced angiogenesis JOURNAL OF MATHEMATICAL BIOLOGY, 49 :111-187 >DOI >Link

Webb SD, Owen MR. 2004. Intra-membrane ligand diffusion and cell shape modulate juxtacrine patterning JOURNAL OF THEORETICAL BIOLOGY, 230 :99-117 >DOI >Link

Webb SD, Sherratt JA. 2003. A perturbation problem arising from the modelling of soluble Fas ligand in tumour immunology MATHEMATICAL AND COMPUTER MODELLING, 37 :323-331 >DOI >Link

Webb SD, Sherratt JA, Fish RG. 2002. Cells behaving badly: a theoretical model for the Fas/FasL system in tumour immunology MATHEMATICAL BIOSCIENCES, 179 :113-129 >DOI >Link

Webb SD, Sherratt JA, Fish RG. 2001. Modelling tumour acidity and invasion Novartis Foundation Symposium, 240 :169-181

Webb SD, Sherratt JA, Fish RG. 1999. Mathematical modelling of tumour acidity: Regulation of intracellular pH JOURNAL OF THEORETICAL BIOLOGY, 196 :237-250 >DOI >Link

Webb SD, Sherratt JA, Fish RG. 1999. Alterations in proteolytic activity at low pH and its association with invasion: A theoretical model CLINICAL & EXPERIMENTAL METASTASIS, 17 :397-407 >DOI >Link

Mason C, Leedale J, Tasoulis S, Jarman IH, Antoine D, Webb S. Systems Toxicology Approach to Identifying Paracetamol Overdose CPT: Pharmacometrics & Systems Pharmacology, >DOI

Madden JC, Webb S, Enoch SJ, Colley H, Murdoch C, Shipley R, Sharma P, Yang C. In silico prediction of skin metabolism and its implication in toxicity assessment Computational Toxicology, >DOI

Conference publication

Madden J, Pletz J, Webb S, Enoch S, Cronin M. 2017. Identifying potential liver toxicants using in vitro and in silico methods in a weight-of-evidence based approach TOXICOLOGY LETTERS, 53rd Congress of the European-Societies-of-Toxicology (EUROTOX) 280 :S133-S133 >DOI >Link

Gaskell H, Sharma P, Colley H, Murdoch C, Antoine D, Sathish J, Williams D, Webb S. 2015. Development and characterisation of a functional 3D liver spheroid model TOXICOLOGY LETTERS, 51st Congress of the European-Societies-of-Toxicology (EUROTOX) 238 :S176-S176 >DOI >Link