Dr Louise Dyson
Office: Mathematical Sciences Building, 5.09
Phone: +44 (0)24 765 24975
Teaching Responsibilities 2019/20:
Term 2: MA4E7 Population Dynamics: Ecology & Epidemiology
I am an Assistant Professor in Epidemiology appointed jointly between the Mathematics Institute and the School of Life Sciences. I am also a member of the Zeeman Institute ( Systems Biology and Infectious Disease Epidemiology Research, SBIDER), a cross-departmental group bringing together researchers from different disciplines to better understand the biological world. My research interests involve using techniques from mathematics and statistical physics to analyse biological and epidemiological systems. I am particularly interested in work with strong experimental links and in discovering the simplest possible explanatory mechanisms for observed data.
Targeting treatment of yaws
Yaws is a bacterial infection that can cause lesions in the skin and bones and is primarily found in tropical areas. We are investigating whether household contacts constitute a major contribution to disease transmission to evaluate whether targeting treatment at diagnosed cases and their contacts is a feasible strategy for controlling or eliminating Yaws. This work is in collaboration with Michael Marks at the London School for Hygiene and Tropical Medicine and Deirdre Hollingsworth here in Warwick.
- Dyson, L., Crook, O., Bishop, A., Marks, M. and Hollingsworth, T.D. Targeted treatment of yaws with household contact tracing: How much do we miss? Am. J. Epidemiol. 187:4 837-844 (2018)
Systematic non-adherence to mass drug administration
For many diseases that can be safely and effectively treated with appropriate drugs we attempt to reduce disease impact through a mass drug administration campaign, in which we repeatedly (for example, annually) treat as many people in the community as possible, regardless of their disease status. These campaigns are common in many diseases, however their success depends upon a good implementation of the campaign. It is generally accepted that high coverage levels (the percentage of of people treated in each round) is essential good efficacy of the campaign. However, the quality of that coverage is also highly important, particularly the amount of overlap between different rounds of treatment. If we continually treat the same people, that is less good than gradually treating everyone over multiple years. I am investigating ways of modelling this effect, and the extent to which it is a problem in disease elimination campaigns.
- Dyson, L., Stolk, W., Farrell, S.H. and Hollingsworth, T.D. Measuring and modelling the effects of systematic non-adherence to mass drug administration. Epidemics. 18:56-66 (2017)
Modelling to support the eradication of NTDs
The World Health Organisation (WHO) is targeting control efforts at a set of neglected tropical diseases (NTDs), a group of communicable diseases that affect more than one billion people worldwide. I use mathematical modelling to support these efforts in a variety of ways, some targeted at particular diseases, others that aim to be more widely applicable across diseases.
- Gama Dessavre, A., Southall, E., Tildesley, M.J. and Dyson, L. The problem of detrending when analysing potential indicators of disease elimination J. Theor. Biol. (accepted)
- Dyson, L. and Hollingsworth, T.D. Diagnosing risk factors alongside mass drug administration using serial diagnostic tests—which test first? Trans. R. Soc. Trop. Med. Hyg. 112(7), 342348 (2018)
- Hollingsworth, T.D., ... , Dyson, L., ... , NTD Modelling Consortium Quantitative analyses and modelling to support achievement of the 2020 goals for nine neglected tropical diseases. Parasites & Vectors 8:630 (2015)
- Chapman, L.A.C., Dyson, L., Courtenay, O., Chowdhury, R., Bern, C., Medley, G.F. and Hollingsworth, T.D. Quantification of the natural history of visceral leishmaniasis and consequences for control. Parasites & Vectors 8:521 (2015)
Noise-induced bistable states
Noise-induced bistability is often found in systems with two deterministic stable steady states, where the addition of noise simply moves the system between the two states. We instead considered a situation where these steady states are not present at all in the deterministic system, but are instead a consequence of multiplicative noise induced by low population numbers in a system with an autocatalytic reaction. This type of noise-induced bistability may be distinguished in experimental systems from the more usually described type, by the presence of a critical population size, above which bistability ceases to occur.
- Biancalani, T., Dyson, L. and McKane, A.J. Noise-Induced Bistable States and Their Mean Switching Time in Foraging Colonies. Phys. Rev. Lett. 112(3) (2014)
- Biancalani, T.*, Dyson, L.* and McKane, A.J. The statistics of fixation times for systems with recruitment. J. Stat. Mech. P01013 (2015)
- Dyson, L.*, Yates, C.*, Buhl, J. and McKane, A.J. Onset of collective motion in locusts is captured by a minimal model. Phys. Rev. E. 052708 (2015)
Stochastic modelling of cellular migration with volume exclusion
Partial differential equations (PDE) are widely used in the modelling of cellular migration, enabling the use of both analytical and numerical techniques for studying such systems. However, these equations are rarely explicitly derived from the underlying behaviours of individual cells and thus it is difficult to parameterise and perturb systems on an individual level. Moreover, in many biological systems there is not a large enough number of individuals to justify the continuum approximation. I am interested deriving PDE approximations to off-lattice individual-based models (IBMs), particularly those with volume exclusion.
- Dyson, L., Maini, P.K. and Baker, R.E. Macroscopic limits of individual-based models for motile cell populations with volume exclusion. Phys. Rev. E 86, 031903 (2013)
- Dyson, L., and Baker, R.E. The importance of volume exclusion in modelling cellular migration. J. Math. Biol. 71 (3), 691-711, (2015)
Individual-based modelling the migration of cranial neural crest cells during embryo development
Cell migration and differentiation during embryo development is instrumental in transforming a clump of cells into a functioning organism. One such migration is that of cranial neural crest cells (CNCCs), which give rise to bone, cartilage, nerves and connective tissue in the face. Elucidating the mechanisms underlying the migration requires close collaborations between experimentalists and mathematical modellers. I have formulated an individual-based model of this system which is then used to predict experimental outcomes, thus testing our modelling assumptions and hypotheses. This work is in close collaboration with Prof. Paul Kulesa at the Stowers Institute for Medical Research, and has lead to a further collaboration studying the migration of the trunk neural crest.
- McLennan, R.*, Dyson, L.* Prather, K.W., Morrison, J.A., Baker, R.E., Maini, P.K. and Kulesa, P.M. Multiscale Mechanisms of Cell Migration During Development: Theory and Experiment. Development. 139, 2935-2944, 2012 (Faculty of 1000 Recommended).
- Dyson, L., Holmes, A., Li, A. and Kulesa P.M. A Chemotactic Model of Trunk Neural Crest Cell Migration Genesis 56:e23239 (2018)
Social complexity of immigration and diversity
When investigating complex inter-dependent systems one is often left trying to reconcile two modelling paradigms: whether to use detailed, highly complex models that have direct parametric links to reality; or to consider simpler models that may be more easily analysed, but have a looser, more descriptive link with the experimental system? We investigated methods to link these two frameworks, by taking a highly complicated computational model of voting patterns in a population, and deriving a series of smaller models which may then be analysed and compared with the original model. This work was carried out in collaboration with social scientists within the University of Manchester
- Lafuerza, L.F., Dyson, L, Edmonds, B. and McKane A.J. Simplification and analysis of a model of social interaction in voting. Eur. Phys. J. B 89:159 (2016)
- Lafuerza, L.F., Dyson, L, Edmonds, B. and McKane A.J. Staged Models for Interdisciplinary Research. PLoS ONE, 11:6 (2016)
Our recent paper on swarming locusts has received some attention in the press, with interviews on Radio 4's Today Programme (50mins in) and BBC World's Newsday (15.55mins in) and an article in the conversation. I have previously given a talk for the general public on this and other research at the Institute for Mathematics and its Applications.