School of Mathematics

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Dr Sandro Azaele

Lecturer
Applied Mathematics

Contact details

Room: 8.14
Tel: +44 (0)113 3438622
Email: S.Azaele @ leeds.ac.uk

Keywords

Statistical Mechanics
Stochastic Processes
Complex Systems
Theoretical Ecology
Neutral Theory of Biodiversity
MaxEnt
Mathematical Biology
Nonlinear Dynamics

Research interests

My research focuses on the mathematical modelling of biological systems, whether they be ecological communities or populations of isogenic cells. I have a deep interest in providing a quantitative explanation of general properties and patterns emerging from very different conditions and seemingly unrelated systems.

Living systems are far from equilibrium: they diffuse across the real space, looking for resources to survive, and diffuse across the genomic space as well, looking for new solutions to ever-changing problems entailed by the struggle for life. This twofold and coupled diffusion process spawns an extraordinary variety of collective behaviors, brings about irreversible phenomena, develops self-organization and generates universal patterns. Distilling such a biological complexity to the primary driving mechanisms represents a formidable challenge and orients my research. I study such problems with a combination of tools borrowed from non-equilibrium statistical mechanics, stochastic processes and non-linear dynamics.

Useful links

Personal webpage
Available PhD projects
MATH3365 - Mathematical Methods
MATH5366 - Advanced Mathematical Methods

Current postgraduate students

Joana Lisboa Brandao de Melo (2015)
Fabio Peruzzo (2015)

Publications

Danino M, Shnerb NM, Azaele S, Kunin WE, Kessler DA The effect of environmental stochasticity on species richness in neutral communities Journal of Theoretical Biology, 409, 155-164, 2016
DOI:10.1016/j.jtbi.2016.08.029
View abstract

Azaele S, Suweis S, Grilli J, Volkov I, Banavar JR, Maritan A Statistical mechanics of ecological systems: Neutral theory and beyond Reviews of Modern Physics, 88, 2016
DOI:10.1103/RevModPhys.88.035003
View abstract

Azaele S, Maritan A, Cornell SJ, Suweis S, Banavar JR, Gabriel D, Kunin WE Towards a unified descriptive theory for spatial ecology: predicting biodiversity patterns across spatial scales Methods in Ecology and Evolution, 6, 324-332, 2015
DOI:10.1111/2041-210X.12319
View abstract

Xi N, Muneepeerakul R, Azaele S, Wang Y Maximum entropy model for business cycle synchronization Physica A: Statistical Mechanics and its Applications, 413, 189-194, 2014
DOI:10.1016/j.physa.2014.07.005
View abstract

Barwell LJ, Azaele S, Kunin WE, Isaac NJB Can coarse-grain patterns in insect atlas data predict local occupancy? Diversity and Distributions: a journal of conservation biogeography, 2014
DOI:10.1111/ddi.12203
View abstract

Grilli J, Azaele S, Banavar JR, Maritan A Spatial aggregation and the species-area relationship across scales Journal of Theoretical Biology, 313, 87-97, 2012
DOI:10.1016/j.jtbi.2012.07.030
View abstract

Grilli J, Azaele S, Banavar JR, Maritan A Absence of detailed balance in ecology EPL - Europhysics Letters, 100, 2012
DOI:10.1209/0295-5075/100/38002
View abstract

Borile C, Muñoz MA, Azaele S, Banavar JR, Maritan A Spontaneously broken neutral symmetry in an ecological system Physical Review Letters, 109, 2012
DOI:10.1103/PhysRevLett.109.038102
View abstract

Azaele S, Cornell SJ, Kunin WE Downscaling species occupancy from coarse spatial scales Ecological Applications, 22, 1004-1014, 2012
DOI:10.1890/11-0536.1
View abstract

Di Patti F, Azaele S, Banavar JR, Maritan A System size expansion for systems with an absorbing state Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 83, 2011
DOI:10.1103/PhysRevE.83.010102
View abstract

Muneepeerakul R, Azaele S, Levin SA, Rinaldo A, Rodriguez-Iturbe I Evolution of dispersal in explicitly spatial metacommunities. Journal of Theoretical Biology, 269, 256-265, 2011
DOI:10.1016/j.jtbi.2010.11.003
View abstract

Muneepeerakul R, Azaele S, Botter G, Rinaldo A, Rodriguez-Iturbe I Daily streamflow analysis based on a two-scaled gamma pulse model Water Resources Research, 46, 2010
DOI:10.1029/2010WR009286
View abstract

Konar M, Muneepeerakul R, Azaele S, Bertuzzo E, Rinaldo A, Rodriguez-Iturbe I Potential impacts of precipitation change on large-scale patterns of tree diversity Water Resources Research, 46, 2010
DOI:10.1029/2010WR009384
View abstract

Todd MJ, Muneepeerakul R, Pumo D, Azaele S, Miralles-Wilhelm F, Rinaldo A, Rodriguez-Iturbe I Hydrological drivers of wetland vegetation community distribution within Everglades National Park, Florida Advances in Water Resources, 33, 1279-1289, 2010
DOI:10.1016/j.advwatres.2010.04.003
View abstract

Azaele S, Maritan A, Bertuzzo E, Rodriguez-Iturbe I, Rinaldo A Stochastic dynamics of cholera epidemics Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 81, 2010
DOI:10.1103/PhysRevE.81.051901
View abstract

Azaele S, Muneepeerakul R, Rinaldo A, Rodriguez-Iturbe I Inferring plant ecosystem organization from species occurrences. Journal of Theoretical Biology, 262, 323-329, 2010
DOI:10.1016/j.jtbi.2009.09.026
View abstract

Azaele S, Banavar JR, Maritan A Probing noise in gene expression and protein production Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 80, 2009
DOI:10.1103/PhysRevE.80.031916
View abstract

Convertino M, Muneepeerakul R, Azaele S, Bertuzzo E, Rinaldo A, Rodriguez-Iturbe I On neutral metacommunity patterns of river basins at different scales of aggregation Water Resources Research, 45, 2009
DOI:10.1029/2009WR007799
View abstract

Azaele S, Muneepeerakul R, Maritan A, Rinaldo A, Rodriguez-Iturbe I Predicting spatial similarity of freshwater fish biodiversity. Proceedings of the National Academy of Sciences of USA, 106, 7058-7062, 2009
DOI:10.1073/pnas.0805845106
View abstract

Bertuzzo E, Azaele S, Maritan A, Gatto M, Rodriguez-Iturbe I, Rinaldo A On the space-time evolution of a cholera epidemic Water Resources Research, 44, 2008
DOI:10.1029/2007WR006211
View abstract

Azaele S, Pigolotti S, Banavar JR, Maritan A Dynamical evolution of ecosystems. Nature, 444, 926-928, 2006
DOI:10.1038/nature05320
View abstract

Azaele S, Volkov I, Banavar JR, Maritan A Linear one-step processes with artificial boundaries Journal of Statistical Physics, 125, 491-511, 2006
DOI:10.1007/s10955-006-9158-z
View abstract