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Population Dynamics
Participants
Summary
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Population dynamics is concerned with the temporal fluctuations that occur in populations due to stochastic fluctuations. These populations of interest are multifold, ranging from molecular particles undergoing reaction diffusion, cells undergoing mutation and division processes, through to populations of individuals undergoing birth, death, immigration and emigration, and incorporate factors such as age dependencies. They can also apply to subsystems and macrosystems, such as underlying gene populations, and evolutionary forces working at the species level.
One area of research (Dr. Greenman) is concerned with using techniques from statistical physics to such systems. This includes methods from gas kinetics [2], and path integral techniques from (quantum) field theory [1]. Recent developments/interests include adapting quantum stochastic processes and methods from renormalisation.
Another area of research (Dr Wu) examines the topological and combinatorial structures arising in various evolutionary processes in such systems. This include graphs to identify introgressed hominin sequences and model multiple-wave admixture [3]. Recent interests include using subtree patterns to detect the existence of evolutionary forces such as whole genome duplication.
Partners
NUS
Publications
[1] Duality relations between spatial birth–death processes and diffusions in Hilbert space, CD Greenman, 2020, Journal of Physics A: Mathematical and Theoretical 53 (44), 445002.
[2] A hierarchical kinetic theory of birth, death and fission in age-structured interacting populations, T Chou, CD Greenman, 2016, Journal of statistical physics 164, 49-76.
[3] Refining models of archaic admixture in Eurasia with ArchaicSeeker 2.0, K Yuan, X Ni, …, T Wu, and S Xu, 2021, Nature Communications. 12, 6232.