Mathematics and Statistics
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URI: http://hdl.handle.net/2144/998
Mathematics plays a critical role in efforts to understand the nature of the physical universe and in the continuing development of technology. Emphasizing excellence in both research and teaching, the Mathematics & Statistics Department at BU offers a wide range of courses in pure and applied mathematics and statistics at the undergraduate and graduate level. The department has particularly strong groups in dynamical systems and applications, geometry/topology, mathematical physics, number theory, and probability and statistics.
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Department chair: Tasso Kaper
Campus address: 111 Cummington Street
Phone: 617-353-2560
Fax: 617-353-8100
Website: www.bu.edu/math/
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Catalyst: fast biochemical modeling with Julia
(2022-08) -
Fluctuation analysis for particle-based stochastic reaction-diffusion models
(2022-06)Recent works have derived and proven the large-population mean-field limit for several classes of particle-based stochastic reaction-diffusion (PBSRD) models. These limits correspond to systems of partial integral-differential ... -
How reaction-diffusion PDEs approximate the large-population limit of stochastic particle models
(Society for Industrial & Applied Mathematics (SIAM), 2021-01)Reaction-diffusion PDEs and particle-based stochastic reaction-diffusion (PBSRD) models are commonly used approaches for modeling the spatial dynamics of chemical and biological systems. Standard reaction-diffusion PDE ... -
A tale of three curves
(2022-10-27)In this snapshot, we give a survey of some problems in the study of rational points on higher genus curves, discussing questions ranging from the era of the ancient Greeks to a few posed by mathematicians of the 20th ... -
Perturbation detection through modeling of gene expression on a latent biological pathway network: a Bayesian hierarchical approach
(Taylor & Francis, 2016)Cellular response to a perturbation is the result of a dynamic system of biological variables linked in a complex network. A major challenge in drug and disease studies is identifying the key factors of a biological network ... -
Calibrated model criticism using split predictive checks
(2022-03-29)Checking how well a fitted model explains the data is one of the most fundamental parts of a Bayesian data analysis. However, existing model checking methods suffer from trade-offs between being well-calibrated, automated, ... -
Robust, automated, and accurate black-box variational inference
(2022-03-29)Black-box variational inference (BBVI) now sees widespread use in machine learning and statistics as a fast yet flexible alternative to Markov chain Monte Carlo methods for approximate Bayesian inference. However, stochastic ... -
State space methods for phase amplitude coupling analysis
(Springer Science and Business Media LLC, 2022-09-24)Phase amplitude coupling (PAC) is thought to play a fundamental role in the dynamic coordination of brain circuits and systems. There are however growing concerns that existing methods for PAC analysis are prone to error ... -
Sevoflurane induces coherent slow-delta oscillations in rats
(Frontiers Media SA, 2017)Although general anesthetics are routinely administered to surgical patients to induce loss of consciousness, the mechanisms underlying anesthetic-induced unconsciousness are not fully understood. In rats, we characterized ...
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