muller lab department of applied mathematics western university

we are a lab for computational and theoretical neuroscience at western university in london, ontario. we develop computational tools and mathematical models to solve problems in sensory processing and memory.

code repositories --------------------------------------------

wave: toolbox for analysis and visualization of noisy multisite spatiotemporal data. Originally developed for multichannel recordings in neuroscience, the functions in wave are general and applicable to multisite data in biology, ecology, climatology, and experimental physics. [MATLAB]

Published in: Muller et al., Nature Communications 5, 2014; Muller et al., eLife 5, 2016

generalized-phase: implementation of the "generalized phase" (GP) approach to analysis of wideband signals. the GP represents a comprehensive numerical approach to the original analytical signal framework introduced by Denis Gabor in 1946, correcting technical limitations that appear in the complex representation of non-stationary, non-narrowband signals. [MATLAB]

Published in: Davis*, Muller* et al., Nature 587, 2020 (*equal contribution)

NETSIM: a fast and efficient simulator for spiking neural networks. Written in C, the focus of this software is to enable large-scale simulations of networks ranging from 100,000 to 1,000,000 neurons with biologically realistic connectivity on platforms ranging from relatively standard high-memory desktop workstations to compute clusters. [C]

Published in: Davis*, Benigno*, Fletterman* et al., Nature Communications 12, 2021 (*equal contribution)

complex-kuramoto: implementation of the complex-valued approach to the Kuramoto model. this approach introduces a complex-valued system, closely related to the formulation of the original, nonlinear Kuramoto model defined in the reals. the advantage of this approach is to provide a direct connection between the spectrum of the adjacency matrix and the resulting nonlinear dynamics. [MATLAB]

Published in: Budzinski*, Nguyen*, et al., Chaos 32, 2022 (*equal contribution)

contact ------------------------------------------------------

Lyle Muller: 

acknowledgements ---------------------------------------------

our research work is generously supported by the Western Academy for Advanced Research, BrainsCAN, Compute Canada, and an international NSF NeuroNex award (#2015276)