Kinetic theory of coupled oscillators

Last week, I gave a physics colloquium at the Catholic University of America about recent work on using kinetic theory and field theory approaches to analyze finite-size corrections to networks of coupled oscillators.  My slides are here although they are converted from Keynote so the movies don’t work.   Coupled oscillators arise in  contexts as diverse as … Continue reading Kinetic theory of coupled oscillators

Kinetic Theory of Coupled Oscillators

I have recently published two papers applying ideas from the kinetic theory of plasmas and nonequilibrium statistical mechanics to coupled oscillators. The first is Hildebrand, Buice and Chow, PRL 98:054101 and the second is Buice and Chow, PRE 76:031118. The main concern of both papers is understanding the dynamics of large but not infinite networks … Continue reading Kinetic Theory of Coupled Oscillators

Talk in Taiwan

I’m currently at the National Center for Theoretical Sciences, Math Division, on the campus of the National Tsing Hua University, Hsinchu for the 2013 Conference on Mathematical Physiology.  The NCTS is perhaps the best run institution I’ve ever visited. They have made my stay extremely comfortable and convenient. Here are the slides for my talk on Correlations, … Continue reading Talk in Taiwan

New paper on neural networks

Michael Buice and I have a new paper in Frontiers in Computational Neuroscience as well as on the arXiv (the arXiv version has fewer typos at this point). This paper partially completes the series of papers Michael and I have written about developing generalized activity equations that include the effects of correlations for spiking neural networks. … Continue reading New paper on neural networks

New paper on finite size effects in spiking neural networks

Michael Buice and I have finally published our paper entitled “Dynamic finite size effects in spiking neural networks” in PLoS Computational Biology (link here). Finishing this paper seemed like a Sisyphean ordeal and it is only the first of a series of papers that we hope to eventually publish. This paper outlines a systematic perturbative formalism to … Continue reading New paper on finite size effects in spiking neural networks

Talk today at Johns Hopkins

I’m giving a computational neuroscience lunch seminar today at Johns Hopkins.  I will be talking about my work with Michael Buice, now at the Allen Institute, on how to go beyond mean field theory in neural networks. Technically, I will present our recent work on computing correlations in a network of coupled neurons systematically with a … Continue reading Talk today at Johns Hopkins

Complexity is the narrowing of possibilities

Complexity is often described as a situation where the whole is greater than the sum of its parts. While this description is true on the surface, it actually misses the whole point about complexity. Complexity is really about the whole being much less than the sum of its parts. Let me explain. Consider a television … Continue reading Complexity is the narrowing of possibilities

Two talks at University of Toronto

I’m currently at the University of Toronto to give two talks in a series that is jointly hosted by the Physics department and the Fields Institute.  The Fields Institute is like the Canadian version of the Mathematical Sciences Research Institute in the US and is named in honour of  Canadian mathematician J.C. Fields, who started … Continue reading Two talks at University of Toronto

Systematic fluctuation expansion for neural networks

A new paper  “Systematic fluctuation expansion for neural network activity equations“, by Michael Buice, Jack Cowan and myself has just been uploaded to the q-bio arXiv.  The paper arose from a confluence of my desire to adapt moment hierarchy approaches from kinetic theory to studying fluctuations in neural networks and Michael and Jack’s field theory … Continue reading Systematic fluctuation expansion for neural networks

New paper on gene repression

CC Chow, KK Finn, GB Storchan, X Lu, X Sheng, SS Simons Jr., Kinetically-Defined Component Actions in Gene Repression. PLoS Comp Bio. 11:e1004122, (2015) Abstract Gene repression by transcription factors, and glucocorticoid receptors (GR) in particular, is a critical, but poorly understood, physiological response. Among the many unresolved questions is the difference between GR regulated induction … Continue reading New paper on gene repression

New paper on steroid-mediated gene induction

A follow-up  to our PNAS paper on a new theory of steroid-mediated gene induction is now available on PLoS One here.  The title and abstract is below.  In the first paper, we proposed a general mathematical framework to compute how much protein will be produced from a steroid-mediated gene.  It had been noted in the … Continue reading New paper on steroid-mediated gene induction