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The $25,000,000,000 Eigenvector: The Linear Algebra behind Google
Analysis of the PageRank formula provides a wonderful applied topic for a linear algebra course and complements the discussion of Markov chains in matrix algebra.
Dynamic Interactions Mediated by Nonredundant Signaling Mechanisms Couple Circadian Clock Neurons
Voluntary exercise can strengthen the circadian system in aged mice
The impact of voluntary exercise on circadian rhythm properties in an aged animal is a novel finding and has implications for the health of older people living with environmentally induced circadian disruption.
Aging Differentially Affects the Re-entrainment Response of Central and Peripheral Circadian Oscillators
- M. Sellix, Jennifer A. Evans, A. Davidson
- Biology, PsychologyThe Journal of Neuroscience
- 14 November 2012
A pattern of results suggests that a major consequence of aging is a decrease in pacemaker amplitude, which would slow re-entrainment of peripheral oscillators and reduce SCN resistance to external perturbation.
Visualizing jet lag in the mouse suprachiasmatic nucleus and peripheral circadian timing system
- A. Davidson, O. Castanon-Cervantes, T. Leise, P. Molyneux, M. Harrington
- BiologyThe European journal of neuroscience
- 1 January 2009
There were significant differences in shifting kinetics among mice, among organs such as the spleen and lung, and importantly among neurons in the SCN, the master pacemaker in the brain, as measured by a circadian reporter gene.
Intrinsic Regulation of Spatiotemporal Organization within the Suprachiasmatic Nucleus
A comprehensive analysis of oscillatory function across the SCN of the adult PER2::LUC mouse is undertaken by developing a novel approach involving multi-position bioluminescence imaging and unbiased computational analyses, showing for the first time that phase differences are not systematically related to regional differences in period, waveform, amplitude, or brightness.
Wavelet analysis of circadian and ultradian behavioral rhythms
- T. Leise
- BiologyJournal of circadian rhythms
- 1 July 2013
Time-frequency methods that can localize frequency estimates in time are more appropriate for analysis of ultradian periods and of fluctuations in the period.
Dynamics and Ultradian Structure of Human Sleep in Real Life
Wavelet Meets Actogram
- T. Leise, P. Indic, M. Paul, W. Schwartz
- Environmental ScienceJournal of biological rhythms
- 1 February 2013
How wavelet-based methods can be extended to the analysis of conventional actograms, including the detection of onsets in circadian activity and temperature rhythms of rodents, is examined.
Measuring Resource Inequality: The Gini Coefficient
This paper stems from work done by the authors at the Mathematics for Social Justice Workshop held in June of 2007 at Middlebury College. We provide a description of the Gini coefficient and some…