41 citations · 59 across the 11 of their papers we have counts for
11 papers
Mathematic principles underlying genetic structures
Matthew J. Berryman
Many people are familiar with the physico-chemical properties of gene sequences. In this paper I present a mathematical perspective: how do mathematical principles such as informat…
Scaling in Small-World Resistor Networks
G. Korniss, M. B. Hastings, K. E. Bassler +3
We study the effective resistance of small-world resistor networks. Utilizing recent analytic results for the propagator of the Edwards-Wilkinson process on small-world networks, w…
Nonlinear aspects of the EEG during sleep in children
Matthew J. Berryman, Scott W. Coussens, Yvonne Pamula +7
Electroencephalograph (EEG) analysis enables the neuronal behavior of a section of the brain to be examined. If the behavior is nonlinear then nonlinear tools can be used to glean…
Mutual information for examining correlations in DNA
Matthew J. Berryman, Andrew Allison, Derek Abbott
This paper examines two methods for finding whether long-range correlations exist in DNA: a fractal measure and a mutual information technique. We evaluate the performance and impl…
Fluctuations and noise in cancer development
Matthew J. Berryman, Sabrina L. Spencer, Andrew Allison +1
This paper explores fluctuations and noise in various facets of cancer development. The three areas of particular focus are the stochastic progression of cells to cancer, fluctuati…
Stochastic evolution and multifractal classification of prokaryotes
Matthew J. Berryman, Andrew Allison, Derek Abbott
We introduce a model for simulating mutation of prokaryote DNA sequences. Using that model we can then evaluated traditional techniques like parsimony and maximum likelihood method…