Period Three Implies Chaos
The way phenomena or processes evolve or change in time is often described by differential equations or difference equations. One of the simplest mathematical situations occurs when the phenomenon…
Chaos: An Introduction to Dynamical Systems
One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential…
GAGE: A critical evaluation of genome assemblies and assembly algorithms.
Evaluating several of the leading de novo assembly algorithms on four different short-read data sets generated by Illumina sequencers concludes that data quality, rather than the assembler itself, has a dramatic effect on the quality of an assembled genome.
The MaSuRCA genome assembler
- A. Zimin, G. Marçais, D. Puiu, Michael Roberts, S. Salzberg, J. Yorke
- Computer ScienceBioinform.
- 1 November 2013
A new hybrid approach that has the computational efficiency of de Bruijn graph methods and the flexibility of overlap-based assembly strategies, and which allows variable read lengths while tolerating a significant level of sequencing error is described.
A whole-genome assembly of the domestic cow, Bos taurus
By using independent mapping data and conserved synteny between the cow and human genomes, this work was able to construct an assembly with excellent large-scale contiguity in which a large majority (approximately 91%) of the genome has been placed onto the 30 B. taurus chromosomes.
On the existence of invariant measures for piecewise monotonic transformations
A class of piecewise continuous, piecewise C transformations on the interval [0,1] is shown to have absolutely continuous invariant measures.
The Atlantic salmon genome provides insights into rediploidization
It is found that genes that were retained as duplicates after the teleost-specific whole-genome duplication 320 million years ago were not more likely to be retained after the Ss4R, and that the duplicate retention was not influenced to a great extent by the nature of the predicted protein interactions of the gene products.
A local ensemble Kalman filter for atmospheric data assimilation
A new, local formulation of the ensemble Kalman Filter approach for atmospheric data assimilation based on the hypothesis that, when the Earth's surface is divided up into local regions of moderate size, vectors of the forecast uncertainties in such regions tend to lie in a subspace of much lower dimension than that of the full atmospheric state vector of such a region.
A Deterministic Model for Gonorrhea in a Nonhomogeneous Population