A5102972473- Random Matrices and Applications
- Advanced Algebra and Geometry
- Advanced Combinatorial Mathematics
- Stochastic processes and statistical mechanics
- Geometry and complex manifolds
- Genetic diversity and population structure
- Fish Ecology and Management Studies
- Graph theory and applications
- Genetic and phenotypic traits in livestock
- Point processes and geometric inequalities
- Environmental DNA in Biodiversity Studies
- Analytic Number Theory Research
- Genetics, Aging, and Longevity in Model Organisms
- Markov Chains and Monte Carlo Methods
- Spectral Theory in Mathematical Physics
- Mathematical Dynamics and Fractals
- advanced mathematical theories
- Microtubule and mitosis dynamics
- Mathematical functions and polynomials
- Genomics and Phylogenetic Studies
- Photosynthetic Processes and Mechanisms
- Aquatic Invertebrate Ecology and Behavior
- Amphibian and Reptile Biology
- Geometric Analysis and Curvature Flows
- Sparse and Compressive Sensing Techniques
University of California, Davis
2014-2024
University of Colorado Boulder
2015-2024
University of Colorado System
2014-2021
Stanford University
2021
Indian Institute of Technology Bhubaneswar
2021
Watershed Center
2018
John Innes Centre
2008-2016
University of Oregon
2003-2015
Yale University
2013-2014
UConn Health
2013
Accounting for specific alleles can be necessary to prevent the loss of significant biodiversity and ecosystem services.
Chromosome segregation requires stable bipolar attachments of spindle microtubules to kinetochores. The dynein/dynactin motor complex localizes transiently kinetochores and is implicated in chromosome segregation, but its role remains poorly understood. Here, we use the Caenorhabditis elegans embryo investigate function kinetochore dynein by analyzing Rod/Zwilch/Zw10 (RZZ) associated coiled-coil protein SPDL-1. Both components are essential for Mad2 targeting checkpoint activation. RZZ...
All of the genetic elements necessary for production antibiotic methylenomycin (Mm) and its regulation are contained within 22-kb mmy-mmf gene cluster, which is located on 356-kb linear plasmid SCP1 Streptomyces coelicolor A3( 2 ). A putative operon 3 genes this mmfLHP , was proposed to direct biosynthesis an A-factor-like signaling molecule, could play a role in Mm biosynthesis. The expressed under control native promoter S. M512, host lacking plasmid, ability produce prodiginine...
Phenotypic variation is critical for the long-term persistence of species and populations. Anthropogenic activities have caused substantial shifts reductions in phenotypic across diverse taxa, but underlying mechanism(s) (i.e., plasticity and/or genetic evolution) consequences (e.g., ability to recover variation) are unclear. Here we investigate widespread dramatic changes adult migration characteristics wild Chinook salmon by dam construction other anthropogenic activities. Strikingly, find...
Abstract Many traits are subject to assortative mating, with recent molecular genetic findings confirming longstanding theoretical predictions that mating induces long range dependence across causal variants. However, all marker-based heritability estimators implicitly assume is random. We provide mathematical and simulation-based evidence demonstrating both method-of-moments likelihood-based biased in the presence of derive corrected for assortment. Finally, we demonstrate empirical...
We consider the product of a finite number non-Hermitian random matrices with i.i.d. centered entries growing size. assume that have moment order bigger than two. show empirical spectral distribution properly normalized converges, almost surely, to non-random, rotationally invariant compact support in complex plane. The limiting is power circular law.
Journal Article The Elliptic Law Get access Hoi H. Nguyen, Nguyen 1Department of Mathematics, Ohio State University 231 West 18th Avenue, Columbus, OH 43210, USA Correspondence to be sent to: sean.d.orourke@colorado.edu Search for other works by this author on: Oxford Academic Google Scholar Sean O'Rourke 2Department Colorado at Boulder, Campus Box 395, CO 80309-0395, International Mathematics Research Notices, Volume 2015, Issue 17, Pages 7620–7689, https://doi.org/10.1093/imrn/rnu174...
Abstract Landscape permeability is often explored spatially, but may also vary temporally. permeability, including partial barriers, influences migratory animals that move across the landscape. Partial barriers are common in rivers where barrier passage varies with streamflow. We explore influence of on spatial and temporal distribution migration‐linked genotypes Oncorhynchus mykiss , a salmonid fish co‐occurring resident forms, tributaries to South Fork Eel River, California, USA, Elder Fox...
Cytoplasmic dynein is a microtubule-dependent motor protein that functions in mitotic cells during centrosome separation, metaphase chromosome congression, anaphase spindle elongation, and segregation. Dynein also utilized interphase for vesicle transport organelle positioning. While numerous cellular processes require cytoplasmic dynein, the mechanisms target regulate this microtubule remain largely unknown. By screening conditional Caenorhabditis elegans heavy chain mutant at...
To study essential maternal gene requirements in the early C. elegans embryo, we have screened for temperature-sensitive, embryonic lethal mutations an effort to bypass zygotic such genes during larval and adult germline development. With conditional alleles, multiple can be examined by shifting at different times from permissive temperature of 15°C restrictive 26°C. Here describe 24 that affect 13 loci report identity responsible lethality 22 mutants. All but four are mis-sense mutations,...
We study the asymptotic behavior of outliers in spectrum bounded rank perturbations large random matrices. In particular, we consider elliptic matrices which generalize both Wigner and non-Hermitian with iid entries. As a consequence, recover results Capitaine, Donati-Martin, Féral for perturbed as well Tao Along way, prove number interesting concerning whose entries have finite fourth moment; these include bound on least singular value spectral radius. <br />
Abstract Identifying the genetic architecture of complex phenotypes is a central goal modern biology, particularly for disease‐related traits. Genome‐wide association methods are classical approach identifying genomic basis variation in disease phenotypes, but such analyses challenging natural populations due to sample size difficulties. Extensive mark–recapture data, strong linkage disequilibrium and lethal transmissible cancer make Tasmanian devil ( Sarcophilus harrisii ) an ideal model...
Bioinformatic analysis of the plasmid-linked gene cluster associated with biosynthesis methylenomycin (Mm) suggested that part directs synthesis a gamma-butyrolactone-like autoregulator. Autoregulator activity could be extracted from culture fluids, but differed gamma-butyrolactones in being alkali resistant. The has recently been shown to comprise series novel autoregulator molecules, furans (termed MMF). MMF is account for ability certain Mm non-producing mutants act as 'secretors'...
We study the fluctuations of eigenvalues from a class Wigner random matrices that generalize Gaussian orthogonal ensemble. begin by considering an $n \times n$ matrix ensemble (GOE) or symplectic (GSE) and let $x_k$ denote eigenvalue number $k$. Under condition both $k$ $n-k$ tend to infinity with $n$, we show is normally distributed in limit. also consider joint limit distribution $m$ GOE GSE similar conditions on indices. The result $m$-dimensional normal distribution. Using recent...
It is conjectured by Godsil [Anna. Comb., 16 (2012), pp. 733--744] that the relative number of controllable graphs compared to total simple on $n$ vertices approaches one as tends infinity. We prove this conjecture true. More generally, our methods show linear system formed from pair $(W,b)$ for a large class Wigner random matrices $W$ and deterministic vectors $b$. The proof relies recent advances in Littlewood--Offord theory developed Rudelson Vershynin [Geom. Funct. Anal., appear; at Adv....
Abstract Invasive hybridization and introgression pose a serious threat to the persistence of many native species. Understanding effects on populations (e.g., fitness consequences) requires numerous species-diagnostic loci distributed genome-wide. Here we used RAD sequencing discover thousands single-nucleotide polymorphisms (SNPs) that are diagnostic between rainbow trout (RBT, Oncorhynchus mykiss), world’s most widely introduced fish, westslope cutthroat (WCT, O. clarkii lewisi) in...
Abstract Phenotypic variation is critical for the long-term persistence of species and populations. Anthropogenic activities have caused substantial shifts reductions in phenotypic across diverse taxa, but underlying mechanism (i.e., plasticity and/or genetic evolution) potential to recover previous characteristics are unclear. Here we investigate changes adult migration wild salmon populations by dam construction other anthropogenic habitat modifications. Strikingly, find that dramatic...
Partial migration is a common phenomenon wherein populations include migratory and resident individuals. Whether an individual migrates or not has important ecological management implications, particularly within protected populations. Within partially of Oncorhynchus mykiss, highly correlated with specific genomic region, but it unclear how well this region predicts at the level. Here, we relate sex life history genotype, determined using >400 single nucleotide polymorphisms (SNPs) on...
Fire-induced changes in the abundance and distribution of organisms, especially plants, can alter resource landscapes for mobile consumers driving bottom-up effects on their population sizes, morphologies reproductive potential. We expect these impacts to be most striking obligate visitors like bees other pollinators, but difficult interpret due limited information provided by forager counts absence survival or fitness proxies. Increased bumble bee worker is often coincident with pulses...