23 papers · ranked by Valyu relevance
Rita M. Cantor, Heather J. Cordell
Background We currently have the ability to quantify transcript abundance of messenger RNA (mRNA), genome-wide, using microarray technologies. Analyzing genotype, phenotype and expression data from 20 pedigrees, the members of our Genetic Analysis Workshop (GAW) 19 gene expression group published 9 papers, tackling…
Sean M. Cory, Theodore J. Perkins, Christopher Rao
The transcriptional regulatory machinery of a gene can be viewed as a computational device, with transcription factor concentrations as inputs and expression level as the output. This view begs the question: what kinds of computations are possible? We show that different parameterizations of a simple chemical kinetic…
Stanislav Semenov
We introduce Wave Arithmetic, a smooth analytical framework in which natural, integer, and rational numbers are represented not as discrete entities, but as integrals of smooth, compactly supported or periodic kernel functions. In this formulation, each number arises as the accumulated amplitude of a structured…
Long V. Le, Tae Jung Kim, Young Dong Kim, David E. Aspnes + 1 more
'Philip Broadbridge'] For over five decades, the mathematical procedure termed “maximum entropy” (M-E) has been used to deconvolve structure in spectra, optical and otherwise, although quantitative measures of performance remain unknown. Here, we examine this procedure analytically for the lowest two orders for a…
Haizhang Zhang
The analytic signal method via the Hilbert transform is a key tool in signal analysis and processing, especially in the time-frquency analysis. Imaging and other applications to multidimensional signals call for extension of the method to higher dimensions. We justify the usage of partial Hilbert transforms to define…
Young Joo Seo, Young Hee Kim
In this paper we construct some real algebras by using elementary functions, and discuss some relations between several axioms and its related conditions for such functions. We obtain some conditions for real-valued functions to be a (edge) d-algebra.
Wenxiang Ying, Elious Mondal, Pengfei Huo
The motional narrowing effect has been extensively studied for cavity exciton-polariton systems in recent decades both experimentally and theoretically, which is featured by (1) the subaverage behavior, and (2) the asymmetric linewidths for the upper polariton (UP) and the lower polariton (LP). However, a minimal…
Zhenfeng Cai, Kit Ian Kou
The analytic signal is a useful mathematical tool. It separates qualitative and quantitative information of a signal in form of the local phase and local amplitude. The Clifford Fourier transform (CFT) plays a vital role in the representation of multidimensional signals. By generalizing the CFT to the Clifford linear…
K. James Sangston
This work examines the problem of extending the one-dimensional analytic signal, which is ubiquitous throughout signal processing, to higher dimensional signals. Bulow et al. and Felsberg et al. have previously used techniques from Clifford algebra and analysis to extend the one-dimensional analytic signal to higher…
Authors not listed
The accurate prediction of molecular dipole moments requires high-quality wave functions or electron densities. For systems exhibiting strong electron correlation, multireference methods are essential to reliably describe molecular properties such as dipole moments. We derive and implement analytic expressions for…
Gengsheng L. Zeng
If a spatial-domain function has a finite support, its Fourier transform is an entire function. The Taylor series expansion of an entire function converges at every finite point in the complex plane. The analytic continuation theory suggests that a finite-sized object can be uniquely determined by its frequency…
Tyler Roberts, Yong Zhong Liang, Gerald C. Cupchik, Jonathan S. Cant + 1 more
Expression recognition relies on the ability to distinguish subtle visual differences across a range of facial expressions. Here, we examine the neural representation of dynamic expressions as reflected by electroencephalography (EEG) data in human adults. We find that a wide range of expressions (i.e., 14 emotional…
Bushra Yasmeen, Khalil Ahmad, Ali Akgül, Qasem Al-Mdallal
This paper presents new analytical solutions for the time-fractional Boiti-Leon-Manna-Pempinelli (BLMP) equation, a crucial model for physical phenomena. Our approach yields novel wave solutions, whose propagation and dynamics are examined for diverse parameter values. The obtained solutions contain rational and…
Guillaume J. Filion
Seeding heuristics are the most widely used strategies to speed up sequence alignment in bioinformatics. Such strategies are most successful if they are calibrated, so that the speed-versus-accuracy trade-off can be properly tuned. In the widely used case of read mapping, it has been so far impossible to predict the…
Authors not listed
In this paper we continue our previous investigation about the use of stress function in the flow of generalized Newtonian fluids through conduits of circular and non-circular (or/and multiply connected) cross sections where we inspect the flow of power law fluids in tubes of elliptical cross sections. We derive…
Gengsheng L. Zeng, Ya Li
A unique feature of medical imaging is that the object to be imaged has a compact support. In mathematics, the Fourier transform of a function that has a compact support is an entire function. In theory, an entire function can be uniquely determined by its values in a small region, using, for example, power series…
Janne Kauhanen, Heikki Orelma
The algebra of octonions is a well known non-associative division algebra. The second not so well known feature is, that we may define a function theory, in spirit of classical theory of complex holomorphic functions, and study its properties. This theory has its limitations, since the multiplication is neither…
Authors not listed
Previously we posited that a systematic and general description of stereoisomerism could be based upon the principles of the polytopal rearrangement model. The most daunting challenge to this end is to comprehensively describe all possible geometries for arbitrary n-coordinate centres, ABn, and for this we have…
Authors not listed
A method has been introduced to derive the solution of the time-independent Schrodinger equation for the simple harmonic oscillator. A trial solution has been chosen as the product of the divergent part of the approximate asymptomatic solution of the Schrodinger equation and an unknown function. By inserting this trial…
Laurie Bayet, Katherine L. Perdue, Hannah F. Behrendt, John E. Richards + 3 more
Facial emotion processing is an important social skill that develops throughout infancy and early childhood. Here we investigate the neural underpinnings of the ability to process facial emotion across changes in facial identity in cross-sectional groups of 5- and 7-month-old infants. We simultaneously measured neural…
Sanjeev Nara, Dheeraj Rathee, Nicola Molinaro, Naomi Du Bois + 2 more
Emotion processing has been a focus of research in psychology and neuroscience for some decades. While the evoked neural markers in human brain activations in response to different emotions have been reported, the temporal dynamics of emotion processing has received less attention. Differences in processing speeds…
V.Yu. Karpova, E.S. Mikhailova, N.Yu. Gerasimenko, A.B. Kushnir + 2 more
This study investigated facial emotion processing in non-medicated young students (girls) with panic disorder. 13 young girls with panic disorder and 14 matched healthy controls were recruited. Evoked potential (EP) components P100, N150, and P300 in the posterior areas, and N200, P300, and late negativity were…
Charles Eads
This report describes and illustrates a set of automatable multicomponent exponential relaxation analysis protocols that are model-agnostic and suited to extracting information under circumstances when little prior knowledge about the underlying system is used. Methods are illustrated and mathematical and physical…