7 papers · ranked by Valyu relevance
Martin Schlather
Since the calculation of a genomic relationship matrix needs a large number of arithmetic operations, fast implementations are of interest. Our fastest algorithm is more accurate and 25× faster than a AVX double precision floating-point implementation.
Jane W. Liang, Robert J. Nichols, Śaunak Sen
We develop a flexible and computationally efficient approach for analysing high throughput chemical genetic screens. In such screens, a library of genetic mutants is phenotyped in a large number of stresses. The goal is to detect interactions between genes and stresses. Typically, this is achieved by grouping the…
Kangbien Park, Yonghee Bae
Drift, selection, and mutation are integral evolutionary factors. In this article, operator model is newly suggested to intuitively represent those evolutionary factors into mathematical operators, and to ultimately offer unconventional methodology for understanding evolutionary dynamics. To be specific, each of the…
Bingjie Wu, Ramon Grima, Chen Jia
A survey of the literature reveals notable discrepancies among the purported exact results for the spectra of stochastic gene expression models. For self-repressing gene circuits, previous studies ([Phys. Rev. Lett. 99, 108103 (2007)], [Phys. Rev. E 83,062902 (2011)], [J. Chem. Phys. 160, 074105 (2024)], and [bioRxiv…
M. L. Kringelbach, G. Deco
Brain dynamics can be described in three different convenient mathematical languages, namely connectome harmonics, turbulence and complex harmonics (CHARM). Here we demonstrate that these theoretical frameworks can be rigorously unified, under the functional calculus, as one self-adjoint operator and its single…
Carl A. Whitfield, Peter Latimer, Alex Horsley, Jim M. Wild + 2 more
This paper introduces a linear operator for the purposes of quantifying the spectral properties of transport within resistive trees, such as airflow in lung airway networks. The operator, which we call the Maury matrix, acts only on the terminal nodes of the tree and is equivalent to the adjacency matrix of a complete…
Yonatan Kleerekoper, Mohammad Kurtam, Yitzhak Schiller, Hadas Benisty
Understanding the temporal dynamics of high-dimensional, time-varying systems remains a fundamental challenge across scientific disciplines. In many real-world systems, the interactions between sensors are also time-varying, which presents an additional level of complexity in extracting a meaningful representation and…