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The problem of computing differential constraints for a family of evolution PDEs is discussed from a constructive point of view. A new method, based on the existence of generalized characteristics for evolution vector fields, is proposed in…

Mathematical Physics · Physics 2020-08-04 Francesco C. De Vecchi , Paola Morando

We are facing a real challenge when coping with the continuous acceleration of scientific production and the increasingly changing nature of science. In this article, we extend the classical framework of co-word analysis to the study of…

Physics and Society · Physics 2015-03-13 David Chavalarias , Jean-Philippe Cointet

The representation of a biochemical network as a graph is the coarsest level of description in cellular biochemistry. By studying the network structure one can draw conclusions on the large scale organisation of the biochemical processes.…

Molecular Networks · Quantitative Biology 2007-05-23 Petter Holme , Mikael Huss

Polythene has always been a threat to the environment since its invention. It is non-biodegradable and very difficult to recycle. Even after many awareness campaigns and practices, Separation of polythene bags from waste has been a…

Computer Vision and Pattern Recognition · Computer Science 2021-01-26 Divyansh Singh

One thing that discriminates living things from inanimate matter is their ability to generate similarly complex or non-random architectures in a large abundance. From DNA sequences to folded protein structures, living cells, microbial…

Other Quantitative Biology · Quantitative Biology 2018-02-07 Stuart M. Marshall , Alastair R. G. Murray , Leroy Cronin

By providing a framework of accounting for the shared ancestry inherent to all life, phylogenetics is becoming the statistical foundation of biology. The importance of model choice continues to grow as phylogenetic models continue to…

Populations and Evolution · Quantitative Biology 2019-02-05 Jamie R. Oaks , Kerry A. Cobb , Vladimir N. Minin , Adam D. Leaché

Due to the recent advances in high-throughput sequencing technologies, it becomes possible to directly analyze microbial communities in the human body and in the environment. Knowledge of how microbes interact with each other and form…

Quantitative Methods · Quantitative Biology 2018-07-24 Chieh Lo , Radu Marculescu

There is a growing awareness of the important roles that microbial communities play in complex biological processes. Modern investigation of these often uses next generation sequencing of metagenomic samples to determine community…

Applications · Statistics 2018-01-25 Adrian Dobra , Camilo Valdes , Dragana Ajdic , Bertrand Clarke , Jennifer Clarke

We present Patherea, a unified framework for point-based cell detection and classification that enables the development and fair evaluation of state-of-the-art methods. To support this, we introduce a large-scale dataset that replicates the…

Image and Video Processing · Electrical Eng. & Systems 2025-07-17 Dejan Štepec , Maja Jerše , Snežana Đokić , Jera Jeruc , Nina Zidar , Danijel Skočaj

We compute the trace decategorification of the Hecke category for an arbitrary Coxeter group. More generally, we introduce the notion of a strictly object-adapted cellular category and calculate the trace for such categories.

Representation Theory · Mathematics 2015-12-18 Ben Elias , Aaron D. Lauda

In entomology and ecology research, biologists often need to collect a large number of insects, among which beetles are the most common species. A common practice for biologists to organize beetles is to place them on trays and take a…

Multibillion-clone landscape phage display libraries were prepared by the fusion of the phage major coat protein pVIII with foreign random peptides. Phage particles and their proteins specific for cancer and bacterial cells were selected…

Materials Science · Physics 2007-08-13 Valery A. Petrensko , S. -N. Ustino , I-Hsuan Chen

Reconciling a gene tree with a species tree is an important task that reveals much about the evolution of genes, genomes, and species, as well as about the molecular function of genes. A wide array of computational tools have been devised…

Populations and Evolution · Quantitative Biology 2012-12-11 Yun Yu , Luay Nakhleh

Despite encouraging recent progresses in ensemble approaches, classification methods seem to have reached a plateau in development. Further advances depend on a better understanding of geometrical and topological characteristics of point…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Tin Kam Ho

High throughput sequencing (HTS)-based technology enables identifying and quantifying non-culturable microbial organisms in all environments. Microbial sequences have enhanced our understanding of the human microbiome, the soil and plant…

Applications · Statistics 2021-03-09 Pratheepa Jeganathan , Susan P. Holmes

Classification of galaxies is traditionally associated with their morphologies through visual inspection of images. The amount of data to come renders this task inhuman and Machine Learning (mainly Deep Learning) has been called to the…

Astrophysics of Galaxies · Physics 2023-06-14 Didier Fraix-Burnet

Protein fold classification is a classic problem in structural biology and bioinformatics. We approach this problem using persistent homology. In particular, we use alpha shape filtrations to compare a topological representation of the data…

Biomolecules · Quantitative Biology 2021-08-23 W. Hamilton , J. E. Borgert , T. Hamelryck , J. S. Marron

Phylogenomics heavily relies on well-curated sequence data sets that consist, for each gene, exclusively of 1:1-orthologous. Paralogs are treated as a dangerous nuisance that has to be detected and removed. We show here that this severe…

Discrete Mathematics · Computer Science 2017-12-19 Marc Hellmuth , Nicolas Wieseke , Marcus Lechner , Hans-Peter Lenhof , Martin Middendorf , Peter F. Stadler

Lichens are symbiotic organisms composed of fungi, algae, and/or cyanobacteria that thrive in a variety of environments. They play important roles in carbon and nitrogen cycling, and contribute directly and indirectly to biodiversity.…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Safwen Naimi , Olfa Koubaa , Wassim Bouachir , Guillaume-Alexandre Bilodeau , Gregory Jeddore , Patricia Baines , David Correia , Andre Arsenault

In the first section of these lectures I outline the classical framework of the Hubble classification system. Because of space limitations I will focus on points of controversy concerning the physical interpretation of the Hubble sequence,…

Astrophysics · Physics 2007-05-23 R. G. Abraham