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Understanding how genes interact and relate to each other is a fundamental question in biology. However, current practices for describing these relationships, such as drawing diagrams or graphs in a somewhat arbitrary manner, limit our…

Other Quantitative Biology · Quantitative Biology 2023-11-16 Yanying Wu

Networks (graphs) in psychology are often restricted to settings without interventions. Here we consider a framework borrowed from biology that involves multiple interventions from different contexts (observations and experiments) in a…

Methodology · Statistics 2024-09-23 Lourens Waldorp , Jolanda Kossakowski , Han L. J. van der Maas

Complex systems of intracellular biochemical reactions have a central role in regulating cell identities and functions. Biochemical reaction systems are typically studied using the language and tools of graph theory. However, graph…

Combinatorics · Mathematics 2021-09-24 Raffaella Mulas , Rubén J. Sánchez-García , Ben D. MacArthur

We consider the problem of statistical inference on unknown quantities structured as a multiway table. We show that such multiway tables are naturally formed by arranging regression coefficients in complex systems of linear models for…

Methodology · Statistics 2013-09-06 Xiaoquan Wen

Rapid advance of experimental techniques provides an unprecedented in-depth view into complex developmental processes. Still, little is known on how the complexity of multicellular organisms evolved by elaborating developmental programs and…

Molecular Networks · Quantitative Biology 2021-07-16 Somya Mani , Tsvi Tlusty

Pathways are integral to systems biology. Their classical representation has proven useful but is inconsistent in the meaning assigned to each arrow (or edge) and inadvertently implies the isolation of one pathway from another. Conversely,…

A path graph is the intersection graph of paths in a tree. A directed path graph is the intersection graph of paths in a directed tree. Even if path graphs and directed path graphs are characterized very similarly, their recognition…

Data Structures and Algorithms · Computer Science 2025-05-07 Lorenzo Balzotti

We introduce a graphical method originating from the computer graphics domain that is used for the arbitrary and intuitive placement of cells over a two-dimensional manifold. Using a bitmap image as input, where the color indicates the…

Neural and Evolutionary Computing · Computer Science 2018-03-23 Nicolas P. Rougier

Signaling pathways are responsible for the regulation of cell processes, such as monitoring the external environment, transmitting information across membranes, and making cell fate decisions. Given the increasing amount of biological data…

Molecular Networks · Quantitative Biology 2020-04-07 Daniel Inostroza , Cecilia Hernández , Diego Seco , Gonzalo Navarro , Alvaro Olivera-Nappa

The human brain can be considered to be a graphical structure comprising of tens of billions of biological neurons connected by synapses. It has the remarkable ability to automatically re-route information flow through alternate paths in…

Machine Learning · Computer Science 2022-08-26 Hang Li , Qadeer Khan , Volker Tresp , Daniel Cremers

Diseases involve complex processes and modifications to the cellular machinery. The gene expression profile of the affected cells contains characteristic patterns linked to a disease. Hence, biological knowledge pertaining to a disease can…

Quantitative Methods · Quantitative Biology 2020-04-13 Thomas Gaudelet , Noel Malod-Dognin , Jon Sanchez-Valle , Vera Pancaldi , Alfonso Valencia , Natasa Przulj

It is basic question in biology and other fields to identify the char- acteristic properties that on one hand are shared by structures from a particular realm, like gene regulation, protein-protein interaction or neu- ral networks or…

Quantitative Methods · Quantitative Biology 2012-10-19 Anirban Banerjee , Jürgen Jost

Gene Ontology (GO) is the primary gene function knowledge base that enables computational tasks in biomedicine. The basic element of GO is a term, which includes a set of genes with the same function. Existing research efforts of GO mainly…

Artificial Intelligence · Computer Science 2022-06-27 Fenglin Liu , Bang Yang , Chenyu You , Xian Wu , Shen Ge , Adelaide Woicik , Sheng Wang

Graph transformation systems have the potential to be realistic models of chemistry, provided a comprehensive collection of reaction rules can be extracted from the body of chemical knowledge. A first key step for rule learning is the…

Discrete Mathematics · Computer Science 2016-04-22 Christoph Flamm , Daniel Merkle , Peter F. Stadler , Uffe Thorsen

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

Advances in deep learning models have revolutionized the study of biomolecule systems and their mechanisms. Graph representation learning, in particular, is important for accurately capturing the geometric information of biomolecules at…

Quantitative Methods · Quantitative Biology 2023-04-07 Xinye Xiong , Bingxin Zhou , Yu Guang Wang

A biological pathway represents a set of genes that serves a particular cellular or a physiological function. The genes within the same pathway are expected to function together and hence may interact with each other. It is also known that…

Methodology · Statistics 2012-06-14 Zaili Fang , Inyoung Kim , Jeesun Jung

In this paper, we introduce a new approach for drawing diagrams that have applications in software visualization. Our approach is to use a technique we call confluent drawing for visualizing non-planar diagrams in a planar way. This…

Computational Geometry · Computer Science 2007-05-23 Matthew Dickerson , David Eppstein , Michael T. Goodrich , Jeremy Meng

Pathway Tools is a bioinformatics software environment with a broad set of capabilities. The software provides genome-informatics tools such as a genome browser, sequence alignments, a genome-variant analyzer, and comparative-genomics…

In many ways, graphs are the main modality of data we receive from nature. This is due to the fact that most of the patterns we see, both in natural and artificial systems, are elegantly representable using the language of graph structures.…

Machine Learning · Computer Science 2023-09-06 Petar Veličković