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Motivation: Molecular interaction networks summarize complex biological processes as graphs, whose structure is informative of biological function at multiple scales. Simultaneously, omics technologies measure the variation or activity of…

Quantitative Methods · Quantitative Biology 2020-12-24 Ramin Hasibi , Tom Michoel

Synthetic biology is a recent area of biological engineering, whose aim is to provide cells with novel functionalities. A number of important results regarding the development of control circuits in synthetic biology have been achieved…

Systems and Control · Electrical Eng. & Systems 2024-11-11 Antón Pardo , Sandra Díaz Seoane , Dorin A. Ionescu , Antonis Papachristodoulou , Alejandro F. Villaverde

Automated Theorem Proving (ATP) is an established branch of Artificial Intelligence. The purpose of ATP is to design a system which can automatically figure out an algorithm either to prove or disprove a mathematical claim, on the basis of…

Artificial Intelligence · Computer Science 2014-12-19 Mohammad Murtaza Mahmud , Swakkhar Shatabda , Mohammad Nurul Huda

Understanding the geometric relationships between objects in a scene is a core capability in enabling both humans and autonomous agents to navigate in new environments. A sparse, unified representation of the scene topology will allow…

Computer Vision and Pattern Recognition · Computer Science 2022-05-18 Zachary Seymour , Niluthpol Chowdhury Mithun , Han-Pang Chiu , Supun Samarasekera , Rakesh Kumar

It is well known that Drug Design is often a costly process both in terms of time and economic effort. While good Quantitative Structure-Activity Relationship models (QSAR) can help predicting molecular properties without the need to…

Biomolecules · Quantitative Biology 2022-02-14 Dylan Savoia , Alessio Ragno , Roberto Capobianco

This limited review is intended as an introduction to the fast growing subject of mathematical modelling of cell metabolism and its biochemical pathways, and more precisely on pathways linked to apoptosis of cancerous cells. Some basic…

Molecular Networks · Quantitative Biology 2013-10-03 Bernard Ycart , Frédéric Pont , Jean-Jacques Fournié

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

Graph neural networks have developed by leaps and bounds in recent years due to the restriction of traditional convolutional filters on non-Euclidean structured data. Spectral graph theory mainly studies fundamental graph properties using…

Spectral Theory · Mathematics 2023-09-08 Xinye Chen

Given the set of paths through a digraph, the result of uniformly deleting some vertices and identifying others along each path is coherent in such a way as to yield the set of paths through another digraph, called a \emph{path abstraction}…

Combinatorics · Mathematics 2017-01-27 Steve Huntsman

Gene interaction graphs aim to capture various relationships between genes and can represent decades of biology research. When trying to make predictions from genomic data, those graphs could be used to overcome the curse of dimensionality…

Cells use genetic switches to shift between alternate stable gene expression states, e.g., to adapt to new environments or to follow a developmental pathway. Conceptually, these stable phenotypes can be considered as attractive states on an…

Molecular Networks · Quantitative Biology 2021-06-18 Michael Assaf , Shay Be'er , Elijah Roberts

In Artificial Intelligence, planning refers to an area of research that proposes to develop systems that can automatically generate a result set, in the form of an integrated decision-making system through a formal procedure, known as plan.…

Artificial Intelligence · Computer Science 2013-11-20 Sofia Benbelkacem , Baghdad Atmani , Mohamed Benamina

Density map is an effective visualization technique for depicting the scalar field distribution in 2D space. Conventional methods for constructing density maps are mainly based on Euclidean distance, limiting their applicability in urban…

Human-Computer Interaction · Computer Science 2021-03-08 Zezheng Feng , Haotian Li , Wei Zeng , Shuang-Hua Yang , Huamin Qu

Gene conversion is a mechanism by which a double-strand break in a DNA molecule is repaired using a homologous DNA molecule as a template. As a result, one gene is 'copied and pasted' onto the other gene. It was recently reported that the…

Populations and Evolution · Quantitative Biology 2013-04-08 Shuhei Mano

Directed graphs are a natural model for many phenomena, in particular scientific knowledge graphs such as molecular interaction or chemical reaction networks that define cellular signaling relationships. In these situations, source nodes…

A graph is a path graph if it is the intersection graph of a family of subpaths of a tree. In 1970, Renz asked for a characterizaton of path graphs by forbidden induced subgraphs. Here we answer this question by listing all graphs that are…

Discrete Mathematics · Computer Science 2008-12-18 Benjamin Lévêque , Frédéric Maffray , Myriam Preissmann

Complex biological networks are fundamental to biomedical science, capturing interactions among molecules, cells, genes, and tissues. Deciphering these networks is critical for understanding health and disease, yet their scale and…

Machine Learning · Computer Science 2025-12-09 Sakib Mostafa , Lei Xing , Md. Tauhidul Islam

Deep learning on graphs has become a popular research topic with many applications. However, past work has concentrated on learning graph embedding tasks, which is in contrast with advances in generative models for images and text. Is it…

Machine Learning · Computer Science 2018-02-13 Martin Simonovsky , Nikos Komodakis

Genetic regulatory networks enable cells to respond to the changes in internal and external conditions by dynamically coordinating their gene expression profiles. Our ability to make quantitative measurements in these biochemical circuits…

Biological Physics · Physics 2015-03-17 Aleksandra M Walczak , Gašper Tkačik

The epidemic spreading of a disease can be described by a contact network whose nodes are persons or centers of contagion and links heterogeneous relations among them. We provide a procedure to identify multiple sources of an outbreak or…

Mathematical Physics · Physics 2012-11-13 Vincenzo Fioriti , Marta Chinnici