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Causal and counterfactual reasoning are emerging directions in data science that allow us to reason about hypothetical scenarios. This is particularly useful in fields like environmental and ecological sciences, where interventional data…

Artificial Intelligence · Computer Science 2024-12-06 Rafael Cabañas , Ana D. Maldonado , María Morales , Pedro A. Aguilera , Antonio Salmerón

Although models are built on the basis of some observations of reality, the concepts that derive theoretically from their definitions as well as from their characteristics and properties are not necessarily direct consequences of these…

Discrete Mathematics · Computer Science 2011-11-11 Mathilde Noual , Sylvain Sené

In graph theory and its practical networking applications, e.g., telecommunications and transportation, the problem of finding paths has particular importance. Selecting paths requires giving scores to the alternative solutions to drive a…

Networking and Internet Architecture · Computer Science 2025-11-10 Giovanni Fiaschi , Carlo Vitucci , Thomas Westerbäck , Daniel Sundmark , Thomas Nolte

The plethora of algorithms in the research field of process mining builds on directly-follows relations. Even though various improvements have been made in the last decade, there are serious weaknesses of these relationships. Once events…

Databases · Computer Science 2023-07-24 Philipp Waibel , Lukas Pfahlsberger , Kate Revoredo , Jan Mendling

We present a method for logical specification of the behavior of a system based on the specification of its components and for representing and specifying the effect of a class of communication "signaling pathways" among them. Variations in…

Other Quantitative Biology · Quantitative Biology 2019-09-09 Leo Marcus

Although it has been notoriously difficult to pin down precisely what it is that makes life so distinctive and remarkable, there is general agreement that its informational aspect is one key property, perhaps the key property. The unique…

Adaptation and Self-Organizing Systems · Physics 2012-12-20 Sara Imari Walker , Paul C. W. Davies

A dynamical system obtains a wide variety of kinetic realizations, which is advantageous for the analysis of biochemical systems. A reaction network, derived from a dynamical system, may or may not possess some properties needed for a…

Molecular Networks · Quantitative Biology 2024-05-01 Dylan Antonio Talabis , Eduardo Mendoza

Learning meaningful causal representations from observations has emerged as a crucial task for facilitating machine learning applications and driving scientific discoveries in fields such as climate science, biology, and physics. This…

Machine Learning · Computer Science 2026-02-06 Jiaxu Ren , Yixin Wang , Biwei Huang

I present a scheme of drawing causal diagrams based on physically motivated mathematical models expressed in terms of temporal differential equations. They provide a means of better understanding the processes and causal relationships…

Classical Physics · Physics 2015-09-07 Paul Kinsler

We present a novel method for identifying a biochemical reaction network based on multiple sets of estimated reaction rates in the corresponding reaction rate equations arriving from various (possibly different) experiments. The current…

Applications · Statistics 2008-10-06 Gheorghe Craciun , Casian Pantea , Grzegorz A. Rempala

Metabolic networks are complex systems that comprise hundreds of chemical reactions which synthesize biomass molecules from chemicals in an organism's environment. The metabolic network of any one organism is encoded by a metabolic…

Molecular Networks · Quantitative Biology 2016-08-14 João F. Matias Rodrigues , Andreas Wagner

Polynomial dynamical systems are widely used to model and study real phenomena. In biochemistry, they are the preferred choice for modelling the concentration of chemical species in reaction networks with mass-action kinetics. These systems…

Algebraic Geometry · Mathematics 2014-12-30 Elisenda Feliu

Biological active matter is typically tightly coupled to chemical reaction networks affecting its assembly-disassembly dynamics and stress generation. We show that localized states can emerge spontaneously if assembly of active matter is…

Biological Physics · Physics 2023-12-15 Luca Barberi , Karsten Kruse

Context-dependent nature of biological phenomena are well documented in every branch of biology. While there have been few previous attempts to (implicitly) model various facets of biological context-dependence, a formal and general…

Other Quantitative Biology · Quantitative Biology 2011-11-28 Anirban Banerji

Motivated by recent progress on the interplay between graph theory, dynamics, and systems theory, we revisit the analysis of chemical reaction networks described by mass action kinetics. For reaction networks possessing a thermodynamic…

Optimization and Control · Mathematics 2012-06-19 Arjan van der Schaft , Shodhan Rao , Bayu Jayawardhana

A notion of delegated causality is introduced. This subtle kind of causality is dual to interventional causality. Delegated causality elucidates the causal role of dynamical systems at the "edge of chaos", explicates evident cases of…

Adaptation and Self-Organizing Systems · Physics 2018-09-06 Raimundas Vidunas

Design patterns are generalized solutions to frequently recurring problems. They were initially developed by architects and computer scientists to create a higher level of abstraction for their designs. Here, we extend these concepts to…

Molecular Networks · Quantitative Biology 2023-10-13 Steven S. Andrews , H. Steven Wiley , Herbert M. Sauro

Causal models capture cause-effect relations both qualitatively - via the graphical causal structure - and quantitatively - via the model parameters. They offer a powerful framework for analyzing and constructing processes. Here, we…

Quantum Physics · Physics 2025-12-02 Ämin Baumeler , Stefan Wolf

We discuss a method to describe the qualitative dynamics of chemical reaction networks in terms of symbolic dynamics. The method, that can be applied to mass-action reaction networks with separated timescales, uses solutions of the partial…

Molecular Networks · Quantitative Biology 2022-05-17 Aurélien Desoeuvres , Peter Szmolyan , Ovidiu Radulescu

There is an abundance of complex dynamic systems that are critical to our daily lives and our society but that are hardly understood, and even with today's possibilities to sense and collect large amounts of experimental data, they are so…