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Petri nets are a mathematical language for modeling and reasoning about distributed systems. In this paper we propose an approach to Petri nets for embedding reversibility, i.e., the ability of reversing an executed sequence of operations…

Logic in Computer Science · Computer Science 2020-10-09 Anna Philippou , Kyriaki Psara

Biological systems are often modeled as a system of ordinary differential equations (ODEs) with time-invariant parameters. However, cell signaling events or pharmacological interventions may alter the cellular state and induce multi-mode…

Quantitative Methods · Quantitative Biology 2020-04-28 Bing Liu

In this paper, we aim at modelling and analyzing the regulation processes in multi-cellular biological systems, in particular tissues. The modelling framework is based on interconnected logical regulatory networks a la Rene Thomas equipped…

Computational Engineering, Finance, and Science · Computer Science 2010-11-08 Jean-Louis Giavitto , Hanna Klaudel , Franck Pommereau

Synthesis automatically generates a process model from a behavioural specification. When the target model is a Petri net, we address synthesis through region theory. Researchers have studied region-based synthesis extensively for…

Formal Languages and Automata Theory · Computer Science 2026-02-02 Robin Bergenthum , Jakub Kovář

We describe modeling approaches to a "network" of connected enzyme-catalyzed reactions, with added (bio)chemical processes that introduce biochemical filtering steps into the functioning of such a biocatalytic cascade. Theoretical…

Molecular Networks · Quantitative Biology 2016-12-13 Vladimir Privman

The large-scale properties of chemical reaction systems, such as the metabolism, can be studied with graph-based methods. To do this, one needs to reduce the information -- lists of chemical reactions -- available in databases. Even for the…

Molecular Networks · Quantitative Biology 2009-09-25 Petter Holme

SMPT (for Satisfiability Modulo Petri Net) is a model checker for reachability problems in Petri nets. It started as a portfolio of methods to experiment with symbolic model checking, and was designed to be easily extended. Some distinctive…

Logic in Computer Science · Computer Science 2023-03-01 Nicolas Amat , Silvano Dal Zilio

Interacting systems are increasingly common. Many examples pervade our everyday lives: automobiles, aircraft, defense systems, telephone switching systems, financial systems, national governments, and so on. Closer to computer science,…

Software Engineering · Computer Science 2015-04-10 Paul C. Jorgensen

Answering realistic questions about biological systems and pathways similar to the ones used by text books to test understanding of students about biological systems is one of our long term research goals. Often these questions require…

Artificial Intelligence · Computer Science 2013-06-25 Saadat Anwar , Chitta Baral , Katsumi Inoue

Sensing and reciprocating cellular systems (SARs) are important for the operation of many biological systems. Production in interferon (IFN) SARs is achieved through activation of the Jak-Stat pathway, and downstream upregulation of IFN…

Cell Behavior · Quantitative Biology 2018-03-01 Arran Hodgkinson , Giles Uzé , Ovidiu Radulescu , Dumitru Trucu

State-of-the-art models represent proteins and molecules in separate embedding manifolds, limiting the modeling of systemic biological processes. We introduce ReactEmbed, a lightweight, plug-and-play module that bridges this gap. ReactEmbed…

Machine Learning · Computer Science 2026-05-26 Amitay Sicherman , Kira Radinsky

We present a Python package called Modular Petri Net Assembly Toolkit (MPAT) that empowers users to easily create large-scale, modular Petri Nets for various spatial configurations, including extensive spatial grids or those derived from…

Mathematical Software · Computer Science 2025-07-03 Stefano Chiaradonna , Petar Jevtic , Beckett Sterner

During the last decade, various approaches have been put forward to integrate business processes with different types of data. Each of such approaches reflects specific demands in the whole process-data integration spectrum. One particular…

Artificial Intelligence · Computer Science 2020-06-12 Silvio Ghilardi , Alessandro Gianola , Marco Montali , Andrey Rivkin

Bond graphs can be used to build thermodynamically-compliant hierarchical models of biomolecular systems. As bond graphs have been widely used to model, analyse and synthesise engineering systems, this paper suggests that they can play the…

Molecular Networks · Quantitative Biology 2016-06-06 Peter Gawthrop , Edmund Crampin

Supply chains involve geographically distributed manufacturing and assembly sites that must be coordinated under strict timing and resource constraints. While many existing approaches rely on Colored Petri Nets to model material flows, this…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Eric Lubat , Pierre-Emmanuel Hladik , Yoann Mateu , Rémi Sauvère

Real-world processes operate on objects that are inter-dependent. To accurately reflect the nature of such processes, object-centric process mining techniques are needed, notably conformance checking. However, while the object-centric…

Logic in Computer Science · Computer Science 2024-04-08 Alessandro Gianola , Marco Montali , Sarah Winkler

We present an approach for constructing dynamic models for the simulation of gene regulatory networks from simple computational elements. Each element is called a ``gene gate'' and defines an input/output-relationship corresponding to the…

Molecular Networks · Quantitative Biology 2007-10-09 R. Blossey , L. Cardelli , A. Phillips

We present BSTModelKit.jl, an open-source Julia package for constructing, solving, and analyzing Biochemical Systems Theory (BST) models of biochemical networks. The package implements S-system representations, a canonical power-law…

Molecular Networks · Quantitative Biology 2026-03-20 Sandra Vadhin , Jeffrey D. Varner

Petri Nets are an increasingly used modeling framework for the spread of disease across populations or within an individual. For example, the Susceptible-Infectious-Recovered (SIR) compartment model is foundational for population…

Other Quantitative Biology · Quantitative Biology 2025-07-02 Trevor Reckell , Bright Kwaku Manu , Beckett Sterner , Petar Jevtić , Reggie Davidrajuh

Understanding how molecular alterations propagate across biological systems to drive disease remains a central challenge. Although high-throughput profiling enables comprehensive characterization of tumor states, most models neglect…

Quantitative Methods · Quantitative Biology 2026-05-11 Kyle Higgins , Guadalupe Gonzalez , Dennis Veselkov , Ivan Laponogov , Kirill Veselkov