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Advances in synthetic biology allow us to engineer bacterial collectives with pre-specified characteristics. However, the behavior of these collectives is difficult to understand, as cellular growth and division as well as extra-cellular…

Cell Behavior · Quantitative Biology 2017-09-13 James J. Winkle , Oleg Igoshin , Matthew R. Bennett , Krešimir Josić , William Ott

Morphogen gradients play an essential role in the spatial regulation of cell patterning during early development. The classical mechanism of morphogen gradient formation involves the diffusion of morphogens away from a localized source…

Statistical Mechanics · Physics 2022-11-09 Paul C Bressloff

We present an Equation/Variable free machine learning (EVFML) framework for the control of the collective dynamics of complex/multiscale systems modelled via microscopic/agent-based simulators. The approach obviates the need for…

Dynamical Systems · Mathematics 2024-11-05 Dimitrios G. Patsatzis , Lucia Russo , Ioannis G. Kevrekidis , Constantinos Siettos

Multi-agent simulations enables the modeling and analyses of the dynamic behaviors and interactions of autonomous entities evolving in complex environments. Agent-based models (ABM) are widely used to study emergent phenomena arising from…

Machine Learning · Computer Science 2025-05-20 Paul Saves , Nicolas Verstaevel , Benoît Gaudou

We study the asymptotic behaviors of stochastic cell fate decision between proliferation and differentiation. We propose a model of a self-replicating Langevin system, where cells choose their fate (i.e. proliferation or differentiation)…

Statistical Mechanics · Physics 2017-07-12 Hiroki Yamaguchi , Kyogo Kawaguchi , Takahiro Sagawa

Morphogens are secreted signaling molecules that mediate tissue patterning and growth of embryonic tissues. They are secreted in a localized region and spread through the tissue to form a graded concentration profile. We present a…

Most of the grand challenges of humanity today involve complex agent-based systems, such as epidemiology, economics or ecology. However, remains as a pending task the challenge of identifying the general principles underlying their…

General Finance · Quantitative Finance 2020-10-19 Martin Jaraiz

Agent-based models provide a constructive approach to studying emergent dynamics in life-like systems composed of interacting, adaptive agents. Financial markets serve as a canonical example of such systems, where collective price dynamics…

Computational Finance · Quantitative Finance 2026-04-28 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

The potential power provided and possibilities presented by computation graphs has steered most of the available modeling techniques to re-implementing, utilization and including the complex nature of System Biology (SB). To model the…

Multiagent Systems · Computer Science 2019-09-05 Ghazal Tashakor , Remo Suppi

Based on recent experiments with time-lapse fluorescent imaging, we propose a cellular automaton model for the dynamics of vascular endothelial cells (ECs) in angiogenic morphogenesis. The model successfully reproduces cell mixing behavior,…

Cellular Automata and Lattice Gases · Physics 2015-07-22 Keisuke Matsuya , Hiroki Kurihara , Tetsuji Tokihiro

When modeling of tumor-driven angiogenesis, a major source of analytical and computational complexity is the strong coupling between the kinetic parameters of the relevant stochastic branching-and-growth of the capillary network, and the…

Tissues and Organs · Quantitative Biology 2014-12-24 L. L. Bonilla , V. Capasso , M. Alvaro , M. Carretero

Risk management resulting from the actions and states of the different elements making up a operating room is a major concern during a surgical procedure. Agent-based simulation shows an interest through its interaction concepts,…

Artificial Intelligence · Computer Science 2020-07-23 Bruno Perez , Julien Henriet , Christophe Lang , Laurent Philippe

Agent Based Modeling (ABM) has become a widespread approach to model complex interactions. In this chapter after briefly summarizing some features of ABM the different approaches in modeling spatial interactions are discussed. It is…

Physics and Society · Physics 2014-05-06 Marcel Ausloos , Herbert Dawid , Ugo Merlone

A discrete time stochastic model for a multiagent system given in terms of a large collection of interacting Markov chains is studied. The evolution of the interacting particles is described through a time inhomogeneous transition…

Probability · Mathematics 2011-06-17 Amarjit Budhiraja , Pierre Del Moral , Sylvain Rubenthaler

This chapter presents the main lines of agent based modeling in the field of medical research. The general diagram consists of a cohort of patients (virtual or real) whose evolution is observed by means of so-called evolution models.…

Artificial Intelligence · Computer Science 2022-05-23 Philippe Saint-Pierre , Romain Demeulemeester , Nadège Costa , Nicolas Savy

Self-organisation of individuals within large collectives occurs throughout biology. Mathematical models can help elucidate the individual-level mechanisms behind these dynamics, but analytical tractability often comes at the cost of…

Large-Scale Multi-Agent Systems (LS-MAS) consist of several autonomous components, interacting in a non-trivial way, so that the emerging behaviour of the ensemble depends on the individual dynamics of the components and their reciprocal…

Systems and Control · Electrical Eng. & Systems 2025-01-03 Andrea Giusti

The study of system complexity primarily has two objectives: to explore underlying patterns and to develop theoretical explanations. Pattern exploration seeks to clarify the mechanisms behind the emergence of system complexity, while…

Multiagent Systems · Computer Science 2026-02-18 Xiao Xue , Deyu Zhou , Ming Zhang , Xiangning Yu , Fei-Yue Wang

In this paper, we analyze the behavior of a multi-agent system driven by the interactions of agents within a competitive environment. To achieve this, we describe the transition probabilities that underlie the system's stochastic nature. We…

Multiagent Systems · Computer Science 2024-12-23 Mohammad Daneshvar , Mandana Delavari

This article extends the preprint "Characterizing Agent-Based Model Dynamics via $\epsilon$-Machines and Kolmogorov-Style Complexity" by introducing diffusion models as orthogonal and complementary tools for characterizing the output of…

Multiagent Systems · Computer Science 2025-12-05 Roberto Garrone