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We present a spatial hybrid discrete-continuum modelling framework for the interaction dynamics between tumour cells and cytotoxic T cells, which play a pivotal role in the immune response against tumours. In this framework, tumour cells…

Analysis of PDEs · Mathematics 2022-10-10 Luis Almeida , Chloe Audebert , Emma Leschiera , Tommaso Lorenzi

We introduce an agent-based model of interaction, drawing on the contingency approach from Luhmann's theory of social systems. The agent interactions are defined by the exchange of distinct messages. Message selection is based on the…

Physics and Society · Physics 2011-11-09 M. J. Barber , Ph. Blanchard , E. Buchinger , B. Cessac , L. Streit

In this paper we explore how actor-critic methods in deep reinforcement learning, in particular Asynchronous Advantage Actor-Critic (A3C), can be extended with agent modeling. Inspired by recent works on representation learning and…

Multiagent Systems · Computer Science 2019-07-24 Pablo Hernandez-Leal , Bilal Kartal , Matthew E. Taylor

Survival of living tumor cells underlies many influences such as nutrient saturation, oxygen level, drug concentrations or mechanical forces. Data-supported mathematical modeling can be a powerful tool to get a better understanding of cell…

Dynamical Systems · Mathematics 2022-03-24 Sabrina Schönfeld , Alican Ozkan , Laura Scarabosio , Marissa Nichole Rylander , Christina Kuttler

Modeling with multi-omics data presents multiple challenges such as the high-dimensionality of the problem ($p \gg n$), the presence of interactions between features, and the need for integration between multiple data sources. We establish…

Methodology · Statistics 2024-09-17 Matteo D'Alessandro , Theophilus Quachie Asenso , Manuela Zucknick

This paper studies a system of Ordinary Differential Equations modeling a chemical reaction network and derives from it a simulation tool mimicking Loss of Function and Gain of Function mutations found in cancer cells. More specifically,…

Molecular Networks · Quantitative Biology 2020-04-07 Sara Sommariva , Giacomo Caviglia , Michele Piana

Understanding the evolution of human society, as a complex adaptive system, is a task that has been looked upon from various angles. In this paper, we simulate an agent-based model with a high enough population tractably. To do this, we…

Multiagent Systems · Computer Science 2017-07-07 Amartya Sanyal , Sanjana Garg , Asim Unmesh

In many randomized trials, outcomes such as essays or open-ended responses must be manually scored as a preliminary step to impact analysis, a process that is costly and limiting. Model-assisted estimation offers a way to combine surrogate…

Methodology · Statistics 2026-02-16 Reagan Mozer , Nicole E. Pashley , Luke Miratrix

Crisis response requires information intensive efforts utilized for reducing uncertainty, calculating and comparing costs and benefits, and managing resources in a fashion beyond those regularly available to handle routine problems. This…

Multiagent Systems · Computer Science 2010-04-23 Khaled M. Khalil , M. Abdel-Aziz , Taymour T. Nazmy , Abdel-Badeeh M. Salem

We study the process of multi-agent reinforcement learning in the context of load balancing in a distributed system, without use of either central coordination or explicit communication. We first define a precise framework in which to study…

Artificial Intelligence · Computer Science 2014-11-17 A. Schaerf , Y. Shoham , M. Tennenholtz

Multidrug resistance consists of a series of genetic and epigenetic alternations that involve multifactorial and complex processes, which are a challenge to successful cancer treatments. Accompanied by advances in biotechnology and…

Populations and Evolution · Quantitative Biology 2022-04-19 Heyrim Cho , Doron Levy

Emerging infectious diseases and climate change are two of the major challenges in 21st century. Although over the past decades, highly-resolved mathematical models have contributed in understanding dynamics of infectious diseases and are…

Populations and Evolution · Quantitative Biology 2025-10-13 Julia Bicker , René Schmieding , Michael Meyer-Hermann , Martin J. Kühn

Fulfilling the promise of precision medicine requires accurately and precisely classifying disease states. For cancer, this includes prediction of survival time from a surfeit of covariates. Such data presents an opportunity for improved…

Applications · Statistics 2017-06-22 Shannon R. McCurdy , Annette Molinaro , Lior Pachter

In this study, we provide a dynamical systems perspective to the modelling of pathological states induced by tumors or infection. A unified disease model is established using the innate immune system as the reference point. We propose a…

Adaptation and Self-Organizing Systems · Physics 2021-11-18 Jakub Sawicki , Rico Berner , Thomas Löser , Eckehard Schöll

In meta-analytic modeling, the functional relationship between a primary and surrogate endpoint is estimated using summary data from a set of completed clinical trials. Parameters in the meta-analytic model are used to assess the quality of…

Methodology · Statistics 2025-08-07 James P. Long , Abhishikta Roy , Ehsan Irajizad , Kim-Anh Do , Yu Shen

Agent-Based Models (ABMs) are powerful tools for studying emergent properties in complex systems. In ABMs, agent behaviors are governed by local interactions and stochastic rules. However, these rules are, in general, non-differentiable,…

Artificial Intelligence · Computer Science 2025-11-27 Francesco Cozzi , Marco Pangallo , Alan Perotti , André Panisson , Corrado Monti

Sensitivity analysis is routinely performed on simplified surrogate models as the cost of such analysis on the original model may be prohibitive. Little is known in general about the induced bias on the sensitivity results. Within the…

Numerical Analysis · Mathematics 2020-03-18 Michael Merritt , Alen Alexanderian , Pierre A. Gremaud

Breast Cancer is a major public health problem and the most common diagnosed malignancy in woman. There have been significant developments in clinical approaches and theoretical experimental to understand the interactions of cancer cells…

Dynamical Systems · Mathematics 2022-05-25 Hassnaa Akil , Nadia Idrissi Fatmi

Phenotype variations define heterogeneity of biological and molecular systems, which play a crucial role in several mechanisms. Heterogeneity has been demonstrated in tumor cells. Here, samples from blood of patients affected from colon…

Biological Physics · Physics 2015-11-09 Giuseppina Simone

The construction of a network of cell-to-cell contacts makes it possible to characterize the patterns and spatial organisation of tissues. Such networks are highly dynamic, depending on the changes of the tissue architecture caused by cell…

Tissues and Organs · Quantitative Biology 2013-06-25 Attila Csikász-Nagy , Luis M. Escudero , Martial Guillaud , Sean Sedwards , Buzz Baum , Matteo Cavaliere