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Biomaterial systems have allowed for the in vitro production of complex, emergent tissue behaviors that were not possible with conventional 2D culture systems allowing for analysis of the normal development as well as disease processes. We…

Tissues and Organs · Quantitative Biology 2019-10-16 Matthew S Hall , Joseph T Decker , Lonnie D Shea

This is the first part of the comprehensive review, focusing on the historical development of Agent-Based Modeling (ABM) and its classic cases. It begins by discussing the development history and design principles of Agent-Based Modeling…

Multiagent Systems · Computer Science 2025-10-22 Xiao Xue , Deyu Zhou , Ming Zhang , Fei-Yue Wang

Agent-based models are a natural choice for modeling complex social systems. In such models simple stochastic interaction rules for a large population of individuals can lead to emergent dynamics on the macroscopic scale, for instance a…

Physics and Society · Physics 2023-08-02 Luzie Helfmann , Jobst Heitzig , Péter Koltai , Jürgen Kurths , Christof Schütte

Tumor growth has a number of features in common with a physical process known as molecular beam epitaxy. Both growth processes are characterized by the constraint of growth development to the body border, and surface diffusion of…

Quantitative Methods · Quantitative Biology 2009-11-13 Carlos Escudero

This chapter provides a brief introduction to the theory and practice of spatial stochastic simulations. It begins with an overview of different methods available for biochemical simulations highlighting their strengths and limitations.…

Quantitative Methods · Quantitative Biology 2018-10-02 Sanjana Gupta , Jacob Czech , Robert Kuczewski , Thomas M. Bartol , Terrence J. Sejnowski , Robin E. C. Lee , James R. Faeder

The tumor microenvironment (TME) is a spatially heterogeneous ecosystem where cellular interactions shape tumor progression and response to therapy. Multiplexed imaging technologies enable high-resolution spatial characterization of the…

Applications · Statistics 2025-04-04 Joel Eliason , Arvind Rao , Timothy L Frankel , Michele Peruzzi

Background: Radiotherapy outcomes are usually predicted using the Linear Quadratic model. However, this model does not integrate complex features of tumor growth, in particular cell cycle regulation. Methods: In this paper, we propose a…

Tissues and Organs · Quantitative Biology 2007-05-23 Benjamin Ribba , Thierry Colin , Santiago Schnell

In a previous paper we have introduced a phenomenological model of cell metabolism and of the cell cycle to simulate the behavior of large tumor cell populations (Chignola R and Milotti E, Phys. Biol. 2 (2005) 8-22). Here we describe a…

Biological Physics · Physics 2009-11-13 Roberto Chignola , Alessio Del Fabbro , Chiara Dalla Pellegrina , Edoardo Milotti

Understanding how the spatial structure of blood vessel networks relates to their function in healthy and abnormal biological tissues could improve diagnosis and treatment for diseases such as cancer. New imaging techniques can generate…

Quantitative Methods · Quantitative Biology 2019-07-23 Helen M Byrne , Heather A Harrington , Ruth Muschel , Gesine Reinert , Bernadette J Stolz , Ulrike Tillmann

Understanding the mechanisms of interactions within cells, tissues, and organisms is crucial to driving developments across biology and medicine. Mathematical modeling is an essential tool for simulating biological systems and revealing…

Molecular Networks · Quantitative Biology 2024-08-13 Lingxia Qiao , Ali Khalilimeybodi , Nathaniel J Linden-Santangeli , Padmini Rangamani

The goal of cancer immunotherapy is to boost a patient's immune response to a tumor. Yet, the design of an effective immunotherapy is complicated by various factors, including a potentially immunosuppressive tumor microenvironment,…

Tissues and Organs · Quantitative Biology 2017-06-29 Anna Konstorum , Anthony T. Vella , Adam J. Adler , Reinhard Laubenbacher

Cancer is a complex disease that is characterized by uncontrolled growth and division of cells. It involves a complex interplay between genetic and environmental factors that lead to the initiation and progression of tumors. Recent advances…

Biomolecules · Quantitative Biology 2025-02-07 Reza Bozorgpour

Simple models are preferred over complex models, but over-simplistic models could lead to erroneous interpretations. The classical approach is to start with a simple model, whose shortcomings are assessed in residual-based model…

Methodology · Statistics 2019-10-22 Torsten Hothorn

Cancer is a disease of cellular regulation, often initiated by genetic mutation within cells, and leading to a heterogeneous cell population within tissues. In the competition for nutrients and growth space within the tumors the phenotype…

Populations and Evolution · Quantitative Biology 2017-08-08 András Szabó , Roeland M. H. Merks

We propose a mathematical kinetic framework to investigate interactions between tumor cells and the immune system, focusing on the spatial dynamics of tumor progression and immune responses. We develop two kinetic models: one describes a…

Cell Behavior · Quantitative Biology 2026-02-24 Martina Conte , Romina Travaglini

Agent-based modelling and simulation offers a new and exciting way of understanding the world of work. In this paper we describe the development of an agent-based simulation model, designed to help to understand the relationship between…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Peer-Olaf Siebers , Uwe Aickelin , Helen Celia , Christopher Clegg

Formulating tumor models that predict growth under therapy is vital for improving patient-specific treatment plans. In this context, we present our recent work on simulating non-small-scale cell lung cancer (NSCLC) in a simple,…

Tumour spheroids have been the focus of a variety of mathematical models, ranging from Greenspan's classical study of the 1970s through to contemporary agent-based models. Of the many factors that regulate spheroid growth, mechanical…

Tissues and Organs · Quantitative Biology 2022-12-22 Benjamin J. Walker , Giulia L. Celora , Alain Goriely , Derek E. Moulton , Helen M. Byrne

Most spreading processes require spatial proximity between agents. The stationary state of spreading dynamics in a population of mobile agents thus depends on the interplay between the time and length scales involved in the epidemic process…

Statistical Mechanics · Physics 2024-03-05 Jorge P. Rodríguez , Matteo Paoluzzi , Demian Levis , Michele Starnini

We apply the knowledge of urban settings established with the study of Land Use and Transport Interaction (LUTI) models to develop reward functions for an agent-based system capable of planning realistic artificial cities. The system aims…

Multiagent Systems · Computer Science 2022-11-04 Luiz Fernando Silva Eugênio dos Santos , Claus Aranha , André Ponce de Leon F de Carvalho