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Nonlinear stiffening is a ubiquitous property of major types of biopolymers that make up the extracellular matrices (ECM) including collagen, fibrin and basement membrane. Within the ECM, many types of cells such as fibroblasts and cancer…

In cancer research, the role of the extracellular matrix (ECM) and its associated matrix-degrading enzyme (MDE) has been a significant area of focus. This study presents a numerical algorithm designed to simulate a previously established…

Numerical Analysis · Mathematics 2025-03-25 Qiumei Huang , Zhonghua Qiao , Cheng Wang , Huiting Yang

Integrating experimental data into ecological models plays a central role in understanding biological mechanisms that drive tumor progression where such knowledge can be used to develop new therapeutic strategies. While the current studies…

Biological Physics · Physics 2021-04-21 Youness Azimzade , Abbas Ali Saberi , Robert A. Gatenby

Evolutionary algorithms have long been used for optimization problems where the appropriate size of solutions is unclear a priori. The applicability of this methodology is here investigated on the problem of designing a nano-particle (NP)…

Neural and Evolutionary Computing · Computer Science 2020-11-11 Michail-Antisthenis Tsompanas , Larry Bull , Andrew Adamatzky , Igor Balaz

Tumor growth, which plays a central role in cancer evolution, depends on both the internal features of the cells, such as their ability for unlimited duplication, and the external conditions, e.g., supply of nutrients, as well as the…

Biological Physics · Physics 2018-06-19 Youness Azimzade , Abbas Ali Saberi , Muhammad Sahimi

Non-small cell lung cancer (NSCLC) remains a major global health challenge, with high post-surgical recurrence rates underscoring the need for accurate pathological response predictions to guide personalized treatments. Although artificial…

Background Non-small cell lung cancer (NSCLC) is the predominant histological type of lung cancer, accounting for up to 85% of cases. Disease stage is commonly used to determine adjuvant treatment eligibility of NSCLC patients, however, it…

Applications · Statistics 2015-08-07 Suyan Tian , Chi Wang , Ming-Wen An

The problem of reconstructing and identifying intracellular protein signaling and biochemical networks is of critical importance in biology today. We sought to develop a mathematical approach to this problem using, as a test case, one of…

Data Analysis, Statistics and Probability · Physics 2012-06-15 D. Napoletani , T. Sauer , D. C. Struppa , E. Petricoin , L. Liotta

In here presented in silico study we suggest a way how to implement the evolutionary principles into anti-cancer therapy design. We hypothesize that instead of its ongoing supervised adaptation, the therapy may be constructed as a…

Populations and Evolution · Quantitative Biology 2019-10-10 Branislav Brutovsky , Denis Horvath

Cell growth in size is a complex process coordinated by intrinsic and environmental signals. In a recent work [Tzur et al., Science, 2009, 325:167-171], size distributions in an exponentially growing population of mammalian cells were used…

Cell Behavior · Quantitative Biology 2015-06-16 Yucheng Hu , Tianqi Zhu

A cell can be seen as an adaptive autonomous agent or as a society of adaptive autonomous agents, where each can exhibit a particular behaviour depending on its cognitive capabilities. We present an intracellular signalling model obtained…

Multiagent Systems · Computer Science 2007-05-23 Pedro Pablo Gonzalez Perez , Maura Cardenas Garcia , Carlos Gershenson , Jaime Lagunez-Otero

Animal cells in tissues are supported by biopolymer matrices, which typically exhibit highly nonlinear mechanical properties. While the linear elasticity of the matrix can significantly impact cell mechanics and functionality, it remains…

Cell proliferation, apoptosis, and myosin-dependent contraction can generate elastic stress and strain in living tissues, which may be dissipated by internal rearrangement through cell topological transition and cytoskeletal reorganization.…

Biological Physics · Physics 2021-12-07 Chaozhen Wei , Min Wu

Most cancers in humans are large, measuring centimeters in diameter, composed of many billions of cells. An equivalent mass of normal cells would be highly heterogeneous as a result of the mutations that occur during each cell division.…

Populations and Evolution · Quantitative Biology 2016-02-17 Bartlomiej Waclaw , Ivana Bozic , Meredith E. Pittman , Ralph H. Hruban , Bert Vogelstein , Martin A. Nowak

We present a multiagent-based model that captures the interactions between different types of cells with their microenvironment, and enables the analysis of the emergent global behavior during tissue regeneration and tumor development.…

Biological Physics · Physics 2023-01-31 Luciana Melina Luque , Carlos Manuel Carlevaro , Camilo Llamoza Torres , Enrique Lomba

We present and analyze new multi-species phase-field mathematical models of tumor growth and ECM invasion. The local and nonlocal mathematical models describe the evolution of volume fractions of tumor cells, viable cells (proliferative and…

Analysis of PDEs · Mathematics 2020-02-20 Marvin Fritz , Ernesto A. B. F. Lima , Vanja Nikolić , J. Tinsley Oden , Barbara Wohlmuth

Local cancer invasion of tissue is a complex, multiscale process which plays an essential role in tumour progression. Occurring over many different temporal and spatial scales, the first stage of invasion is the secretion of matrix…

Tissues and Organs · Quantitative Biology 2019-07-04 Robyn Shuttleworth , Dumitru Trucu

Immunotherapies have been proven to have significant therapeutic efficacy in the treatment of cancer. The last decade has seen adoptive cell therapies, such as chimeric antigen receptor T-cell (CART-cell) therapy, gain FDA approval against…

Molecular Networks · Quantitative Biology 2023-02-10 Viren Shah , Justin Womack , Anthony E. Zamora , Scott S. Terhune , Ranjan K. Dash

The use of oncolytic viruses as cancer treatment has received considerable attention in recent years, however the spatial dynamics of this viral infection is still poorly understood. We present here a stochastic agent-based model describing…

Populations and Evolution · Quantitative Biology 2023-09-06 David Morselli , Marcello Edoardo Delitala , Federico Frascoli

A nutrient-limited model for avascular cancer growth including cell proliferation, motility and death is presented. The model qualitatively reproduces commonly observed morphologies for primary tumors, and the simulated patterns are…

Statistical Mechanics · Physics 2011-03-09 S. C. Ferreira Junior , M. L. Martins , M. J. Vilela
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