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At present it is still quite difficult to match the vast knowledge on the behavior of individual tumor cells with macroscopic measurements on clinical tumors. On the modeling side, we already know how to deal with many molecular pathways…

Tissues and Organs · Quantitative Biology 2012-01-16 Roberto Chignola , Edoardo Milotti

The work analyzes a one-dimensional viscoelastic model of blood vessel growth under nonlinear friction with surroundings, and provides numerical simulations for various growing cases. For the nonlinear differential equations, two sufficient…

Analysis of PDEs · Mathematics 2010-10-18 Chunjing Xie , Xiaoming Zheng

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,…

Microfluidic technology has emerged as a powerful tool for studying complex biological processes with enhanced precision and control. A microfluidic chip was designed to emulate human-like microvascular networks with precise control over…

Biological Physics · Physics 2025-02-18 Shobhit Das , Shilpi Pandey , Oliver Hayden

One of the most crucial and lethal characteristics of solid tumors is represented by the increased ability of cancer cells to migrate and invade other organs during the so-called metastatic spread. This is allowed thanks to the production…

Tissues and Organs · Quantitative Biology 2024-04-10 Giorgia Ciavolella , Nathalie Ferrand , Michèle Sabbah , Benoît Perthame , Roberto Natalini

We propose and analyze a stochastic model to investigate epigenetic mutations, i.e., modifications of the genetic information that control gene expression patterns in a cell but do not alter the DNA sequence. Epigenetic mutations are…

Analysis of PDEs · Mathematics 2024-07-09 Pablo Padilla-Longoria , Jesus Sierra

We study a simplified stochastic model for the vascularization of a growing tumor, incorporating the formation of new blood vessels at the tumor periphery as well as their regression in the tumor center. The resulting morphology of the…

Cell Behavior · Quantitative Biology 2009-09-16 Raja Paul

The cellular composition of the tumor microenvironment can directly impact cancer progression and the efficacy of therapeutics. Understanding immune cell activity, the body's natural defense mechanism, in the vicinity of cancerous cells is…

Genomics · Quantitative Biology 2022-05-04 Cecily Wolfe , Yayi Feng , David Chen , Edwin Purcell , Anne Talkington , Sepideh Dolatshahi , Heman Shakeri

We investigate morphologies of proliferating cellular tissue using a newly developed numerical simulation model for mechanical cell division. The model reproduces structures of simple multi-cellular organisms via simple rules for selective…

Soft Condensed Matter · Physics 2018-11-20 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

We propose a physical model for developmental process at cellular level to discuss the mechanism of epigenetic landscape. In our simplified model, a minimal model, the network of the interaction among cells generates the landscape…

Cell Behavior · Quantitative Biology 2014-02-04 Motoki Nakagawa , Osamu Narikiyo

We propose a mathematical model for tumor invasion supported by angiogenesis and interactions with the surrounding tissue. For the model deduction we employ a multiscale approach starting from lower scales and obtaining by an informal…

Analysis of PDEs · Mathematics 2024-12-06 Christina Surulescu , Michael Winkler

Recent advances in (scanning) transmission electron microscopy have enabled routine generation of large volumes of high-veracity structural data on 2D and 3D materials, naturally offering the challenge of using these as starting inputs for…

Data Analysis, Statistics and Probability · Physics 2022-11-08 Ayana Ghosh , Maxim Ziatdinov , Ondrej Dyck , Bobby Sumpter , Sergei V. Kalinin

The transformation of the regular vasculature in normal tissue into a highly inhomogeneous tumor specific capillary network is described by a theoretical model incorporating tumor growth, vessel cooption, neo-vascularization, vessel…

Tissues and Organs · Quantitative Biology 2016-09-08 K. Bartha , H. Rieger

In this review we summarize our recent efforts in trying to understand the role of heterogeneity in cancer progression by using neural networks to characterise different aspects of the mapping from a cancer cells genotype and environment to…

Tissues and Organs · Quantitative Biology 2014-04-29 Philip Gerlee , Eunjung Kim , Alexander R. A. Anderson

The rapidly expanding market for regenerative medicines and cell therapies highlights the need to advance the understanding of cellular metabolisms and improve the prediction of cultivation production process for human induced pluripotent…

Molecular Networks · Quantitative Biology 2023-10-27 Keqi Wang , Wei Xie , Sarah W. Harcum

Cellular life requires the presence of a set of biochemical mechanisms in order to maintain a predictable process of growth and division. Several attempts have been made towards the building of minimal protocells from a top-down approach,…

Cell Behavior · Quantitative Biology 2007-05-23 Javier Macia , Ricard V. Sole

The paper presents a computational stochastic model of virtual cells irradiation, based on Quasi-Markov Chain Monte Carlo method and using biophysical input. The model is based on a stochastic tree of probabilities for each cell of the…

Biological Physics · Physics 2014-12-23 Krzysztof Wojciech Fornalski

The speed and the versatility of today's computers open up new opportunities to simulate complex biological systems. Here we review a computational approach recently proposed by us to model large tumor cell populations and spheroids, and we…

Tissues and Organs · Quantitative Biology 2010-12-13 Roberto Chignola , Alessio Del Fabbro , Marcello Farina , Edoardo Milotti

During the last decades, medical observations and multiscale data concerning tumor growth are mounting. At the same time, contemporary imaging techniques well established in clinical practice, provide a variety of information on real-time,…

Tissues and Organs · Quantitative Biology 2017-12-11 Markos Antonopoulos , Georgios Stamatakos

We propose a novel computational framework leveraging hypergraph theory to analyse cancer stem cell markers (CSCMs) across multiple organs. Hypergraphs provide a robust representation of CSCM co-expression patterns, capturing their complex…

Biological Physics · Physics 2025-08-01 David H. Margarit , Gustavo Paccosi , Marcela V. Reale , Lilia M. Romanelli