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\emph{In vitro} experiments in which tumour cells are seeded in a gelatinous medium, or hydrogel, show how mechanical interactions between tumour cells and the tissue in which they are embedded, together with local levels of an…

Tissues and Organs · Quantitative Biology 2022-06-13 Gopikrishnan C. Remesan , Jennifer A Flegg , Helen M Byrne

As cells grow and divide under a given environment, they become crowded and resources are limited, as seen in bacterial biofilms and multicellular aggregates. These cells often show strong interactions through exchanging chemicals, as in…

Cell Behavior · Quantitative Biology 2017-02-08 Jumpei F Yamagishi , Nen Saito , Kunihiko Kaneko

Cancer cells have the plasticity to adjust their metabolic phenotypes for survival and metastasis. During metastasis, a developmental program known as the epithelial-mesenchymal transition (EMT) plays a critical role. There is extensive…

Cancer results from genetic alterations that disturb the normal cooperative behavior of cells. Recent high-throughput genomic studies of cancer cells have shown that the mutational landscape of cancer is complex and that individual cancers…

Populations and Evolution · Quantitative Biology 2011-11-10 Niko Beerenwinkel , Tibor Antal , David Dingli , Arne Traulsen , Kenneth W. Kinzler , Victor E. Velculescu , Bert Vogelstein , Martin A. Nowak

We present in silico simulations and mathematical analyses supporting several hypotheses that explain the saturation expressed in the fractional cell kill law that governs the lysis of tumor cells by cytotoxic CD8 + T cells (CTLs). In order…

Tissues and Organs · Quantitative Biology 2016-08-30 Álvaro G. López , Jesús M. Seoane , Miguel A. F. Sanjuán

The advantage of Cellular Potts Model (CPM) is due to its ability for introducing cell-cell interaction based on the well known statistical model i.e. the Potts model. On the other hand, Lattice gas Cellular Automata (LGCA) can simulate…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Mehrdad Ghaemi , Amene Shahrokhi

Recent works have stressed the important role that random mutations have in the development of cancer phenotype. We challenge this current view by means of bioinformatic data analysis and computational modelling approaches. Not all the…

Cell Behavior · Quantitative Biology 2017-06-28 Gianluca Ascolani , Pietro Lió

Cells encounter a diverse array of physical and chemical signals as they navigate their natural surroundings. However, their response to the simultaneous presence of multiple cues remains elusive. Particularly, the impact of topography…

Analysis of PDEs · Mathematics 2026-03-10 Valeria Cuentas , Elio Espejo

The time delayed cytotoxic T-lymphocyte response on the tumor growth has been developed on the basis of discrete approximation (2-dimensional map). The growth kinetic has been described by logistic law with growth rate being the bifurcation…

chao-dyn · Physics 2008-02-03 Margarita Voitikova

We use exact techniques to demonstrate theoretically the pumping of fractional charges in a single-level non-interacting quantum dot, when the dot-reservoir coupling is adiabatically driven from weak to strong coupling. The pumped charge…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Masahiro Hasegawa , Etienne Jussiau , Robert S. Whitney

We employ a multi-scale mechanistic approach to investigate radiation induced cell toxicities and deactivation mechanisms as a function of linear energy transfer in hadron therapy. Our theoretical model consists of a system of Markov chains…

Medical Physics · Physics 2019-05-01 Ramin Abolfath , Yusuf Helo , Lawrence Bronk , Alejandro Carabe , David Grosshans , Radhe Mohan

Colorectal cancer (CRC) is highly heterogeneous, with five-year survival rates dropping from $\sim$90% in localized disease to $\sim$15% with distant metastases. Disease progression is shaped not only by tumor-intrinsic alterations but also…

Cell populations are often characterised by phenotypic heterogeneity in the form of two distinct subpopulations. We consider a model of tumour cells consisting of two subpopulations: non-cancer promoting (NCP) and cancer-promoting (CP).…

Statistical Mechanics · Physics 2023-09-21 Indrani Bose

Chromatin remodeling machineries are abundant and diverse in eukaryotic cells. They have been involved in a variety of situations such as histone exchange and DNA repair, but their importance in gene expression remains unclear. Although the…

Molecular Networks · Quantitative Biology 2015-09-25 Denis Michel

A model is proposed to study the process of hypoxia-induced angiogenesis in cancer cells. The model accounts for the role played by the vascular endothelial growth factor (VEGF)-A in regulating the oxygen intake. VEGF-A is dynamically…

Cell Behavior · Quantitative Biology 2010-12-13 Pasquale Laise , Francesca Di Patti , Duccio Fanelli , Marika Masselli , Annarosa Arcangeli

Three-dimensional cultures of cells are gaining popularity as an in vitro improvement over 2D Petri dishes. In many such experiments, cells have been found to organize in aggregates. We present new results of three-dimensional in vitro…

Cell Behavior · Quantitative Biology 2018-11-01 Federica Bubba , Camille Pouchol , Nathalie Ferrand , Guillaume Vidal , Luis Almeida , Benoıt Perthame , Michèle Sabbah

Inevitably, almost all cancer patients develop resistance to targeted therapy. Intratumor heterogeneity (ITH) is a major cause of drug resistance. Mathematical models that explain experiments quantitatively is useful in understanding the…

Soft Condensed Matter · Physics 2021-08-16 Xin Li , D. Thirumalai

Heterogeneity within tumour cell populations is associated with an increase in malignancy and appears to play an important role during cancer metastasis. Using in silico experiments, we study the interplay between collective behaviours and…

Tissues and Organs · Quantitative Biology 2015-01-05 Adrien Hallou , Joel Jennings , Alexandre Kabla

Living systems at the molecular scale are composed of many constituents with strong and heterogeneous interactions, operating far from equilibrium, and subject to strong fluctuations. These conditions pose significant challenges to…

Statistical Mechanics · Physics 2023-04-11 Emma Lathouwers , Joseph N. E. Lucero , David A. Sivak

Cancer is a systemic heterogeneous disease involving complex molecular networks. Tumor formation involves epithelial-mesenchymal transition (EMT), which promotes both metastasis and plasticity of cancer cells. Recent experiments proposed…

Molecular Networks · Quantitative Biology 2023-05-23 Zihao Chen , Jia Lu , Xing-Ming Zhao , Haiyang Yu , Chunhe Li