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Cancer stem cells have been shown to be critical to the development of a variety of solid cancers. The precise interplay mechanisms between cancer stem cells and the rest of a tissue are still not elucidated. To shed light on the…

Cell Behavior · Quantitative Biology 2019-09-04 L. Benítez , L. Barberis , C. A. Condat

A spatiotemporal noise is assumed to reflect the environmental fluctuation in a spatially extended tumor system. We introduce firstly the structure factor to reveal the invasive tumor growth quantitatively. The homogenous environment can…

Other Quantitative Biology · Quantitative Biology 2009-11-13 Wei-Rong Zhong , Yuan-Zhi Shao , Li Li , Feng-Hua Wang , Zhen-Hui He

Mechanical force is tightly connected to human health status, and the occurrence of disease can generally be ascribed to certain loss of force balance. However, the role of mechanical approaches in tumor therapy is largely neglected, while…

Medical Physics · Physics 2013-09-20 Li Ting Yi , Jing Liu

The mitigation of stress is a key challenge for all biological systems. Conditions of unresolvable stress have been associated with a diverse array of pathologies, from cancer to post-traumatic stress disorder (PTSD). Here, I unify insights…

Cell Behavior · Quantitative Biology 2025-08-29 Jordan Strasser

Mechanical properties of the tissue engineering scaffolds are known to play a crucial role in tissue regeneration. Here, we have utilized discrete network and finite element models to study fibrous scaffold mechanics and its dependence on…

Soft Condensed Matter · Physics 2025-01-15 Dhruba Jyoti Mech , Mohd Suhail Rizvi

Tumors are defined by their intense proliferation, but sometimes cancer cells turn senescent and stop replicating. In the stochastic cancer model in which all cells are tumorigenic, senescence is seen as the result of random mutations,…

Tissues and Organs · Quantitative Biology 2013-08-29 Caterina A. M. La Porta , Stefano Zapperi , James P. Sethna

In this paper, we develop a sharp interface tumor growth model to study the effect of the tumor microenvironment using a complex far-field geometry that mimics a heterogeneous distribution of vasculature. Together with different nutrient…

Numerical Analysis · Mathematics 2020-03-20 Min-Jhe Lu , Chun Liu , John Lowengrub , Shuwang Li

Tumor growth is a complex process characterized by uncontrolled cell proliferation and invasion of neighboring tissues. The understanding of these phenomena is of vital importance to establish appropriate diagnosis and therapeutic strategy…

Tissues and Organs · Quantitative Biology 2019-10-23 Miguel Martín-Landrove , Francisco Torres-Hoyos , Antonio Rueda-Toicen

A tumor can be thought of as an ecosystem, which critically means that we cannot just consider it as a collection of mutated cells but more as a complex system of many interacting cellular and microenvironmental elements. At its simplest, a…

Populations and Evolution · Quantitative Biology 2013-05-03 Jill Gallaher , Alexander R. A. Anderson

Cancer results from a sequence of genetic and epigenetic changes which lead to a variety of abnormal phenotypes including increased proliferation and survival of somatic cells, and thus, to a selective advantage of pre-cancerous cells. The…

Populations and Evolution · Quantitative Biology 2011-12-05 Erik A. Martens , R. Kostadinov , Carlo C. Maley , Oskar Hallatschek

We report on a simple model of spatial extend anti-tumor system with a fluctuation in growth rate, which can undergo a nonequilibrium phase transition. Three states as excited, sub-excited and non-excited states of a tumor are defined to…

Biological Physics · Physics 2009-11-11 Wei-Rong Zhong , Yuan-Zhi Shao , Zhen-Hui He

We know that stress-factors, e.g. X-rays, have an effect on cells that is more lethal in rapid exponential growth than in stationary phase. It is this effect which makes radiotherapy effective in cancer treatment. This stress effect can be…

Biological Physics · Physics 2021-12-14 Zengru Di , Eduardo M. Garcia-Roger , Peter Richmond , Bertrand M. Roehner , Stephane Tronche

This paper investigates cells proliferation dynamics in small tumor cell aggregates using an individual based model (IBM). The simulation model is designed to study the morphology of the cell population and of the cell lineages as well as…

Practically, all chemotherapeutic agents lead to drug resistance. Clinically, it is a challenge to determine whether resistance arises prior to, or as a result of, cancer therapy. Further, a number of different intracellular and…

Populations and Evolution · Quantitative Biology 2014-12-03 Jana L. Gevertz , Zahra Aminzare , Kerri-Ann Norton , Judith Perez-Velazquez , Alexandria Volkening , Katarzyna A. Rejniak

We have previously reported that a 'universal' growth law with fixed scaling exponent p, as proposed by West and collaborators for all living organisms, appears to be able to describe also the growth of tumors in vivo. Here, we investigate…

Tissues and Organs · Quantitative Biology 2007-05-23 Caterina Guiot , Pier Paolo Delsanto , Yuri Mansury , Thomas S. Deisboeck

Although the immune response is often regarded as acting to suppress tumor growth, it is now clear that it can be both stimulatory and inhibitory. The interplay between these competing influences has complex implications for tumor…

Cell Behavior · Quantitative Biology 2013-05-17 Kathleen P. Wilkie , Philip Hahnfeldt

Contact inhibition refers to a reduction in the rate of cell migration and/or cell proliferation in regions of high cell density. Under normal conditions contact inhibition is associated with the proper functioning tissues, whereas abnormal…

Cell Behavior · Quantitative Biology 2018-03-01 David J. Warne , Ruth E. Baker , Matthew J. Simpson

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

The mathematical modeling of tumor growth has a long history, and has been mathematically formulated in several different ways. Here we tackle the problem in the case of a continuous distribution using mathematical tools from statistical…

Statistical Mechanics · Physics 2021-01-08 L. Preziosi , G. Toscani , M. Zanella

We study the effect of intratumor heterogeneity in the likelihood of cancer cells moving from a primary tumor to other sites in the human body, generating a metastatic process. We model different scenarios of competition between tumor cells…

Populations and Evolution · Quantitative Biology 2025-10-28 André Rocha , Claudia Manini , José I López , Annick Laruelle