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Tumor metastasis, traditionally considered as random spreading of individual cancer cells, has been shown to also involve coordinated collective invasion in the tissue space. Here we demonstrate experimentally and computationally that…

生物物理 · 物理学 2019-04-05 Jihan Kim , Yu Zheng , Amani A. Alobaidi , Hanqing Nan , Jianxiang Tian , Yang Jiao , Bo Sun

Understanding how microenvironmental heterogeneity influences tumor progression is essential for advancing both cancer biology and therapeutic strategies. In this study, we develop a cellular automata (CA) model to simulate tumor growth…

细胞行为 · 定量生物学 2026-01-26 Yue Deng , Mingjing Li , Jinzhi Lei

Vascular adhesion of circulating tumor cells (CTCs) is a key step in cancer spreading. If inflammation is recognized to favor the formation of vascular metastatic niches, little is known about the contribution of blood rheology to CTC…

Understanding tumor invasion and metastasis is of crucial importance for both fundamental cancer research and clinical practice. In vitro experiments have established that the invasive growth of malignant tumors is characterized by the…

生物物理 · 物理学 2023-07-19 Yang Jiao , Salvatore Torquato

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…

组织与器官 · 定量生物学 2019-07-04 Robyn Shuttleworth , Dumitru Trucu

A theory of fractional kinetics of glial cancer cells is presented. A role of the migration-proliferation dichotomy in the fractional cancer cell dynamics in the outer-invasive zone is discussed an explained in the framework of a continuous…

细胞行为 · 定量生物学 2016-03-23 A. Iomin

Butterfly tumors are a distinct class of gliomas that span the corpus callosum, producing a characteristic butterfly-shaped appearance on MRI. The distinctive growth pattern of these tumors highlights how white matter fibers and structural…

Strong experimental evidence has indicated that tumor growth belongs to the molecular beam epitaxy universality class. This type of growth is characterized by the constraint of cell proliferation to the tumor border, and surface diffusion…

定量方法 · 定量生物学 2009-11-13 Carlos Escudero

The skin forms an efficient barrier against the environment, and rapid cutaneous wound healing after injury is therefore essential. Healing of the uppermost layer of the skin, the epidermis, involves collective migration of keratinocytes,…

细胞行为 · 定量生物学 2015-07-31 Matthias Jörg Fuhr , Michael Meyer , Eric Fehr , Gilles Ponzio , Sabine Werner , Hans Jürgen Herrmann

In the present article we demonstrate a new hybrid model of tumor growth. Our model is stochastic by tumor population development and strongly deterministic in cell motility dynamics and spatial propagation. In addition, it has excellent…

其他定量生物学 · 定量生物学 2017-05-03 Yehor Surkov , Ihor Samofalov , Mironenko Anastasia

Breast cancer invasion into adipose tissue strongly influences disease progression and metastasis. The degree of cancer cell invasion into adipose tissue depends on numerous biochemical and physical properties of cancer cells, adipocytes,…

We propose a one mutation model for cancer with a mutation rate that increases with time. Under rather general hypotheses the number of mutations is necessarily a (non homogeneous) Poisson process with the prescribed mutation rate. We show…

概率论 · 数学 2008-08-19 Rinaldo B. Schinazi

Targeting signaling pathways that drive cancer cell migration or proliferation is a common therapeutic approach. A popular experimental technique, the scratch assay, measures the migration and proliferation-driven cell closure of a defect…

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…

生物物理 · 物理学 2009-11-11 Wei-Rong Zhong , Yuan-Zhi Shao , Zhen-Hui He

Metastatic tumors often invade healthy neighboring tissues by forming multicellular finger-like protrusions emerging from the cancer mass. To understand the mechanical context behind this phenomenon, we here develop a minimalist fluid model…

生物物理 · 物理学 2018-09-18 Michał Bogdan , Thierry Savin

Recent progress in genetic techniques has shed light on the complex co-evolution of malignant cell clones in leukemias. However, several aspects of clonal selection still remain unclear. In this paper, we present a multi-compartmental…

偏微分方程分析 · 数学 2019-07-08 Tommaso Lorenzi , Anna Marciniak-Czochra , Thomas Stiehl

We discuss the mathematical modelling of two of the main mechanisms which pushed forward the emergence of multicellularity: phenotype divergence in cell differentiation, and between-cell cooperation. In line with the atavistic theory of…

偏微分方程分析 · 数学 2024-03-06 Frank Alvarez , Jean Clairambault

We study a stochastic epidemic model consisting of elements (organisms in a community or cells in tissue) with fixed positions, in which damage or disease is transmitted by diffusing agents ("signals") emitted by infected individuals. The…

种群与进化 · 定量生物学 2015-06-05 Fernando P. Faria , Ronald Dickman

Developing epithelial tissues coordinate cell proliferation and mechanical forces to achieve proper size and shape. As epithelial cells tightly adhere together to form the confluent tissue, the distribution of cell areas significantly…

生物物理 · 物理学 2026-01-22 Michael F. Staddon , Natalie A. Dye , Marko Popović , Frank Jülicher

Reliably predicting the future spread of brain tumors using imaging data and on a subject-specific basis requires quantifying uncertainties in data, biophysical models of tumor growth, and spatial heterogeneity of tumor and host tissue.…

计算工程、金融与科学 · 计算机科学 2022-09-27 Baoshan Liang , Jingye Tan , Luke Lozenski , David A. Hormuth , Thomas E. Yankeelov , Umberto Villa , Danial Faghihi