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The interplay between tumor cells and macrophages plays a central regulatory role in cancer progression. In this study, we developed a mathematical model that incorporates tumor cells, M1 type macrophages, M2 type macrophages and an M3 type…

种群与进化 · 定量生物学 2026-03-04 Haifeng Zhang , Yipu Qu , Wuyue Yang , Chenghang Li

The tumor microenvironment (TME) plays a critical role in cancer cell proliferation, invasion, and resistance to therapy. A principal component of the TME is the tumor immune microenvironment (TIME), which includes various immune cells such…

细胞行为 · 定量生物学 2024-05-30 Mobina Tousian , Christian Solis Calero , Julio Cesar Perez Sansalvador

Known as one of the hallmarks of cancer [30], cancer cell invasion of human body tissue is a complicated spatio-temporal multiscale process which enables a localised solid tumour to transform into a systemic, metastatic and fatal disease.…

动力系统 · 数学 2016-03-25 Lu Peng , Dumitru Trucu , Ping Lin , Alastair Thompson , Mark A. J. Chaplain

Local cancer cell invasion is a complex process involving many cellular and tissue interactions and is an important prerequisite for metastatic spread, the main cause of cancer related deaths. Occurring over many different temporal and…

组织与器官 · 定量生物学 2019-07-03 Robyn Shuttleworth , Dumitru Trucu

The transition from the epithelial to mesenchymal phenotype and its reverse (from mesenchymal to epithelial) are crucial processes necessary for the progression and spread of cancer. In this paper, we investigate how phenotypic switching at…

组织与器官 · 定量生物学 2023-05-25 Zuzanna Szymańska , Mirosław Lachowicz , Nikolaos Sfakianakis , Mark A. J. Chaplain

Cancer cell invasion is recognised as one of the hallmarks of cancer and involves several inner-related multiscale processes that ultimately contribute to its spread into the surrounding tissue. In order to gain a deeper understanding of…

组织与器官 · 定量生物学 2018-10-11 Robyn Shuttleworth , Dumitru Trucu

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

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…

生物物理 · 物理学 2018-06-19 Youness Azimzade , Abbas Ali Saberi , Muhammad Sahimi

The ability to locally degrade the extracellular matrix (ECM) and interact with the tumour microenvironment is a key process distinguishing cancer from normal cells, and is a critical step in the metastatic spread of the tumour. The…

细胞行为 · 定量生物学 2018-05-29 Nikolaos Sfakianakis , Anotida Madzvamuse , Mark A. J. Chaplain

Tumor cells invade individually or in groups, mediated by mechanical interactions between cells and their surrounding matrix. These multicellular dynamics are reminiscent of leader-follower coordination and epithelial-mesenchymal…

细胞行为 · 定量生物学 2022-06-28 Alex M. Hruska , Haiqian Yang , Susan E. Leggett , Ming Guo , Ian Y. Wong

Analysis of invasion front has been widely used to decipher biological properties, as well as the growth dynamics of the corresponding populations. Likewise, the invasion front of tumors has been investigated, from which insights into the…

统计力学 · 物理学 2019-12-19 Youness Azimzade , Abbas Ali Saberi , Muhammad Sahimi

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…

组织与器官 · 定量生物学 2015-01-05 Adrien Hallou , Joel Jennings , Alexandre Kabla

Brain-related experiments are limited by nature, and so biological insights are often restricted or absent. This is particularly problematic in the context of brain cancers, which have very poor survival rates. To generate and test new…

Central to the quest for a deeper understanding of the cancer growth and spread process, the naturally multiscale character of cancer invasion demands appropriate multiscale modelling and analysis approach. The cross-talk between the tissue…

We propose a multiscale model of the invasion of the extracellular matrix by two types of cancer cells, the differentiated cancer cells and the cancer stem cells. We assume that the epithelial mesenchymal-like transition between them is…

细胞行为 · 定量生物学 2016-04-19 Nikolaos Sfakianakis , Niklas Kolbe , Nadja Hellmann , Maria Lukacova-Medvidova

During tissue invasion individual tumor cells exhibit two interconvertible migration modes, namely mesenchymal and amoeboid migration. The cellular microenvironment triggers the switch between both modes, thereby allowing adaptation to…

组织与器官 · 定量生物学 2017-04-03 Katrin Talkenberger , Elisabetta Ada Cavalcanti-Adamda , Andreas Deutsch , Anja Voss-Böhme

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…

种群与进化 · 定量生物学 2025-10-28 André Rocha , Claudia Manini , José I López , Annick Laruelle

We present a spatial hybrid discrete-continuum modelling framework for the interaction dynamics between tumour cells and cytotoxic T cells, which play a pivotal role in the immune response against tumours. In this framework, tumour cells…

偏微分方程分析 · 数学 2022-10-10 Luis Almeida , Chloe Audebert , Emma Leschiera , Tommaso Lorenzi

Collagen fibers, an important component of the extracellular matrix (ECM), can both inhibit and promote cellular migration. {\it In-vitro} studies have revealed that the fibers' orientations are crucial to cellular invasion, while {\it…

细胞行为 · 定量生物学 2019-07-01 Youness Azimzade , Abbas Ali Saberi , Muhammad Sahimi

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,…

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