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Mounting evidence underscores the prevalent hierarchical organization of cancer tissues. At the foundation of this hierarchy reside cancer stem cells, a subset of cells endowed with the pivotal role of engendering the entire cancer tissue…

Applications · Statistics 2023-08-21 Shuli Chen , Yuman Wang , Da Zhou , Jie Hu

The conventional cancer stem cell (CSC) theory indicates a hierarchy of CSCs and non-stem cancer cells (NSCCs), that is, CSCs can differentiate into NSCCs but not vice versa. However, an alternative paradigm of CSC theory with reversible…

Cell Behavior · Quantitative Biology 2014-05-29 Da Zhou , Yue Wang , Bin Wu

The paradigm of phenotypic plasticity indicates reversible relations of different cancer cell phenotypes, which extends the cellular hierarchy proposed by the classical cancer stem cell (CSC) theory. Since it is still question able if the…

Cell Behavior · Quantitative Biology 2015-12-04 Xiufang Chen , Yue Wang , Tianquan Feng , Ming Yi , Xingan Zhang , Da Zhou

The phenotypic equilibrium, i.e. heterogeneous population of cancer cells tending to a fixed equilibrium of phenotypic proportions, has received much attention in cancer biology very recently. In previous literature, some theoretical models…

Cell Behavior · Quantitative Biology 2015-09-24 Yuanling Niu , Yue Wang , Da Zhou

With the advance of imaging technology, digital pathology imaging of tumor tissue slides is becoming a routine clinical procedure for cancer diagnosis. This process produces massive imaging data that capture histological details in high…

Methodology · Statistics 2020-12-10 Qiwei Li , Xinlei Wang , Faming Liang , Guanghua Xiao

In this review, we discuss recent advances on the plasticity of cancer stem cells and highlight their relevance to understand the metastatic process and to guide therapeutic interventions. Recent results suggest that the strict hierarchical…

Populations and Evolution · Quantitative Biology 2017-05-16 Caterina A. M. La Porta , Stefano Zapperi

Phenotype variations define heterogeneity of biological and molecular systems, which play a crucial role in several mechanisms. Heterogeneity has been demonstrated in tumor cells. Here, samples from blood of patients affected from colon…

Biological Physics · Physics 2015-11-09 Giuseppina Simone

We propose an extension of a standard stochastic individual-based model in population dynamics which broadens the range of biological applications. Our primary motivation is modelling of immunotherapy of malignant tumours. In this context…

Populations and Evolution · Quantitative Biology 2016-04-18 Martina Baar , Loren Coquille , Hannah Mayer , Michael Hölzel , Meri Rogava , Thomas Tüting , Anton Bovier

The unwelcome evolution of malignancy during cancer progression emerges through a selection process in a complex heterogeneous population structure. In the present work, we investigate evolutionary dynamics in a phenotypically heterogeneous…

Populations and Evolution · Quantitative Biology 2018-02-07 Ali Mahdipour Shirayeh , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

Phenotypic heterogeneity in cancer cells is widely observed and is often linked to drug resistance. In several cases, such heterogeneity in drug sensitivity of tumors is driven by stochastic and reversible acquisition of a drug tolerant…

Molecular Networks · Quantitative Biology 2019-01-28 Niraj Kumar , Gwendolyn M. Cramer , Seyed Alireza Zamani Dahaj , Bala Sundaram , Jonathan P. Celli , Rahul V. Kulkarni

We deal with a small enough tumor section to consider it homogeneous, such that populations of lymphocytes and cancer cells are independent of spatial coordinates. A stochastic model based in one step processes is developed to take into…

The dynamics of tumor cell populations is hotly debated: do populations derive hierarchically from a subpopulation of cancer stem cells (CSCs), or are stochastic transitions that mutate differentiated cancer cells to CSCs important? Here we…

Recent evidence suggests that nongenetic (epigenetic) mechanisms play an important role at all stages of cancer evolution. In many cancers, these mechanisms have been observed to induce dynamic switching between two or more cell states,…

Quantitative Methods · Quantitative Biology 2023-06-16 Einar Bjarki Gunnarsson , Jasmine Foo , Kevin Leder

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…

Tissues and Organs · Quantitative Biology 2023-05-25 Zuzanna Szymańska , Mirosław Lachowicz , Nikolaos Sfakianakis , Mark A. J. Chaplain

In this paper we propose a systematic approach to construct mathematical models describing populations of cancer-cells at different stages of disease development. The methodology we propose is based on stochastic Concurrent Constraint…

Computational Engineering, Finance, and Science · Computer Science 2011-09-08 Luca Bortolussi , Alberto Policriti

Asymmetric partition of fate determinants during cell division is a hallmark of cell differentiation. Recent work suggested that such a mechanism is hijacked by cancer cells to increase both their phenotypic heterogeneity and plasticity and…

In previous theoretical research, we inferred that cancer stem cells (CSCs), the cells that presumably drive tumor growth and resistance to conventional cancer treatments, are not uniformly distributed in the bulk of a tumorsphere. To…

Quantitative Methods · Quantitative Biology 2024-03-06 Jerónimo Fotinós , María Paula Marks , Lucas Barberis , Luciano Vellón

Reversibility of state transitions is intensively studied topic in many scientific disciplines over many years. In cell biology, it plays an important role in epigenetic variation of phenotypes, known as phenotypic plasticity. More…

Populations and Evolution · Quantitative Biology 2018-05-23 Denis Horvath , Branislav Brutovsky

Identifying genes underlying cancer development is critical to cancer biology and has important implications across prevention, diagnosis and treatment. Cancer sequencing studies aim at discovering genes with high frequencies of somatic…

Applications · Statistics 2013-12-09 Jie Ding , Lorenzo Trippa , Xiaogang Zhong , Giovanni Parmigiani

In this article, we will see a new approach to study the impact of a small microscopic population of cancer cells on a macroscopic population of healthy cells, with an example inspired by pathological hematopoiesis. Hematopoiesis is the…

Probability · Mathematics 2023-03-14 Céline Bonnet
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