Mathematical Models of Cancer Stem Cells

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Mathematical models of cancer stem cells.

Human cancers are thought to be sustained in their growth by a pathologic counterpart of normal adult stem cells: cancer stem cells. This concept was first developed in human myeloid leukemias and is today being extended to solid tumors such as breast and brain cancers. A quantitative understanding of cancer stem cells requires a mathematical framework to describe the dynamics of cancer initiat...

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Cancer stem cells: therapeutic targets

Cancer stem cells (CSCs) have been identified as rare cellular populations in many cancers, including leukemia and solid tumors. This minor subpopulation of cancerous cells is immortal tumor-initiating cells which thought to be responsible for cancer initiation, progression, metastasis, recurrence and drug/radiation resistance. Low proliferative rate, high self-renewing capacity, differentiatio...

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A Glance into Cancer Stem Cells

The presence of stem cells in leukemia and solid tumors has been demonstrated in recent decades. Cancer stem cells have the potency of tumorigenesis; furthermore, they have the ability of self-renewing and differentiation like other stem cells. They also play important role in the process of tumor invasion and metastasis. Several studies have been performed to discover the spe...

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Mathematical Modeling of Stem Cells Related to Cancer

In this chapter we present an overview of different mathematical and numerical approaches to describe stem cell proliferation and differentiation and the development of small cancer stem cell populations that are origins of neoplasm disease. The purpose of this chapter is not to scare the reader with complex mathematical and numerical analysis. Instead we aim to summarize the wide range of poss...

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Characterization of brain cancer stem cells: a mathematical approach.

OBJECTIVE In recent years, support has increased for the notion that a subpopulation of brain tumour cells in possession of properties typically characteristic of stem cells is responsible for initiating and maintaining the tumour. Unravelling details of the brain tumour stem cell (BTSC) hierarchy, as well as interactions of these cells with various therapies, will be essential in the design of...

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ژورنال

عنوان ژورنال: Journal of Clinical Oncology

سال: 2008

ISSN: 0732-183X,1527-7755

DOI: 10.1200/jco.2007.15.2421