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논문 기본 정보

자료유형
학술대회자료
저자정보
Yangjin Kim (Konkuk University) Hans G Othmer (University of Minnesota) Sookkyung Lim (University of Cincinnati)
저널정보
한국산업응용수학회 한국산업응용수학회 학술대회 논문집 한국산업응용수학회 학술대회 논문집 Vol.7 No.1
발행연도
2012.5
수록면
73 - 77 (5page)

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Ductal carcinoma in situ (DCIS) is an early stage non-invasive breast cancer that originates in the epithelial lining of the milk ducts. These cells actively proliferate and stay in the duct. However, DCIS can evolve into comedo DCIS and ultimately the most common type of breast cancer, invasive ductal carcinoma, which can induce metastasis. Understanding the progression and how to effectively intervene in it presents a major scientific challenge. Stromal tissue surrounding a duct contains the extracellular matrix (ECM), several types of cells and several types of growth factors that are known to individually affect tumor growth and invasion, but at present the complex mechanical and biochemical interactions of these stromal cells with cancer cells is poorly understood. Among those stromal cells, fibroblasts and their aggressive types, myofibroblasts, were shown to play an important role in tumor growth and invasion. Here we illustrate how hybrid models can reproduce experimental results and generate predictions that need to be verified in followup experiments. The mathematical model incorporates the cross-talk between stromal and tumor cells via growth factors and several types of proteases. The model predict how perturbations of the local biochemical and mechanical state influence tumor evolution and invasion. Epithelial cells (ECs) and stromal cells are modeled individually and their interactions are mediated by a set of partial differential equations for growth factors and proteases. Our results shed light on the biochemical and mechanical interactions between growth factors, mechanical properties of the ECM, and feedback signaling loops between stromal and tumor cells, and suggest how epigenetic changes in transformed cells affect tumor progression.

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ABSTRACT
INTRODUCTION
MATHEMATICAL MODEL OF TUMOR GROWTH
INVASION MODEL
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UCI(KEPA) : I410-ECN-0101-2014-410-000450325