A Multiscale Mathematical Model of Tumour Invasive Growth
Autor: | Lu Peng, Mark A. J. Chaplain, Dumitru Trucu, Ping Lin, Alastair M. Thompson |
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Přispěvatelé: | University of St Andrews. Applied Mathematics |
Rok vydání: | 2017 |
Předmět: |
0301 basic medicine
QH301 Biology Dynamical Systems (math.DS) uPA system Extracellular matrix Multiscale modelling 0302 clinical medicine Tumor Microenvironment Fibrinolysin Mathematics - Dynamical Systems Tissues and Organs (q-bio.TO) QA General Environmental Science education.field_of_study Chemistry General Neuroscience Proteolytic enzymes Extracellular Matrix Cell biology Computational Theory and Mathematics 030220 oncology & carcinogenesis General Agricultural and Biological Sciences Algorithms medicine.drug Cell type General Mathematics Immunology Population NDAS Cancer invasion Models Biological General Biochemistry Genetics and Molecular Biology RC0254 QH301 03 medical and health sciences SDG 3 - Good Health and Well-being FOS: Mathematics medicine Humans Computer Simulation Neoplasm Invasiveness QA Mathematics Quantitative Biology - Populations and Evolution education Pharmacology Urokinase RC0254 Neoplasms. Tumors. Oncology (including Cancer) Populations and Evolution (q-bio.PE) Cancer Quantitative Biology - Tissues and Organs Mathematical Concepts medicine.disease Urokinase-Type Plasminogen Activator 030104 developmental biology The Hallmarks of Cancer FOS: Biological sciences Cancer cell |
Zdroj: | Bulletin of Mathematical Biology. 79:389-429 |
ISSN: | 1522-9602 0092-8240 |
Popis: | Known as one of the hallmarks of cancer (Hanahan and Weinberg in Cell 100:57–70, 2000) 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. This process explores and takes advantage of the reciprocal relation that solid tumours establish with the extracellular matrix (ECM) components and other multiple distinct cell types from the surrounding microenvironment. Through the secretion of various proteolytic enzymes such as matrix metalloproteinases or the urokinase plasminogen activator (uPA), the cancer cell population alters the configuration of the surrounding ECM composition and overcomes the physical barriers to ultimately achieve local cancer spread into the surrounding tissue. The active interplay between the tissue-scale tumour dynamics and the molecular mechanics of the involved proteolytic enzymes at the cell scale underlines the biologically multiscale character of invasion and raises the challenge of modelling this process with an appropriate multiscale approach. In this paper, we present a new two-scale moving boundary model of cancer invasion that explores the tissue-scale tumour dynamics in conjunction with the molecular dynamics of the urokinase plasminogen activation system. Building on the multiscale moving boundary method proposed in Trucu et al. (Multiscale Model Simul 11(1):309–335, 2013), the modelling that we propose here allows us to study the changes in tissue-scale tumour morphology caused by the cell-scale uPA microdynamics occurring along the invasive edge of the tumour. Our computational simulation results demonstrate a range of heterogeneous dynamics which are qualitatively similar to the invasive growth patterns observed in a number of different types of cancer, such as the tumour infiltrative growth patterns discussed in Ito et al. (J Gastroenterol 47:1279–1289, 2012). Postprint |
Databáze: | OpenAIRE |
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