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A Novel Method for Simulating the Extracellular Matrix in Models of Tumour Growth
المؤلفون المشاركون
Becker, Stefan
Toma, Alina
Schuetz, Tina A.
Mang, Andreas
Buzug, Thorsten M.
المصدر
Computational and Mathematical Methods in Medicine
العدد
المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-11، 11ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2012-08-07
دولة النشر
مصر
عدد الصفحات
11
التخصصات الرئيسية
الملخص EN
A novel hybrid continuum-discrete model to simulate tumour growth on a cellular scale is proposed.
The lattice-based spatiotemporal model consists of reaction-diffusion equations that describe interactions between cancer cells and their microenvironment.
The fundamental ingredients that are typically considered are the nutrient concentration, the extracellular matrix (ECM), and matrix degrading enzymes (MDEs).
The in vivo processes are very complex and occur on different levels.
This in turn leads to huge computational costs.
The main contribution of the present work is therefore to describe the processes on the basis of simplified mathematical approaches, which, at the same time, depict realistic results to understand the biological processes.
In this work, we discuss if we have to simulate the MDE or if the degraded matrix can be estimated directly with respect to the cancer cell distribution.
Additionally, we compare the results for modelling tumour growth using the common and our simplified approach, thereby demonstrating the advantages of the proposed method.
Therefore, we introduce variations of the positioning of the nutrient delivering blood vessels and use different initializations of the ECM.
We conclude that the novel method, which does not explicitly model the matrix degrading enzymes, provides means for a straightforward and fast implementation for modelling tumour growth.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Toma, Alina& Mang, Andreas& Schuetz, Tina A.& Becker, Stefan& Buzug, Thorsten M.. 2012. A Novel Method for Simulating the Extracellular Matrix in Models of Tumour Growth. Computational and Mathematical Methods in Medicine،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-447116
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Toma, Alina…[et al.]. A Novel Method for Simulating the Extracellular Matrix in Models of Tumour Growth. Computational and Mathematical Methods in Medicine No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-447116
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Toma, Alina& Mang, Andreas& Schuetz, Tina A.& Becker, Stefan& Buzug, Thorsten M.. A Novel Method for Simulating the Extracellular Matrix in Models of Tumour Growth. Computational and Mathematical Methods in Medicine. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-447116
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-447116
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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