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 Modelling and analysis of nonnecrotic tumors. A Functional Analytic Approach
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Modelling and analysis of nonnecrotic tumors. A Functional Analytic Approach

автор Anca-Voichita M. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 140        мягкая обложка       
Аннотация:The tumor is treated as an incompressible fluid, tissue elasticity is neglected, and the mathematical model is a moving boundary problem. If we consider star-shaped initial tumor domains, we can re-express the mathematical model as an abstract evolution equation. We study in this work a mathematical model for the growth of nonnecrotic tumors in different regimes of vascularisation. The asymptotic behaviour of this solution it is also discussed. In the radially symmetric case we establish the existence of a unique radially symmetric stationary solution and show, that if the initial tumor is radially symmetric, there exists a unique radially symmetric solution of the problem, which exists for all times. Modelling and simulation of tumor growth is one of the challenging frontiers of applied mathematics. The stability properties of the radially symmetric equilibrium are studied using the principle of linearised stability . Using general results for parabolic equations we prove the well-posedness of the model. Finally, we show, via a bifurcation argument, that there exist also other stationary solutions of the problem, which are no longer radially symmetric.
Автор: Anca-Voichita M.
Издательство: Книга по Требованию
Год:2009
Цена:
3214 руб
Нет в наличии
Поиск: Modelling and analysis of nonnecrotic tumors. A Functional Analytic Approach
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
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Потоки в Visual Basic

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