Radially symmetric growth of nonnecrotic tumors |
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Authors: | Joachim Escher Anca-Voichita Matioc |
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Institution: | 1. Institut für Angewandte Mathematik, Leibniz Universit?t Hannover, Welfengarten 1, 30167, Hannover, Germany
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Abstract: | The growth of tumors is an important subject in recent research. We present here a mathematical model for the growth of nonnecrotic
tumors in all the three regimes of vascularisation. This leads to a free-boundary problem which we treat by means ODE techniques.
We prove the existence of a unique radially symmetric stationary solution. It is also shown that, if the initial tumor is
radially symmetric, there exists a unique radially symmetric solution of the evolution equation, which exists for all times.
The asymptotic behaviour of this solution will be discussed in relation to the parameters characterizing cell proliferation
and cell death. |
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Keywords: | |
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