Abstract
A stochastic model describing tumor growth based on Gompertz law is considered. We pay attention on the tumor size at time detection. We assume the initial state as a random variable since it may suffer from errors due to measurement and diagnostics. The aim of the present work is to study the first exit time problem for the resulting stochastic process. A numerical analysis is also performed for particular choices of the initial distribution.
Work performed under partial support by G.N.C.S.-INdAM and by Regione Campania.
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Albano, G., Giorno, V. (2009). On the First Exit Time Problem for a Gompertz-Type Tumor Growth. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2009. EUROCAST 2009. Lecture Notes in Computer Science, vol 5717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04772-5_16
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DOI: https://doi.org/10.1007/978-3-642-04772-5_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04771-8
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