This work is the outcome of the partnership between the mathema- tical group of Department DISBEF and the biochemical group of Department DISB of the University of Urbino Carlo Bo"in order to better understand some crucial aspects of brain cancer oncogenesis. Throughout our collabora- tion we discovered that biochemists are mainly attracted to the instantaneous behaviour of the whole cell, while mathematicians are mostly interested in the evolution along time of small and dierent parts of it. This collaboration has thus been very challenging. Starting from [23, 24, 25], we introduce a compe- titive stochastic model for post-transcriptional regulation of PTEN, including interactions with the miRNA and concurrent genes. Our model also covers protein formation and the backward mechanism going from the protein back to the miRNA. The numerical simulations show that the model reproduces the expected dynamics of normal glial cells. Moreover, the introduction of transla- tional and transcriptional delays oers some interesting insights for the PTEN low expression as observed in brain tumor cells.
Stochastic modelling of PTEN regulation in brain tumors: a model for Glioblastoma Multiforme
CARLETTI, MARGHERITA;MONTANI, MATTEO;MESCHINI, VALENTINA;BIANCHI, MARZIA;RADICI, LUCIA
2015
Abstract
This work is the outcome of the partnership between the mathema- tical group of Department DISBEF and the biochemical group of Department DISB of the University of Urbino Carlo Bo"in order to better understand some crucial aspects of brain cancer oncogenesis. Throughout our collabora- tion we discovered that biochemists are mainly attracted to the instantaneous behaviour of the whole cell, while mathematicians are mostly interested in the evolution along time of small and dierent parts of it. This collaboration has thus been very challenging. Starting from [23, 24, 25], we introduce a compe- titive stochastic model for post-transcriptional regulation of PTEN, including interactions with the miRNA and concurrent genes. Our model also covers protein formation and the backward mechanism going from the protein back to the miRNA. The numerical simulations show that the model reproduces the expected dynamics of normal glial cells. Moreover, the introduction of transla- tional and transcriptional delays oers some interesting insights for the PTEN low expression as observed in brain tumor cells.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
