By Richard Durrett
This quantity develops effects on non-stop time branching techniques and applies them to review price of tumor development, extending vintage paintings at the Luria-Delbruck distribution. hence, the writer calculate the likelihood that mutations that confer resistance to therapy are current at detection and quantify the level of tumor heterogeneity. As purposes, the writer evaluation ovarian melanoma screening recommendations and provides rigorous proofs for result of Heano and Michor pertaining to tumor metastasis. those notes could be available to scholars who're conversant in Poisson procedures and non-stop time Markov chains.
Richard Durrett is a mathematics professor at Duke college, united states. he's the writer of eight books, over two hundred magazine articles, and has supervised greater than forty Ph.D scholars. such a lot of his present learn issues the functions of likelihood to biology: ecology, genetics and such a lot lately cancer.
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