Download Branching Process Models of Cancer (Mathematical Biosciences by Richard Durrett PDF

By Richard Durrett

This quantity develops effects on non-stop time branching methods and applies them to review price of tumor progress, extending vintage paintings at the Luria-Delbruck distribution. accordingly, the writer calculate the chance 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 innovations and provides rigorous proofs for result of Heano and Michor referring to tumor metastasis. those notes could be available to scholars who're accustomed to Poisson tactics and non-stop time Markov chains.

Richard Durrett is a mathematics professor at Duke collage, united states. he's the writer of eight books, over two hundred magazine articles, and has supervised greater than forty Ph.D scholars. so much of his present learn matters the functions of likelihood to biology: ecology, genetics and so much lately cancer.

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