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.
Read or Download Branching Process Models of Cancer (Mathematical Biosciences Institute Lecture Series) PDF
Similar probability & statistics books
This quantity is the 1st book-length therapy of model-based geostatistics. The textual content is expository, emphasizing statistical tools and purposes instead of the underlying mathematical thought. Analyses of datasets from more than a few clinical contexts characteristic prominently, and simulations are used to demonstrate theoretical effects.
Statistical equipment in nutrients and client learn, moment version, is still the single e-book to concentration completely at the statistical ideas utilized in sensory trying out of meals, prescribed drugs, cosmetics, and different buyer items. This re-creation contains the newest functions of statistical tools, and lines major updates in addition to new chapters.
Quantitative equipment and purposes in GIS integrates GIS, spatial research, and quantitative the way to handle a number of concerns in socioeconomic stories and public coverage. equipment diversity from uncomplicated regression research to complicated issues similar to linear programming and approach of equations. purposes fluctuate from average subject matters in city and neighborhood research - exchange region research, accessibility measures, research of nearby development styles, land use simulation - to concerns on the topic of crime and future health analyses.
Swap of Time and alter of degree offers a accomplished account of 2 subject matters which are of specific importance in either theoretical and utilized stochastics: random swap of time and alter of likelihood legislation. Random switch of time is vital to knowing the character of assorted stochastic techniques, and provides upward push to attention-grabbing mathematical effects and insights of value for the modeling and interpretation of empirically saw dynamic techniques.
- Essentials of Probability Theory for Statisticians (Chapman & Hall/CRC Texts in Statistical Science)
- Super Golfonomics
- R for Statistics
- Handbook of Latent Variable and Related Models (Handbook of Computing and Statistics with Applications)
- Radar Interferometry: Data Interpretation and Error Analysis: v. 2 (Remote Sensing and Digital Image Processing)
- Statistik II für Dummies (Fur Dummies) (German Edition)
Additional resources for Branching Process Models of Cancer (Mathematical Biosciences Institute Lecture Series)