EBOOK Stochastic Models Of Tumor Latency And Their Biostatistical Applications

This research monograph discusses newly developed mathematical models and methods that provide biologically meaningful inferences from data on cancer latency produced by follow-up and discrete surveillance studies. Methods for designing optimal strategies of cancer surveillance are systematically presented for the first time in this book. It offers new approaches to the stochastic description of tumor latency, employs biologically-based models for making statistical inference from data on tumor recurrence and also discusses methods of statistical analysis of data resulting from discrete surveillance strategies. It also offers insight into the role of prognostic factors based on the interpretation of their effects in terms of parameters endowed with biological meaning, as well as methods for designing optimal schedules of cancer screening and surveillance. Last but not least, it discusses survival models allowing for cure rates and the choice of optimal treatment based on covariate information, and presents numerous examples of real data analysis.Contents:IntroductionMathematical Description of Tumor LatencyRegression Analysis of Tumor Recurrence DataThreshold Models of Tumor LatencyStatistical Analysis of Discrete Cancer SurveillanceOptimal Strategies of Cancer SurveillanceMinimum Delay Time ApproachOptimal Strategies of Cancer SurveillanceMinimum Cost ApproachReadership: Students and researchers in biomathematics and biostatistics.Key Features:Each reprint in the volume is preceded by a short commentary giving its motivations, explaining how it fits in with the general evolution of the research field, and pointing out connections between works done in different periods