Series in Mathematical Biology and Medicine - Vol. 1
STOCHASTIC MODELS OF TUMOR LATENCY AND THEIR BIOSTATISTICAL APPLICATIONS
by A Yu Yakovlev (Ohio State University, USA) & A D Tsodikov (University of Leipzig, Germany)
edited by B Asselain (Institut Curie, Paris)
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:
- Introduction
- Mathematical Description of Tumor Latency
- Regression
Analysis of Tumor Recurrence Data
- Threshold Models of Tumor Latency
- Statistical Analysis of Discrete Cancer Surveillance
- Optimal Strategies of Cancer Surveillance. Minimum Delay Time Approach
- Optimal Strategies of Cancer Surveillance. Minimum Cost Approach
Readership: Students and researchers in biomathematics and biostatistics.
"The book is mathematically very clever although it uses only occasional techniques beyond the basic probability and statistics ... it clearly demonstrates that new biomedical knowledge does emerge from the stochastic modeling of cancer development ... this interesting book is a noticeable event in biomathematics and biostatistics in general, and in carcinogenesis modeling in particular."
| 288pp |
Pub. date: Mar 1996 |
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