Branching Processes in Biology by Marek Kimmel, David E. Axelrod

By Marek Kimmel, David E. Axelrod

This publication offers a theoretical history of branching technique and discusses their organic functions. Branching strategies are a well-developed and robust set of instruments within the box of utilized chance. the diversity of purposes thought of comprises molecular biology, mobile biology, human evolution, and medication. The branching strategies mentioned contain Galton-Watson, Markov, Bellman-Harris, Multitype, and normal strategies. As an relief to realizing particular examples, introductory chapters and glossaries are incorporated that supply history fabric in arithmetic and in biology.

The publication should be of curiosity to scientists who paintings in quantitative modeling of organic platforms, really probabilists, mathematical biologists, biostatisticians, telephone biologists, molecular biologists, and bioinformaticians.

The authors are a mathematician and cellphone biologist who've collaborated for greater than a decade within the box of branching procedures in biology.

Show description

Read or Download Branching Processes in Biology PDF

Similar biostatistics books

Evolutionary Bioinformatics

Evolutionary Bioinformatics goals to make the "new" information-based (rather than gene-based) bioinformatics intelligible either to the "bio" humans and the "info" humans. Books on bioinformatics have usually served gene-hunters, and biologists who desire to build relatives timber displaying tidy strains of descent.

Basic Pharmacokinetics and Pharmacodynamics: An Integrated Textbook and Computer Simulations

Up to date with new chapters and subject matters, this ebook presents a finished description of all crucial themes in modern pharmacokinetics and pharmacodynamics. It additionally positive factors interactive laptop simulations for college students to test and notice PK/PD types in motion. •    Presents the necessities of pharmacokinetics and pharmacodynamics in a transparent and revolutionary manner•    Helps scholars higher savor very important options and achieve a better knowing of the mechanism of motion of substances by way of reinforcing sensible purposes in either the e-book and the pc modules•    Features interactive computing device simulations, on hand on-line via a significant other site at: http://www.

Biostatistics: A Foundation for Analysis in the Health Sciences 6th Edition

Like its predecessors, this variation stresses intuitive knowing of ideas instead of studying through mathematical evidence. offers vast insurance of statistical systems utilized in the entire healthiness technological know-how disciplines. This model encompasses a larger emphasis on laptop purposes, and many of the statistical options contain the MINITAB instructions during which they are often utilized.

Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach

A different and finished textual content at the philosophy of model-based info research and process for the research of empirical info. The booklet introduces details theoretic methods and focuses severe cognizance on a priori modeling and the choice of an outstanding approximating version that most sensible represents the inference supported through the knowledge.

Additional info for Branching Processes in Biology

Example text

1998. An Introduction to Stochastic Modeling, 3rd ed. , Boston. E. 1988. Mathematical Models in Cancer Research. Adam Hilger, Bristol. S. L. 1988. Models and their roles in biology, in Computer Simulations of Self-Organization in Biological Systems. Macmillan, New York, pp. 11–19. A. P. 1989. The hypothetical way of progress. Nature 338: 109. • Maddox, J. 1992. Is molecular biology yet a science? Nature 355: 201. • Maddox, J. 1994. Cell-cycle regulation by numbers. Nature 369: 437. • Maddox, J.

Springer-Verlag, New York. R. 1989. Empirical Model Building. Wiley, New York. A. ). 1994. Frontiers in Mathematical Biology. Lecture Notes in Biomathematics, Volume 100. Springer-Verlag, Berlin. A. 1987. Modeling Dynamic Phenomena in Molecular and Cellular Biology. Cambridge University Press, Cambridge. A. ). 1980. Mathematical Models in Molecular and Cellular Biology. Cambridge University Press, London. For those who wish an introduction to stochastic process: • Syski, R. 1988. Random Processes, A First Look, 2nd ed.

The changes observed range in size from single-base mutations in DNA to large chromosome rearrangements. In addition to the common changes among the cells in a single tumor, many cells may show additional changes distinct for each cell in a tumor. In other words, tumors are monoclonal in origin but heterogeneous. Many tumors are genetically unstable, showing an increased probability of undergoing mutations or gene amplification. A mutant gene may produce a protein product with an altered function, and a gene with amplified number of copies may produce an increased amount of a protein.

Download PDF sample

Rated 4.90 of 5 – based on 15 votes