Skip to main content
SpringerLink
Log in

Transient Processes in Cell Proliferation Kinetics

  • Book
  • © 1989

Overview

Authors:
  1. Andrej Yu. Yakovlev

    1. Leningrad Polytechnical Institute, Leningrad, USSR

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Nikolaj M. Yanev

    1. Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Biomathematics (LNBM, volume 82)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages I-VI
    Download chapter PDF

  2. Introduction

    • Andrej Yu. Yakovlev, Nikolaj M. Yanev
    Pages 1-12

  3. Some Points of the Theory of Branching Stochastic Processes

    • Andrej Yu. Yakovlev, Nikolaj M. Yanev
    Pages 13-36

  4. Induced Cell Proliferation Kinetics within the Framework of a Branching Process Model

    • Andrej Y. Yakovlev, Nikolaj M. Yanev
    Pages 37-83

  5. Semistochastic Models of Cell Population Kinetics

    • Andrej Yu. Yakovlev, Nikolaj M. Yanev
    Pages 84-136

  6. The Fraction Labelled Mitoses Curve in Different States of Cell Proliferation Kinetics

    • Andrej Yu. Yakovlev, Nikolaj M. Yanev
    Pages 137-175

  7. Applications of Kinetic Analysis. Rat Liver Regeneration

    • Andrej Yu. Yakovlev, Nikolaj M. Yanev
    Pages 176-207

  8. Conclusion

    • Andrej Yu. Yakovlev, Nikolaj M. Yanev
    Pages 208-212

  9. Back Matter

    Pages 213-220
    Download chapter PDF
Back to top

Keywords

About this book

A mathematician who has taken the romantic decision to devote himself to biology will doubtlessly look upon cell kinetics as the most simple and natural field of application for his knowledge and skills. Indeed, the thesaurus he is to master is not so complicated as, say, in molecular biology, the structural elements of the system, i. e. ceils, have been segregated by Nature itself, simple considerations of balance may be used for deducing basic equations, and numerous analogies in other areas of science also superficial add to one"s confidence. Generally speaking, this number of impression is correct, as evidenced by the very great theoretical studies on population kinetics, unmatched in other branches of mathematical biology. This, however, does not mean that mathematical theory of cell systems has traversed in its development a pathway free of difficulties or errors. The seeming ease of formalizing the phenomena of cell kinetics not infrequently led to the appearance of mathematical models lacking in adequacy or effectiveness from the viewpoint of applications. As in any other domain of science, mathematical theory of cell systems has its own intrinsic logic of development which, however, depends in large measure on the progress in experimental biology. Thus, during a fairly long period running into decades activities in that sphere were centered on devising its own specific approaches necessitated by new objectives in the experimental in vivo and in vitro investigation of cell population kinetics in different tissues.

Authors and Affiliations

  • Leningrad Polytechnical Institute, Leningrad, USSR

    Andrej Yu. Yakovlev

  • Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Nikolaj M. Yanev

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation