Cover Image
Read Now

Transient Processes in Cell Proliferation Kinetics

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 s...

Full description

Bibliographic Details
Main Authors: Yakovlev, Andrej Yu, Yanev, Nikolaj M. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1989, 1989
Edition:1st ed. 1989
Series:Lecture Notes in Biomathematics
Subjects:
Mathematical And Computational Biology
Probability Theory
Biomathematics
Probabilities
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • References
  • I Some Points of the Theory of Branching Stochastic Processes
  • 1.1. Introduction
  • 1.2. The Galton-Watson Process
  • 1.3. The Bellman-Harris Process
  • 1.4. Asymptotic Behaviour of the Bellman-Harris Process Characteristics
  • 1.5. The Multitype Age-Dependent Branching Processes
  • References
  • II Induced Cell Proliferation Kinetics within the Framework of a Branching Process Model
  • 2.1. Introduction
  • 2.2. The Subsequent Generations of Cells Induced to Proliferate
  • 2.3. Age Distributions in Successive Generations
  • 2.4. A Multitype Branching Process Model and Induced Cell Proliferation Kinetics
  • 2.5. Grain Count Distribution and Branching Stochastic Processes
  • References
  • III Semistochastic Models of Cell Population Kinetics
  • 3.1. Introduction
  • 3.2. Integral Equations of Steady-State Dynamics of a Transitive Cell Population
  • 3.3. Investigation of Periodic Processes in Cell Kinetics
  • 5.3. Dynamic Replacement of Hepatocytes, a Mechanism Maintaining Specialized Functions of the Regenerating Liver
  • 5.4. A Simple Mathematical Model of Liver Response to Partial Hepatectomy of Different Extent
  • References
  • Conclusion
  • 3.4. Basic Integral Equations for Unsteady State Cell Kinetics
  • 3.5. Construction of the q-index of the S-phase in a Special Case
  • 3.6. Examples of Constructing Transient Processes for Particular States of Cell Kinetics
  • 3.7. Analysis of the Process of Cell Blocking in the Mitotic Cycle
  • References
  • IV The Fraction Labelled Mitoses Curve in Different States of Cell Proliferation Kinetics
  • 4.1. Introduction
  • 4.2. “Flux-expectations” Concept and the Fraction Labelled Mitoses Curve
  • 4.3. Mathematical Model Based on Transient Phenomena in Cell Kinetics
  • 4.4. Investigation of Labelled Mitoses Curve Behaviour under Unsteady-State Cell Kinetics Conditions
  • 4.5. Labelled Mitoses Curve under the Conditions of the Diurnal Rhythm of Cell Proliferation Processes
  • References
  • V Applications of Kinetic Analysis. Rat Liver Regeneration
  • 5.1. Introduction
  • 5.2. KineticAnalysis of Induced Hepatocyte Proliferation in Regenerating Rat Liver

Similar Items