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Transient processes in cell proliferation kinetics

Author: Andrej Yu Yakovlev; Nikolaj M Yanev
Publisher: Berlin ; New York : Springer-Verlag, ©1989.
Series: Lecture notes in biomathematics, 82.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

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  Read more...

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Genre/Form: Conference papers and proceedings
Congresses
Additional Physical Format: Online version:
Yakovlev, Andrej Yu., 1944-
Transient processes in cell proliferation kinetics.
Berlin ; New York : Springer-Verlag, ©1989
(OCoLC)767697697
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Andrej Yu Yakovlev; Nikolaj M Yanev
ISBN: 3540518312 9783540518310 0387518312 9780387518312
OCLC Number: 22548635
Description: vi, 214 pages : illustrations ; 25 cm.
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.- 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. Kinetic Analysis of Induced Hepatocyte Proliferation in Regenerating Rat Liver.- 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.
Series Title: Lecture notes in biomathematics, 82.
Responsibility: Andrej Yu. Yakovlev, Nikolaj M. Yanev ; [translator, B.I. Grudinko].
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