Transient Processes in Cell Proliferation Kinetics (Lecture Notes in Biomathematics): 82 - Brossura

Yakovlev, Andrej Yu.

Brossura

ISBN 10: 3540518312 ISBN 13: 9783540518310

Casa editrice: Springer, 1988

Riassunto

This research monograph on the theory of unsteady cell kinetics based on stochastic and semi-stochastic models sets out to fill a gap in the literature. Specifically, considering the effect of transient processes in cell proliferation kinetics reveals new possible applications of the mathematical methods and also new regularity features of systems with induced cell proliferation. Thus for instance, a comprehensive analysis of the transition of hepatocytes to DNA synthesis and mitosis in regenerating rat liver is presented. Addressed primarily to researchers concerned with cell/tissue kinetics, the book can also be used by students knowing basic probability, as an introduction to the mathematics of cell proliferation kinetics.

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Contenuti

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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 1988
• Lingua: Inglese
• ISBN 10: 3540518312
• ISBN 13: 9783540518310
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 232
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania