Transient Processes in Cell Proliferation Kinetics
Springer Berlin (Verlag)
978-3-540-51831-0 (ISBN)
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. KineticAnalysis 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.
Erscheint lt. Verlag | 6.12.1989 |
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Reihe/Serie | Lecture Notes in Biomathematics |
Übersetzer | B.I. Grudinko |
Zusatzinfo | VI, 214 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 170 x 244 mm |
Gewicht | 380 g |
Themenwelt | Informatik ► Weitere Themen ► Bioinformatik |
Mathematik / Informatik ► Mathematik ► Algebra | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Schlagworte | Branching Process • Dynamics • Galton-Watson Process • Kinetics • Mathematics • Stochastic Processes |
ISBN-10 | 3-540-51831-2 / 3540518312 |
ISBN-13 | 978-3-540-51831-0 / 9783540518310 |
Zustand | Neuware |
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