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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.
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Transient processes in cell proliferation kinetics. Lecture notes in biomathematics; 82.
Da: Antiquariat Bookfarm, Löbnitz, Germania
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Softcover. VI, 214 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-01208 3540518312 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2485064
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Transient Processes in Cell Proliferation Kinetics
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 compl. Codice articolo 4892150
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Transient Processes in Cell Proliferation Kinetics
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Springer Berlin Heidelberg, 1989
ISBN 10: 3540518312
ISBN 13: 9783540518310
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783540518310
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Transient Processes in Cell Proliferation Kinetics
ISBN 10: 3540518312
ISBN 13: 9783540518310
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 232 pp. Englisch. Codice articolo 9783540518310
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Transient Processes in Cell Proliferation Kinetics (Lecture Notes in Biomathematics, 82)
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Transient Processes in Cell Proliferation Kinetics (Lecture Notes in Biomathematics, 82)
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Transient Processes in Cell Proliferation Kinetics (Lecture Notes in Biomathematics (82))
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