Biological Oscillators


Theodosios. Pavlidis
Bok Engelsk 2012 · Electronic books.
Annen tittel
Utgitt
Burlington : : Elsevier Science, , 2012.
Omfang
1 online resource (222 p.)
Opplysninger
Description based upon print version of record.. - Front Cover; Biological Oscillators: Their Mathematical Analysis; Copyright Page; Dedication; Table ofContents; Preface; Acknowledgments; Chapter 1. Fundamentals of the Mathematical Theory of Oscillators; 1.1 Introduction; 1.2 Phase Plane Techniques; 1.3 An Example of Application of Phase Plane Techniques; 1.4 State Space; 1.5 Asymptotic Techniques; 1.6 Describing Function; 1.7 Conservative Systems; Chapter 2. Examples of Biological Rhythms; 2.1 Introduction; 2.2 Circadian Rhythms; 2.3 Circadian Rhythms in an Insect Population; 2.4 Circadian Rhythms in Cell Populations. - 2.5 Biochemical Oscillators2.6 Neural Oscillators; 2.7 Oscillations in Cultures of Fungi; Chapter 3. Phase Shifts and Phase Response Curves; 3.1 Introduction; 3.2 Timing Sequences, Isochrones, Phase Response Curves, and Phase Transition Curves; 3.3 Experimental Phase Response Curves; 3.4 Analysis of Phase Response Curves; 3.5 Isochrones and Phase Response Curves of a van der Pol Oscillator; 3.6 Phase Response Curves of a Biochemical Oscillator; 3.7 Bibliographical Notes; Chapter 4. Entrainment of Oscillators by External Inputs; 4.1 Introduction; 4.2 Entrainment of a van der Pol Oscillator. - 4.3 Entrainment of Circadian Clocks by Light and Temperature Cycles4.4 Fringe Entrainment; 4.5 Entrainment of Oscillators by Pulses; 4.6 Entrainment of a Circadian Rhythm by Light Pulses; 4.7 Subharmonic Entrainment; 4.8 Bibliographical Notes; Chapter 5. The Dynamics of Circadian Oscillators; 5.1 Introduction; 5.2 Dependence of the Period of an Oscillator on Constant Environmental Factors; 5.3 Mathematical Formulation of a Model for Biological Oscillators; 5.4 The Independence between the Phase Response Curve and the Effects of Light on the Free-Run Period. - 5.5 Computer Simulation of Models for the Circadian Clock5.6 Starting and Stopping the Clock; 5.7 Bibliographical Notes; Chapter 6. Effects of Changing Environment on the Dynamics of Biological Oscillators; 6.1 Introduction; 6.2 State Variables and Parameters; 6.3 Temperature Compensation in the Drosophila Pseudoobscura Eclosion Rhythm; 6.4 Temperature Compensation in Unicellular Organisms; 6.5 Effects of Heavy Water; 6.6 Bibliographical Notes; Chapter 7. Populations of Interacting Oscillators; 7.1 Introduction; 7.2 Structural Stability. - 7.3 Monofrequency Oscillations in Systems of Coupled Oscillators Studied by Asymptotic Techniques7.4 Strategies for the Study of Populations of Oscillators; 7.5 Synchronization of Populations of Oscillators: The Weakly Nonlinear Case; 7.6 Synchronization of Populations of Oscillators: The General Case; 7.7 Concluding Remarks; 7.8 Bibliographical Notes; Chapter 8. Biological Phenomena Attributable to Populations of Oscillators; 8.1 Introduction; 8.2 Frequency Doubling in Circadian Rhythms; 8.3 A System of Coupled Biochemical Oscillators. - 8.4 Spatial Organization of Populations of Oscillators and an Interpretation of the Pattern of Zonation of Fungi Cultures. - Biological Oscillators: Their Mathematical Analysis
Emner
Sjanger
Dewey
ISBN
0125473508

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