This volume contains the lectures and contributions presented at the International Symposium on Temporal Order held in Bremen, September 17-22, 1984. Temporal order, such as a more or less regularly repeated temporal sequence of events, can evol ve in open systems far removed from equi 1 i bri um. Progress duri ng the last decade in the analysis and the modelling of this complex phenomenon in both biological and chemical systems gave rise to the idea of a joint conference. The purpose of the symposium was to stimulate future work by enhancing the exchange of experimental and theoretical results between neighbouring disciplines. Theoretical work in general, and mathematical models in particular, provided the basis for a mutual discussion and, thus, helped to overcome difficulties in under­ standing the results of different experimental fields. Chemical systems, for examp­ le, are more rigorously controllable through their experimental conditions in com­ parison to biological systems, which maintain highly effective autonomous control against environmental influences. Therefore, different states such as bistability, oscillations and chaos can be defined and, hence, described better in chemical sy­ stems. Chemical systems may thus provide some insights into functional structures that also exist in more complex biological systems.

Inhalt

I Dynamics of Chemical Systems.- Spontaneous Temporal and Spatial Phenomena in Physicochemical Systems.- Some Factors Generating Temporally Ordered Behavior.- Mechanisms and Chemically Consistent Models for Isothermal Oscillations in the CSTR.- Analysis and Qualitative Modelling of Experimentally Observed Dynamic Features.- A Physicist's Description of Chemical Oscillations.- Multiplicity-Induced Oscillations in Porous Catalysts.- Temporal Oscillations Induced by Boundary Conditions in Systems with and Without Spatial Patterns.- On the Classification of Local Disorder in Globally Regular Spatial Patterns.- Some Proposals Concerning the Mathematical Modelling of Oscillating Heterogeneous Catalytic Reactions on Metal Surfaces.- In-Situ IR Study During Oscillations of the Catalytic CO Oxidation.- Spatial Effects and Oscillations in Heterogeneous Catalytic Reactions.- Dynamics of the Heterogeneous Catalytic Oxidation of Carbon Monoxide on Zeolite Supported Palladium.- Toroidal Oscillations During the Oxidation of Methanol on Zeolite Supported Palladium.- Oscillatory Behavior of Cobalt Electrodes During Transition from the Active to the Passive State.- Periodic and Aperiodic Regimes in Forced Chemical Oscillations.- Periodic Perturbation of the BZ-Reaction in a CSTR: Chemical Resonance, Entrainment and Quasi-Periodic Behavior.- Periodic Perturbation of Limit Cycles in an Isothermal CSTR.- Oscillations in a CSTR Affected by the Pump Periodicity.- II Dynamics of Biological Systems.- Synchronization, Phase-Locking and Other Phenomena in Coupled Cells.- The Influence of Fluctuations on Sustained Oscillations.- Movement in Space.- Chemomechanical Interfacial Instabilities and Waves: Their Possible Role for the Cell Locomotion on Substrates.- Contraction and Oscillations in a Simple Model for Cell Plasma Motion.- Circle Maps and the Periodic Forcing of Limit Cycle Oscillators.- Cellular Metabolism and Transport.- Dynamic Coupling and Time Patterns in Biochemical Processes.- Dimension and Liapunov Exponents of a Strange Attractor from Biochemical Data.- Coupling of Glycolytic Oscillations and Convective Patterns.- Computation of Bifurcation Diagrams for Selkov's Model of Glycolytic Oscillations.- Comparison of the Linear and Non-Linear Temperature Properties and Model Simulations of the In Vivo Glycolytic System.- Circadian Rhythms.- High Molecular Weight Protein is Presumably Essential for the Circadian Clock.- Circadian Time-Dependent Effects of Plant Growth Regulators on Morphogenesis in Acetabulavia.- Phase and Period Effects of Physical and Chemical Factors. Do Cells Communicate?.- Singularity in a Unicell: Can Pulses of Protein Synthesis Inhibitors Stop the Biological Clock?.- Circadian Control of Protein Synthesis Rate in Cell-Free Extracts of Gonyaulax polyedra.- Perturbation by Single and Double Pulses as Analytical Tool for Analyzing Oscillatory Mechanisms.- Effects of Light and Temperature Steps on Circadian Rhythms of Neurospora and Gonyaulax.- Genetic and Physiological Analysis of a Circadian Clock Gene in Neurospora crassa.- Cyclic Activity of Enzymes of Asparagine-Pyruvate Pathway and Cellular Synchronization. Significance of L-Asparaginase Oscillatory States.- Control and Significance of the Circadian Growth of the Endocuticle in Cockroaches (Blaberus craniifer, Blattodea).- The Hypothalamic Control of Eating and Circadian Rhythms: Opponent Processes and Their Chemical Modulators.- The Circadian Activity Rhythm of Mammals: A Comparison of Models and Experiments.- Weak Coupling Between the Two Pacemakers of the Bilateral Circadian Mechanism in Crickets.- Effect of Reversed Photoperiod on Daily Rhythms of Synthesis and Accumulation of Neurosecretion in the Brain of the House Cricket.- Circadian Rhythm of Locomotor Activity in Musca Continues After Severance of Optic Tracts.- Interaction Between Two Circadian Clocks in the Rabbit and Their Main Input.- Cell Cycle.- Dynamics of Feedback Systems with Time Lag.- The Coordination of Cell Growth and Division: A Comparison of Models.- Cellular Synergetics: Cell-Density Dependent Regulation of Population Dynamics of Mammalian Cells in Vitro.- Idiotypic Network Among T Cells.- The Transition Probability Model: Successes, Limitations, and Deficiencies.- A Deterministic Cell Cycle Model with Transition Probability-Like Behaviour.- The Onset of Division in a Protocell Model.- A Temperature Compensated Epi genetic Oscillator with an Hourly Period Provides Time-Keeping for the Cell Cycle and Possibly also for Circadian-Controlled Phenomena.- Index of Contributors.