An introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications. All areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language. The chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience. The book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.

Popular science at its most exciting: the breaking new world of chronobiology - understanding the rhythm of life in humans and all plants and animals. The entire natural world is full of rhythms. The early bird catches the worm -and migrates to an internal calendar. Dormice hibernate away the winter. Plants open and close their flowers at the same hour each day. Bees search out nectar-rich flowers day after day. There are cicadas that can breed for only two weeks every 17 years. And in humans: why are people who work anti-social shifts more illness prone and die younger? What is jet-lag and can anything help? Why do teenagers refuse to get up in the morning, and are the rest of us really 'larks' or 'owls'? Why are most people born (and die) between 3am-5am? And should patients be given medicines (and operations) at set times of day, because the body reacts so differently in the morning, evening and at night? The answers lie in our biological clocks the mechanisms which give order to all living things. They impose a structure that enables us to change our behaviour in relation to the time of day, month or year. They are reset at sunrise and sunset each day to link astronomical time with an organism's internal time.

This book addresses multiple aspects of biological clocks in prokaryotes. The first part of the book deals with the circadian clock system in cyanobacteria, i.e. the pioneer of bacterial clocks. Starting with the history and background of cyanobacteria and circadian rhythms in microorganisms, the topics range from the molecular basis, structure and evolution of the circadian clock to modelling approaches, Kai systems in cyanobacteria and biotechnological applications. In the second part, emergent timekeeping properties of bacteria in microbiomes and bacteria other than cyanobacteria are discussed. Since the discovery of circadian rhythms in cyanobacteria in the late 1980s, the field has exploded with new information. The cyanobacterial model system for studying circadian rhythms (Synechococcus elongatus), has allowed a detailed genetic dissection of the bacterial clock due to state-of-the-art methods in molecular, structural, and evolutionary biology. Cutting-edge research spanning from cyanobacteria and circadian phenomena in other kinds of bacteria, to microbiomes has now given the field another major boost. This book is aimed at junior and senior researchers alike. Students or researchers new to the field of biological clocks in prokaryotes will get a comprehensive overview, while more experienced researchers will get an update on the latest developments.

This book is a concise, comprehensive and up-to-date account of fundamental concepts and potential applications of biological timekeeping mechanisms in animals and humans. It also discusses significant aspects of the organization and importance of timekeeping mechanisms in both groups. Divided into seven sections, it addresses important aspects including fundamental concepts; animal and human clocks; clock interactions; clocks and metabolism and immune functions; pineal, melatonin and timekeeping; and clocks, photoperiodism and seasonal behaviours. The book also focuses on biological clock applications in a 24x7 human society, particularly in connection with life-style associated disorders like obesity and diabetes. It is a valuable resource for advanced undergraduates, researchers and professionals engaged in the study of the science of biological timekeeping.

Two new volumes of Methods in Enzymology continue the legacy of this premier serial with quality chapters authored by leaders in the field. Circadian Rhythms and Biological Clocks Part A and Part B is an exceptional resource for anybody interested in the general area of circadian rhythms. As key elements of timekeeping are conserved in organisms across the phylogenetic tree, and our understanding of circadian biology has benefited tremendously from work done in many species, the volume provides a wide range of assays for different biological systems. Protocols are provided to assess clock function, entrainment of the clock to stimuli such as light and food, and output rhythms of behavior and physiology. This volume also delves into the impact of circadian disruption on human health. Contributions are from leaders in the field who have made major discoveries using the methods presented here. - Continues the legacy of this premier serial with quality chapters authored by leaders in the field - Covers research methods in biomineralization science - Keeping with the interdisciplinary nature of the circadian rhythm field, the volume includes diverse approaches towards the study of rhythms, from assays of biochemical reactions in unicellular organisms to monitoring of behavior in humans.

The Biological Clock describes the rhythmic processes in a great variety of plants and animals. This book is an outgrowth of the 1969 James Arthur Lecture Series on "Time and its Mysteries" held at New York University. This three-chapter work begins with the basic principles of biological rhythms and clocks, along with various diagrams to illustrate some aspects of circadian rhythms in animals. The second chapter discusses the hypothesis of environmental timing of the clock. This chapter explores numerous research studies on phenomenon of biological rhythms, the nature of the rhythmic mechanism, and hormonal regulation. The third chapter examines the cellular-biochemical clock hypothesis and its contribution in the progress of understanding the complexity of biological rhythm. This book is intended primarily for biologists, behaviorists, and researchers.