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Mathematical Physiology provides an introduction into physiology using the tools and perspectives of mathematical modeling and analysis. It describes ways in which mathematical theory may be used to give insights into physiological questions and how physiological questions can in turn lead to new mathematical problems. The book is divided into two parts, the first dealing with the fundamental principles of cell physiology, and the second with the physiology of systems. In the first part, after an introduction to basic biochemistry and enzyme reactions, the authors discuss volume control, the membrane potential, ionic flow through channels, excitability, calcium dynamics, and electrical bursting. This first part concludes with spatial aspects such as a synaptic transmission, gap junctions, the linear cable equation, nonlinear wave propagation in neurons, and calcium waves. In the second part, the human body is studied piece by piece, beginning with an introduction to electrocardiology, followed by the physiology of the circulatory system, blood, muscle, hormones, and kidneys. Finally, the authors examine the digestive system and the visual system, ending with the inner ear. This book will be of interest to researchers, to graduate students and advanced undergraduate students in applied mathematics who wish to learn how to build and analyze mathematical models and to become familiar with new areas of application, as well as to physiologists interested in learning about theoretical approaches to their work. The inclusion of numerous exercises and models could be used to add further interest and challenge to traditional courses taught by applied mathematicians, bioengineers, and physiologists.

Histology. Cytology --- Human physiology --- Physiology --- Mathematics. --- Physiology -- Mathematics. --- Natural Science Disciplines --- Biological Science Disciplines --- Disciplines and Occupations --- Mathematics --- Human Anatomy & Physiology --- Health & Biological Sciences --- Human physiology. --- Biomathematics. --- Mathematical and Computational Biology. --- Human Physiology. --- Human biology --- Medical sciences --- Human body --- Biology --- Biologie moleculaire --- Biomathematique --- Physiologie

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Biomathematics. Biometry. Biostatistics --- Epidemiology --- Mathematical statistics --- Infectious diseases. Communicable diseases --- mathematical models --- Mathematics. --- Communicable Diseases. --- Biometry. --- Epidemiology. --- 519.218 --- Disease --- Anthropology, Physical --- Statistics as Topic --- Infectious Diseases --- Communicable Disease --- Disease, Communicable --- Disease, Infectious --- Diseases, Communicable --- Diseases, Infectious --- Infectious Disease --- Disease Outbreaks --- Disease Transmission, Infectious --- Mathematic --- Special stochastic processes --- epidemiology --- Mathematical models. --- 519.218 Special stochastic processes --- Biometry --- Communicable Diseases --- Mathematics --- Mathematical models --- Social Epidemiology --- Epidemiologies, Social --- Epidemiology, Social --- Social Epidemiologies --- Epidemiology - mathematical models --- Biomathematique --- Maladies infectieuses --- Infectious diseases --- Mathematical methods

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Biomathematics. Biometry. Biostatistics --- Bionics. --- Models, Biological. --- 57.087.1 --- Biochemistry --- -Biological transport --- Compartmental analysis (Biology) --- Radioactive tracers in biology --- Biology --- Biomathematics --- Tracers (Biology) --- Membrane transport --- Passive transport, Biological --- Physiological transport --- Transport, Biological --- Diffusion --- Osmosis --- Biological chemistry --- Chemical composition of organisms --- Organisms --- Physiological chemistry --- Chemistry --- Medical sciences --- Biological Model --- Biological Models --- Model, Biological --- Models, Biologic --- Biologic Model --- Biologic Models --- Model, Biologic --- Bionic --- Cybernetics --- Models, Biological --- Biometry. Statistical study and treatment of biological data --- Mathematical models --- Composition --- Biological transport. --- Radioactive tracers in biology. --- Basic Sciences. Chemistry --- Mathematical models. --- Compartmental analysis (Biology). --- Biochemistry. --- 57.087.1 Biometry. Statistical study and treatment of biological data --- Biological transport --- Bionics --- Biochemistry - Mathematical models --- Biomathematique --- Modelisation mathematique

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Biomathematics. Biometry. Biostatistics --- General ecology and biosociology --- Ecology --- System analysis --- Ecologie --- Analyse de systèmes --- Mathematical models --- Modèles mathématiques --- System analysis. --- Environmental Sciences and Forestry. Ecology --- Mathematical models. --- Ecology (General) --- 574 --- #ABIB:atte --- #WPLT:kand --- 512.64 --- 681.3*I63 --- General ecology. Biocoenology. Hydrobiology. Biogeography --- Linear and multilinear algebra. Matrix theory --- Applications (Simulation and modeling) --- Ecology (General). --- 681.3*I63 Applications (Simulation and modeling) --- 512.64 Linear and multilinear algebra. Matrix theory --- 574 General ecology. Biocoenology. Hydrobiology. Biogeography --- System Analysis. --- Analyse de systèmes --- Modèles mathématiques --- Ecology - Mathematical models. --- Ecologie mathematique --- Biomathematique --- Modelisation mathematique