Introduction to Mathematical Biology - Brossura

Rubinow, S. I.

Brossura

ISBN 10: 0486425320 ISBN 13: 9780486425320

Casa editrice: Dover Pubns, 2003

Riassunto

Designed to explore the applications of mathematical techniques and methods related to biology, this text explores five areas: cell growth, enzymatic reactions, physiological tracers, biological fluid dynamics and diffusion. Topics essentially follow a course in elementary differential equations — some linear algebra and graph theory; requires only a knowledge of elementary calculus.

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Contenuti

Chapter 1?Cell Growth 1.1 Exponential Growth or Decay 1.2 Determination of Growth or Decay Rates 1.3 The Method of Least Squares 1.4 Nutrient Uptake by a Cell 1.5 Inhomogeneous Differential Equations 1.6 Growth of a Microbial Colony 1.7 Growth in a Chemostat 1.8 Interacting Populations: Predator-Prey System 1.9 Mutation and Reversion in Bacterial Growth Problems Chapter 2?Enzyme Kinetics 2.1 The Michaelis-Menten Theory 2.2* Early Time Behavior of Enzymatic Reactions 2.3 Enzyme-Substrate-Inhibitor System 2.4 Cooperative Properties of Enzymes 2.5 The Cooperative Dimer 2.6 Allosteric Enzyme 2.7 Other Allosteric Theories 2.8 Hemoglobin 2.9 Graph Theory and Steady-State Enzyme Kinetics 2.10 Enzyme-Substrate-Modifier System 2.11 Enzyme-Substrate-Activator System 2.12 Aspartate Transcarbamylase Problems Chapter 3?Tracers in Physiological Systems 3.1 Compartment Systems 3.2 The One-Compartment System 3.3 Indicator-Dilution Theory 3.4 Continuous Infusion 3.5 The Two-Compartment System 3.6 Leaky Compartments and Closed Systems 3.7 The Method of Exponential Peeling 3.8 Creatinine Clearance: A Two-Compartment System 3.9 "The "Soaking Out" Experiment" 3.10 The Three-Compartment Catenary System 3.11* The n-Compartment System Problems Chapter 4?Biological Fluid Dynamics 4.1 The Equations of Motion of a Viscous Fluid 4.2 Poiseuille's Law 4.3 Properties of Blood 4.4 The Steady Flow of Blood through a Vessel 4.5 The Pulse Wave 4.6 The Swimming of Microorganisms Problems Chapter 5?Diffusion in Biology 5.1 Fick's Laws of Diffusion 5.2 The Fick Principle 5.3 The Unit One-Dimensional Source Solution 5.4 The Diffusion Constant 5.5 Olfactory Communication in Animals 5.6 Membrane Transport 5.7 Diffusion Through a Slab 5.8 Convective Transport: Ionic Flow in an Axon 5.9 The Gaussian Function 5.10 Ultracentrifugation 5.11 The Sedimentation Velocity Method 5.12* An Approximate Solution to the Lamm Equation 5.13 Sedimentation Equilibrium 5.14 Transcapillary Exchange Problems Solutions to Problems References Appendix A: Brief Review "Appendix B: Determinants, Vectors, and Matrices" Author Index Subject Index

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0486425320
• ISBN 13: 9780486425320
• Rilegatura: Copertina flessibile
• Numero di pagine: 400
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia