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Introduction to Mathematical Biology

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ISBN-10: 0486425320

ISBN-13: 9780486425320

Edition: 2002 (Unabridged)

Authors: S. I. Rubinow

List price: $24.95
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Description:

To cultivate in graduate biology students an awareness of and familiarity with applications of mathematical techniques and methods related to biology, this text explores five different areas of mathematical biology in a unified fashion.
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Book details

List price: $24.95
Copyright year: 2002
Publisher: Dover Publications, Incorporated
Publication date: 1/13/2003
Binding: Paperback
Pages: 416
Size: 5.25" wide x 8.50" long x 1.00" tall
Weight: 0.946
Language: English

Cell Growth
Exponential Growth or Decay
Determination of Growth or Decay Rates
The Method of Least Squares
Nutrient Uptake by a Cell
Inhomogeneous Differential Equations
Growth of a Microbial Colony
Growth in a Chemostat
Interacting Populations: Predator-Prey System
Mutation and Reversion in Bacterial Growth
Problems
Enzyme Kinetics
The Michaelis-Menten Theory
Early Time Behavior of Enzymatic Reactions
Enzyme-Substrate-Inhibitor System
Cooperative Properties of Enzymes
The Cooperative Dimer
Allosteric Enzymes
Other Allosteric Theories
Hemoglobin
Graph Theory and Steady-State Enzyme Kinetics
Enzyme-Substrate-Modifier System
Enzyme-Substrate-Activator System
Aspartate Transcarbamylase
Problems
Tracers in Physiological Systems
Compartment Systems
The One-Compartment System
Indicator-Dilution Theory
Continuous Infusion
The Two-Compartment System
Leaky Compartments and Closed Systems
The Method of Exponential Peeling
Creatinine Clearance: A Two-Compartment System
The "Soaking Out" Experiment
The Three-Compartment Catenary System
The n-Compartment System
Problems
Biological Fluid Dynamics
The Equations of Motion of a Viscous Fluid
Poiseuille's Law
Properties of Blood
The Steady Flow of Blood Through a Vessel
The Pulse Wave
The Swimming of Microorganisms
Problems
Diffusion in Biology
Fick's Laws of Diffusion
The Fick Principle
The Unit One-Dimensional Source Solution
The Diffusion Constant
Olfactory Communication in Animals
Membrane Transport
Diffusion Through a Slab
Convective Transport: Ionic Flow in an Axon
The Gaussian Function
Ultracentrifugation
The Sedimentation Velocity Method
An Approximate Solution to the Lamm Equation
Sedimentation Equilibrium
Transcapillary Exchange
Problems