Mathematics and Statistics in Anaesthesia

图书简介

Mathematics and Statistics in Anaesthesia presents simple mathematical ideas, and explains how these can be used to model and understand problems which arise in clinical anaesthesia. The common features of the underlying mathematics are emphasized through a pictorial/graphical approach, in preference to vast amounts of algebra. The book presents statistics in an informal and less intimidating style that most standard statistical texts, incorporating illustrations and cartoons throughout. The book will be valuable to anaesthetists, in guiding them through what can be an intimidating part of their training.

Section 1 Physiological and pharmacological modelling; Introduction; The input-output principle; Steady-states: Alveolar ventillation & PaCO2; Gas laws; Flux & the Fick principle; Fick & cardiac output; dilution methods; Fick & cerebral blood flow; Apnoeic oxygenation; Nitrogen washout and preoxygeneration; Time constants; Step change in ventilation; Air embolism; Pharmacokinetic models; Drug-receptor interaction; Drug antagonism; Oscillating systems; Damped oscillations; Forced oscillation; Modelling arterial pressure waves; Section 2 - Mathematical background; Numbers; Functions; Pattern functions & transformation; Constant function; Linear; Rectangular hyperbolic functions; Polynomial functions; Inverse functions; Exponential & logarithmic functions; Sinusoidal functions; Functions of more than one variable; The derivative & differentiation; Maxima & minima; Integration; Differential equations; Numerical methods for differential equations; Section 3 - Probability & statistics; Probability models and simulation; Waiting times in a Poisson process; Passing the fellowship; the binomial distribution; Measuring SVP; the normal distribution; Modelling with random variables; Sums of random variables; Probability; Conditional probability & Bayes theorem; Summary measures; location and dispersion; The normal distribution; Statistical inference; Sample mean. Estimation & confidence; Sample variance; Significance testing; Samples of unknown mean and variance; Categorial data; Related variables; linear regression; Related variables; correlation; Distribution-free methods; Stochastic IOP. Queues; Bibliography; Index

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Mathematics and Statistics in Anaesthesia 麻醉学

Mathematics and Statistics in Anaesthesia
麻醉学