Mathematics and Statistics in Anaesthesia by Steven CruickshankMathematics and Statistics in Anaesthesia by Steven Cruickshank

Mathematics and Statistics in Anaesthesia

bySteven CruickshankIllustratorDouglas Whitby

Paperback | August 1, 1998

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Anaesthetic trainees often have enormous trouble understanding the quantitative aspects of the basic sciences underlying clinical anaesthetic practice. The subjects of pharmokinetics and statistics are often unpopular with trainees, and studied with little enthusiasm. In spite of theirreluctance, this is an area that they are required to study and understand as a core part of their training for postgraduate exams. Mathematics and statistics for anaesthetists presents simple mathematical ideas, and explains how these can be used to model and understand problems which arise inclinical anaesthesia. The common features of the underlying mathematics are emphasised 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, incorporatingillustrations and cartoons throughout. The book will be valuable to anaesthetists, in guiding them through what can be an intimidating part of their training.
Dr Steven Cruickshank, Department of Anaesthesia and Intensive Therapy, Newcastle General Hospital, Westgate Road, Newcastle Upon Tyne NE4 6BE. email:
Title:Mathematics and Statistics in AnaesthesiaFormat:PaperbackDimensions:268 pages, 9.69 × 7.44 × 0.59 inPublished:August 1, 1998Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0192623125

ISBN - 13:9780192623126


Table of Contents

Section 1 Physiological and pharmacological modellingIntroductionThe input-output principleSteady-states: Alveolar ventillation and PaCO2Gas lawsFlux and the Fick principleFick and cardiac output; dilution methodsFick and cerebral blood flowApnoeic oxygenationNitrogen washout and preoxygenerationTime constantsStep change in ventilationAir embolismPharmacokinetic modelsDrug-receptor interactionDrug antagonismOscillating systemsDamped oscillationsForced oscillationModelling arterial pressure wavesSection 2 - Mathematical backgroundNumbersFunctionsPattern functions and transformationConstant functionLinearRectangular hyperbolic functionsPolynomial functionsInverse functionsExponential and logarithmic functionsSinusoidal functionsFunctions of more than one variableThe derivative and differentiationMaxima and minimaIntegrationDifferential equationsNumerical methods for differential equationsSection 3 - Probability and statisticsProbability models and simulationWaiting times in a Poisson processPassing the fellowship; the binomial distributionMeasuring SVP; the normal distributionModelling with random variablesSums of random variablesProbabilityConditional probability and Bayes theoremSummary measures; location and dispersionThe normal distributionStatistical inferenceSample mean. Estimation and confidenceSample varianceSignificance testingSamples of unknown mean and varianceCategorial dataRelated variables; linear regressionRelated variables; correlationDistribution-free methodsStochastic IOP. QueuesBibliographyIndex

Editorial Reviews

" ... a gem. ... cover a broad range of topics which are of interest not only to anesthesiologists, but also to intensivists and researchers in general.... profusely illustrated with charts, diagrams and small cartoons to lighten the subject matter.... As both student and teacher in anesthesiaI have had to work very hard to understand the concepts which are explained with great simplicity and clarity in this book. ... it has wide application limited only by the reader's imagination and it will never be out of date. Anyone who is interested in the scientific basis of medicine will befortunate to have this book as a reference when the need arises." Canadian Journal of Anaesthesia (July 1999)