Practical Math For Respiratory Care; A Text

Offers students a comprehensive explanation and review of essential respiratory care math skills as they apply to clinical situations. Every chapter has learning objectives, clinical significance boxes, sample problems that appear after each new concept and a group of practical exercises.

Math Concepts

1

(12)

Introduction to Math Concepts

1

(6)

Converting Units

2

(1)

Canceling Units

2

(2)

Rearranging a Formula to Solve for a New Item

4

(2)

Rounding the Answers

6

(1)

Practice Excercises

7

(6)

Gas Laws

13

(21)

Density

13

(4)

Boyle's Law

17

(2)

Charles's Law

19

(1)

Gay-Lussac's Law

20

(2)

Combined Gas Law

22

(2)

Saturated Versus Dry Gases

24

(3)

Practice Exercises

27

(7)

Gas Cylinders

34

(13)

Gaseous Cylinders

34

(2)

Cylinder Duration

36

(2)

Liquid Oxygen

38

(3)

Practice Exercises

41

(6)

Flow Rates

47

(11)

Inspiratory Flow Rates

47

(2)

Application of Oxygen Therapy Devices

49

(4)

For Oxygen Concentrations Less Than 35%

49

(1)

For Oxygen Concentrations 35% or Greater

49

(1)

For Oxygen Concentrations 35% or Greater

50

(1)

For Oxygen Concentrations 35% or Greater

51

(2)

Practice Exercises

53

(5)

Mixing Air and Oxygen

58

(11)

Determining the Ratio of Air and Oxygen

58

(3)

For Oxygen Concentrations Less Than 35%

58

(1)

For Oxygen Concentrations 35% or Greater

59

(2)

Determining the Oxygen Concentration When the Air and O2 Flows Are Known

61

(2)

Application of the Formulas

63

(2)

Practice Exercises

65

(4)

Drug Dosages

69

(11)

Relationships of Metric Equivalents

69

(1)

Solutions Available in Percents

70

(1)

Converting to Desired Dosages

71

(1)

Solutions Available as Dilutions

72

(3)

Practice Exercises

75

(5)

Humidity

80

(14)

Humidity Concepts

80

(3)

Water Content of Aerosols

83

(1)

Water Vapor Pressure

84

(1)

Dalton's Law

85

(1)

Practice Exercises

86

(8)

Prediction of Pao2 with a Change in Concentration

94

(9)

The Formula

94

(1)

Application

95

(1)

Rearranging the Formula

96

(1)

Practice Exercises

97

(6)

Oxygen Content

103

(9)

The Formula

103

(2)

Normal Values

105

(1)

Arterial-Venous Difference

106

(1)

Practice Exercises

107

(5)

Alveolar Air Equation

112

(15)

Alveolar Oxygen Tension

112

(1)

Normal Alveolar Gases

112

(1)

The Respiratory Exchange Ratio

113

(2)

The Alveolar Air Equation

115

(2)

Causes of Hypoxemia

117

(1)

Alveolar Hypoventilation

117

(1)

Shunt and V/Q Mismatch

117

(1)

Response to Oxygen Therapy

117

(2)

Practice Exercises

119

(8)

Lung Volumes and Capacities

127

(10)

Lung Volumes

127

(1)

Lung Capacities

128

(1)

Equations to Determine Lung Volumes and Capacities

128

(3)

Practice Exercises

131

(6)

Mechanical Ventilation

137

(23)

Ideal Body Weight and Tidal Volume

138

(3)

Compressed Gas Volume

141

(2)

Minute Volume

143

(1)

Calculating Inspiratory Flow Rates

144

(1)

Inspiratory Time

145

(1)

I/E Ratio

146

(3)

Application

149

(2)

Practice Exercises

151

(9)

Compliance and Resistance

160

(12)

Dynamic and Static Compliance

160

(4)

Airways Resistance

164

(1)

Practice Exercises

165

(7)

Dead Space

172

(17)

Calculating Dead Space

172

(1)

Rearranging the Formula

173

(1)

Other Components of Dead Space

174

(1)

Alveolar Dead Space

175

(1)

Anatomic Dead Space

175

(1)

Alveolar Volume

176

(3)

Practice Exercises

179

(10)

Cardiac Output

189

(11)

Relationship of Cardiac Output to Stroke Volume and Heart Rate

189

(2)

Athletes

191

(1)

Individuals in Cardiac Failure

192

(1)

The Fick Equation

192

(2)

Modifying the Fick Equation

194

(1)

Practice Exercises

195

(5)

Shunt Determinations and Oxygen Delivery

200

(14)

Shunt Delivery

200

(4)

Oxygen Delivery to the Tissues

204

(2)

Oxygen Utilization

206

(1)

Practice Exercises

207

(7)

Hemodynamics

214

(75)

Available Data in the Critical Care Unit

214

(2)

Derived Data

216

(1)

Calculating Cardiac Index

216

(2)

Calculating Stroke Volume

218

(1)

Calculating Stroke Volume Index

219

(1)

Calculating Systemic Vascular Resistance

219

(1)

Calculating Pulmonary Vascular Resistance

220

(2)

Calculating Stroke work

222

(2)

Practice Exercises

224

(9)

APPENDIX

A Posttest: Practice Examination

233

(14)

B Answers to Posttest

247

(6)

C Answers to Practice Exercises

253

(26)

D Values

279

(4)

E Formulas

283

(6)

Index

289

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Practical Math For Respiratory Care; A Text and Workbook

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