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GENERAL EQUATION FOR SPIROMETRY CALCULATION OF VO 2 VO 2(ml O2/min) = (V I (ml O2/min STPD) * F I O 2 ) (V E(ml O2/min STPD) *F E O 2 )

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Exercise Testing and Prescription Lab Metabolic Calculation Lab

Use Appendix D, lecture materials, and the conversions below to help you complete this lab. This lab is for purposes of practicing metabolic calculations related to estimating oxygen consumption, energy expenditure and weight loss, and calculating workloads for a given MET level. It should compliment the Exercise Testing and Prescription lecture. Remember to record and convert all knows first before trying to solve a metabolic problem.

USEFUL CONVERSIONS

Resting Metabolic Rate (RMR) = 1 met = 3.5 ml O2/kg body wt/min = 1 kcal/kg/hr

1 Liter O2 = 5 kcal = 2153 kgm = 15,575 ft-lbs.

1 kgm = 9.807 joules 1 kg = 2.2lbs 1 mph = 26.8 meters/min 1 watt = 6.1 kgm/min

DERIVATIONS OF THE FICK EQUATION

VO2(ml O2/min) = Q(L blood/min) * AVO2 diff

(ml O2/L blood) VO2(ml O2/min) = HR(beats/min) * SV(L blood/beat) * AVO2

diff

(ml O2/L blood)

VO2(ml O2/min) = HR(beats/min) * SV(L blood/beat) * (CaO2(ml O2/L blood) – CvO2(ml O2/L blood))

VO2(ml O2/min) = HR(beats/min) * SV(L blood/beat) * ((1.34(ml O2/g Hb) * [Hb](g Hb/100ml blood) * SaO2(% O2 sat.) * 10) –

(1.34(ml O2/g Hb) * [Hb](g Hb/100 ml blood) *SvO2(% O2 sat.) *10))

note: multiplying by 10 in the calculation of blood O2 content converts ml O2/100 ml blood to ml O2/L blood the unit on

the “10” in the above equation is: (ml O2/liter of blood/ml O2/100 ml blood)

REGRESSION EQUATIONS FOR ESTIMATING VO2 MAX FROM TIME ON TREADMILL

BRUCE PROTOCOL VO2(ml/kg/min) = 14.8 - 1.379(TIME)(min) + .451 (TIME2)(min) - .012 (TIME3)(min) BALKE PROTOCOL VO2(ml/kg/min) = 1.444(TIME)(min) + 14.99

NAUGHTON PROTOCOL VO2(ml/kg/min) = 1.61(TIME)(min) + 3.6

EQUATIONS INVOLVING RELATIVE MEASURES OF O2 CONSUMPTION

EI (mets) = VO2(ml 02/min) /body wt(kg) / 3.5(ml/kg/min/MET)

EI (kcal.min) = EI(mets) * body wt(kg) * .0175(kcal/kg/min/MET)

GENERAL EQUATION FOR SPIROMETRY CALCULATION OF VO2

VO2(ml O2/min) = (VI (ml O2/min STPD) * FIO2) – (VE(ml O2/min STPD) *FEO2)

Q = cardiac output

AVO2diff = difference in volume of oxygen between arterial and venous blood

VO2 = maximum oxygen consumption HR = heart rate

SV = stroke volume EI = exercise intensity

[Hb] = concentration of hemoglobin

CaO2 = content (volume) of oxygen in arterial blood

VI = volume of inspired air VE = volume of expired air

CvO2 = content (volume) of oxygen in venous blood

SaO2 = saturation (% expressed as a decimal) of arterial blood with oxygen

SvO2 = saturation (% expressed as a decimal) of venous blood with oxygen

FEO2 = fractional concentration (% expressed as a decimal) of oxygen in expired air

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Name

Metabolic Calculations Lab– Physiotherapy Spring 13 (worth 25 of 100 points)

You must show all work to get full credit.

1. An individual exercises 25 minutes on the Monarch bike at 2.5 kg and 50 rpm, 20 minutes on the treadmill (jogging) at 5.5 mph and 4 % grade, and 40 minutes on the Elliptical at 8.2 METS. He weighs 180 pounds. Determine his total caloric expenditure for this workout.

2. A pulmonary patient has started training with you in your rehabilitation program and has an exercise prescription to work 45 minutes at 6 METS 5 days per week. The client weighs 205 pounds. Calculate the following:

a. The treadmill grade for a speed of 2.5 mph.

b. The Watts for an arm ergometer.

c. Total caloric expenditure per week.

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4. Calculate the MET level of stepping up and down on an 12 inch step at 24, 4cycle steps per minute.

5. A person who needs to exercise at approximately 8 METs is going on a business trip and will only be able to use the hotel hall steps, which are approximately 7 inches (0.20 meters). What step rate (per minute) should he use?

6. A post bypass patient who weighs 195 lbs is entering your cardiac rehabilitation program and is participating in a study concerning hemodynamic responses of cardiac patients to exercise. During his exercise sessions, he is to undergo invasive hemodynamic monitoring that will facilitate the determination of cardiac output, stroke volume.

a. Calculate the speed at which you would set a horizontal treadmill to elicit a workload of 6.5 METS.

b. Calculate the % grade you would use to elicit the 6.0 MET workload if the belt speed was 2.7 mph.

c. Calculate the resistance that you would set one the Monarch® bike at 60 RPM to elicit a 7.0 MET workload.

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The following questions 7 -13 are based on the case study below.

CLIENT: Male Age – 47 Height – 72 in. Weight – 215 lbs %Fat – 25

MEDICAL HISTORY: Total Cholesterol 223 High Blood Pressure

Triglycerides 101

LDL 148

HDL 34

Glucose 126 MEDICATIONS: Capoten, Pepsid, Metaprolol

GXT: (see attached ECG) Maximum Time on Bruce Protocol: 10:00 PREVIOUS ACTIVITY LEVEL:

Seldom does any type of cardiovascular exercise for a significant period of time Plays golf (walks) 4 times per week (18 holes)

7. What is the client’s Maximum Oxygen Consumption?

8. Calculate the grade for a treadmill workout at 65% VO2max and 4.5 mph (walking).

9. Calculate the resistance for a cycle workout at 75% VO2max and 60 rpm.

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11. Calculate the caloric expenditure per week if the this client exercises for 50 minutes on the bike 2 times per week (#10) and walks on the treadmill for 40 minutes at the above intensity (#8) 3 times per week.

12. How many weeks would it take him to loose 8 lbs if his resting metabolic rate is 1,350 kcals/day and he is eating about 1,250 kcals/day. Use only his exercise program from question number 11 to help estimate exercise energy expenditure.

14. Calculate the equivalent workload (necessary) on a treadmill for a woman weighing 75 kg and is  cycling at 240 Watts. She plans on jogging about 6.5 mph on the treadmill. 

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