# AUC

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Category: Education

## Presentation Description

Area under the curve

## Presentation Transcript

### How to calculate the area under the curve (AUC):

How to calculate the area under the curve (AUC)

### Slide2:

Time [min] Concentration [ mM ] 2 4 6 8 10 12 20 40 60 80 Jessica’s results in the practical are: First step: plot results in graph Time [min] Glucose [ mM ] 0 4 20 8 40 12 60 6 80 4

### Slide3:

Time [min] Concentration [ mM ] 2 4 6 8 10 12 20 40 60 80 Jessica’s results in the practical are: First step: plot results in graph Next step: calculate the area under the curve Time [min] Glucose [ mM ] 0 4 20 8 40 12 60 6 80 4

### Slide4:

Time [min] Concentration [ mM ] 2 4 6 8 10 12 20 40 60 80 How to calculate the AUC? First: Use rectangles and triangles to fill the area 1 2 3 4 a b g d

### Slide5:

Time [min] Concentration [ mM ] 2 4 6 8 10 12 20 40 60 80 How to calculate the AUC? First: Use rectangles and triangles to fill the area Next: Calculate the area of the rectangles. 1 2 3 4 a b g d 20 min 4 mM 20 min x 4 mM = 80 mM x min

### Slide6:

Time [min] Concentration [ mM ] 2 4 6 8 10 12 20 40 60 80 How to calculate the AUC? First: Use rectangles and triangles to fill the area Next: Calculate the area of the rectangles 20 x 4 + 20 x 8 + 20 x 6 + 20 x 4 = 20 x (4 + 8 + 6 + 4) = 20 x 22 = 440 min x mM. 1 (20 x 4 = 80) 2 (20 x 8 = 160) 3 (20 x 6 = 120) 4 (20 x 4 = 80) a b g d

### Slide7:

Time [min] Concentration [ mM ] 2 4 6 8 10 12 20 40 60 80 How to calculate the AUC? First: Use rectangles and triangles to fill the area Next: Calculate the area of the rectangles 20 x 4 + 20 x 8 + 20 x 6 + 20 x 4 = 20 x (4 + 8 + 6 + 4) = 20 x 22 = 440 min x mM . Now do the same with the triangles: 1 (20 x 4 = 80) 2 (20 x 8 = 160) 3 (20 x 6 = 160) 4 (20 x 4 = 80) a b g d (12-6) = 6 mM 20 min ½ x 6 mM x 20 min = 60 min x mM

### Slide8:

Time [min] Concentration [ mM ] 2 4 6 8 10 12 20 40 60 80 How to calculate the AUC? First: Use rectangles and triangles to fill the area Next: Calculate the area of the rectangles 20 x 4 + 20 x 8 + 20 x 6 + 20 x 4 = 20 x (4 + 8 + 6 + 4) = 20 x 22 = 440 min x mM . Now do the same with the triangles: (8-4) x 20 x ½ + (12-8) x 20 x ½ + (12-6) x 20 x ½ + (6-4) x 20 x ½ = 1/2 x 20 x (4 + 4 + 6 + 2) = 10 x (16) = 160 min x mM 1 (20 x 4 = 80) 2 (20 x 8 = 160) 3 (20 x 6 = 160) 4 (20 x 4 = 80) a b g d

### Slide9:

Time [min] Concentration [ mM ] 2 4 6 8 10 12 20 40 60 80 How to calculate the AUC? First: Use rectangles and triangles to fill the area Next: Calculate the area of the rectangles 20 x 4 + 20 x 8 + 20 x 6 + 20 x 4 = 20 x (4 + 8 + 6 + 4) = 20 x 22 = 440 min x mM . Now do the same with the triangles: (8-4) x 20 x ½ + (12-8) x 20 x ½ + (12-6) x 20 x ½ + (6-4) x 20 x ½ = 1/2 x 20 x (4 + 4 + 6 + 2) = 10 x (16) = 160 min x mM The sum of rectangles and triangles is the AUC: 160 + 440 = 600 min x mM 1 (20 x 4 = 80) 2 (20 x 8 = 160) 3 (20 x 6 = 160) 4 (20 x 4 = 80) a b g d 