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Table 2 Orthogonal experimental design results and factor significance

From: Engineered supercooling systems for enhanced long-term preservation of large-volume red blood cells in commercial blood bags

Test

No

Placement angle

Baseplate materials

Cooling rate

Storage volume

Storage temperature

Sealing oil volume

Freezing frequency (Ff)

Transformed Ff

1

tilt-II

glass-II

rapid-I

150 ml-II

-10℃-II

20 ml-III

80%

1.11

2

flat-I

copper-III

slow-III

150 ml-II

-10℃-II

14 ml-II

70%

0.99

3

vertical-III

styrofoam-I

rapid-I

200 ml-III

-10℃-II

20 ml-III

70%

0.99

4

vertical-III

styrofoam-I

slow-III

100 ml-I

-10℃-II

14 ml-II

30%

0.58

5

tilt-II

styrofoam-I

middle-II

200 ml-III

-8℃-III

14 ml-II

50%

0.79

6

flat-I

glass-II

rapid-I

200 ml-III

-8℃-III

14 ml-II

90%

1.25

7

flat-I

styrofoam-I

middle-II

150 ml-II

-12℃-I

20 ml-III

80%

1.11

8

tilt-II

styrofoam-I

slow-III

150 ml-II

-8℃-III

8 ml-I

30%

0.58

9

flat-I

glass-II

slow-III

100 ml-I

-8℃-III

20 ml-III

40%

0.68

10

vertical-III

copper-III

middle-II

100 ml-I

-8℃-III

20 ml-III

20%

0.46

11

tilt-II

copper-III

rapid-I

100 ml-I

-12℃-I

14 ml-II

70%

0.99

12

tilt-II

glass-II

middle-II

100 ml-I

-10℃-II

8 ml-I

50%

0.79

13

vertical-III

glass-II

slow-III

200 ml-III

-12℃-I

8 ml-I

80%

1.11

14

vertical-III

copper-III

rapid-I

150 ml-II

-8℃-III

8 ml-I

30%

0.58

15

flat-I

styrofoam-I

rapid-I

100 ml-I

-12℃-I

8 ml-I

70%

0.99

16

vertical-III

glass-II

middle-II

150 ml-II

-12℃-I

14 ml-II

60%

0.89

17

flat-I

copper-III

middle-II

200 ml-III

-10℃-II

8 ml-I

80%

1.11

18

tilt-II

copper-III

slow-III

200 ml-III

-12℃-I

20 ml-III

70%

0.99

I

6.13

5.04

5.91

4.49

6.08

5.16

  

II

5.25

5.83

5.15

5.26

5.57

5.49

  

III

4.61

5.12

4.93

6.24

4.34

5.34

  

Sk

0.1941

0.0630

0.0881

0.2564

0.2667

0.0091

  

Vk

0.0971

0.0315

0.0441

0.1282

0.1333

0.0046

  
  1. I, II, and III are the summations of the transformed freezing frequencies from the tests that involve levels I, II, and III, respectively. The smallest values among I, II, and III indicate the level with the lowest freezing frequency for the sample. Sk is the sum of the squares, which corresponds to the variation in the variety mean. Vk is the mean square and is defined as Vk = Sk / fk, where fk is the number of degrees of freedom. Vk represents the significance of each factor's main effect, and a higher Vk value signifies a greater significance for the freezing frequency. By our analysis, the best combination is slow cooling, styrofoam baseplate, 8 ml of sealing oil, -8℃, vertical orientation and 100 ml storage volume
  2. N = 10 (Each condition was tested once with 10 replicate samples)
  3. Ff: Freezing frequency
  4. \(\mathrm{Transformed}\;{\mathrm F}_{\mathrm f}=\;\arcsin(\sqrt{freezing\ frequency})\)
  5. \({\mathrm S}_{\mathrm k}=(\mathrm I^2\;+\;\mathrm{II}^2\;+\;\mathrm{III}^2)\;/\;6\;-\;(\mathrm I+\mathrm{II}+\mathrm{III})^2\;/\;18;\;{\mathrm V}_{\mathrm k}=\;{\mathrm S}_{\mathrm k}\;/\;2\)Â