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Table 1 Components of functional effects on parameters and extremal values

From: Modeling the behavior of human induced pluripotent stem cells seeded on melt electrospun scaffolds

 

Function

Minimum point

Maximum point

Function range

f 1

\(\frac {1}{1+10O}-0.3Oe^{-0.3O}+1\)

(3.57,0.66)

(0,2)

[0.66,2]

f 2

\(\frac {1}{1+5O}-0.3Oe^{-0.3O}+1\)

(3.77,0.69)

(0,2)

[0.69,2]

f 3

\(\frac {1}{1+2O}-0.5Oe^{-0.3O}+1\)

(3.89,0.51)

(0,2)

[0.51,2]

f 4

(0.4O−1)(0.4O+1)e −0.5O+1.01

(0,0.01)

(5.2,1.26)

[0.01,1.257]

f 5

(0.6O−1)(0.6O+1)e −0.5O+1.01

(0,0.01)

(4.6,1.67)

[0.01,1.67]

f 6

\(\frac {10}{9}\left (1-\frac {1}{1+e^{-0.1(W-25)}}\right)\)

(100,0)

(0,1.03)

[0,1.03]

f 7

\(1+\frac {1}{1+e^{-0.5(W-16)}}\)

(0,1)

(100,2)

[1,2]

f 8

\(\frac {15}{O+5}\)

(100,0.14)

(0,3)

[0.14,3]

f 9

\(\frac {C}{C+1}\)

(1,0.5)

(100,0.99)

[0.5,0.99]

f 10

4C 3 e −0.5−0.8C

(100,0)

(3.75,6.37)

[0,6.37]

f 11

\(\frac {200}{200+C}\)

(10,0.95)

(1,0.99)

[0.95,0.99]

f 12

\(\frac {100}{100+C}\)

(10,0.91)

(1,0.99)

[0.91,0.99]

f 13

\(\frac {1}{1+e^{-10(O-0.25)}}\)

(0,0.076)

(100,1.00)

[0.076,1.00]