Skip to main content

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]