Table 8 Fitting parameters for CF-5 sample.

From: Thixo-viscoelastoplastic rheological characterisation of human mucus using a multimode BMP constitutive equation approach

Parameter

Mode 1

Mode 2

Mode 3

Mode 4

Mild

\(\eta _{p_0}\) (Pa.s)

10.0

2.0

0.25

0.06

\(\eta _\infty\) (Pa.s)

\(1.0x10^{-4}\)

\(1.0x10^{-4}\)

\(1.0x10^{-3}\)

\(1.0x10^{-3}\)

\(\lambda _1 (s)\)

15.0

4.5

0.5

\(1.0x10^{-3}\)

\(\lambda _s*k_0\) (\(\textrm{Pa}^{-1}\)s)

\(1.0x10^{-4}\)

\(1.0x10^{-4}\)

\(1.0x10^{-3}\)

\(8.0x10^{-5}\)

\(\tau _c\) (Pa)

1.0

1.0

1.0

3.5

Severe

\(\eta _{p_0}\) (Pa.s)

40.0

1.4

0.25

0.05

\(\eta _\infty\) (Pa.s)

\(1.0x10^{-4}\)

\(1.0x10^{-4}\)

\(1.0x10^{-3}\)

\(1.0x10^{-3}\)

\(\lambda _1 (s)\)

25.0

1.8

0.25

\(1.0x10^{-3}\)

\(\lambda _s*k_0\) (\(\textrm{Pa}^{-1}\)s)

\(2.0x10^{-6}\)

\(1.0x10^{-5}\)

\(5.0x10^{-5}\)

\(5.0x10^{-6}\)

\(\tau _c\) (Pa)

7.07

3.16

4.47

14.14

Very severe

\(\eta _{p_0}\) (Pa.s)

300.0

3.5

0.4

0.1

\(\eta _\infty\) (Pa.s)

\(1.0x10^{-4}\)

\(1.0x10^{-4}\)

\(1.0x10^{-3}\)

\(1.0x10^{-3}\)

\(\lambda _1 (s)\)

250.0

3.5

0.4

\(1.0x10^{-3}\)

\(\lambda _s*k_0\) (\(\textrm{Pa}^{-1}\)s)

\(1.0x10^{-6}\)

\(8.0x10^{-6}\)

\(2.0x10^{-5}\)

\(2.0x10^{-5}\)

\(\tau _c\) (Pa)

10.00

3.53

7.07

7.07