Submitted:
06 August 2023
Posted:
08 August 2023
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Abstract

Keywords:
1. Introduction
2. Materials and Methods
2.1. Saliva
2.2. Mucus
2.3. Microplastics
2.4. Methodology
- Initialize the coefficient values.
- Calculate the fitted curve for the current set of coefficients. The fitted response value ŷ is given by ŷ =f(X,b) and is calculated using the Jacobian of f(X,β). The Jacobian of f(X,β) is defined as a matrix of partial derivatives taken with respect to the coefficients in β.
- Adjust the coefficients using a Trust-region algorithm [17].
| Model | Formula | Parameters |
|---|---|---|
| Prandtl | A [Pa], C [s-1] | |
| Powell - Eyring | A [s-1], B [Pa], C [Pas] | |
| Williamson | A [Pa], B [s-1], m∞ [Pas] | |
| Sisko | A [Pas], B [Pasn], n [-] |
3. Results and discussion
3.1. Rheological properties of saliva
3.2. Rheological properties of mucus
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Particles | Number of particles in 1g |
|---|---|
| PE 0.74-4.99 mm | 7.762*108 |
| PE 38-45 mm | 2.672*107 |
| PE 96-106 mm | 2.029*106 |
| PS 9.5-11.5 mm | 4.182*108 |
| PE 38-48 mm | 2.378*107 |
| case | k [mPasn] | n [-] | R2 |
|---|---|---|---|
| Saliva, 36.6 °C | 2.052 | 0.9598 | 0.8647 |
| Saliva, 40 °C | 1.813 | 0.9797 | 0.9911 |
| PS, 9.5-11.5 mm, 36.6 °C | 3.904 | 0.8169 | 0.9918 |
| PS, 9.5-11.5 mm, 40 °C |
3.619 | 0.8041 | 0.9889 |
| PS, 38-48 mm, 36.6 °C |
2.645 | 0.8782 | 0.8816 |
| PS, 38-48 mm, 40 °C |
2.759 | 0.8482 | 0.8891 |
| PE, 0.74-4.99 mm, 36.6 °C | 2.514 | 0.8924 | 0.9681 |
| PE, 0.74-4.99 mm, 40 °C | 3.323 | 0.8198 | 0.9809 |
| PE, 38-45 mm, 36.6 °C |
4.038 | 0.7874 | 0.9876 |
| PE, 38-45 mm, 40 °C |
3.980 | 0.7685 | 0.9863 |
| PE, 96-106 mm, 36.6 °C | 2.407 | 0.8954 | 0.9835 |
| PE, 96-106 mm, 40°C | 2.911 | 0.8551 | 0.8708 |
| case | k [mPasn] | n [-] | R2 |
|---|---|---|---|
| Mucus, 36.6 °C | 1531 | 0.6987 | 0.9983 |
| Mucus, 40 °C | 1301 | 0.7043 | 0.9984 |
| PS, 9.5-11.5 mm, 36.6 °C | 1367 | 0.7122 | 0.9984 |
| PS, 9.5-11.5 mm, 40 °C | 1097 | 0.7244 | 0.9985 |
| PS, 38-48 mm, 36.6 °C | 1032 | 0.7372 | 0.9989 |
| PS, 38-48 mm, 40 °C | 944 | 0.7294 | 0.9987 |
| PE, 0.74-4.99 mm, 36.6 °C | 992 | 0.7374 | 0.9985 |
| PE, 0.74-4.99 mm, 40 °C | 831 | 0.7470 | 0.9988 |
| PE, 38-45 mm, 36.6 °C | 1305 | 0.7874 | 0.9876 |
| PE, 38-45 mm, 40 °C | 1173 | 0.7102 | 0.9988 |
| PE, 96-106 mm, 36.6 °C | 944 | 0.7484 | 0.9988 |
| PE, 96-106 mm, 40°C | 1113 | 0.7205 | 0.9986 |
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