CDC-42 Interactions with Par Proteins Are Critical for Proper Patterning in Polarization
Abstract
:1. Introduction
2. The Mathematical Model
2.1. Network of Par Protein and Cdc-42 Interactions
2.2. Model Equations for Apar, Ppar and Cdc-42 Network
2.3. Parameter Values
2.4. Initial Conditions
2.5. Minimal Network Analysis
2.6. eFAST Sensitivity Analysis
3. Results
3.1. Critical Network Interactions and Parameters for Maintenance of Par Protein Polarization
3.1.1. Minimal Network for Maintenance of Par Protein Polarization
3.1.2. Critical Parameters for Maintenance of Par Protein Polarization
3.2. Critical Network Interactions and Parameters for Generation of Par Protein Polarization
3.2.1. Minimal Network for Generation of Par Protein Polarization
3.2.2. Critical Parameters for Generation of Par Protein Polarization
4. Discussion
Author Contributions
Funding
Conflicts of Interest
Appendix A
Appendix A.1. Model Reduction
Appendix A.2. Additional Simulations and Representative Parameter Set
Parameter | Dimensional | Non-Dim. | Parameter | Dimensional | Non-Dim. |
Value | Value | Value | Value | ||
L | 142.75 m) | 1.0 | 1.0 | ||
0.28 m | 0.15 m | ||||
0.10 m | 14.0 m | ||||
7.50 m | 10.0 m | ||||
0.015 | 0.03 | 0.100 | 0.20 | ||
0.015 | 0.03 | 0.05 | 0.10 | ||
0.03 | 0.06 | 0.05 | 0.10 | ||
0.20 L | 0.20 | 1.00 | 1.00 | ||
2.60 | 5.20 | 1.25 L | 1.25 | ||
1.00 | 1.00 | 2.60 | 5.20 | ||
1.25 L | 1.25 | 1.00 | 1.00 | ||
2.60 | 5.20 | 1.25 L | 1.25 | ||
1.00 | 1.00 | 2.60 | 5.20 | ||
1.00 L | 1.00 | 1.00 | 1.00 | ||
0.50 L | 1.00 | 1.00 | |||
2.00 | 5.00 | ||||
Parameter range for sensitivity analysis | |||||
Parameter | Dimensional | Non-Dim. | Parameter | Dimensional | Non-Dim. |
Range | Range | Range | Range | ||
[1.5, 5.0] | [3, 10] | [0.0, 4.0] | [0, 8] | ||
[0.0, 5.0] | [0, 10] | [0.0, 5.0] | [0, 10] | ||
[0.0, 5.0] L | [0, 10] |
Appendix A.3. Variance-Based Sensitivity Analysis by Using Extended Fourier Amplitude Sensitivity Test (eFAST) Method
Index | M | |||
---|---|---|---|---|
4 | 2 | 2578 | ||
4 | 2 | 2050 |
Appendix A.4. First Order Index and Total Index for the Dummy Parameter
Maintenance | |||
aPAR | pPAR | CDC-42 | |
0.000869 | 0.002956 | 0.003730 | |
0.021139 | 0.031567 | 0.032265 | |
Generation | |||
aPAR | pPAR | CDC-42 | |
0.001711 | 0.004020 | 0.002282 | |
0.023502 | 0.160468 | 0.055702 |
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Maintenance | Generation | ||||||
---|---|---|---|---|---|---|---|
Parameter/Interaction | MNA | MNA | |||||
CDC-42→aPAR | ✓ | Apc | a | ✓ | apc | apc | |
aPAR→CDC-42 | ✓ | apC | ApC | ✓ | APC | APC | |
aPAR⊣pPAR | ✓ | aPc | Pc | ✓ | apc | apc | |
pPAR⊣aPAR | p | ✓ | ac | ||||
pPAR⊣CDC-42 | pc | apc | ✓ | ac |
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Seirin-Lee, S.; Gaffney, E.A.; Dawes, A.T. CDC-42 Interactions with Par Proteins Are Critical for Proper Patterning in Polarization. Cells 2020, 9, 2036. https://doi.org/10.3390/cells9092036
Seirin-Lee S, Gaffney EA, Dawes AT. CDC-42 Interactions with Par Proteins Are Critical for Proper Patterning in Polarization. Cells. 2020; 9(9):2036. https://doi.org/10.3390/cells9092036
Chicago/Turabian StyleSeirin-Lee, Sungrim, Eamonn A. Gaffney, and Adriana T. Dawes. 2020. "CDC-42 Interactions with Par Proteins Are Critical for Proper Patterning in Polarization" Cells 9, no. 9: 2036. https://doi.org/10.3390/cells9092036