Submitted:
08 April 2026
Posted:
09 April 2026
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Results and Discussion
(n = 100, R2 = 0.706, R2adj. = 0.687, Q2 = 0.667, F = 37.15, p < 0.001, RMSEpred = 0.59)
3. Materials and Methods
3.1. Reference Compounds
3.2. Calculated Molecular Descriptors and Membrane Permeability Data
3.3. Multiple Linear Regression (MLR) Models
3.4. Artificial Neural Network (ANN) Models
3.5. Support Vector Regression (SVR) Model
3.6. Applicability Domain
3.7. Analysis of Atomic Contributions Influencing pIC50
4. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Conflicts of Interest
References
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| Statistics | Training set | Validation set |
| MSE | 0.291 | 0.498 |
| R² | 0.710 | 0.661 |
| MAE | 0.432 | 0.495 |
| nRot | Flex | Fsp3 | logD | caco2 | PPB | MLR | ANN1 | SVR | Mean(1) | Mean(2) | |
| BMDM | 6 | 0.429 | 0.300 | 4.08 | -4.70 | 96.29 | 4.95 | 4.52 | 4.83 | 4.77 | 4.82 |
| BP-3 | 3 | 0.231 | 0.071 | 3.42 | -4.86 | 97.81 | 4.19 | 4.15 | 4.09 | 4.14 | 4.18 |
| DHHB | 12 | 0.857 | 0.417 | 4.26 | -4.75 | 98.13 | 5.57 | 4.97 | 5.37 | 5.30 | 5.27 |
| PABA | 1 | 0.143 | 0.000 | 1.00 | -5.24 | 43.55 | 4.48 | 5.10 | 4.66 | 4.75 | 4.87 |
| EHDP | 9 | 1.286 | 0.588 | 3.89 | -4.90 | 98.46 | 1.30 | 3.27 | 1.42 | 2.00 | 2.77 |
| Et-PABA | 3 | 0.429 | 0.222 | 1.97 | -5.12 | 74.52 | 2.79 | 3.64 | 2.90 | 3.11 | 3.45 |
| PBSA | 2 | 0.111 | 0.000 | 1.62 | -5.59 | 98.51 | 2.90 | 3.64 | 2.80 | 3.11 | 3.54 |
| MBC | 1 | 0.063 | 0.500 | 3.85 | -4.57 | 95.07 | 3.76 | 3.57 | 3.78 | 3.70 | 3.64 |
| EHMC | 10 | 1.250 | 0.500 | 3.86 | -4.90 | 98.60 | 2.07 | 3.34 | 2.12 | 2.51 | 3.05 |
| IMC | 7 | 0.875 | 0.400 | 3.59 | -4.80 | 96.20 | 2.47 | 3.39 | 2.50 | 2.79 | 3.20 |
| OCR | 10 | 0.667 | 0.333 | 4.52 | -4.94 | 99.28 | 6.13 | 5.78 | 5.91 | 5.94 | 5.96 |
| ET | 30 | 1.111 | 0.500 | 5.09 | -4.99 | 100.70 | 13.82 | 14.82 | 12.94 | 13.86 | 10.70 |
| OS | 8 | 1.143 | 0.533 | 3.53 | -4.89 | 98.07 | 1.24 | 3.27 | 1.34 | 1.95 | 2.75 |
| HMS | 3 | 0.231 | 0.562 | 3.58 | -4.87 | 98.30 | 3.50 | 3.51 | 3.49 | 3.50 | 3.57 |
| DOBT | 25 | 0.926 | 0.455 | 4.72 | -5.06 | 99.40 | 12.14 | 13.28 | 11.40 | 12.27 | 9.90 |
| BZ-4 | 4 | 0.267 | 0.071 | 1.87 | -5.49 | 98.90 | 3.12 | 3.70 | 3.00 | 3.27 | 3.65 |
| nRot | Flex | Fsp3 | log D | caco2 | PPB | MLR | ANN1 | SVR | |
| nRot | 1.000 | 0.657 | 0.451 | 0.691 | 0.088 | 0.351 | 0.841 | 0.904 | 0.833 |
| Flex | 0.657 | 1.000 | 0.667 | 0.594 | 0.277 | 0.360 | 0.165 | 0.303 | 0.155 |
| Fsp3 | 0.451 | 0.667 | 1.000 | 0.761 | 0.669 | 0.474 | 0.124 | 0.184 | 0.118 |
| logD | 0.691 | 0.594 | 0.761 | 1.000 | 0.686 | 0.655 | 0.512 | 0.494 | 0.503 |
| caco2 | 0.088 | 0.277 | 0.669 | 0.686 | 1.000 | 0.245 | 0.001 | -0.060 | 0.007 |
| PPB | 0.351 | 0.360 | 0.474 | 0.655 | 0.245 | 1.000 | 0.117 | 0.114 | 0.092 |
| MLR | 0.841 | 0.165 | 0.124 | 0.512 | 0.001 | 0.117 | 1.000 | 0.974 | 1.000 |
| ANN1 | 0.904 | 0.303 | 0.184 | 0.494 | -0.060 | 0.114 | 0.974 | 1.000 | 0.972 |
| SVR | 0.833 | 0.155 | 0.118 | 0.503 | 0.007 | 0.092 | 1.000 | 0.972 | 1.000 |
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