in silico
Phase 1 : In Silico Validation
- Objectif
- Determine if two-point correlation functions (g(r)) and power spectrum analysis can robustly distinguish between random, clustered, and void-dominated crosslink distributions, and if these descriptors correlate with predicted swelling anisotropy and failure stress in simulated networks.
- Coût estimé
- €500-2000
- Durée estimée
- 4-6 weeks
- Critères de réussite
- Pearson correlation between ξ (clustering amplitude) and SAR (swelling anisotropy ratio) in simulated data · r ≥ 0.7 with p < 0.01 (one-tailed, n=30) · (Compute Pearson r and p-value using SciPy `pearsonr` on simulated data)
- Pearson correlation between D_void (void size) and σ_fail (critical failure stress) in simulated data · r ≤ -0.6 with p < 0.01 (one-tailed, n=30) · (Compute Pearson r and p-value using SciPy `pearsonr` on simulated data)
- Minimum number of crosslink points N_min for stable P(k) estimate (SNR > 3 at k = 2π/200 nm⁻¹) · N_min ≤ 5000 points per 10x10x10 μm volume · (Compute SNR = mean(P(k)) / std(P(k)) over 100 bootstrap resamples for each N)
- On continue si
- Both Pearson correlations meet thresholds (r ≥ 0.7 for SAR, r ≤ -0.6 for σ_fail) AND N_min ≤ 5000 points
- On arrête si
- Either correlation fails (r < 0.5 or p > 0.05) OR N_min > 10000 points (imaging too demanding)
- On réoriente si
- Correlations are moderate (0.5 ≤ r < 0.7) but N_min is acceptable: consider adding higher-order statistics (three-point correlation) in Phase 2
- Risques
- Synthetic point clouds may not capture real hydrogel complexity (e.g., non-Poissonian crosslink correlations, chain entanglements)Probabilité : mediumParade : Validate with real hydrogel data from literature (e.g., DOI:10.1038/s41563-023-01558-5) if available; otherwise, use conservative assumptions (e.g., Thomas cluster process with realistic parameters from TEM images)
- FEM simulations may be too slow for parametric sweeps (e.g., 100+ simulations)Probabilité : mediumParade : Use surrogate modeling (Gaussian process regression, scikit-learn) to approximate SAR and σ_fail from descriptors, reducing FEM calls to 30-50
- Phase-field fracture model may not converge for highly heterogeneous networksProbabilité : lowParade : Use adaptive mesh refinement (FEniCS built-in) and start with simple linear elastic fracture mechanics (LEFM) as fallback