in silico
Phase 1 : In Silico Validation: Kinetic and Diffusion Modeling
- Objectif
- Determine if the proposed reaction kinetics (k₂_obs ≥ 10² M⁻¹s⁻¹) can outcompete diffusive dilution in a simulated tissue environment, and identify critical concentration thresholds for gelation.
- Coût estimé
- €500-2000
- Durée estimée
- 4-6 weeks
- Critères de réussite
- Gelation time (t_gel) at 2% w/v, k₂_obs = 10³ M⁻¹s⁻¹ · t_gel ≤ 60 s · (KMC simulation: time when percolation threshold (νₑ_critical) is reached, where νₑ_critical = 1/(N_avg * M_c) with N_avg = average number of crosslinks per chain, M_c = critical molecular weight between crosslinks (from Flory-Stockmayer).)
- Crosslink density CV at 120 s post-injection in FEM model · CV ≤ 20% within 500 µm radius · (COMSOL/FEniCS: extract crosslink density values at all mesh nodes within 500 µm radius, compute CV = (std/mean)*100%.)
- Predicted G′ at 2% w/v, k₂_obs = 10³ M⁻¹s⁻¹ · G′ ≥ 1 kPa · (Using Flory-Stockmayer: G′ = νₑRT, where νₑ from KMC simulation at t = 120 s.)
- On continue si
- All three success criteria met (t_gel ≤ 60 s, CV ≤ 20%, G′ ≥ 1 kPa) in the baseline scenario (2% w/v, k₂_obs = 10³ M⁻¹s⁻¹, D = 10⁻⁷ cm²/s).
- On arrête si
- Any criterion fails by >50% (e.g., t_gel > 120 s, CV > 40%, G′ < 500 Pa).
- On réoriente si
- If t_gel is >60 s but <120 s, or CV is 20-30%, proceed to Phase 2 but with modified concentrations (e.g., increase to 3% w/v) or use a higher reactivity TCO derivative (e.g., dTCO).
- Risques
- Model simplifications (e.g., homogeneous medium, no tissue compression) may overestimate gelation efficiency.Probabilité : mediumParade : Include a worst-case scenario in sensitivity analysis with D = 10⁻⁶ cm²/s (faster diffusion) and reduced k₂_obs = 10² M⁻¹s⁻¹ (glutathione inhibition). If still successful, proceed.
- Lack of experimental validation for D and k₂_obs in tissue-like conditions.Probabilité : lowParade : Use conservative estimates from literature: D for HA in agarose (DOI:10.1021/acsami.9b04979) and k₂_obs in PBS (DOI:10.26434/chemrxiv.11383659).