# Formula: Higuchi-Corrigan critical mixture ratio

Parent: — · class: transport, diffusion and dissolution · names as written: Corrigan condition for component-controlled dissolution; Higuchi critical mixture ratio for two-component dissolution; Higuchi two-component diffusion-controlled dissolution model (critical mixture ratio)

3 instances in 3 papers (of 207 kept papers). Each section heading ends with the paper's category / subcategory. Generated by tools/build_evidence.py from registry/formulas.csv; do not edit.

## 2016 Xie · E2 · Corrigan condition for component-controlled dissolution · Dissolution / B. Supersaturation from ASD dissolution

[2016-xie-celecoxib-high-drug-loading-asd-paa-cellulose-derivatives](../../../cards/2016-xie-celecoxib-high-drug-loading-asd-paa-cellulose-derivatives/paper.html) · Dissolution / B. Supersaturation from ASD dissolution

- expression: N_A/N_B > (D_A C_SA)/(D_B C_SB)
- symbols and units: D diffusion coefficient; C_S solubility of each component
- assumptions stated: basis of drug-controlled release at moderate to high loading and polymer-controlled release at low loading (refs 15, 17)
- used for: C4
- status: printed, checked against page image · recomputed: not applicable (no inputs printed)
- locator: p.4

## 2019 Indulkar · E4 · Higuchi two-component diffusion-controlled dissolution model (critical mixture ratio) · Dissolution / A. Release mechanism and LoC

[2019-indulkar-ritonavir-copovidone-asd-congruent-release-loc](../../../cards/2019-indulkar-ritonavir-copovidone-asd-congruent-release-loc/paper.html) · Dissolution / A. Release mechanism and LoC

- expression: 
- symbols and units: critical mixture ratio set by the relative solubilities and diffusivities of the two components
- assumptions stated: physical mixture, non-interacting components, non-disintegrating surface, diffusion control
- used for: C23, C24
- status: named only · recomputed: not applicable (named only)
- locator: p.12-13

## 2020 Saboo · E4 · Higuchi critical mixture ratio for two-component dissolution · Dissolution / A. Release mechanism and LoC

[2020-saboo-asd-drug-loading-polymer-hydrophobicity-release](../../../cards/2020-saboo-asd-drug-loading-polymer-hydrophobicity-release/paper.html) · Dissolution / A. Release mechanism and LoC

- expression: N_drug/N_polymer = (D_drug · C_s(drug))/(D_polymer · C_s(polymer))
- symbols and units: N weight fraction; D diffusion coefficient; C_s saturation solubility
- assumptions stated: diffusion-controlled dissolution of a two-component system (Simonelli 1969); C_s(drug) = amorphous solubility 8 µg/mL, C_s(polymer) = 46 mg/mL (cited), D_drug/D_polymer = 10 (SI Section S4)
- used for: R27
- status: printed, checked against page image · recomputed: mismatch: printed 1.7 x 10⁻⁶, recomputed 10 x 0.008 mg/mL / 46 mg/mL = 1.7 x 10⁻³ (8 µg/mL converted to 0.008 mg/mL)
- locator: p.11; SI p.11
