# Formula: congruent release relation

Parent: — · class: transport, diffusion and dissolution · names as written: Corrigan coupled dissolution of a two-component dispersion; carrier-controlled dissolution rate (Higuchi–Corrigan); congruent (polymer-controlled) release rate relation; congruent release relation; polymer-controlled drug dissolution rate

5 instances in 5 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.

## 2011 Alonzo · E4 · carrier-controlled dissolution rate (Higuchi–Corrigan) · Dissolution / B. Supersaturation from ASD dissolution

[2011-alonzo-asd-dissolution-precipitation-nanoparticles](../../../cards/2011-alonzo-asd-dissolution-precipitation-nanoparticles/paper.html) · Dissolution / B. Supersaturation from ASD dissolution

- expression: G_D = G_C × A_D / A_C
- symbols and units: G dissolution rate; A component concentration; subscripts D drug and C carrier
- assumptions stated: high polymer loading, no drug-rich layer (C37)
- used for: R1, R5, R16
- status: printed, checked against page image · recomputed: inputs not printed (no dissolution rates computed)
- locator: p.3328

## 2016 Xie · E1 · Corrigan coupled dissolution of a two-component dispersion · 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: G_B = (N_B/N_A) G_A
- symbols and units: G_A, G_B dissolution rates of components A and B; N proportion of each component
- assumptions stated: holds when E2 is met (Corrigan, ref 8)
- used for: C4
- status: printed, checked against page image · recomputed: not applicable (no inputs or outputs printed)
- locator: p.4

## 2019 Indulkar · E3 · polymer-controlled drug dissolution rate · 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: (dC/dt)_drug = (dC/dt)_polymer · m_drug / m_polymer
- symbols and units: (dC/dt)_drug and (dC/dt)_polymer dissolution rates of drug and polymer; m_drug and m_polymer amounts of drug and polymer present
- assumptions stated: regimen where the polymer dissolves and brings the drug into solution because there is too little drug to form an intact surface layer
- used for: R1, R2; C26
- status: printed (unnumbered), checked against page image · recomputed: reproduces (integrated over time, 10% DL at 20 min: PVPVA released ≈67 mg (R2.a) × 10/90 = ≈7.4 mg RTV versus ≈7.6 mg read from Fig. 2A (R1.a); inputs read from plots, m_drug:m_polymer taken as the 10:90 DL ratio)
- locator: p.13

## 2020 Saboo · E2 · congruent release relation · 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: (dC/dt)_drug = (dC/dt)_polymer · N_drug / N_polymer
- symbols and units: (dC/dt)_drug and (dC/dt)_polymer dissolution rates; N weight fraction of the component
- assumptions stated: release controlled by polymer dissolution (congruent regime)
- used for: R14, R16
- status: printed, checked against page image · recomputed: reproduces in the normalized form of E3, where it predicts equal drug and polymer rates: Table S3 gives 0.42/0.42, 0.34/0.32 and 0.26/0.24 mg/min/cm² (R16), equal within SD
- locator: p.2

## 2022 Indulkar · E1 · congruent (polymer-controlled) release rate relation · Dissolution / A. Release mechanism and LoC

[2022-indulkar-surfactants-ritonavir-copovidone-asd-release-performance](../../../cards/2022-indulkar-surfactants-ritonavir-copovidone-asd-release-performance/paper.html) · Dissolution / A. Release mechanism and LoC

- expression: (dC/dt)_drug = (dC/dt)_polymer · m_drug / m_polymer
- symbols and units: (dC/dt)_drug dissolution rate of the drug; (dC/dt)_polymer dissolution rate of the polymer; m_drug amount of drug and m_polymer amount of polymer in the ASD
- assumptions stated: binary ASD with non-interacting components at low DL; dissolution controlled by the polymer
- used for: R2 (cited regime; not fitted to any record of this paper)
- status: printed, checked against page image · recomputed: not applicable (no numerical output stated)
- locator: p.387, p.390
