title: Does the dose-solubility ratio affect the mean dissolution time of drugs?
abstract: OBJECTIVE
  To present a new model for describing drug dissolution. On the basis of the new model to characterize the dissolution profile by the distribution function of the random dissolution time of a drug molecule, which generalizes the classical first order model.
  
  
  METHODS
  Instead of assuming a constant fractional dissolution rate, as in the classical model, it is considered that the fractional dissolution rate is a decreasing function of the dissolved amount controlled by the dose-solubility ratio. The differential equation derived from this assumption is solved and the distribution measures (half-dissolution time, mean dissolution time, relative dispersion of the dissolution time, dissolution time density, and fractional dissolution rate) are calculated. Finally, instead of monotonically decreasing the fractional dissolution rate, a generalization resulting in zero dissolution rate at time origin is introduced.
  
  
  RESULTS
  The behavior of the model is divided into two regions defined by q, the ratio of the dose to the solubility level: q < 1 (complete dissolution of the dose, dissolution time) and q > 1 (saturation of the solution, saturation time). The singular case q = 1 is also treated and in this situation the mean as well as the relative dispersion of the dissolution time increase to infinity. The model was successfully fitted to data (1).
  
  
  CONCLUSIONS
  This empirical model is descriptive without detailed physical reasoning behind its derivation. According to the model, the mean dissolution time is affected by the dose-solubility ratio. Although this prediction appears to be in accordance with preliminary application, further validation based on more suitable experimental data is required.
authors.affiliation: Institute of Physiology, Academy of Sciences of the Czech Republic, Vídenská, Prague. lansky@biomed.cas.cz
authors.forename: P
authors.initials: P
authors.lastname: Lánský
authors.forename: M
authors.initials: M
authors.lastname: Weiss
mesh_terms: D002214:Capsules; D004305:Dose-Response Relationship, Drug; D008956:Models, Chemical; D004364:Pharmaceutical Preparations / Q000008:administration & dosage* / Q000737:chemistry*; D012995:Solubility; D014867:Water / Q000737:chemistry
chemical_list: D002214:Capsules; D004364:Pharmaceutical Preparations; D014867:Water