On the estimate of the rate constant in the homogeneous dissolution model

ČUPERA, Jakub and Petr LÁNSKÝ. On the estimate of the rate constant in the homogeneous dissolution model. DRUG DEVELOPMENT AND INDUSTRIAL PHARMACY. London: Dekker, 2013, vol. 39, No 10, p. 1555-1561. ISSN 0363-9045. Available from: https://dx.doi.org/10.3109/03639045.2012.719907.

Basic information

• Original name: On the estimate of the rate constant in the homogeneous dissolution model
• Authors: ČUPERA, Jakub (203 Czech Republic, guarantor, belonging to the institution) and Petr LÁNSKÝ (203 Czech Republic, belonging to the institution).
• Edition: DRUG DEVELOPMENT AND INDUSTRIAL PHARMACY, London, Dekker, 2013, 0363-9045.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 30100 3.1 Basic medicine
• Country of publisher: United Kingdom of Great Britain and Northern Ireland
• Confidentiality degree: is not subject to a state or trade secret
• WWW: Abstract
• Impact factor: Impact factor: 2.006
• RIV identification code: RIV/00216224:14310/13:00107125
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.3109/03639045.2012.719907
• UT WoS: 000324286600009
• Keywords in English: Dissolution; Fisher information; rate constant; optimal sampling times
• Tags: rivok
• Tags: International impact, Reviewed

Abstract

The aim is to determine how well the rate parameter of the homogeneous model of dissolution can be estimated in dependency on the chosen times to measure the empirical data. The approach is based on the theory of Fisher information. We show that if the probability distribution of the measurement errors is known, the data should be collected at a single time instant or its close proximity in order to obtain the best estimate. This is in sharp contrast with commonly used experimental protocols. Further, from the properties of the Fisher information we deduce how suitable is the model of measurement error and we show that asymmetric distribution of data close to the time origin is unavoidable.

Links

• MUNI/A/1001/2009, interní kód MU: Name: Matematická statistika a modelování (Acronym: Statistika a modelování)

Investor: Masaryk University, Category A