Comprehensive kinetic model for the dissolution, reaction, and crystallization processes involved in the synthesis of aspirin

Kinetic modeling of batch reactions monitored by in situ spectroscopy has been shown to be a helpful method for developing a complete understanding of reaction systems. Much work has been carried out to demonstrate the ability to model dissolution, reaction, and crystallization processes separately; however, little has been performed in terms of combining all of these into one comprehensive kinetic model. This paper demonstrates the integration of models of dissolution, temperature‐dependent solubility, and unseeded crystallization driven by cooling into a comprehensive kinetic model describing the evolution of a slurry reaction monitored by in situ attenuated total reflectance ultraviolet–visible spectroscopy. The model estimates changes in the volume of the dissolved fraction of the slurry by use of the partial molar volume of the dissolved species that change during the course of reagent addition, dissolution, reaction, and crystallization. The comprehensive model accurately estimates concentration profiles of dissolved and undissolved components of the slurry and, thereby, the degree of undersaturation and supersaturation necessary for estimation of the rates of dissolution and crystallization. Results were validated across two subsequent batches via offline high‐performance liquid chromatography measurements. Copyright © 2014 John Wiley & Sons, Ltd.

[1]  W. R. The Elements of Physical Chemistry , 1902, Nature.

[2]  Kenneth Levenberg A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[3]  Samuel Glasstone,et al.  Elements of Physical Chemistry , 1993 .

[4]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[5]  J. Wagner,et al.  SOLUBILITY AND DISSOLUTION RATES IN REACTIVE MEDIA. , 1964, Journal of pharmaceutical sciences.

[6]  K. Florey,et al.  Analytical profiles of drug substances , 1972 .

[7]  Jerry March,et al.  Advanced Organic Chemistry: Reactions, Mechanisms, and Structure , 1977 .

[8]  John Garside,et al.  Industrial crystallization from solution , 1985 .

[9]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[10]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[11]  Quantitative analysis of mixtures of symmetric and mixed anhydrides , 1994 .

[12]  J. Macgregor,et al.  Monitoring batch processes using multiway principal component analysis , 1994 .

[13]  Charles K. Bayne Practical Guide to Chemometrics , 1995 .

[14]  Marcel Maeder,et al.  Second order global analysis: the evaluation of series of spectrophotometric titrations for improved determination of equilibrium constants , 1997 .

[15]  Smilde,et al.  Spectroscopic monitoring of batch reactions for on-line fault detection and diagnosis , 2000, Analytical chemistry.

[16]  P. Costa,et al.  Modeling and comparison of dissolution profiles. , 2001, European journal of pharmaceutical sciences : official journal of the European Federation for Pharmaceutical Sciences.

[17]  Denis Mangin,et al.  Kinetics identification of salicylic acid precipitation through experiments in a batch stirred vessel and a T-mixer , 2001 .

[18]  Konrad Hungerbühler,et al.  Isothermal reaction calorimetry as a tool for kinetic analysis , 2004 .

[19]  R. R. Rhinehart,et al.  Modeling of batch reactions with in situ spectroscopic measurements and calorimetry , 2005 .

[20]  Graeme Puxty,et al.  Tutorial on the fitting of kinetics models to multivariate spectroscopic measurements with non-linear least-squares regression , 2006 .

[21]  R. Tan,et al.  Application of attenuated total reflectance-Fourier transform infrared (ATR-FTIR) technique in the monitoring and control of anti-solvent crystallization , 2006 .

[22]  G. Févotte,et al.  Crystallization of monohydrate citric acid. 2. Modeling through population balance equations , 2007 .

[23]  Real-time kinetic hard-modelling for the optimisation of reaction conditions and the detection of process upset in semi-batch reactors , 2008 .

[24]  Martin De Cecco,et al.  Multivariate kinetic hard-modelling of spectroscopic data: A comparison of the esterification of butanol by acetic anhydride on different scales and with different instruments , 2008 .

[25]  Konrad Hungerbühler,et al.  Kinetic hard-modelling and spectral validation of rank-deficient spectroscopic data , 2009 .

[26]  Marco Mazzotti,et al.  Estimating Crystal Growth Rates Using in situ ATR-FTIR and Raman Spectroscopy in a Calibration-Free Manner , 2009 .

[27]  Marco Mazzotti,et al.  Experimental Characterization and Population Balance Modeling of the Polymorph Transformation of l-Glutamic Acid , 2009 .

[28]  L. L. Simon,et al.  Comparison of external bulk video imaging with focused beam reflectance measurement and ultra-violet visible spectroscopy for metastable zone identification in food and pharmaceutical crystallization processes , 2009 .

[29]  Konrad Hungerbühler,et al.  Systematic prediction of linear dependencies in the concentration profiles and implications on the kinetic hard-modelling of spectroscopic data , 2009 .

[30]  D. Bonvin,et al.  Extent-based kinetic identification using spectroscopic measurements and multivariate calibration. , 2013, Analytica chimica acta.

[31]  R. M. Hoffman,et al.  Kinetic modeling of dissolution and crystallization of slurries with attenuated total reflectance UV-visible absorbance and near-infrared reflectance measurements. , 2013, Analytical chemistry.

[32]  Dennis G. Zill,et al.  Advanced Engineering Mathematics , 2021, Technometrics.