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Updated: Aug 6, 2026

Precise Electrochemical Sizing of Individual Electro-Inactive Particles
Published on: August 4, 2023
Semi-mechanistic partial buffer approach to modeling pH, the buffer properties, and the distribution of ionic species
Daniel P Dougherty1, Edith Ramos Da Conceicao Neta, Roger F McFeeters
1Lyman Briggs School of Science and Department of Statistics and Probability, Michigan State University, East Lansing, 48825-1107, USA.
Abstract:
In many biological science and food processing applications, it is very important to control or modify pH. However, the complex, unknown composition of biological media and foods often limits the utility of purely theoretical approaches to modeling pH and calculating the distributions of ionizable species. This paper provides general formulas and efficient algorithms for predicting the pH, titration, ionic species concentrations, buffer capacity, and ionic strength of buffer solutions containing both defined and undefined components. A flexible, semi-mechanistic, partial buffering (SMPB) approach is presented that uses local polynomial regression to model the buffering influence of complex or undefined components in a solution, while identified components of known concentration are modeled using expressions based on extensions of the standard acid-base theory. The SMPB method is implemented in a freeware package, (pH)Tools, for use with Matlab. We validated the predictive accuracy of these methods by using strong acid titrations of cucumber slurries to predict the amount of a weak acid required to adjust pH to selected target values.
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