IJPAM: Volume 47, No. 1 (2008)

Invited Lecture Delivered at
Forth International Conference of Applied Mathematics
and Computing (Plovdiv, Bulgaria, August 12-18, 2007)


MODEL FORMULATION AND INTERPRETATION -
FROM EXPERIMENT TO THEORY

Carmen E. Stoenoiu$^1$, Sorana D. Bolboaca$^2$, Lorentz Jäntschi$^3$
$^{1,3}$Technical University of Cluj-Napoca
Cluj-Napoca, 400641, ROMANIA
$^1$e-mail: carmen@j.academicdirect.ro
$^3$e-mail: lori@academicdirect.org
$^2$Medical Informatics and Biostatistics
``Iuliu Hatieganu" University of Medicine and Pharmacy
Cluj-Napoca, 400349, ROMANIA
e-mail: sorana@j.academicdirect.ro


Abstract.From kinetics study of a given pair of reactants different types of mechanisms were investigated. A mathematical model was formulated. Model parameters were evaluated and assessed. Obtained results from the optimization procedure opened an interesting discussion about the limits of experiments parameters for imposed conditions, such as mechanism type and collecting procedure. By using of a least squares method were obtained models as best fits correlates (results shown an average of 96.6%) with experimental measurements. Comparison between experiments shown that the obtained model is a consistent one, all obtained parameters being in the same range of 95% confidence interval. These results validate experimental as well as from model data.

Received: August 17, 2007

AMS Subject Classification: 03H05, 60K35, 65C60, 68Q17, 93A30

Key Words and Phrases: mathematical modeling, reaction mechanism, model assessment

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 1