Using Algebraic Geometry to Describe Boundaries of Microemulsion Regions in Nonionic Systems.
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Date
2011-05
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Abstract
This study aimed to propose an empirical polynomial function based on algebraic
geometry which could represent microemulsion regions in nonionic systems. The systems
composed of olive oil (OO), water (W) and various ratios of sorbitan monooleate (SMO) and
polyoxyethylene 20 sorbitan monooleate (PSMO) mixtures were investigated for their
microemulsion regions obtained on the phase diagrams. Concept of algebraic geometry in this
study was that description of close-boundary shape was cross-sectioning of a 3D-geometrical
object with a plane which could be explained by an empirical polynomial function of the {oil,
water, surfactant mixture}. In-house ad hoc software was created according to the proposed
concept. It was found that this method could describe boundaries of microemulsion regions in the
studied systems. Although this method could not reduce time consumption since it required
intensive computational powers, the software could automatically run. Moreover, the developed
program could provide acceptable level of accuracy.
Description
Keywords
Microemulsions, Microemulsion region, Pseudoternary system, Algebraic geometry, Phase diagram
Citation
Boonme Prapaporn, Maneenuan Duangkhae, Wongpoowarak Wibul. Using Algebraic Geometry to Describe Boundaries of Microemulsion Regions in Nonionic Systems. Journal of Applied Pharmaceutical Science. 2011 May; 1(3): 57-61.