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  4. The Scheffe’s method in the study of mathematical model of the polymeric hydrogels composite structures optimization

The Scheffe’s method in the study of mathematical model of the polymeric hydrogels composite structures optimization

MMC.
2019;
Volume 6, Number 2
: pp. 258–267
https://doi.org/10.23939/mmc2019.02.258
Received: August 18, 2019
Revised: October 14, 2019
Accepted: October 16, 2019

Mathematical Modeling and Computing, Vol. 6, No. 2, pp. 258–267 (2019)

Authors:
  1. Oleksandr Grytsenko
  2. P. Ya. Pukach
  3. Oleh Suberlyak
  4. V. S. Moravskyi
  5. R. A. Kovalchuk
  6. Bohdan Berezhnyy
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University
5
Hetman Petro Sahaidachnyi National Army Academy
6
Lviv Polytechnic National University

Mathematical modeling of 2-hydroxyethylmethacrylate with polyvinylpyrrolidone copolymerization process according to technological parameters of the exothermic reaction has been carried out by Scheffe’s simplex-lattice planning method.  Optimization of polymer monomer composition formula has been carried out and the regression equations of the main parameters of exothermic polymerization –– gelation time, the duration of the gel effect area, and the maximum temperature of the exotherm have been obtained.  Using the mathematical model obtained, the content of the initial composition has been defined.  The exothermic effects of such initial composition polymerization provide the optimal technological parameters of metal ions reduction stage during polymerization.

mathematical modeling
Scheffe’s simplex-lattice planning method
optimization of composition formula
metal-filled hydrogels
exothermy
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