DEVELOPMENT OF A MATHEMATICAL MODEL
FOR A PNEUMATIC THERMAL STABILIZATION SYSTEM
A. V. Chernyshev, A. A. Krutikov, K. E. Demikhov,
A. V. Polynkov, O. V. Belova, I. A. Smirnov*
N.E. Bauman Moscow State Technical University
*IMBP State Science Centre RAS
The paper presents a calculational
procedure used to develop a pneumoelectric device for polymerase chain reaction
(PCR) splitting of DNA molecules -- a pneumatic amplificator. This system
is characterized by a high rate of change of the working medium (air) temperature
combined with a high accuracy of change of biological sample temperature in
plastic microvials. The aim of the present research is modeling thermal processes
to find optimal conditions for PCR DNA splitting. A mathematical model used
in calculations based on the lumped parameter method is introduced. An experimental
stand is described. The results of theoretic prediction studies are given
and compared with experimental results. It is shown that the proposed technique
allows one to evaluate the extent of transients occurring in the pneumatic
amplificator. It is inferred that a mathematical model based on distributed
parameter methods of system description are needed.