Uncertainty in the evolution of structures of reaction-diffusion medium of bioreactor
Abstract
The passing of the reaction-diffusion process was investigated in the bioreactor using the mathematical model. It was shown, that with time the space-heterogeneous stationary dissipative structures arise over the biotechnology process of defined parameters. The diffusion constant of the porous medium and physical-chemical parameters of the system define the size and arising structures. The physical-chemical process of its self-organization was investigated in the biosystem of immobile cells. The dependence of space-heterogeneous stationary dissipative structures from the value of diffusion coefficient of the porous medium was analyzed. The repetitive structures for different diffusion coefficients were found and the influence of the indeterminacy of structure on control behavior process activity was investigated.
Downloads
References
Gachok V.P., Arinbasarova A.Yu., Medentsev A.G., Koshcheyenko K.A., Akimenko V.K. // Biotechnology and Bioengineering.- 1989.- 33.- P.661-667.
Gachok V.P., Arinbasarova A.Yu., Medentsev A.G., Koshcheyenko K.A., Akimenko V.K. // Biotechnology and Bioengineering.- 1989.- 33.- P.661-667.
Гачок В.П., Грицай В.И.// Докл. АН СССР.- 1985.- 282.- N : 1 - С. 51-53.
Гачок В.П., Аринбасарова А.Ю., Кощеенко К.А., Меденцев А.Г., Акименко В.К. // Прикладная биохимия и микробиология.- 1988.- XXIV.- Вьп.З.- С. 380-388.
Гачок В.П., Аринбасарова А.Ю., Грицай В.И., Меденцев А.Г., Кощеенко К.А., Акименко В.К. // Прикладная биохимия и микробиология.- 1988,- XXIV.- Вып.З.- С. 389-399.
Грицай В.И., Гачок В.П., Прилуцкий Ю.И. и др. // Тез. IV Международной конференции "Математические модели нелинейных возбуждений, переноса, динамики управления в конденсированых системах и других средах". М.: Изд. "Станкин",- 2000.- С.38.
Грицай В.И. // Доклады НАН Украины.- 2000. №2,- С.175-179.
Грицай В.И. // Доклады НАН Украины. 2000. №3.- С.201-206.
Грицай В.И. // Доклады НАН Украины. 2000. №11.- С. 112-116.
Grytsay V.I., Gachok V.P., Prylutskyy Yu.I., Kucherenko M.E., Matyshevska O.P., Prylutyska S.V. and ScharffP. // EUROCARBON 2000, 1-st World Conference on Carbon, Germany, Berlin.- 2000.- P.969-970.
Грицай В.Й. // Украинский физический журнал.- 2001. №.1.- С.124-127.
Грицай В.И. // Вестник Киевского университета. 2002. №2.- С. 394-400.
Андреев А.А., Грицай В.И. // Вестник Чувашского университета. 2002. №2.- С. 43-53.
Андреев А.А., Грицай В.И. // Математическое моделирование. 2005.17, №2.- С. 57-64.
Андреев В.В., Грицай В.И. // Математическое моделирование. 2005.17, №6.- С. 3-12.
Grytsay V.I., Andreev V.V. // 8lh Romanian Biophysics Conference with International participation "Advanced Biomaterials and Biophysical Techniques", Abstracts, Iasi, Romania. May, 26-28, 2005.- P. 119.
Грицай В.И., Андреев В.В. // Математическое моделирование. - 2006. - 18, №12. - С. 88-94.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).