Simulation approach for detection of the self-sustained oscillations in continuous culture

Piotr Skupin

Simulation approach for detection of the self-sustained oscillations in continuous culture

Piotr Skupin

Katedra Automatyki i Robotyki (RAU/RAU3)

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

9 Cytowania z bazy Scopus

Abstrakt

The present paper describes the simplest methods of the numerical analysis of a model of continuous culture of microorganisms limited for growth with mixture of substrates, which is very important from a practical point of view. In turn, the contribution of the individual substrates was set by the weight-coefficient - r. Two important cases have been taken into account: the influence of the dilution rate D on steady-states values of the biomass concentration in the presence of one source of substrate and the influence of both parameters D and r on steady-states values of the biomass concentration for the mixture of two substrates. Apart from using the basic numerical methods for solving ordinary differential equations, it has been presented the algorithm for detecting stable limit cycles. The presented algorithms can be implemented in most programming languages for which there exist free compilers what releases users from the necessity of use of commercial software for the numerical analysis of the systems.

Język oryginału	angielski
Tytuł publikacji goszczącej	Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10
Strony	80-85
Liczba stron	6
Status publikacji	Opublikowano - 2010
Wydarzenie	Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10 - Iasi, Rumunia Czas trwania: 13 cze 2010 → 15 cze 2010

Seria publikacji

Nazwa	Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10

Konferencja

Konferencja	Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10
Kraj/Terytorium	Rumunia
Miejscowość	Iasi
Okres	13/06/10 → 15/06/10

Obszary tematyczne ASJC Scopus

Rachunkowość
Matematyka stosowana

Inne pliki i linki

Link do publikacji w Scopus

Cytowanie

Skupin, P. (2010). Simulation approach for detection of the self-sustained oscillations in continuous culture. W Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10 (str. 80-85). (Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10).

Skupin, Piotr. / Simulation approach for detection of the self-sustained oscillations in continuous culture. Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10. 2010. str. 80-85 (Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10).

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title = "Simulation approach for detection of the self-sustained oscillations in continuous culture",

abstract = "The present paper describes the simplest methods of the numerical analysis of a model of continuous culture of microorganisms limited for growth with mixture of substrates, which is very important from a practical point of view. In turn, the contribution of the individual substrates was set by the weight-coefficient - r. Two important cases have been taken into account: the influence of the dilution rate D on steady-states values of the biomass concentration in the presence of one source of substrate and the influence of both parameters D and r on steady-states values of the biomass concentration for the mixture of two substrates. Apart from using the basic numerical methods for solving ordinary differential equations, it has been presented the algorithm for detecting stable limit cycles. The presented algorithms can be implemented in most programming languages for which there exist free compilers what releases users from the necessity of use of commercial software for the numerical analysis of the systems.",

keywords = "Bioreactor, Continuous culture, Limit cycle, Mixture of substrates, Simulation",

author = "Piotr Skupin",

year = "2010",

language = "English",

isbn = "9789604741946",

series = "Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10",

pages = "80--85",

booktitle = "Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10",

note = "Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10 ; Conference date: 13-06-2010 Through 15-06-2010",

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Skupin, P 2010, Simulation approach for detection of the self-sustained oscillations in continuous culture. w Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10. Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10, str. 80-85, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10, Iasi, Rumunia, 13/06/10.

Simulation approach for detection of the self-sustained oscillations in continuous culture. / Skupin, Piotr.
Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10. 2010. str. 80-85 (Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10).

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

TY - GEN

T1 - Simulation approach for detection of the self-sustained oscillations in continuous culture

AU - Skupin, Piotr

PY - 2010

Y1 - 2010

N2 - The present paper describes the simplest methods of the numerical analysis of a model of continuous culture of microorganisms limited for growth with mixture of substrates, which is very important from a practical point of view. In turn, the contribution of the individual substrates was set by the weight-coefficient - r. Two important cases have been taken into account: the influence of the dilution rate D on steady-states values of the biomass concentration in the presence of one source of substrate and the influence of both parameters D and r on steady-states values of the biomass concentration for the mixture of two substrates. Apart from using the basic numerical methods for solving ordinary differential equations, it has been presented the algorithm for detecting stable limit cycles. The presented algorithms can be implemented in most programming languages for which there exist free compilers what releases users from the necessity of use of commercial software for the numerical analysis of the systems.

AB - The present paper describes the simplest methods of the numerical analysis of a model of continuous culture of microorganisms limited for growth with mixture of substrates, which is very important from a practical point of view. In turn, the contribution of the individual substrates was set by the weight-coefficient - r. Two important cases have been taken into account: the influence of the dilution rate D on steady-states values of the biomass concentration in the presence of one source of substrate and the influence of both parameters D and r on steady-states values of the biomass concentration for the mixture of two substrates. Apart from using the basic numerical methods for solving ordinary differential equations, it has been presented the algorithm for detecting stable limit cycles. The presented algorithms can be implemented in most programming languages for which there exist free compilers what releases users from the necessity of use of commercial software for the numerical analysis of the systems.

KW - Bioreactor

KW - Continuous culture

KW - Limit cycle

KW - Mixture of substrates

KW - Simulation

UR - https://www.scopus.com/pages/publications/79952579132

M3 - Conference contribution

AN - SCOPUS:79952579132

SN - 9789604741946

T3 - Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10

SP - 80

EP - 85

BT - Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10

T2 - Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10

Y2 - 13 June 2010 through 15 June 2010

ER -

Skupin P. Simulation approach for detection of the self-sustained oscillations in continuous culture. W Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10. 2010. str. 80-85. (Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Business and Economics, MCBE '10, Proc. of the 11th WSEAS Int. Conf. on Mathematics and Computers in Biology and Chemistry, MCBC '10).

Simulation approach for detection of the self-sustained oscillations in continuous culture

Abstrakt

Seria publikacji

Konferencja

Obszary tematyczne ASJC Scopus

Inne pliki i linki

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Cytowanie