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

Department of Automatic Control and Robotics (RAU/RAU3)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

9 Citations (Scopus)

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.

Original language	English
Title of host publication	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
Number of pages	6
Publication status	Published - 2010
Event	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, Romania Duration: 13 Jun 2010 → 15 Jun 2010

Publication series

Name	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

Conference	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
Country/Territory	Romania
City	Iasi
Period	13/06/10 → 15/06/10

Keywords

Bioreactor
Continuous culture
Limit cycle
Mixture of substrates
Simulation

ASJC Scopus subject areas

Accounting
Applied Mathematics

Cite this

Skupin, P. (2010). Simulation approach for detection of the self-sustained oscillations in continuous culture. In 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 (pp. 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. pp. 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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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",

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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",

}

Skupin, P 2010, Simulation approach for detection of the self-sustained oscillations in continuous culture. in 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, pp. 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, Romania, 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. p. 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).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Skupin, Piotr

PY - 2010

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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

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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. In 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. p. 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

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Keywords

ASJC Scopus subject areas

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