Control theoretic approach to analysis of random branching walk models arising in molecular biology

Andrzej Swierniak

Control theoretic approach to analysis of random branching walk models arising in molecular biology

Andrzej Swierniak

Department of Systems Biology and Engineering (RAU/RAU1)

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

Abstract

We present two models of molecular processes described by infinite systems of first order differential equations. These models result from branching random walk processes used to represent the evolution of particles in these problems. Using asymptotic techniques based on Laplace transforms it is possible to characterize the asymptotic behavior of telomeres shortening which is supposed to be the mechanism of aging and evolution of cancer cells with increasing number of copies genes responsible for coding causing drug removal or metabolisation. The analysis in both cases is possible because they could be represented by systems with positive feedbacks.

Original language	English
Title of host publication	ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings
Pages	217-220
Number of pages	4
Publication status	Published - 2008
Event	5th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2008 - Funchal, Madeira, Portugal Duration: 11 May 2008 → 15 May 2008

Publication series

Name	ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings
Volume	SPSMC

Conference

Conference	5th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2008
Country/Territory	Portugal
City	Funchal, Madeira
Period	11/05/08 → 15/05/08

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Control applications in biology
Random branching walks
Systems modelling

ASJC Scopus subject areas

Artificial Intelligence
Computer Vision and Pattern Recognition
Control and Systems Engineering

Cite this

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title = "Control theoretic approach to analysis of random branching walk models arising in molecular biology",

abstract = "We present two models of molecular processes described by infinite systems of first order differential equations. These models result from branching random walk processes used to represent the evolution of particles in these problems. Using asymptotic techniques based on Laplace transforms it is possible to characterize the asymptotic behavior of telomeres shortening which is supposed to be the mechanism of aging and evolution of cancer cells with increasing number of copies genes responsible for coding causing drug removal or metabolisation. The analysis in both cases is possible because they could be represented by systems with positive feedbacks.",

keywords = "Control applications in biology, Random branching walks, Systems modelling",

author = "Andrzej Swierniak",

year = "2008",

language = "English",

isbn = "9789898111326",

series = "ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings",

pages = "217--220",

booktitle = "ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings",

note = "5th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2008 ; Conference date: 11-05-2008 Through 15-05-2008",

}

Swierniak, A 2008, Control theoretic approach to analysis of random branching walk models arising in molecular biology. in ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings. ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings, vol. SPSMC, pp. 217-220, 5th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2008, Funchal, Madeira, Portugal, 11/05/08.

Control theoretic approach to analysis of random branching walk models arising in molecular biology. / Swierniak, Andrzej.
ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings. 2008. p. 217-220 (ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings; Vol. SPSMC).

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

TY - GEN

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AU - Swierniak, Andrzej

PY - 2008

Y1 - 2008

N2 - We present two models of molecular processes described by infinite systems of first order differential equations. These models result from branching random walk processes used to represent the evolution of particles in these problems. Using asymptotic techniques based on Laplace transforms it is possible to characterize the asymptotic behavior of telomeres shortening which is supposed to be the mechanism of aging and evolution of cancer cells with increasing number of copies genes responsible for coding causing drug removal or metabolisation. The analysis in both cases is possible because they could be represented by systems with positive feedbacks.

AB - We present two models of molecular processes described by infinite systems of first order differential equations. These models result from branching random walk processes used to represent the evolution of particles in these problems. Using asymptotic techniques based on Laplace transforms it is possible to characterize the asymptotic behavior of telomeres shortening which is supposed to be the mechanism of aging and evolution of cancer cells with increasing number of copies genes responsible for coding causing drug removal or metabolisation. The analysis in both cases is possible because they could be represented by systems with positive feedbacks.

KW - Control applications in biology

KW - Random branching walks

KW - Systems modelling

UR - https://www.scopus.com/pages/publications/58049139132

M3 - Conference contribution

AN - SCOPUS:58049139132

SN - 9789898111326

T3 - ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings

SP - 217

EP - 220

BT - ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings

T2 - 5th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2008

Y2 - 11 May 2008 through 15 May 2008

ER -

Control theoretic approach to analysis of random branching walk models arising in molecular biology

Abstract

Publication series

Conference

UN SDGs

Keywords

ASJC Scopus subject areas

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