IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v17y2009i3p315-341.html
   My bibliography  Save this article

A survey on OR and mathematical methods applied on gene-environment networks

Author

Listed:
  • Gerhard-Wilhelm Weber
  • Erik Kropat
  • Basak Akteke-Öztürk
  • Zafer-Korcan Görgülü

Abstract

In this paper, we survey the recent advances and mathematical foundations of gene-environment networks. We explain their interdisciplinary implications with special regard to human and life sciences as well as financial sciences. Special attention is paid to applications in Operational Research and environmental protection. Originally developed in the context of modeling and prediction of gene-expression patterns, gene-environment networks have proved to provide a conceptual framework for the modeling of dynamical systems with respect to errors and uncertainty as well as the influence of certain environmental items. Given the noise-prone measurement data we extract nonlinear differential equations to describe and analyze the interactions and regulating effects between the data items of interest and the environmental items. In particular, these equations reflect data uncertainty by the use of interval arithmetics and comprise unknown parameters resulting in a wide variety of the model. For an identification of these parameters Chebychev approximation and generalized semi-infinite optimization are applied. In addition, the time-discrete counterparts of the nonlinear equations are introduced and their parametrical stability is investigated by a combinatorial algorithm which detects the region of parameter stability. Finally, we analyze the topological landscape of the gene-environment networks in terms of structural stability. We conclude with an application of our analysis and introduce the eco-finance networks. Copyright Springer-Verlag 2009

Suggested Citation

  • Gerhard-Wilhelm Weber & Erik Kropat & Basak Akteke-Öztürk & Zafer-Korcan Görgülü, 2009. "A survey on OR and mathematical methods applied on gene-environment networks," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 17(3), pages 315-341, September.
    • Handle: RePEc:spr:cejnor:v:17:y:2009:i:3:p:315-341
    DOI: 10.1007/s10100-009-0092-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10100-009-0092-4
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10100-009-0092-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Carlo Carraro & Vito Fragnelli (ed.), 2004. "Game Practice and the Environment," Books, Edward Elgar Publishing, number 3344.
    2. repec:ebl:ecbull:v:3:y:2003:i:9:p:1-8 is not listed on IDEAS
    3. Dinko Dimitrov & Stef Tijs & Rodica Branzei, 2003. "Shapley-like values for interval bankruptcy games," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    4. Gerhard-Wilhelm Weber & Aysun Tezel, 2007. "On generalized semi-infinite optimization of genetic networks," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 65-77, July.
    5. Tijs, S.H. & Brânzei, R., 2004. "Cost sharing in a joint project," Other publications TiSEM 38dc89bd-b4ec-43a6-bdef-a, Tilburg University, School of Economics and Management.
    6. G.-W. Weber & P. Taylan & S. Alparslan-Gök & S. Özöğür-Akyüz & B. Akteke-Öztürk, 2008. "Optimization of gene-environment networks in the presence of errors and uncertainty with Chebychev approximation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 284-318, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chen, Jianxin & Zheng, Junhao & Zhang, Tonghua & Hou, Rui & Zhou, Yong-wu, 2022. "Dynamical complexity of pricing and green level for a dyadic supply chain with capital constraint," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 195(C), pages 1-21.
    2. Chandra Pedamallu & Linet Ozdamar & Erik Kropat & Gerhard-Wilhelm Weber, 2012. "A system dynamics model for intentional transmission of HIV/AIDS using cross impact analysis," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(2), pages 319-336, June.
    3. Immanuel Bomze & Karl F. Dörner & Richard F. Hartl & Ulrike Leopold-Wildburger & Georg Pflug & Marion Rauner & Christian Stummer & Gernot Tragler & Tina Wakolbinger, 2018. "Emerging and innovative OR applications: a special issue in honor of Walter J. Gutjahr," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(2), pages 259-263, June.
    4. Zomorrodi, Ali R. & Maranas, Costas D., 2014. "Coarse-grained optimization-driven design and piecewise linear modeling of synthetic genetic circuits," European Journal of Operational Research, Elsevier, vol. 237(2), pages 665-676.
    5. Weber, Gerhard-Wilhelm & Defterli, Ozlem & Alparslan Gök, SIrma Zeynep & Kropat, Erik, 2011. "Modeling, inference and optimization of regulatory networks based on time series data," European Journal of Operational Research, Elsevier, vol. 211(1), pages 1-14, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rodica Branzei & Sirma Zeynep Alparslan Gok, 2008. "Bankruptcy problems with interval uncertainty," Economics Bulletin, AccessEcon, vol. 3(56), pages 1-10.
    2. Rodica Branzei & Marco Dall'Aglio & Stef H. Tijs, 2013. "On Bankruptcy Game Theoretic Interval Rules," Papers 1301.3096, arXiv.org.
    3. repec:ebl:ecbull:v:3:y:2008:i:56:p:1-10 is not listed on IDEAS
    4. G.-W. Weber & P. Taylan & S. Alparslan-Gök & S. Özöğür-Akyüz & B. Akteke-Öztürk, 2008. "Optimization of gene-environment networks in the presence of errors and uncertainty with Chebychev approximation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 284-318, December.
    5. Weber, Gerhard-Wilhelm & Defterli, Ozlem & Alparslan Gök, SIrma Zeynep & Kropat, Erik, 2011. "Modeling, inference and optimization of regulatory networks based on time series data," European Journal of Operational Research, Elsevier, vol. 211(1), pages 1-14, May.
    6. Johan Eyckmans & Michael Finus, 2006. "New roads to international environmental agreements: the case of global warming," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 7(4), pages 391-414, December.
    7. Kempf, Hubert & Rossignol, Stéphane, 2013. "National politics and international agreements," Journal of Public Economics, Elsevier, vol. 100(C), pages 93-105.
    8. Kanzi, N. & Nobakhtian, S., 2010. "Necessary optimality conditions for nonsmooth generalized semi-infinite programming problems," European Journal of Operational Research, Elsevier, vol. 205(2), pages 253-261, September.
    9. Takaaki Abe, 2019. "Buck-passing Dumping in a Pure Exchange Game of Bads," Working Papers 1918, Waseda University, Faculty of Political Science and Economics.
    10. Driessen, Theo S.H. & Fragnelli, Vito & Katsev, Ilya V. & Khmelnitskaya, Anna B., 2011. "On 1-convexity and nucleolus of co-insurance games," Insurance: Mathematics and Economics, Elsevier, vol. 48(2), pages 217-225, March.
    11. Alparslan-Gok, S.Z. & Miquel, S. & Tijs, S.H., 2008. "Cooperation under Interval Uncertainty," Other publications TiSEM 9a01bd57-964d-4e71-8508-7, Tilburg University, School of Economics and Management.
    12. Michèle Breton & Lucia Sbragia & Georges Zaccour, 2010. "A Dynamic Model for International Environmental Agreements," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 45(1), pages 25-48, January.
    13. Richter, Andries & Grasman, Johan, 2013. "The transmission of sustainable harvesting norms when agents are conditionally cooperative," Ecological Economics, Elsevier, vol. 93(C), pages 202-209.
    14. Bischi, Gian Italo & Lamantia, Fabio, 2007. "Harvesting dynamics in protected and unprotected areas," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 348-370, March.
    15. Moretti, S. & Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Connection Situations under Uncertainty," Other publications TiSEM e9771ffd-ce59-4b8d-a2c8-d, Tilburg University, School of Economics and Management.
    16. S. Alparslan Gök & R. Branzei & S. Tijs, 2010. "The interval Shapley value: an axiomatization," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(2), pages 131-140, June.
    17. Tijs, S.H. & Brânzei, R., 2004. "Cases in Cooperation and Cutting the Cake," Other publications TiSEM f9573808-10b5-4a9e-a835-2, Tilburg University, School of Economics and Management.
    18. Dritan Osmani, "undated". "A note on optimal transfer schemes, stable coalition for environmental protection and joint maximization assumption," Working Papers FNU-176, Research unit Sustainability and Global Change, Hamburg University.
    19. Luisa Carente & Balbina Casas-Mendez & Ignacio Carcia-Jurado & Anne van den Nouweland, 2007. "The Truncated Core for Games with Limited Aspirations," Department of Economics - Working Papers Series 1010, The University of Melbourne.
    20. Junnosuke Shino & Shinichi Ishihara & Shimpei Yamauchi, 2022. "Shapley Mapping and Its Axiomatizations in n -Person Cooperative Interval Games," Mathematics, MDPI, vol. 10(21), pages 1-14, October.
    21. Helga Habis & P. Herings, 2013. "Stochastic bankruptcy games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 973-988, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:cejnor:v:17:y:2009:i:3:p:315-341. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.