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

Date

2009-09-01

Author

Weber, Gerhard Wilhelm
Kropat, Erik
Öztürk, Başak
Gorgulu, Zafer-Korcan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

171
views

0
downloads

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.

Subject Keywords

Management Science and Operations Research

URI

https://hdl.handle.net/11511/56897

Journal

CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH

DOI

https://doi.org/10.1007/s10100-009-0092-4

Collections

Graduate School of Applied Mathematics, Article

Suggestions

OpenMETU
Core

An application of the minimal spanning tree approach to the cluster stability problem Volkovich, Z.; Barzily, Z.; Weber, Gerhard Wilhelm; Toledano-Kitai, D.; Avros, R. (Springer Science and Business Media LLC, 2012-03-01) Among the areas of data and text mining which are employed today in OR, science, economy and technology, clustering theory serves as a preprocessing step in the data analyzing. An important component of clustering theory is determination of the true number of clusters. This problem has not been satisfactorily solved. In our paper, this problem is addressed by the cluster stability approach. For several possible numbers of clusters, we estimate the stability of the partitions obtained from clustering of samp...
A multicriteria sorting approach based on data envelopment analysis for R&D project selection problem Karasakal, Esra (Elsevier BV, 2017-12-01) In this paper, multiple criteria sorting methods based on data envelopment analysis (DEA) are developed to evaluate research and development (R&D) projects. The weight intervals of the criteria are obtained from Interval Analytic Hierarchy Process and employed as the assurance region constraints of models. Based on data envelopment analysis, two threshold estimation models, and five assignment models are developed for sorting. In addition to sorting, these models also provide ranking of the projects. The de...
A metamodeling methodology involving both qualitative and quantitative input factors Tunali, S; Batmaz, I (Elsevier BV, 2003-10-16) This paper suggests a methodology for developing a simulation metamodel involving both quantitative and qualitative factors. The methodology mainly deals with various strategic issues involved in metamodel estimation, analysis, comparison, and validation. To illustrate how to apply the methodology, a regression metamodel is developed for a client-server computer system. In particular, we studied how the response time is affected by the quantum interval, the buffer size. and the total number of terminals whe...
The Heuristic role of questions in the formation of research programmes: Copernicus’s heliocentric system Altuğ, Sezen; Bağçe, Samet; Department of Philosophy (2016) The aim of this thesis is to develop a critical view about the notion of the heuristic in Lakatos’s methodology of research programmes. The heuristic is tried to be sterilized from its defects with an insight derived from different forms of theories dealing with questions. For that reason, a short survey which includes Socratic dialogues, Hintikka’s theory of interrogative games, van Fraassen’s theory of why-questions, and Laudan’s analogy between science and problem-solving activity is introduced. As a res...
Analysis of an inventory system under supply uncertainty Gullu, R; Onol, E; Erkip, N (Elsevier BV, 1999-03-20) In this paper, we analyze a periodic review, single-item inventory model under supply uncertainty. The objective is to minimize expected holding and backorder costs over a finite planning horizon under the supply constraints. The uncertainty in supply is modeled using a three-point probability mass function. The supply is either completely available, partially available, or the supply is unavailable. Machine breakdowns, shortages in the capacity of the supplier, strikes, etc., are possible causes of uncerta...

Citation Formats

G. W. Weber, E. Kropat, B. Öztürk, and Z.-K. Gorgulu, “A survey on OR and mathematical methods applied on gene-environment networks,” CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, pp. 315–341, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56897.