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Volumn 57, Issue 2, 2008, Pages 353-377

Mathematical contributions to dynamics and optimization of gene-environment networks

Author keywords

Computational biology; Continuous; Discrete; Dynamical systems; Environment; Gene expression data; Generalized semi infinite programming; Hybrid; Inverse problem; Mathematical modeling; Spline; Stability; Structural frontiers; Structural stability

Indexed keywords


EID: 40549112675     PISSN: 02331934     EISSN: 10294945     Source Type: Journal    
DOI: 10.1080/02331930701780037     Document Type: Article
Times cited : (33)

References (86)
  • 3
    • 33947674925 scopus 로고    scopus 로고
    • An improved algorithm for analytical modeling and anticipation of gene expression patterns
    • M.U. Akhmet, et al., An improved algorithm for analytical modeling and anticipation of gene expression patterns, J. Comput. Tech. 10(4) (2005), pp. 3-20.
    • (2005) J. Comput. Tech , vol.10 , Issue.4 , pp. 3-20
    • Akhmet, M.U.1
  • 4
    • 27144458449 scopus 로고    scopus 로고
    • M.U. Akhmet, et al., Control and optimal response problems for quasilinear impulse integrodifferential equations, in: the feature cluster, Adv. Contin. Optimization of Eur. J. Oper. Res. 169(3) (2006), pp. 1128-1147.
    • M.U. Akhmet, et al., Control and optimal response problems for quasilinear impulse integrodifferential equations, in: the feature cluster, Adv. Contin. Optimization of Eur. J. Oper. Res. 169(3) (2006), pp. 1128-1147.
  • 5
    • 33846029504 scopus 로고    scopus 로고
    • _, An anticipatory extension of Malthusian model, CASYS'05, Seventh International Conference on Computing Anticipatory Systems (Liege, Belgium, August, 2005), D. Dubois, ed., Liege, Belgium, August, 2005, AIP Conference Proceedings, Melville, New York, 839 (2006) pp. 260-264.
    • _, An anticipatory extension of Malthusian model, CASYS'05, Seventh International Conference on Computing Anticipatory Systems (Liege, Belgium, August, 2005), D. Dubois, ed., Liege, Belgium, August, 2005, AIP Conference Proceedings, Melville, New York, 839 (2006) pp. 260-264.
  • 6
    • 0034721164 scopus 로고    scopus 로고
    • Error and attack tolerance of complex networks
    • R. Albert, H. Jeong, and A. Barabasi, Error and attack tolerance of complex networks, Nature. 406 (2000), pp. 378-382.
    • (2000) Nature , vol.406 , pp. 378-382
    • Albert, R.1    Jeong, H.2    Barabasi, A.3
  • 10
    • 0018453090 scopus 로고
    • Stability of dynamical systems: A constructive approach
    • R.K. Brayton and C.H. Tong, Stability of dynamical systems: A constructive approach, IEEE Trans. Circ. Syst. 26(4) (1979), pp. 224-234.
    • (1979) IEEE Trans. Circ. Syst , vol.26 , Issue.4 , pp. 224-234
    • Brayton, R.K.1    Tong, C.H.2
  • 11
    • 0001336448 scopus 로고
    • The method of successive projection for finding a common point of convex sets
    • L.M. Brègman, The method of successive projection for finding a common point of convex sets, Soviet. Math. Dokl. 6 (1965), pp. 688-692.
    • (1965) Soviet. Math. Dokl , vol.6 , pp. 688-692
    • Brègman, L.M.1
  • 13
    • 0003324747 scopus 로고
    • Differentiable Germs and Catastrophes
    • London Math. Soc. Lect, Cambridge University Press, Cambridge
    • Th. Bröcker and L. Lander, Differentiable Germs and Catastrophes, London Math. Soc. Lect. Note Series 17, Cambridge University Press, Cambridge, 1975.
    • (1975) Note Series , vol.17
    • Bröcker, T.1    Lander, L.2
  • 14
    • 0033796508 scopus 로고    scopus 로고
    • DNA Microchips: Technical and practical considerations
    • M.S. Carbayo, W. Bornman, and C.C. Cardo, DNA Microchips: technical and practical considerations, Curr. Org. Chem. 4(9) (2000), pp. 945-971.
    • (2000) Curr. Org. Chem , vol.4 , Issue.9 , pp. 945-971
    • Carbayo, M.S.1    Bornman, W.2    Cardo, C.C.3
  • 17
    • 0030669030 scopus 로고    scopus 로고
    • Exploring the metabolic and genetic control of gene expression on a genomic scale
    • J. De Risi, V. Iyer, and P. Brown, Exploring the metabolic and genetic control of gene expression on a genomic scale, Science. 278 (1997), pp. 680-686.
    • (1997) Science , vol.278 , pp. 680-686
    • De Risi, J.1    Iyer, V.2    Brown, P.3
  • 18
    • 0242574990 scopus 로고    scopus 로고
    • A biophysical approach to transcrition factor binding site discovery
    • M. Djordjevic, A biophysical approach to transcrition factor binding site discovery, Genome Res. 13 (2003), pp. 2381-2390.
    • (2003) Genome Res , vol.13 , pp. 2381-2390
    • Djordjevic, M.1
  • 19
    • 40549085212 scopus 로고    scopus 로고
    • Precision and stability of Euler, Runga-Kutta and incursive algorithm for the harmonic oscillator
    • D.M. Dubois and E. Kalisz, Precision and stability of Euler, Runga-Kutta and incursive algorithm for the harmonic oscillator, Int. J. Comput. Anticipatory Syst. 14 (2004), pp. 21-36.
    • (2004) Int. J. Comput. Anticipatory Syst , vol.14 , pp. 21-36
    • Dubois, D.M.1    Kalisz, E.2
  • 20
    • 40549133079 scopus 로고    scopus 로고
    • Generalized semi-infinite optimization and anticipatory systems
    • T. Ergenç, et al., Generalized semi-infinite optimization and anticipatory systems, Int. J. Comput. Anticipatory Syst. 15 (2004), pp. 3-30.
    • (2004) Int. J. Comput. Anticipatory Syst , vol.15 , pp. 3-30
    • Ergenç, T.1
  • 21
    • 40549138646 scopus 로고    scopus 로고
    • Modelling and prediction of gene-expression patterns reconsidered with Runge-Kutta discretization, special issue at the occasion of seventith birthday of Prof.Dr. Karl Roesner, TU Darmstadt
    • T. Ergenç and G.-W. Weber, Modelling and prediction of gene-expression patterns reconsidered with Runge-Kutta discretization, special issue at the occasion of seventith birthday of Prof.Dr. Karl Roesner, TU Darmstadt, J. Comput. Tech. 9(6) 2004, pp. 40-48.
    • (2004) J. Comput. Tech , vol.9 , Issue.6 , pp. 40-48
    • Ergenç, T.1    Weber, G.-W.2
  • 24
    • 23044514669 scopus 로고    scopus 로고
    • Epigenetic differences arise during the lifetime of monozygotic twins
    • M.F. Fraga, et al., Epigenetic differences arise during the lifetime of monozygotic twins, PNAS 102 (2005), pp. 10604-10609.
    • (2005) PNAS , vol.102 , pp. 10604-10609
    • Fraga, M.F.1
  • 25
    • 33846012743 scopus 로고    scopus 로고
    • Genetic networks and anticipation of gene expression patterns, in: Computing Anticipatory Systems: CASYS(92)03-Sixth International Conference
    • 718 (2004) pp
    • J. Gebert, et al., Genetic networks and anticipation of gene expression patterns, in: Computing Anticipatory Systems: CASYS(92)03-Sixth International Conference, AIP Conference Proceedings 718 (2004) pp. 474-485.
    • AIP Conference Proceedings , pp. 474-485
    • Gebert, J.1
  • 26
    • 33644966162 scopus 로고    scopus 로고
    • An algorithm to analyze stability of gene-expression pattern, in special issue Discrete Mathematics and Data Mining II of Discrete Applied Mathematics 154, 7, M
    • Boros, P.L. Hammer, and A. Kogan, guest eds, Elsevier, Amsterdam
    • _, An algorithm to analyze stability of gene-expression pattern, in special issue Discrete Mathematics and Data Mining II of Discrete Applied Mathematics 154, 7, M. Anthony, E. Boros, P.L. Hammer, and A. Kogan, guest eds., Elsevier, Amsterdam, 2006, pp. 1140-1156.
    • (2006) Anthony, E , pp. 1140-1156
    • Gebert, J.1
  • 27
    • 40549090774 scopus 로고    scopus 로고
    • Analyzing and optimizing genetic network structure via path-finding
    • J. Gebert, et al., Analyzing and optimizing genetic network structure via path-finding, J. Comput. Tech. 9(3) (2004), pp. 3-12.
    • (2004) J. Comput. Tech , vol.9 , Issue.3 , pp. 3-12
    • Gebert, J.1
  • 28
    • 40549130908 scopus 로고    scopus 로고
    • Inference of gene expression patterns by using a hybrid system formulation - an algorithmic approach to local state transition matrices
    • Science I, G.E. Lasker and D.M. Dubois, eds, IIAS International Institute for Advanced Studies, Windsor, Ontario
    • J. Gebert, et al., Inference of gene expression patterns by using a hybrid system formulation - an algorithmic approach to local state transition matrices, in Anticipative and Predictive Models in Systems Science I, G.E. Lasker and D.M. Dubois, eds., IIAS (International Institute for Advanced Studies), Windsor, Ontario, 2004, pp. 63-66.
    • (2004) Anticipative and Predictive Models in Systems , pp. 63-66
    • Gebert, J.1
  • 29
    • 33845970589 scopus 로고    scopus 로고
    • J. Gebert and N. Radde, A new approach for modeling procaryotic biochemical networks with differential equations, CASYS'05, Seventh International Conference on Computing Anticipatory Systems, Liege, Belgium, August, 2005, D. Dubois, ed. Liege, Belgium, August, 2005, AIP Conference Proceedings, Melville, New York, 839 (2006) pp. 526-533.
    • J. Gebert and N. Radde, A new approach for modeling procaryotic biochemical networks with differential equations, CASYS'05, Seventh International Conference on Computing Anticipatory Systems, Liege, Belgium, August, 2005, D. Dubois, ed. Liege, Belgium, August, 2005, AIP Conference Proceedings, Melville, New York, 839 (2006) pp. 526-533.
  • 31
    • 33947685522 scopus 로고    scopus 로고
    • Modelling gene regulatory networks with piecewise linear differential equations, special issue (feature cluster) Challenges of Continuous Optimization in Theory and Applications of Eur
    • J. Gebert, N. Radde, and G.-W. Weber, Modelling gene regulatory networks with piecewise linear differential equations, special issue (feature cluster) Challenges of Continuous Optimization in Theory and Applications of Eur. J. Oper. Res. 181 (3) (2007), pp. 1148-1165.
    • (2007) J. Oper. Res , vol.181 , Issue.3 , pp. 1148-1165
    • Gebert, J.1    Radde, N.2    Weber, G.-W.3
  • 32
    • 0037126028 scopus 로고    scopus 로고
    • Physical constraints and functional characteristics of transcription factor-dna interaction
    • U. Gerland, et al., Physical constraints and functional characteristics of transcription factor-dna interaction, Proc. Natl. Acad. Sci. USA 99 (2002), pp. 12015-12020.
    • (2002) Proc. Natl. Acad. Sci. USA , vol.99 , pp. 12015-12020
    • Gerland, U.1
  • 33
    • 0037173615 scopus 로고    scopus 로고
    • (73 coauthors), Functional profiling of the Saccharomyces cerevisiae genome
    • G. Giaever, et al., (73 coauthors), Functional profiling of the Saccharomyces cerevisiae genome, Nature 418 (2002), pp. 387-391.
    • (2002) Nature , vol.418 , pp. 387-391
    • Giaever, G.1
  • 34
    • 0036578654 scopus 로고    scopus 로고
    • Topological and causal structure of the yeast -transcriptional regulatory network
    • N. Guelzim, et al., Topological and causal structure of the yeast -transcriptional regulatory network, Nature Genet. 31 (2002), pp. 64-68.
    • (2002) Nature Genet , vol.31 , pp. 64-68
    • Guelzim, N.1
  • 37
    • 0003684449 scopus 로고    scopus 로고
    • The Elements of Statistical Learning - Data Mining, Inference and Prediction
    • New York
    • T. Hastie, R. Tibshirani, and J. Freedman, The Elements of Statistical Learning - Data Mining, Inference and Prediction, Springer Series in Statistics, New York, 2001.
    • (2001) Springer Series in Statistics
    • Hastie, T.1    Tibshirani, R.2    Freedman, J.3
  • 40
    • 0043130707 scopus 로고    scopus 로고
    • Inferring gene regulatory networks from time-ordered gene expression data of Bacillus subtilis using differential equations
    • M.D. Hoon, et al., Inferring gene regulatory networks from time-ordered gene expression data of Bacillus subtilis using differential equations, in Proc. Pacific Symposium on Biocomputing (2003) pp. 7-28.
    • (2003) Proc. Pacific Symposium on Biocomputing , pp. 7-28
    • Hoon, M.D.1
  • 41
    • 0032809387 scopus 로고    scopus 로고
    • Gene expression profiling, genetic networks and cellular states: An integrating concept for tumorigenesis and drug discovery
    • S. Huang, Gene expression profiling, genetic networks and cellular states: an integrating concept for tumorigenesis and drug discovery, J. Mol. Med. 77 (1999), pp. 469-480.
    • (1999) J. Mol. Med , vol.77 , pp. 469-480
    • Huang, S.1
  • 42
    • 0033642067 scopus 로고    scopus 로고
    • Discovery of regulatory interaction through perturbation: Inference and experimental design
    • T.E. Ideker, V. Thorsson, and R.M. Karp, Discovery of regulatory interaction through perturbation: inference and experimental design, Pac. Symp. Biocomput. 5 (2000), pp. 302-313.
    • (2000) Pac. Symp. Biocomput , vol.5 , pp. 302-313
    • Ideker, T.E.1    Thorsson, V.2    Karp, R.M.3
  • 44
    • 54249116230 scopus 로고
    • Genetic regulatory mechanisms in the synthesis of proteins
    • F. Jacob and J. Monod, Genetic regulatory mechanisms in the synthesis of proteins, J. Mol. Biol. 3 (1961), pp. 318-356.
    • (1961) J. Mol. Biol , vol.3 , pp. 318-356
    • Jacob, F.1    Monod, J.2
  • 46
    • 0026835377 scopus 로고
    • Semi-infinite optimization: Structure and stability of the feasible set
    • H.Th. Jongen, F. Twilt, and G.-W. Weber, Semi-infinite optimization: Structure and stability of the feasible set, J. Opt. Theory Appl. 72 (1992), pp. 529-552.
    • (1992) J. Opt. Theory Appl , vol.72 , pp. 529-552
    • Jongen, H.T.1    Twilt, F.2    Weber, G.-W.3
  • 47
    • 0012493186 scopus 로고
    • On parametric nonlinear programming
    • H.Th. Jongen and G.-W. Weber, On parametric nonlinear programming, Ann. Oper. Res. 27 (1990), pp. 253-284.
    • (1990) Ann. Oper. Res , vol.27 , pp. 253-284
    • Jongen, H.T.1    Weber, G.-W.2
  • 48
    • 0013467565 scopus 로고
    • Nonconvex optimization and its structural frontiers
    • Modern Methods in Optimization, W. Krabs and J. Zowe, eds
    • _, Nonconvex optimization and its structural frontiers, in Modern Methods in Optimization, W. Krabs and J. Zowe, eds., Lecture Notes im Econom. and Math. Systems 378 (1992) pp. 151-203.
    • (1992) Lecture Notes im Econom. and Math. Systems , vol.378 , pp. 151-203
    • Jongen, H.T.1    Weber, G.-W.2
  • 49
    • 0013468401 scopus 로고
    • Nonlinear optimization: Characterization of structural stability
    • _, Nonlinear optimization: Characterization of structural stability, J. Global Optimization 1 (1991), pp. 47-64.
    • (1991) J. Global Optimization , vol.1 , pp. 47-64
    • Jongen, H.T.1    Weber, G.-W.2
  • 50
    • 0000016156 scopus 로고    scopus 로고
    • Generalized semi-infinite optimization: A first order optimality condition and examples
    • H.Th. Jongen, J.-J. Rückmann, and O. Stein, Generalized semi-infinite optimization: a first order optimality condition and examples, Math. Program. 83 (1998), pp. 145-158.
    • (1998) Math. Program , vol.83 , pp. 145-158
    • Jongen, H.T.1    Rückmann, J.-J.2    Stein, O.3
  • 51
    • 0036862451 scopus 로고    scopus 로고
    • Cardiovascular and diabetes mortality determined by nutrition during parents and grandparents slow growth period
    • G. Kaati, L. Bygren, and S. Edvinsson, Cardiovascular and diabetes mortality determined by nutrition during parents and grandparents slow growth period, Eur. J. Hum. Gene. 10 (2002), pp. 682-688.
    • (2002) Eur. J. Hum. Gene , vol.10 , pp. 682-688
    • Kaati, G.1    Bygren, L.2    Edvinsson, S.3
  • 54
    • 40549130907 scopus 로고    scopus 로고
    • A. Nemirovski, Five Lectures on Modern Convex Optimization, C.O.R.E. Summer School on Modern Convex Optimization, August 26-30, 2002; http://iew3.technion.ac.il/Labs/Opt/opt/LN/Final.pdf
    • A. Nemirovski, Five Lectures on Modern Convex Optimization, C.O.R.E. Summer School on Modern Convex Optimization, August 26-30, 2002; http://iew3.technion.ac.il/Labs/Opt/opt/LN/Final.pdf
  • 55
    • 24344499722 scopus 로고    scopus 로고
    • A survey on piecewise-linear models of regulatory dynamical systems
    • H. Öktem, A survey on piecewise-linear models of regulatory dynamical systems, Nonlinear Anal. 63 (2005), pp. 336-349.
    • (2005) Nonlinear Anal , vol.63 , pp. 336-349
    • Öktem, H.1
  • 58
    • 40549116188 scopus 로고    scopus 로고
    • Optimization of a time-discrete nonlinear dynamical system from a problem of ecology - an analytical and numerical approach
    • S. Pickl and G.-W. Weber, Optimization of a time-discrete nonlinear dynamical system from a problem of ecology - an analytical and numerical approach, J. Comput. Tech. 6(1) (2001), pp. 43-52.
    • (2001) J. Comput. Tech , vol.6 , Issue.1 , pp. 43-52
    • Pickl, S.1    Weber, G.-W.2
  • 59
    • 40549136383 scopus 로고    scopus 로고
    • S. Pickl and G.-W. Weber, Optimal control of heating processes - with special emphasis on earth warming, in: Operations Research Proceedings 2001, P. Chamoni, R. Leisten, Martin, J. Minnemann, and H. Stadler, eds., 2002, pp. 247-254.
    • S. Pickl and G.-W. Weber, Optimal control of heating processes - with special emphasis on earth warming, in: Operations Research Proceedings 2001, P. Chamoni, R. Leisten, Martin, J. Minnemann, and H. Stadler, eds., 2002, pp. 247-254.
  • 61
    • 33750425792 scopus 로고    scopus 로고
    • Systematic component selection for gene-network refinement
    • N. Radde, J. Gebert, and Ch.V. Forst, Systematic component selection for gene-network refinement, Bioinformatics 22(21) (2006), pp. 2674-2680.
    • (2006) Bioinformatics , vol.22 , Issue.21 , pp. 2674-2680
    • Radde, N.1    Gebert, J.2    Forst, C.V.3
  • 64
    • 0034863951 scopus 로고    scopus 로고
    • Inferring a system of differential equations for a gene regulatory network by using genetic programming
    • E. Sakamoto and H. Iba, Inferring a system of differential equations for a gene regulatory network by using genetic programming, in Proc. Congress on Evolutionary Computation (2001) pp. 720-726.
    • (2001) Proc. Congress on Evolutionary Computation , pp. 720-726
    • Sakamoto, E.1    Iba, H.2
  • 65
    • 0003983441 scopus 로고    scopus 로고
    • Oxford University Press, Oxford
    • M. Schena, DNA Microarrays, Oxford University Press, Oxford, 2000.
    • (2000) DNA Microarrays
    • Schena, M.1
  • 70
    • 40549139973 scopus 로고    scopus 로고
    • M. Taştan, S.W. Pickl, and G.-W. Weber, Mathematical modeling and stability analysis of geneexpression patterns in an extended space and with Runge-Kutta discretization, in the proceedings of Operations Research 2005, Bremen, September 2005, 2006, pp. 443-450.
    • M. Taştan, S.W. Pickl, and G.-W. Weber, Mathematical modeling and stability analysis of geneexpression patterns in an extended space and with Runge-Kutta discretization, in the proceedings of Operations Research 2005, Bremen, September 2005, 2006, pp. 443-450.
  • 71
    • 35148882297 scopus 로고    scopus 로고
    • New approaches to regression in financial mathematics by additive models, to appear in
    • P. Taylan and G.-W. Weber, New approaches to regression in financial mathematics by additive models, to appear in J. Comput. Tech. 12 (2007), pp. 3-22.
    • (2007) J. Comput. Tech , vol.12 , pp. 3-22
    • Taylan, P.1    Weber, G.-W.2
  • 72
    • 40549105609 scopus 로고    scopus 로고
    • P. Taylan, G.-W. Weber, and A. Beck, New approaches to regression by generalized additive models and continuous optimization for modern applications in finance, science and technology, preprint no. 56, Institute of Applied Mathematics, METU, 2006, submitted for the special issue of Optimization at the occasion of the 5th Ballarat Workshop on Global and Non-Smooth Optimization: Theory, Methods and Applications, November 28-30, 2006.
    • P. Taylan, G.-W. Weber, and A. Beck, New approaches to regression by generalized additive models and continuous optimization for modern applications in finance, science and technology, preprint no. 56, Institute of Applied Mathematics, METU, 2006, submitted for the special issue of Optimization at the occasion of the 5th Ballarat Workshop on Global and Non-Smooth Optimization: Theory, Methods and Applications, November 28-30, 2006.
  • 73
    • 40549122179 scopus 로고    scopus 로고
    • On semi-infinite optimization of anticipatory systems and their modern applications
    • Stockholm, Sweden, May 15-19
    • A. Tezel, et al., On semi-infinite optimization of anticipatory systems and their modern applications, presentation given at 8th SIAM Conference on Optimization, Stockholm, Sweden, May 15-19, 2005.
    • (2005) presentation given at 8th SIAM Conference on Optimization
    • Tezel, A.1
  • 74
    • 40549130567 scopus 로고    scopus 로고
    • An algorithmic approach to analyze genetic networks and biological energy production
    • Operational research meets biology:, to appear in
    • Ö. Ugur, et al., Operational research meets biology: An algorithmic approach to analyze genetic networks and biological energy production, to appear in Optimization.
    • Optimization
    • Ugur, O.1
  • 75
    • 40549131767 scopus 로고    scopus 로고
    • J. von Neumann, Functional Operators, II. The Geometry of Orthogonal Spaces, Princeton University Press, Princeton NJ, 1950; Ann. Math. Stud. 22, reprint of mimeographed lecture notes first distributed in 1933.
    • J. von Neumann, Functional Operators, Vol. II. The Geometry of Orthogonal Spaces, Princeton University Press, Princeton NJ, 1950; Ann. Math. Stud. 22, reprint of mimeographed lecture notes first distributed in 1933.
  • 76
    • 40549110795 scopus 로고    scopus 로고
    • G.-W. Weber, in Charakterisierung struktureller Stabilität in der nichtlinearen Optimierung, Aachener Beiträge zur Mathematik 5, H.H. Bock, H.Th. Jongen, and W. Plesken, eds., Augustinus publishing house, now: Mainz publishing house, Aachen, 1992.
    • G.-W. Weber, in Charakterisierung struktureller Stabilität in der nichtlinearen Optimierung, Aachener Beiträge zur Mathematik 5, H.H. Bock, H.Th. Jongen, and W. Plesken, eds., Augustinus publishing house, now: Mainz publishing house, Aachen, 1992.
  • 77
    • 0013533255 scopus 로고    scopus 로고
    • Generalized Semi-infinite Optimization: On Iteration Procedures and Topological Aspects
    • B. Kröplin, S. Rudolph, and S. Brückner, eds, Institute for Statics and Dynamics of Aerospace Structures, Stuttgart
    • G.-W. Weber, Generalized Semi-infinite Optimization: On Iteration Procedures and Topological Aspects, in it Similarity Methods. International Workshop, B. Kröplin, S. Rudolph, and S. Brückner, eds., Institute for Statics and Dynamics of Aerospace Structures, Stuttgart, 1998, pp. 281-309.
    • (1998) it Similarity Methods. International Workshop , pp. 281-309
    • Weber, G.-W.1
  • 78
    • 0013534981 scopus 로고    scopus 로고
    • Generalized semi-infinite optimization: On some foundations
    • G.-W. Weber, Generalized semi-infinite optimization: on some foundations, J. Comput. Tech. 4(3) (1999), pp. 41-61.
    • (1999) J. Comput. Tech , vol.4 , Issue.3 , pp. 41-61
    • Weber, G.-W.1
  • 80
    • 40549104347 scopus 로고    scopus 로고
    • Modelling and prediction of gene patterns, Joint GATA-METU Seminar in BioMedicine and -Technology, Ankara
    • January 18, GATA; Medical School of Turkish Armed Forced
    • G.-W. Weber, Modelling and prediction of gene patterns, Joint GATA-METU Seminar in BioMedicine and -Technology, Ankara, January 18, 2006, Gülhane Askeri Tip Akademisi, (GATA; Medical School of Turkish Armed Forced).
    • (2006) Gülhane Askeri Tip Akademisi
    • Weber, G.-W.1
  • 81
    • 40549096577 scopus 로고    scopus 로고
    • G.-W. Weber, S.Z. Alparslan-Gök, and B. Soyler, A new mathematical approach in environmental and life sciences: gene-environment networks and their dynamics, preprint no. 69 at Institute of Applied Mathematics, METU, 2006, invited paper submitted to Environmental Modelling & Assessment.
    • G.-W. Weber, S.Z. Alparslan-Gök, and B. Soyler, A new mathematical approach in environmental and life sciences: gene-environment networks and their dynamics, preprint no. 69 at Institute of Applied Mathematics, METU, 2006, invited paper submitted to Environmental Modelling & Assessment.
  • 83
    • 0014974440 scopus 로고
    • On the relation between effector concentration and the rate of induced enzyme synthesis
    • G. Yagil and E. Yagil, On the relation between effector concentration and the rate of induced enzyme synthesis, Biophys. J. 11 (1971), pp. 11-27.
    • (1971) Biophys. J , vol.11 , pp. 11-27
    • Yagil, G.1    Yagil, E.2
  • 84
    • 0022327612 scopus 로고
    • Steroid receptor regulated transcription of specific genes and gene networks
    • K.R. Yamamoto, Steroid receptor regulated transcription of specific genes and gene networks, Ann. Rev. Genetics 19 (1985), pp. 209-252.
    • (1985) Ann. Rev. Genetics , vol.19 , pp. 209-252
    • Yamamoto, K.R.1
  • 86
    • 40549128540 scopus 로고    scopus 로고
    • Mathematical modeling and approximation of gene expression patterns and gene networks
    • F. Fleuren, D. den Hertog, and P. Kort, eds, Springer, Berlin
    • F.B. YIlmaz, H. Öktem, and G.-W. Weber, Mathematical modeling and approximation of gene expression patterns and gene networks, in Operations Research Proceedings, F. Fleuren, D. den Hertog, and P. Kort, eds., Springer, Berlin, 2005, pp. 280-287.
    • (2005) Operations Research Proceedings , pp. 280-287
    • YIlmaz, F.B.1    Öktem, H.2    Weber, G.-W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.