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The simulation of gene knockout in scalefree random Boolean models of genetic networks
Bounding the bias of treelike sampling in IP topologies
1.  Department of Mathematics, BarIlan University, RamatGan 52900, Israel 
2.  School of Electrical Engineering, Tel Aviv University, Ramat Aviv 69978, Israel, Israel 
[1] 
D. Alderson, H. Chang, M. Roughan, S. Uhlig, W. Willinger. The many facets of internet topology and traffic. Networks & Heterogeneous Media, 2006, 1 (4) : 569600. doi: 10.3934/nhm.2006.1.569 
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Shuping Li, Zhen Jin. Impacts of cluster on network topology structure and epidemic spreading. Discrete & Continuous Dynamical Systems  B, 2017, 22 (10) : 37493770. doi: 10.3934/dcdsb.2017187 
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T. S. Evans, A. D. K. Plato. Network rewiring models. Networks & Heterogeneous Media, 2008, 3 (2) : 221238. doi: 10.3934/nhm.2008.3.221 
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Inom Mirzaev, David M. Bortz. A numerical framework for computing steady states of structured population models and their stability. Mathematical Biosciences & Engineering, 2017, 14 (4) : 933952. doi: 10.3934/mbe.2017049 
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Alberto Bressan, Khai T. Nguyen. Conservation law models for traffic flow on a network of roads. Networks & Heterogeneous Media, 2015, 10 (2) : 255293. doi: 10.3934/nhm.2015.10.255 
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Simone Göttlich, Stephan Knapp. SemiMarkovian capacities in production network models. Discrete & Continuous Dynamical Systems  B, 2017, 22 (9) : 32353258. doi: 10.3934/dcdsb.2017090 
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Claus Kirchner, Michael Herty, Simone Göttlich, Axel Klar. Optimal control for continuous supply network models. Networks & Heterogeneous Media, 2006, 1 (4) : 675688. doi: 10.3934/nhm.2006.1.675 
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Tanka Nath Dhamala. A survey on models and algorithms for discrete evacuation planning network problems. Journal of Industrial & Management Optimization, 2015, 11 (1) : 265289. doi: 10.3934/jimo.2015.11.265 
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Gunhild A. Reigstad. Numerical network models and entropy principles for isothermal junction flow. Networks & Heterogeneous Media, 2014, 9 (1) : 6595. doi: 10.3934/nhm.2014.9.65 
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Bruce Hughes. Geometric topology of stratified spaces. Electronic Research Announcements, 1996, 2: 7381. 
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Guizhen Cui, Wenjuan Peng, Lei Tan. On the topology of wandering Julia components. Discrete & Continuous Dynamical Systems  A, 2011, 29 (3) : 929952. doi: 10.3934/dcds.2011.29.929 
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Fengbo Hang, Fanghua Lin. Topology of Sobolev mappings IV. Discrete & Continuous Dynamical Systems  A, 2005, 13 (5) : 10971124. doi: 10.3934/dcds.2005.13.1097 
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Dengfeng Sun, Issam S. Strub, Alexandre M. Bayen. Comparison of the performance of four Eulerian network flow models for strategic air traffic management. Networks & Heterogeneous Media, 2007, 2 (4) : 569595. doi: 10.3934/nhm.2007.2.569 
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James C. Robinson. Computing inertial manifolds. Discrete & Continuous Dynamical Systems  A, 2002, 8 (4) : 815833. doi: 10.3934/dcds.2002.8.815 
[15] 
Shunfu Jin, Wuyi Yue, Zhanqiang Huo. Performance evaluation for connection oriented service in the next generation Internet. Numerical Algebra, Control & Optimization, 2011, 1 (4) : 749761. doi: 10.3934/naco.2011.1.749 
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Shu Zhang, Jian Xu. Timevarying delayed feedback control for an internet congestion control model. Discrete & Continuous Dynamical Systems  B, 2011, 16 (2) : 653668. doi: 10.3934/dcdsb.2011.16.653 
[17] 
Shuren Liu, Qiying Hu, Yifan Xu. Optimal inventory control with fixed ordering cost for selling by internet auctions. Journal of Industrial & Management Optimization, 2012, 8 (1) : 1940. doi: 10.3934/jimo.2012.8.19 
[18] 
Shu Zhang, Yuan Yuan. The Filippov equilibrium and sliding motion in an internet congestion control model. Discrete & Continuous Dynamical Systems  B, 2017, 22 (3) : 11891206. doi: 10.3934/dcdsb.2017058 
[19] 
Flavio Abdenur, Lorenzo J. Díaz. Pseudoorbit shadowing in the $C^1$ topology. Discrete & Continuous Dynamical Systems  A, 2007, 17 (2) : 223245. doi: 10.3934/dcds.2007.17.223 
[20] 
M. DelgadoTéllez, Alberto Ibort. On the geometry and topology of singular optimal control problems and their solutions. Conference Publications, 2003, 2003 (Special) : 223233. doi: 10.3934/proc.2003.2003.223 
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