Network complexity

Broomhead, D. S. Lowe, D. Multivariable functional interpolation and adaptive networks. Complex Syst. 1988, 2,312-355. 

R.J. Pei, Z.L. Cheng, E.K. Wang, and X.R. Yang, Amplification of antigen-antibody interactions based on biotin labeled protein—streptavidin network complex using impedance spectroscopy. Biosens. Bioelectron. 16, 355—361 (2001). 

Constraints (3.34) to (3.36) fix the number of sites that produce a product in parallel in any given time period between a lower and an upper bound. The intention is to be able to limit the network complexity while at the same time ensuring that supply of important products does not depend on a single production site. Restriction (3.36) is required to ensure that the "product is produced at site in time period" variable v is set to zero for sites where the product is not produced because no costs are associated with the allocation decision and hence no link to the objective function exists. 

Table 19. Effect of network complexity on calculation times...

Biochemical networks, genetic networks, complex behavior... 

Pig. 26. Part of the rhomboidally distorted cubic three-dimensional network complex of the methylsquarate Ugand in the Eu(III) complex Eu[/it-(CH3C403)3][(H20)2] (135). 

In a network of autocatalytic feedback loops (of which we here do consider only those processes related to Mg) control functions which give rise to either autocatalyst supply (sequestration from the enviromnent) or loss (abstraction or precipitation by parasitic byproducts) several different chemical species may interact or cooperate to achieve the above kinds of control (Eiswirth et al. 1991b), two such side-loops cause somewhat increased topological network complexity rather than fundamentally changing network dynamics. 

The pore network complexity is defined by penetration thresholds term and the time term of the experiment. In order to calculate the complexity of pore network we analyse the... 

Parameters of the complexity. Two types of parameters from time-controlled injection of mercury can be used to characterize the pore network complexity, a- Parameters related to the penetration thresholds term ... 

The pore network complexity depends on both the pore volume and different penetration thresholds numbers. Figure 8 shows the correlation between the total number of penetration thresholds and the final time tf of saturation of porous space. The higher penetration thresholds number is, the higher is the time tf of injection. Figure 9 presents a good correlation between the total number of penetration thresholds and injected mercury volume in pore space. When the complexity of pore network increases (high... 

The Mctalaboratory environinent facilitates these tasks by allowing the investigators to use on the network complex packages, to deal with the various steps implemented and maintained in a proper environment, to collect the necessary information from specialized data banks on the web, to perform locally the necessary statistical manipulations as well as to render the results using graphics, animation and virtual reality techniques. 

Building blocks, biological pathways, and networks Complex elements—from individual genes to entire organs— work together in a feat of biological teamwork to promote normal development and sustain health. These systems... 

Broomhead, D.S., and Lowe, D., Multi-variable Eunctional Interpolation and Adaptive Networks, Complex Systems, 2, 321, 1988. 

Bonchev, D. and Buck, G.A. (2005) Quantitative measures of network complexity, in Complexity in Chemistry Biology and Ecology (eds D. Bonchev and D.H. Rouvray), Springer, New York, pp. 191-235. 

Somogyi R. Sniegoski C. (1996) Modeling the Complexity of Genetic Networks, Complexity 1(6), 45-63. 

Zhou et al. (1991) modified this approach by using a linear cost function emd concluded that this modification not only produced better results but also reduced network complexity. Other works related to using the Hopfield network for the scheduling problem include Zhang et ed. (1991) and Arizono et al. (1992). 

Acuna, V, Chierichetti, F., Lacroix, V., Marchetti-Spaccamela, A., Sagot, M.F., and Stougie, L. (2009) Modes and cuts in metabolic networks Complexity and algorithms. Biosystems, 95 (1), 51-60. 

For a given two-terminal network, complex impedance is defined as relation of complex voltage U values and that voltage-induced current I ... 

The difference in the ratio is accounted for as follows. Two coordination sites are available with Pd(OAc)2 or PdCl2(MeCN)2, but the complex 3 bearing the tri-dentate ligand has only one free coordination site. A cross-linked polyaniline network complex 4 is considered to be formed in the former case. On the contrary, the latter complexation affords the single-strand conjugated complex 5. Thus, a hybrid system composed of transition metals and 7C-conjugated polymers is controlled structurally (Fig. 3.11). 

Digital microfiuidics is based upon the micromanipulation of discontinuous fluid droplets within a reconfigurable network. Complex instructions can be programmed by combining the basic operations of droplet formation, translocation, splitting, and merging. 

This class of models moves towards greater network complexity and realism by introducing competitive dynamics at the manufacturer level, although still within a single channel type strategy. Choi (1991) examines two manufacturers whose partially substitutable products are sold through a common retailer, while in Choi (1996) and Trivedi (1998) the two manufacturers also use a second common retailer that price-competes with the first. These study the effect of decision structure (channel leadership), channel interaction, and product differentiation. O Brien and Shaffer (1993) address the question of... 

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