Mathematical foundations for efficient structural controllability and observability analysis of complex systems

The relationship between structural controllability and observability of complex systems is studied. Algebraic and graph theoretic tools are combined to prove the extent of some controller/observer duality results. Two types of control design problems are addressed and some fundamental theoretical results are provided. In addition new algorithms are presented to compute optimal solutions for monitoring large scale real networks.

Structural and Functional Analysis of a Novel Coiled-Coil Protein Involved in Ypt6 GTPase-regulated Protein Transport in Yeast

The yeast transport GTPase Ypt6p is dispensable for cell growth and secretion, but its lack results in temperature sensitivity and missorting of vacuolar carboxypeptidase Y. We previously identified four yeast genes (SYS1, 2, 3, and 5) that on high expression suppressed these phenotypic alterations. SYS3 encodes a 105-kDa protein with a predicted high α-helical content. It is related to a variety of mammalian Golgi-associated proteins and to the yeast Uso1p, an essential protein involved in docking of endoplasmic reticulum–derived vesicles to the cis-Golgi. Like Uso1p, Sys3p is predominatly cytosolic. According to gel chromatographic, two-hybrid, and chemical cross-linking analyses, Sys3p forms dimers and larger protein complexes. Its loss of function results in partial missorting of carboxypeptidase Y. Double disruptions of SYS3 and YPT6 lead to a significant growth inhibition of the mutant cells, to a massive accumulation of 40- to 50-nm vesicles, to an aggravation of vacuolar protein missorting, and to a defect in α-pheromone processing apparently attributable to a perturbation of protease Kex2p cycling between the Golgi and a post-Golgi compartment. The results of this study suggest that Sys3p, like Ypt6p, acts in vesicular transport (presumably at a vesicle-docking stage) between an endosomal compartment and the most distal Golgi compartment.

Phylogenetic analysis of tmRNA genes within a bacterial subgroup reveals a specific structural signature

Bacterial tmRNA mediates a trans-translation reaction, which permits the recycling of stalled ribosomes and probably also contributes to the regulated expression of a subset of genes. Its action results in the addition of a small number of C-terminal amino acids to protein whose synthesis had stalled and these constitute a proteolytic recognition tag for the degradation of these incompletely synthesized proteins. Previous work has identified pseudoknots and stem–loops that are widely conserved in divergent bacteria. In the present work an alignment of tmRNA gene sequences within 13 β-proteobacteria reveals an additional sub-structure specific for this bacterial group. This sub-structure is in pseudoknot Pk2, and consists of one to two additional stem–loop(s) capped by stable GNRA tetraloop(s). Three-dimensional models of tmRNA pseudoknot 2 (Pk2) containing various topological versions of the additional sub-structure suggest that the sub-structures likely point away from the core of the RNA, containing both the tRNA and the mRNA domains. A putative tertiary interaction has also been identified.

Mutational analysis of NM23-H2/NDP kinase identifies the structural domains critical to recognition of a c-myc regulatory element.

NM23-H2, a presumed regulator of tumor metastasis in humans, is a hexameric protein with both enzymatic (NDP kinase) and regulatory (transcriptional activation) activity. While the structure and catalytic mechanisms have been well characterized, the mode of DNA binding is not known. We examined this latter function in a site-directed mutational study and identified residues and domains essential for the recognition of a c-myc regulatory sequence. Three amino acids, Arg-34, Asn-69, and Lys-135, were found among 30 possibilities to be critical for DNA binding. Two of these, Asn-69 and Lys-135, are not conserved between NM23 variants differing in DNA-binding potential, suggesting that DNA recognition resides partly in nonconserved amino acids. All three DNA-binding defective mutant proteins are active enzymatically and appear to be stable hexamers, suggesting that they perform at the level of DNA recognition and that separate functional domains exist for enzyme catalysis and DNA binding. In the context of the known crystal structure of NM23-H2, the DNA-binding residues are located within distinct structural motifs in the monomer, which are exposed to the surface near the 2-fold axis of adjacent subunits in the hexamer. These findings are explained by a model in which NM23-H2 binds DNA with a combinatorial surface consisting of the "outer" face of the dimer. Chemical crosslinking data support a dimeric DNA-binding mode by NM23-H2.

Comparative analysis of ribonuclease P RNA using gene sequences from natural microbial populations reveals tertiary structural elements.

PCR amplification of template DNAs extracted from mixed, naturally occurring microbial populations, using oligonucleotide primers complementary to highly conserved sequences, was used to obtain a large collection of diverse RNase P RNA-encoding genes. An alignment of these sequences was used in a comparative analysis of RNase P RNA secondary and tertiary structure. The new sequences confirm the secondary structure model based on sequences from cultivated organisms (with minor alterations in helices P12 and P18), providing additional support for nearly every base pair. Analysis of sequence covariation using the entire RNase P RNA data set reveals elements of tertiary structure in the RNA; the third nucleotides (underlined) of the GNRA tetraloops L14 and L18 are seen to interact with adjacent Watson-Crick base pairs in helix P8, forming A:G/C or G:A/U base triples. These experiments demonstrate one way in which the enormous diversity of natural microbial populations can be used to elucidate molecular structure through comparative analysis.

Structural and functional analysis of pp70S6k.

The pp70/85-kDa S6 kinases, collectively referred to as pp70S6k, are thought to participate in transit through the G1 phase of the cell cycle. pp70S6k regulates the phosphorylation of the 40S ribosomal protein S6 and the transcription factor CREM tau. pp70S6k is regulated by serine/threonine phosphorylation, and although 1-phosphatidylinositol 3-kinase and phospholipase C have been implicated as upstream regulators, the mechanism of activation and identity of the upstream pp70S6k kinases remain unknown. To improve our understanding of how this mitogen-stimulated protein kinase is regulated by growth factors and the immunosuppressant rapamycin, we have initiated a structure/function analysis of pp70S6k. Our results indicate that both the N and C termini participate in the complex regulation of pp70S6k activity.

Swapping structural determinants of ribonucleases: an energetic analysis of the hinge peptide 16-22.

Bovine seminal ribonuclease (BS-RNase) is a homodimeric enzyme strictly homologous to the pancreatic ribonuclease (RNase A). Native BS-RNase is an equilibrium mixture of two distinct dimers differing in the interchange of the N-terminal segments and in their biological properties. The loop 16-22 plays a fundamental role on the relative stability of the two isomers. Both the primary and tertiary structures of the RNase A differ substantially from those of the seminal ribonuclease in the loop region 16-22. To analyze the possible stable conformations of this loop in both enzymes, structure predictions have been attempted, according to a procedure described by Palmer and Scheraga [Palmer, K. A. & Scheraga, H. A. (1992) J. Comput. Chem. 13, 329-350]. Results compare well with experimental x-ray structures and clarify the structural determinants that are responsible for the swapping of the N-terminal domains and for the peculiar properties of BS-RNase. Minimal modifications of RNase A sequence needed to form a stable swapped dimer are also predicted.

The European Union’s Rule of Law Promotion in its Neighbourhood: A Structural Foreign Policy Analysis. EU Diplomacy Paper 04/2013

The promotion of the rule of law has become an important dimension of the European Union’s relations towards its neighbourhood. The rule of law is, however, a complex and multifaceted notion and the EU’s rule of law promotion policy has often been criticised for being either inefficient or self-interested. This collection of short papers offers an analysis of various case studies using the analytical framework of structural foreign policy (SFP) developed by Stephan Keukeleire. It aims to promote an original analytical perspective on the EU’s foreign policy but also to critically test and further develop the SFP analytical framework. The contributions of this collection consist of the shortened version of students’ Master’s theses written at the College of Europe during the academic year 2011-2012 in the framework of the course “The EU as a Foreign Policy Actor” taught by Stephan Keukeleire, Chairholder of the TOTAL Chair of EU Foreign Policy in the Department of EU International Relations and Diplomacy Studies.

Shifting Between Hegemony and Dominance? A Neo-Gramscian Analysis of the EU as a Structural Foreign Policy Actor: The Singular Case of the Cariforum-EU Economic Partnership Agreement. Bruges Regional Integration & Global Governance Paper 01/2014

The groundbreaking scope of the Economic Partnership Agreement (EPA) between the European Union (EU) and Cariforum (CF) irrefutably marks a substantive shift in trade relations between the regions and also has far-reaching implications across several sectors and levels. Supplementing the framework of analysis of Structural Foreign Policy (SFP) with neo-Gramscian theory allows for a thorough investigation into the details of structural embeddedness based on the EU's historic directionality towards the Caribbean region; notably, encouraging integration into the global capitalist economy by adapting to and adopting the ideals of neoliberal economics. Whilst the Caribbean – as the first and only signatory of a ‘full’ EPA – may be considered the case par excellence of the success of the EPAs, this paper demonstrates that there is no cause-effect relationship between the singular case of the ‘full’ CF-EU EPA and the success of the EPA policy towards the ACP in general. The research detailed throughout this paper responds to two SFP-based questions: (1) To what extent is the EPA a SFP tool aimed at influencing and shaping the structures in the Caribbean? (2) To what extent is the internalisation of this process reflective of the EU as a hegemonic SFP actor vis-à-vis the Caribbean? This paper affirms both the role of the EU as a hegemonic SFP actor and the EPA as a hegemonic SFP tool. Research into the negotiation, agreement and controversy that surrounds every stage of the EPA confirmed that through modern diplomacy and an evolution in relations, consensus is at the fore of contemporary EU-Caribbean relations. Whilst at once dealing with the singular case of the Caribbean, the author offers a nuanced approach beyond 'EU navel-gazing' by incorporating an ‘outside-in’ perspective, which thereafter could be applied to EU-ACP relations and the North-South dialogue in general.

The larger forms of musical composition; an exhaustive explanation of the variations, rondos, and sonata designs, for the general student of musical analysis, and for the special student of structural composition,

"A sequel to the Homophonic forms and Applied counterpoint."--Pref.