Geometry and physics of catenanes applied to the study of DNA replication.

The concept of ideal geometric configurations was recently applied to the classification and characterization of various knots. Different knots in their ideal form (i.e., the one requiring the shortest length of a constant-diameter tube to form a given knot) were shown to have an overall compactness proportional to the time-averaged compactness of thermally agitated knotted polymers forming corresponding knots. This was useful for predicting the relative speed of electrophoretic migration of different DNA knots. Here we characterize the ideal geometric configurations of catenanes (called links by mathematicians), i.e., closed curves in space that are topologically linked to each other. We demonstrate that the ideal configurations of different catenanes show interrelations very similar to those observed in the ideal configurations of knots. By analyzing literature data on electrophoretic separations of the torus-type of DNA catenanes with increasing complexity, we observed that their electrophoretic migration is roughly proportional to the overall compactness of ideal representations of the corresponding catenanes. This correlation does not apply, however, to electrophoretic migration of certain replication intermediates, believed up to now to represent the simplest torus-type catenanes. We propose, therefore, that freshly replicated circular DNA molecules, in addition to forming regular catenanes, may also form hemicatenanes.

Construction and electrophoretic migration of single-stranded DNA knots and catenanes.

In recent years there has been growing interest in the question of how the particular topology of polymeric chains affects their overall dimensions and physical behavior. The majority of relevant studies are based on numerical simulation methods or analytical treatment; however, both these approaches depend on various assumptions and simplifications. Experimental verification is clearly needed but was hampered by practical difficulties in obtaining preparative amounts of knotted or catenated polymers with predefined topology and precisely set chain length. We introduce here an efficient method of production of various single-stranded DNA knots and catenanes that have the same global chain length. We also characterize electrophoretic migration of the produced single-stranded DNA knots and catenanes with increasing complexity.

Sedimentation and electrophoretic migration of DNA knots and catenanes.

Various site-specific recombination enzymes produce different types of knots or catenanes while acting on circular DNA in vitro and in vivo. By analysing the types of knots or links produced, it is possible to reconstruct the order of events during the reaction and to deduce the molecular "architecture" of the complexes that different enzymes form with DNA. Until recently it was necessary to use laborious electron microscopy methods to identify the types of knots or catenanes that migrate in different bands on the agarose gels used to analyse the products of the reaction. We reported recently that electrophoretic migration of different knots and catenanes formed on the same size DNA molecules is simply related to the average crossing number of the ideal representations of the corresponding knots and catenanes. Here we explain this relation by demonstrating that the expected sedimentation coefficient of randomly fluctuating knotted or catenated DNA molecules in solution shows approximately linear correlation with the average crossing number of ideal configurations of the corresponding knots or catenanes.

DNA supercoiling and its role in DNA decatenation and unknotting.

Chromosomal and plasmid DNA molecules in bacterial cells are maintained under torsional tension and are therefore supercoiled. With the exception of extreme thermophiles, supercoiling has a negative sign, which means that the torsional tension diminishes the DNA helicity and facilitates strand separation. In consequence, negative supercoiling aids such processes as DNA replication or transcription that require global- or local-strand separation. In extreme thermophiles, DNA is positively supercoiled which protects it from thermal denaturation. While the role of DNA supercoiling connected to the control of DNA stability, is thoroughly researched and subject of many reviews, a less known role of DNA supercoiling emerges and consists of aiding DNA topoisomerases in DNA decatenation and unknotting. Although DNA catenanes are natural intermediates in the process of DNA replication of circular DNA molecules, it is necessary that they become very efficiently decatenated, as otherwise the segregation of freshly replicated DNA molecules would be blocked. DNA knots arise as by-products of topoisomerase-mediated intramolecular passages that are needed to facilitate general DNA metabolism, including DNA replication, transcription or recombination. The formed knots are, however, very harmful for cells if not removed efficiently. Here, we overview the role of DNA supercoiling in DNA unknotting and decatenation.

Simulations of electrophoretic collisions of DNA knots with gel obstacles

Gel electrophoresis can be used to separate nicked circular DNA molecules of equal length but forming different knot types. At low electric fields, complex knots drift faster than simpler knots. However, at high electric field the opposite is the case and simpler knots migrate faster than more complex knots. Using Monte Carlo simulations we investigate the reasons of this reversal of relative order of electrophoretic mobility of DNA molecules forming different knot types. We observe that at high electric fields the simulated knotted molecules tend to hang over the gel fibres and require passing over a substantial energy barrier to slip over the impeding gel fibre. At low electric field the interactions of drifting molecules with the gel fibres are weak and there are no significant energy barriers that oppose the detachment of knotted molecules from transverse gel fibres.

Linear random knots and their scaling behavior

We present here a nonbiased probabilistic method that allows us to consistently analyze knottedness of linear random walks with up to several hundred noncorrelated steps. The method consists of analyzing the spectrum of knots formed by multiple closures of the same open walk through random points on a sphere enclosing the walk. Knottedness of individual "frozen" configurations of linear chains is therefore defined by a characteristic spectrum of realizable knots. We show that in the great majority of cases this method clearly defines the dominant knot type of a walk, i.e., the strongest component of the spectrum. In such cases, direct end-to-end closure creates a knot that usually coincides with the knot type that dominates the random closure spectrum. Interestingly, in a very small proportion of linear random walks, the knot type is not clearly defined. Such walks can be considered as residing in a border zone of the configuration space of two or more knot types. We also characterize the scaling behavior of linear random knots.

Interplay of DNA supercoiling and catenation during the segregation of sister duplexes.

The discrete regulation of supercoiling, catenation and knotting by DNA topoisomerases is well documented both in vivo and in vitro, but the interplay between them is still poorly understood. Here we studied DNA catenanes of bacterial plasmids arising as a result of DNA replication in Escherichia coli cells whose topoisomerase IV activity was inhibited. We combined high-resolution two-dimensional agarose gel electrophoresis with numerical simulations in order to better understand the relationship between the negative supercoiling of DNA generated by DNA gyrase and the DNA interlinking resulting from replication of circular DNA molecules. We showed that in those replication intermediates formed in vivo, catenation and negative supercoiling compete with each other. In interlinked molecules with high catenation numbers negative supercoiling is greatly limited. However, when interlinking decreases, as required for the segregation of newly replicated sister duplexes, their negative supercoiling increases. This observation indicates that negative supercoiling plays an active role during progressive decatenation of newly replicated DNA molecules in vivo.

A topological view of the replicon.

The replication of circular DNA faces topological obstacles that need to be overcome to allow the complete duplication and separation of newly replicated molecules. Small bacterial plasmids provide a perfect model system to study the interplay between DNA helicases, polymerases, topoisomerases and the overall architecture of partially replicated molecules. Recent studies have shown that partially replicated circular molecules have an amazing ability to form various types of structures (supercoils, precatenanes, knots and catenanes) that help to accommodate the dynamic interplay between duplex unwinding at the replication fork and DNA unlinking by topoisomerases.

Electrophoretic mobility of supercoiled, catenated and knotted DNA molecules.

We systematically varied conditions of two-dimensional (2D) agarose gel electrophoresis to optimize separation of DNA topoisomers that differ either by the extent of knotting, the extent of catenation or the extent of supercoiling. To this aim we compared electrophoretic behavior of three different families of DNA topoisomers: (i) supercoiled DNA molecules, where supercoiling covered the range extending from covalently closed relaxed up to naturally supercoiled DNA molecules; (ii) postreplicative catenanes with catenation number increasing from 1 to ∼15, where both catenated rings were nicked; (iii) knotted but nicked DNA molecules with a naturally arising spectrum of knots. For better comparison, we studied topoisomer families where each member had the same total molecular mass. For knotted and supercoiled molecules, we analyzed dimeric plasmids whereas catenanes were composed of monomeric forms of the same plasmid. We observed that catenated, knotted and supercoiled families of topoisomers showed different reactions to changes of agarose concentration and voltage during electrophoresis. These differences permitted us to optimize conditions for their separation and shed light on physical characteristics of these different types of DNA topoisomers during electrophoresis.

Big and little Meccano

The emergence of the mechanical bond during the past 25 years is giving chemistry a fillip in more ways than one. While its arrival on the scene is already impacting materials science and molecular nanotechnology, it is providing a new lease of life to chemical synthesis where mechanical bond formation Occurs as a consequence of the all-important templation Orchestrated by molecular recognition and self-assembly. The way in which covalent bond formation activates noncovalent bonding interactions, switching on molecular recognition that leads to self-assembly, and the template-directed synthesis of mechanically interlocked molecules-of which the so-called catenanes and rotaxanes may be regarded as the prototypes-has introduced a level of integration into chemical synthesis that has not previously been attained jointly at the supramolecular and molecular levels. The challenge now is to carry this I vel of integration during molecular synthesis beyond relatively small molecules into the realms of precisely functionalized extended molecular Structures and superstructures that perform functions in a collective manner as the key sources of instruction, activation, and performance in multi-component integrated Circuits and devices. These forays into organic chemistry by a scientific nomad are traced through thick and thin from the Athens of the North to the Windy City by Lake Michigan with interludes on the edge of the Canadian Shield beside Lake Ontario, in the Socialist Republic of South Yorkshire, on the Plains of Cheshire beside the Wirral, in the Midlands in the Heartland of Albion, and in the City of Angels beside the Peaceful Sea. (C) 2008 Elsevier Ltd. All rights reserved.

Self-assembly of Tetraurea Calix[4]arenes

We have elaborated a multistep strategy to synthesize ABAB-type tetraureas. There are overall nine steps but they involve very simple chemistry. The sequence starts with a 1,3-dialkylation and this is the step in which a difference between distal phenolic units is introduced. The selective ipso-nitration in the next step is based on the difference in reactivity between free phenolic units and alkylated ones. The direct reaction of tetraamino calixarene with tolylisocyanate appears not to be an appropriate method to synthesize 1,3-ditolylurea calixarenes but can be used to get tetraureas of ABBB- and AABB-types in two steps with yields of about 60%. A complete regioselective dimerization was obtained with mono-loop derivatives in which two adjacent urea residues are covalently connected. As predicted/expected the loop prevents the formation of one regioisomer, and only the dimer in which the open-chain residue slips through the loop is formed. To synthesize mono-loop tetraureas 1,2-diBoc protected tetraamino calixarene was acylated with activated di-urethanes under high dilution conditions. Di-loop compounds were synthesized by two different ways. In the reaction of tetraamine and di-urethanes the yield is about 30-40%. The second method is based on the metathesis reaction within a suitable heterodimer. For this strategy, tetraurea derivatives with residues which have terminal double bonds were prepared. The exclusive formation of the heterodimer with tetratosylurea as template is the key point in this strategy. Metathesis followed by hydrogenation give exceptionally good yields (> 80%) of the loop compounds. All the NMR data for di-loop compounds confirm that the loops prevent the interaction of the urea residues which are connected and thus, as expected, the di-loop derivatives do not form homodimers. The heterodimer between di-loop compounds and tetratolylurea (open-chain tetraureas) was the only species observed for a 1:1 mixture in benzene or chloroform. The rational synthesis of bis-[2]catenanes was a consequence of the selective formation of one regioisomer of mono-loop derivatives and the exclusive formation of heterodimers by di-loop derivatives. The formation of interlocking-ring in the synthesis of bis-[2]catenanes is an additional evidence that one open-chain residue slips through the loop in mono- or di-loop derivatives. Exceptionally good yields in the synthesis of bis-[2]catenanes are due to the high preorganization in the dimer which undergoes the metathesis. This preorganization decreases the number of the wrong connections and favors the new connections to be formed. Although the procedure for working up the reaction mixture should be still improved, these results are promising. A C2-symmetrical bis-[2]catenane was successfully resolved by column chromatography using a chiral stationary phase. Thus it should be possible to separate a larger amount to obtain pure enantiomers for further studies.

Functional photoactive and electroactive nanodevices

Most of current ultra-miniaturized devices are obtained by the top-down approach, in which nanoscale components are fabricated by cutting down larger precursors. Since this physical-engineering method is reaching its limits, especially for components below 30 nm in size, alternative strategies are necessary. Of particular appeal to chemists is the supramolecular bottom-up approach to nanotechnology, a methodology that utilizes the principles of molecular recognition to build materials and devices from molecular components. The subject of this thesis is the photophysical and electrochemical investigation of nanodevices obtained harnessing the principles of supramolecular chemistry. These systems operate in solution-based environments and are investigated at the ensemble level. The majority of the chemical systems discussed here are based on pseudorotaxanes and catenanes. Such supramolecular systems represent prototypes of molecular machines since they are capable of performing simple controlled mechanical movements. Their properties and operation are strictly related to the supramolecular interactions between molecular components (generally photoactive or electroactive molecules) and to the possibility of modulating such interactions by means of external stimuli. The main issues addressed throughout the thesis are: (i) the analysis of the factors that can affect the architecture and perturb the stability of supramolecular systems; (ii) the possibility of controlling the direction of supramolecular motions exploiting the molecular information content; (iii) the development of switchable supramolecular polymers starting from simple host-guest complexes; (iv) the capability of some molecular machines to process information at molecular level, thus behaving as logic devices; (v) the behaviour of molecular machine components in a biological-type environment; (vi) the study of chemically functionalized metal nanoparticles by second harmonic generation spectroscopy.

Synthetic strategies of new molecular paramagnetic mechanically-interlocked complexes

Supramolecular chemistry is a multidisciplinary field which impinges on other disciplines, focusing on the systems made up of a discrete number of assembled molecular subunits. The forces responsible for the spatial organization are intermolecular reversible interactions. The supramolecular architectures I was interested in are Rotaxanes, mechanically-interlocked architectures consisting of a "dumbbell shaped molecule", threaded through a "macrocycle" where the stoppers at the end of the dumbbell prevent disassociation of components and catenanes, two or more interlocked macrocycles which cannot be separated without breaking the covalent bonds. The aim is to introduce one or more paramagnetic units to use the ESR spectroscopy to investigate complexation properties of these systems cause this technique works in the same time scale of supramolecular assemblies. Chapter 1 underlines the main concepts upon which supramolecular chemistry is based, clarifying the nature of supramolecular interactions and the principles of host-guest chemistry. In chapter 2 it is pointed out the use of ESR spectroscopy to investigate the properties of organic non-covalent assemblies in liquid solution by spin labels and spin probes. The chapter 3 deals with the synthesis of a new class of p-electron-deficient tetracationic cyclophane ring, carrying one or two paramagnetic side-arms based on 2,2,6,6-tetramethylpiperidine-N-oxyl (TEMPO) moiety. In the chapter 4, the Huisgen 1,3-dipolar cycloaddition is exploited to synthesize rotaxanes having paramagnetic cyclodextrins as wheels. In the chapter 5, the catalysis of Huisgen’s cycloaddition by CB[6] is exploited to synthesize paramagnetic CB[6]-based [3]-rotaxanes. In the chapter 6 I reported the first preliminary studies of Actinoid series as a new class of templates in catenanes’ synthesis. Being f-block elements, so having the property of expanding the valence state, they constitute promising candidates as chemical templates offering the possibility to create a complex with coordination number beyond 6.

Synthese eines 67-gliedrigen [2]Catenans und seines Konstitutionsisomeren als Bausteine für Polymere

Im Rahmen der Dissertation zum Thema „Synthese eines 67-gliedrigen [2]Catenans und seines Konstitutionsisomeren als Bausteine für Polymere“ ist die Darstellung eines neuen, funktionalisierten [2]Catenans mit 67-gliedrigen Ringen gelungen. Zum Aufbau der Catenanuntereinheiten wurde die Synthese einer langen Kette entwickelt, die zu einem 67-gliedrigen Makrozyklus führte. Die im Catenan eingebauten Ester-Funktionalitäten konnten in die Säure überführt werden, die entweder direkt oder auch nach einer nochmaligen Derivatisierung in einer Polymerisationsreaktion eingesetzt werden könnte. Durch die Darstellung des neuen [2]Catenans wurde die in der Arbeitsgruppe von A. Godt entwickelte Catenan-Synthesestrategie optimiert und gezeigt, dass sie auf ein Molekül mit kleineren Ringgrößen übertragen werden kann. Das Konstitutionsisomere des Catenans, das zyklische Dimer, wurde durch die Änderung der Abfolge einzelner Stufen der Synthesestrategie erhalten. Die Kombination beider Zyklisierungsschritte in einer Reaktion führte in hoher Ausbeute zum zyklischen Dimer. Die neu gefundene Syntheseroute lieferte das zyklische Dimer, ausgehend von der Zyklusvorstufe, in nur drei Stufen und löst die sehr aufwendige Templatsynthese, die zuvor entwickelt wurde, ab. Die Modellexperimente zur Derivatisierung der Catenandisäure mit einem Alkinol, Diol, Diamin oder Aminol wie auch zur Polymerisation mit oxidativer Alkindimerisierung führten nicht zu voll befriedigenden Ergebnissen, jedoch erweist sich die Methode der oxidativen Alkindimerisierung in den Modellversuchen als eine explizit geeignete Variante, ein [2]Catenan zu einem Polymer umzusetzen.

Atomic force microscopy of biomimetic systems

This thesis was driven by the ambition to create suitable model systems that mimic complex processes in nature, like intramolecular transitions, such as unfolding and refolding of proteins, or intermolecular interactions between different cell compo-nents. Novel biophysical approaches were adopted by employing atomic force mi-croscopy (AFM) as the main measurement technique due to its broad diversity. Thus, high-resolution imaging, adhesion measurements, and single-molecule force distance experiments were performed on the verge of the instrumental capabilities. As first objective, the interaction between plasma membrane and cytoskeleton, me-diated by the linker protein ezrin, was pursued. Therefore, the adsorption process and the lateral organization of ezrin on PIP2 containing solid-supported membranes were characterized and quantified as a fundament for the establishment of a biomimetic model system. As second component of the model system, actin filaments were coated on functionalized colloidal probes attached on cantilevers, serving as sensor elements. The zealous endeavor of creating this complex biomimetic system was rewarded by successful investigation of the activation process of ezrin. As a result, it can be stated that ezrin is activated by solely binding to PIP2 without any further stimulating agents. Additional cofactors may stabilize and prolong the active conformation but are not essentially required for triggering ezrin’s transformation into an active conformation. In the second project, single-molecule force distance experiments were performed on bis-loop tetra-urea calix[4]arene-catenanes with different loading rates (increase in force per second). These macromolecules were specifically designed to investigate the rupture and rejoining mechanism of hydrogen bonds under external load. The entangled loops of capsule-like molecules locked the unbound state of intramolecular hydrogen bonds mechanically, rendering a rebinding observable on the experimental time scale. In conjunction with Molecular Dynamics simulations, a three-well potential of the bond rupture process was established and all kinetically relevant parameters of the experiments were determined by means of Monte Carlo simulations and stochastic modeling. In summary, it can be stated that atomic force microscopy is an invaluable tool to scrutinize relevant processes in nature, such as investigating activation mechanisms in proteins, as shown by analysis of the interaction between F-actin and ezrin, as well as exploring fundamental properties of single hydrogen bonds that are of paramount interest for the complete understanding of complex supramolecular structures.