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1 ally isomeric with the doubly interlocked [2]catenane.
2 nce state within the rigid and robust homo[2]catenane.
3 for the synthesis of a covalently closed DNA catenane.
4 the pi-donor ring by the pi-acceptor ring [2]catenane.
5  the product of recombination is a four-node catenane.
6 pology (the Lk value) of the constructed DNA catenane.
7 tted DNA molecule is a right-hand four-noded catenane.
8 are specifically linked to form a four-noded catenane.
9 e structure and a linked DNA circle within a catenane.
10  links, Borromean rings, and a Star of David catenane.
11 gly interlocked rings), the simplest type of catenane.
12 lymerization of macrocycles and metalated [2]catenanes.
13 different types of donor-acceptor [2] and [3]catenanes.
14 isomerism in the minor asymmetric [1(5)2(3)] catenanes.
15 conformational properties of supercoiled DNA catenanes.
16 so one of the simplest families of knots and catenanes.
17  the unlinking of negatively (-) supercoiled catenanes.
18 A molecules can yield a variety of knots and catenanes.
19 rying the secondary binding motifs in the [3]catenanes.
20 subsequent one-electron oxidations of the [3]catenanes.
21 ant increase in the yields of the individual catenanes.
22 rates: unknots, unlinks, and torus knots and catenanes.
23 es, while that of Flp yields multiply linked catenanes.
24 cles can be unlinked or form multiply linked catenanes.
25 zations of [2]pseudorotaxanes to give the [2]catenanes.
26 cromolecular complexes such as rotaxanes and catenanes.
27  DNA molecules that are consistent with full catenanes.
28  psi can be bypassed in multiply interlinked catenanes.
29 tion introduced one additional node into the catenanes.
30 presentations of the corresponding knots and catenanes.
31 configurations of the corresponding knots or catenanes.
32 ents are placed on opposite rings of dimeric catenanes.
33 d poly[13-130]catenanes, and cyclic poly[4-7]catenanes.
34 ially form multiply interlinked right-handed catenanes.
35 op region could serve as building blocks for catenanes.
36 he discovery of crown ethers, carcerands and catenanes.
37 e conformational interconversions of four [2]catenanes (1-4) containing a dibenzo-34-crown-10 ether (
38 as a large 5-(4-tert-butylphenyl)-1,3-xylyl (catenanes 2-4), a narrower 1,3-xylyl (catenanes 5-7), or
39  The translational isomerizations of nine [2]catenanes (2-10) containing an electron-rich dibenzo-34-
40 xylyl (catenanes 2-4), a narrower 1,3-xylyl (catenanes 5-7), or a narrow 1,4-xylyl (catenanes 8-10) g
41 ated triply interlocked ("Star of David") [2]catenane (6(1)(2) link) and a (Fe(II))(5)-coordinated pe
42 ylyl (catenanes 5-7), or a narrow 1,4-xylyl (catenanes 8-10) group.
43  preparation of structures that include a [2]catenane, a [2]rotaxane, and a doubly threaded [3]rotaxa
44 odgett molecular monolayers of a bistable [2]catenane, a bistable [2]pseudorotaxane, and a single-sta
45 ied out the first directed synthesis of a [2]catenane, a plethora of strategies now exist for the con
46 c [2]catenane (SC.7PF6) and an asymmetric [2]catenane (AC.7PF6) on reaction of the 1:1 complex with d
47                                 These new [2]catenanes act effectively as molecular switches which ar
48 analysis have revealed that the ZnP-C(60)-[2]catenane adopts an extended conformation with the chromo
49 l elements of a family of self-assembled [2]-catenanes affect their equilibrium stability versus comp
50 ed-valence (BIPY2)(*3+) state inside both [2]catenanes, an observation which is in good agreement wit
51 t of anion recognition as compared to the HB catenane analogue.
52 fabricated from a single monolayer of the [2]catenane, anchored with phospholipid counterions, and sa
53  barrier of 14.4 kcal mol(-1) for the larger catenane and 17.0 kcal mol(-1) for the smaller one.
54 xane structure that self-assembled into a [3]catenane and [4]catenanes at room temperature in aqueous
55  trinuclear helicates interlock to form a [2]catenane and bis[2]catenane, bearing 14 chirality elemen
56 ial synthesis in water of an all-acceptor [2]catenane and of different types of donor-acceptor [2] an
57  distinctions between this single-station [2]catenane and other more traditional bi- and multistation
58 ion, as the cyclic components in interlocked catenane and rotaxane structures, for constructing assem
59  responsive transformation between the bis[2]catenane and the bis-metallacage can be realized by gues
60                       The yield of four-node catenane and the efficiency of recombination in the pres
61 d inversion reactions yielded the four noded catenane and the three noded knot, respectively, as the
62 ally interlocked compounds, such as bistable catenanes and bistable rotaxanes, have been used to brin
63                In this study, by forming DNA catenanes and determining their topology (the linking nu
64 with various compounds, including degenerate catenanes and free dumbbells, which cannot and do not sw
65 true regardless of the relative sizes of the catenanes and knots.
66 ficient and selective access to a variety of catenanes and offers an unprecedented opportunity to exp
67 hat result in the efficient syntheses of two catenanes and one rotaxane, assisted by radical-pairing
68 s exhibited a reduced ability to resolve DNA catenanes and pathological chromatin bridges formed duri
69         Although many syntheses of molecular catenanes and rotaxanes have been reported, molecular kn
70  (i) the self-assembly of bipyridinium-based catenanes and rotaxanes in solution, (ii) the self-organ
71                             The synthesis of catenanes and rotaxanes using the hard trivalent transit
72 g the properties of Coulombically challenged catenanes and rotaxanes, but it also opens up the possib
73 es has been realized in a variety of systems-catenanes and rotaxanes, chiroptical molecular switches,
74 ynthetic topological nanostructures, such as catenanes and rotaxanes, have been engineered using supr
75                                     For both catenanes and rotaxanes, removal of the metal ion via re
76  in contrast with more conventional bistable catenanes and rotaxanes, the mechanical movement of the
77  unique properties residing in the resulting catenanes and rotaxanes.
78 xes for molecular switching devices, such as catenanes and rotaxanes; ion-channels by ligand gating;
79 -based macrocyclic libraries contain both [2]catenanes and sequence isomers, which can be distinguish
80                             The formation of catenanes and their constitutions are found to be depend
81                    The synthesis of two-ring catenanes and their switchable reconfiguration by pH, me
82  and complex molecular topologies (including catenanes and trefoil and pentafoil knots).
83 ar poly[7-26]catenanes, branched poly[13-130]catenanes, and cyclic poly[4-7]catenanes.
84  interlocked subunits, such as rotaxanes and catenanes, and structures in which many inorganic cluste
85 s effect depends on MatP, the persistence of catenanes, and ZapB.
86 re used as precursors for the preparation of catenane- and pseudorotaxane-decorated NPs of various co
87 riazole-pyridinium-containing acyclic and [2]catenane anion host systems are described.
88 gle-station mechanically switchable hetero[2]catenane are reported.
89 namically controlled reactions to synthesize catenanes are detailed.
90                                              Catenanes are produced during DNA replication and are fo
91              In the vicinity of centromeres, catenanes are resolved by spindle forces, but linkages m
92                                Rotaxanes and catenanes are the leading examples of interlocked molecu
93                  The mechanical bonds of the catenanes are therefore as strong, or stronger, mechanic
94 rties of (+) and (-) supercoiled replication catenanes are very different, these properties per se do
95      Sister chromatid intertwines (SCIs), or catenanes, are topological links between replicated chro
96 tein chainmail: topologically linked protein catenanes arranged with icosahedral symmetry.
97                              In this series, catenane assembly is controlled by a fine balance betwee
98                        The efficiency of the catenane assembly process can be enhanced by manipulatin
99  result, two translational isomers of the [2]catenane associated with these electronically different
100           In solution, irradiation of the [2]catenane at 275 nm results in electron transfer from one
101 sites faster than that with one site and the catenanes at an intermediate rate, while Cfr10I gave sim
102 hat self-assembled into a [3]catenane and [4]catenanes at room temperature in aqueous solution.
103 able electrochromic properties render the [2]catenane attractive for use in electro-optical devices.
104  thermodynamic characterization of a protein catenane based on a dimeric mutant of the p53tet domain
105 recent design of a backbone cyclized protein catenane based on the p53tet domain suggested that topol
106 afoil knot and doubly and triply entwined [2]catenanes based on circular Fe(II) double helicate scaff
107                            Donor-acceptor [2]catenanes based on cyclobis(paraquat-p-phenylene) as the
108 rawn from the recent literature, including a catenane-based chemically driven molecular rotor and a s
109 describe a minimal two-state mechanism for a catenane-based molecular motor.
110 ate, electronically addressable, bistable [2]catenane-based molecular switching device was fabricated
111 es interlock to form a [2]catenane and bis[2]catenane, bearing 14 chirality elements, respectively.
112  (Top2) is an essential enzyme that resolves catenanes between sister chromatids as well as supercoil
113 ly-interlocked molecules, such as rotaxanes, catenanes, Borromean rings, and Solomon knots.
114 s per mole) to a mixture of linear poly[7-26]catenanes, branched poly[13-130]catenanes, and cyclic po
115 hat PepA instructs Cre to produce four-noded catenane, but is not required for recombination at these
116 n directs subsequent covalent capture of the catenane by ring-closing olefin metathesis.
117 etic nature in the formation of the poly-[n]-catenane by the analysis of the packing energy in terms
118 e of metal ions to template the synthesis of catenanes by Sauvage and co-workers was a pivotal moment
119 y (+) supercoiled, and the unlinking of such catenanes by type IIA topoisomerases proceeds much more
120                       Here we show that a [2]catenane can act as a mechanical protecting group by div
121         On average, close to two bistable [2]catenanes can be incorporated per repeating unit of the
122 troelectrochemical experiments show that the catenanes can be reversibly switched among as many as se
123                         Perturbations to the catenane cause compensating changes in the NCNs structur
124 stallographic analysis of a series of halide catenane complexes reveal strong XB interactions in the
125 bile hydrazone linkages of the individual [2]catenane components may be 'locked' by increasing the pH
126 wo bistable [2]rotaxanes and one bistable [2]catenane composed of CBPQT(4+) rings encircling dumbbell
127 t to yield 'nanolympiadane'(10), a nanoscale catenane composed of five interlocked toroids.
128 fully applied in the synthesis of a poly-[n]-catenane composed of interlocked M(12)L(8) icosahedral n
129 on of a surface-attached double-stranded DNA catenane composed of two intact interlinked DNA nano-cir
130 le organic radicals, trapped within a homo[2]catenane composed of two rigid and fixed cyclobis(paraqu
131 enane represents the smallest ring size of a catenane composed solely of polypeptide segments.
132                 Two redox-active bistable [2]catenanes composed of macrocyclic polyethers of differen
133                               A tristable [2]catenane, composed of a macrocyclic polyether incorporat
134                        Two donor-acceptor [3]catenanes-composed of a tetracationic molecular square,
135                       An octacationic homo[2]catenane comprised of two mechanically interlocked cyclo
136 e Carlo simulations of braid, supercoil, and catenane configurations demonstrate how a preference for
137 id-state structures of the donor-acceptor [2]catenanes confirm their mechanically interlocked nature,
138                           A novel dynamic [3]catenane consisting of a large four-station central macr
139 nant receptor structure was an elaborate [2]-catenane consisting of two interlocked macrocyclic trime
140                                    These new catenanes contain both the donor and acceptor components
141                                  A series of catenanes containing different permutations of the insul
142 ated on separate rings of right-handed torus catenanes containing six or more nodes.
143  the sterically less encumbered series of [2]catenanes containing the 1,3-butadiyne moiety.
144  conformational interconversions in these [2]catenanes containing the rigid bis(p-benzyl)methyl tethe
145 tion arises: what role does topology play in catenanes containing TTF units?
146  with two sites in a single DNA molecule; on catenanes containing two interlinked rings of DNA with o
147 wo copies of their recognition sites, and on catenanes containing two interlinked rings of DNA with o
148                            A new class of [2]catenanes containing zinc(II)-porphyrin (ZnP) and/or [60
149                 The product, a doubly tailed catenane, contains 5'- and 3'-termini that can be functi
150 , in isomeric [3]- and doubly interlocked [2]catenanes controls the formation of TTF radical dimers w
151                      A bis-phenanthroline [2]catenane copper complex, consisting of one olefinic macr
152 mechanically interlocked framework of the [3]catenanes creates the ideal arrangement and ultrahigh lo
153 photophysical investigation of rotaxanes and catenanes decorated with peripheral electron donors and
154    The (Fe(II))(6)-coordinated Star of David catenane, derived from a hexameric cyclic helicate, is 2
155 nuclease EcoP1I was analysed on circular and catenane DNA in a variety of buffers with different salt
156                                              Catenane dynamic processes were additionally probed thro
157 g hydrogen bonds, and beta-turn types on [2]-catenane energetics.
158 elineate how these factors contribute to [2]-catenane equilibrium speciation/stability.
159                            These bistable [2]catenanes exemplify a design strategy for achieving redo
160 aining also one DNP unit) of the isomeric [3]catenane exhibit slightly different redox properties com
161 locked molecules is crucial: the demetalated catenane exhibits no anion binding in solution nor any t
162 he mechanically interlocked nature of the [3]catenanes facilitates the formation of the TTF radical d
163             This new electron donor-acceptor catenane family has been subjected to extensive spectros
164              The minimalist nature of the [2]catenane flashing ratchet design permits certain mechani
165  to (+) supercoiled over (-) supercoiled DNA catenanes for unlinking.
166 analysis, we demonstrate that the studies of catenanes formed from two ssDNA molecules can yield valu
167 trophoretic migration of different knots and catenanes formed on the same size DNA molecules is simpl
168               It was found recently that DNA catenanes, formed during replication of circular plasmid
169 o IV rapidly removes positive supercoils and catenanes from DNA but is significantly slower when conf
170 e assembly of new types of donor-acceptor [2]catenanes from dynamic combinatorial libraries (DCL) in
171 hesis of an electrochemically addressable [2]catenane has been achieved following formation by templa
172  synthesis of functionalized macrocycles and catenanes has been developed using "click" chemistry in
173                                Each of these catenanes has specific structural requirements, allowing
174 th the free macrocyclic polyether and the [2]catenane have led to a deeper fundamental understanding
175                 Both these highly charged [2]catenanes have been isolated as air-stable monoradicals
176                        Two donor-acceptor [2]catenanes have been synthesized and characterized from a
177 DNA with two sites, which indicates that the catenanes have more freedom for site juxtaposition than
178                                              Catenanes have not been previously observed in proteins
179 nically interlocked molecules (rotaxanes and catenanes) have already revolutionized molecular electro
180 at by replacing the BIPY(2+) units in homo[2]catenane HC(*7+)-composed of two mechanically interlocke
181 CC) of a new generation of donor-acceptor [2]catenanes highlights the power of DCC to access unpreced
182 ly different binding pockets in a dynamic [2]catenane host is demonstrated in the solid state by mani
183 onstrates unambiguously the fact that the [2]catenane host provides a uniquely different binding pock
184 iation constant values determined for the [2]catenane in competitive organic-aqueous solvent mixtures
185 icient route to the tetrathiafulvalene-based catenane in high yield.
186 s well as by X-ray crystallography of the [2]catenane in its bisradical tetracationic redox state.
187 e affords the corresponding difunctionalized catenane in one step in 85-92% yield.
188 ng affinities to the metalated Star of David catenane in solution-also display no ion transport prope
189                                       The [2]catenane in which the macrocyclic polyether is mechanica
190     Furthermore, the spontaneous assembly of catenanes in aqueous dynamic systems gives a fundamental
191       The crystal structure of one of the [2]catenanes in its trisradical tricationic redox state pro
192 cessary to facilitate resolution of retained catenanes in mitosis.
193 verse strategies that exist for synthesizing catenanes in the 21st century and examines their emergin
194 cular conformations adopted by rotaxanes and catenanes in the electron transfer dynamics and illustra
195 sed the activity of EcoPI and EcoP15I on DNA catenanes in which the recognition sites were either on
196  halide selectivity is observed in the XB [2]catenane, in comparison to the acyclic XB receptor, due
197                          A donor-acceptor [3]catenane incorporating two cyclobis(paraquat-p-phenylene
198                                       Two [2]catenanes incorporating bispyrrolotetrathiafulvalene (BP
199                       Herein, a cyclic bis[2]catenane is constructed through the coordination-driven
200                                The model [2]-catenane is self-assembled from dipeptide building block
201            The assembly of our rotaxanes and catenanes is based on the classic 1,10-phenanthroline-co
202                                 One of these catenanes is different from earlier related interlocked
203                    The formation of these [2]catenanes is due to a spontaneous stereo and structurall
204 e synthesis of three-, five-, and seven-ring catenanes is presented, and their switchable reconfigura
205 eversible redox-switching of the bistable [2]catenanes is retained inside the MOF, as evidenced by so
206  structures, including fibers, rings, tubes, catenanes, knots, and cages, have shown that the quatern
207 udy different topological forms of DNA rings-catenanes, knots, and supercoils.
208 ility and redox properties of their original catenane metal complexes.
209                                       Two [3]catenane 'molecular flasks' have been designed to create
210                                              Catenanes - molecules consisting of interlocked macrocyc
211         The small rings in these [2]- and [3]catenanes move in discrete steps between different bindi
212                                      In this catenane, movement of the CBPQT(4+) ring in its differen
213        We find that the small ring in the [2]catenane moves with high positional integrity but withou
214 ion of motion, while the two rings in the [3]catenane mutually block each other's movement to ensure
215 ods to make these proteins and more: protein catenanes, neoglycoproteins, and artificial protein mole
216                                  The initial catenanes obtained after workup are Cu-free.
217  radical cationic (TTF(*+))2 dimer in the [2]catenane occurs only fleetingly compared with its promin
218 heir potential for the preparation of linear catenanes of higher order.
219 axane, as well as in a couple of bistable [2]catenanes of the donor-acceptor vintage--can be elucidat
220 ts a novel example of a cyclic cage-based [2]catenane oligomer.
221 ted, (ii) in the case of the two bistable [2]catenanes--one containing a crown ether with tetrathiafu
222 ghted and to conclude, attempts to fabricate catenanes onto surfaces and into metal organic framework
223  triggered reversible reconfiguration of the catenane or rotaxane structures provides a means to yiel
224 terlocked circular DNA nanostructures, e.g., catenanes or rotaxanes, provide functional materials wit
225                                 We construct catenanes out of two short (60/70 nt) ssDNA molecules by
226 merase II (topo II), the enzyme that removes catenanes persisting between sister chromatids following
227                              These unique [2]catenanes present a promising prototype for the fabricat
228                         The formation of the catenane proceeded efficiently, and the overall structur
229 be linked together to generate the cyclic [3]catenane product.
230  can switch between two-noded and four-noded catenane products.
231                               Formation of a catenane proved that the linkage crossed a turn rather t
232                      By showing that the DNA catenane remains intact after RCA reactions, we prove th
233 ng transcriptional regulation, supercoil and catenane removal, and site-specific recombination.
234 e identical to those of related (phen)2Cu(I) catenanes reported by Sauvage and co-workers.
235 ese results, and on the observation that the catenanes represent kinetic bottlenecks in the reaction
236 aph, the topologically non-trivial knots and catenanes represent some of chemistry's most challenging
237                                       The [3]catenane represents the smallest ring size of a catenane
238 ) FRT sites are a 3-noded knot and a 4-noded catenane, respectively.
239 e tristable and bistable [2]rotaxanes and [2]catenane reveal a mechanism which involves a bisradical
240          The solid-state structure of the [2]catenane reveals a nearly perfect fit of the interlocked
241 me molecule of DNA or by the interlinking of catenane rings, than when released from the tether.
242      The directional rotation of [2]- and [3]catenane rotary molecular motors and the transport of su
243 otation of up to 87% of crown ethers in a [2]catenane rotary motor.
244                         Examples include the catenane, rotaxane, and knot interlocked structures.
245 ation (DAPQT(2(*+))), affords a symmetric [2]catenane (SC.7PF6) and an asymmetric [2]catenane (AC.7PF
246                                     These [2]catenanes show a predominant amount (>95:5) of the co-co
247 ectroscopic analysis of this hexacationic [2]catenane shows a dramatic upfield shift of the resonance
248 macrocycle (unknot), a doubly interlocked [2]catenane (Solomon link) and a knot with seven crossings
249 nstitutionally different TTF units in the [2]catenane still experience long-range electronic intramol
250 ionalized further or used to incorporate the catenane structure into other DNA assemblies.
251 s may be a driving force for assembly of the catenane structure.
252 plementation of the dynamically reconfigured catenane structures for the programmed organization of A
253 logical objects such as supercoiled ring and catenane structures.
254                                   Polyhedral catenanes, such as a cube or a truncated octahedron, hav
255 -induced circumrotatory motion in a hetero[3]catenane system is demonstrated where the exotic dual ro
256            We describe the synthesis of a [2]catenane that consists of two triply entwined 114-member
257 rious macrocycles, two different types of [2]catenanes that are non-isomeric.
258  the synthesis and functional application of catenanes that have occurred since the Millennium.
259                                 The class of catenanes that may be described as "molecular machines"
260 py methods to identify the types of knots or catenanes that migrate in different bands on the agarose
261 in the CBPQT(4+) ring for both of the two [2]catenanes, that is governed by a free energy barrier of
262                      In all desymmetrized [2]catenanes the co-conformation is dominated by the strong
263                        In the case of the [2]catenane, the formation of the TTF hetero radical dimer
264 nts flank either the enhancer or promoter in catenanes, the enhancer cannot activate the promoter on
265 interlocked compounds, such as rotaxanes and catenanes, the molecules are held together by mechanical
266 ntiparallel sites on four-noded right-handed catenanes, the normal product of Xer recombination at ps
267 nce (TTF2)(*+) dimers are similar in the two catenanes, the radical cationic (TTF(*+))2 dimer in the
268        We showed that in (-) supercoiled DNA catenanes this protein-bound bent segment becomes nearly
269 esent the preparation of a three-dimensional catenane through a self-assembly process that relies on
270 from the reliable synthesis of rotaxanes and catenanes to molecular rotary motors, shuttles, muscles,
271 king has limited the scope of donor-acceptor catenanes to strictly alternating stacks of donor (D) an
272 ked dsDNA nanostructures, like rotaxanes and catenanes, to achieve diverse mechanical operations.
273    This model tightly prescribes the knot or catenane type of previously uncharacterized data.
274 itation, our multichromophoric rotaxanes and catenanes undergo a cascade of sequential energy and ele
275               Unfolding and refolding of the catenane was consistent with a two-state process.
276                  The NMR structure of the [3]catenane was determined, suggesting that burial of hydro
277              The non-variant core of the [2]-catenane was shown only to adopt type II' and type VIII
278 ercoiled, multiply interlinked, right-handed catenanes, we detect specific regions where DNA segments
279 cally interlocked structure of the resulting catenane were established by NMR spectroscopy, mass spec
280 re, parallel psi sites on right-handed torus catenanes were not substrates for Xer recombination.
281  cases, including two fully desymmetrized [2]catenanes where both donors and acceptors are different,
282  a series of desymmetrized donor-acceptor [2]catenanes where different donor and acceptor units are a
283                                       Poly[n]catenanes, where the molecular chains consist solely of
284 ed synthesis of a bistable donor-acceptor [2]catenane wherein both translational isomers--one in whic
285 es from the mobility of the two rings of the catenane, which are able to rotate along each other unti
286  Here we report the synthesis of a cyclic [3]catenane, which consists of three mutually interpenetrat
287     The highly energetic octacationic homo[2]catenane, which is capable of accepting up to eight elec
288                 A bistable donor-acceptor [2]catenane, which is composed of a crown ether containing
289 (MIMs)--specifically, bistable rotaxanes and catenanes--which exhibit reset lifetimes between their O
290  enzymes produce different types of knots or catenanes while acting on circular DNA in vitro and in v
291 pared with its prominent existence in the [3]catenane, while both dimers are absent altogether in the
292 se in the {2+2} macrocycle present in the [2]catenane, while comparison with its topological isomer r
293 etry confirm the formation of a cyclic bis[2]catenane with "infinity"-shaped topology via a 14-compon
294                       Four donor-acceptor [2]catenanes with cyclobis(paraquat-p-phenylene) (CBPQT4+)
295 -B monomers self-assemble into octameric [2]-catenanes with high selectivity for [1(3)2](2), where 1
296  spanning two sites have longer lifetimes on catenanes with one site in each ring than on circular DN
297 d on the same ring were cleaved efficiently, catenanes with sites on separate rings were not cleaved.
298 ght-handed knots and decatenate right-handed catenanes without acting on right-handed plectonemes in
299 d DNA, as well as decatenate postreplicative catenanes, without causing their torsional relaxation.
300 no two rings are interlinked in a chain-like catenane, yet the three rings cannot be separated.

 
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