Spectroscopic study and G-quadruplex DNA binding affinity of two bioactive papaverine-derived ligands

The interactions of G-quadruplex DNA with two oxidation products of papaverine, 6a,12a-diazadibenzo-[a,g]fluorenylium derivative (1) and 2,3,9,10-tetramethoxy-12-oxo-12H-indolo[2,1-a]isoquinolinium cation (2) were investigated. Their activity against telomerase was assessed using the conventional telomeric repeat amplification protocol (TRAP) assay. Effect of TRAP buffer and oligonucleotide length on the DNA-binding affinity of 1 and 2 were also studied. Three quadruplex-forming oligonucleotides with human telomeric sequence: dG₃(T₂AG₃)₃ (htel21), dAG₃(T₂AG₃)₃ (htel22), and d(T₂AG₃)₄ (htel24) were used in these investigations. Both ligands were capable of interacting with G4 DNA with binding stoichiometry indicating that two ligand molecules bind to G-quadruplex, which agrees with the binding model of end-stacking on terminal G-tetrads. Circular dichroism spectra revealed that preferences of quadruplex-forming oligonucleotide to adopt a particular topological structure may be also affected by the external ligand that binds to quadruplex. Telomerase activity was suppressed at very low ligand 1 and ligand 2 concentrations with an appreciable selectivity comparing with inhibition of Taq polymerase.     

Pharmacophore-based discovery of triaryl-substituted imidazole as new telomeric G-quadruplex ligand

Discovery of potent and selective ligands for telomeric G-quadruplex DNA is a challenging work. Through a combination approach of pharmacophore model construction, model validation, database virtual screening, chemical synthesis and interaction evaluation, we discovered and confirmed triaryl-substituted imidazole TSIZ01 to be a new telomeric G-quadruplex ligand with potent binding and stabilizing activity to G-quadruplex DNA, as well as a 8.7-fold selectivity towards telomeric G-quadruplex DNA over duplex DNA.     

Stabilizing parallel G-quadruplex DNA by a new class of ligands: Two non-planar alkaloids through interaction in lateral grooves

Human DNA sequences consisting of tandem guanine (G) nucleotides can fold into a four-stranded structure named G-quadruplex via Hoogsteen hydrogen bonding. As the sequences forming G-quadruplex exist in essential regions of eukaryotic chromosomes and are involved in many important biological processes, the study of their biological functions has currently become a hotspot. Compounds selectively binding and stabilizing G-quadruplex structures have the potential to inhibit telomerase activity or alter oncogene expression levels and thus may act as antitumor agents. Most of reported G-quadruplex ligands generally have planar structures which stabilize G-quadruplex by π–π stacking. However, based on a pharmacophore-based virtual screening two non-planar G-quadruplex ligands were found. These two ligands exhibit good capability for G-quadruplex stabilization and prefer binding to paralleled G-quadruplex rather than to duplex DNA. The binding of these ligands to G-quadruplex may result from groove binding at a 2:1 stoichiometry. These results have shown that planar structures are not essential for G-quadruplex stabilizers, which may represent a new class of G-quadruplex-targeted agents as potential antitumor drugs.     

Binding mode of a cationic porphyrin to parallel and antiparallel thrombin binding aptamer G-quadruplex

Abstract

The spectral properties of meso-tetrakis (N-methylpyridinium-4-yl)porphyrin (TMPyP) in the presence of parallel and antiparallel G-quadruplexes formed from a thrombin-binding aptamer G-quadruplex (5′-G₃T₂G₃TGTG₃T₂G₃) were investigated in this study. Red shift and hypochromism in the Soret absorption band of TMPyP were observed after binding to both parallel and antiparallel G-quadruplexes. The extent of changes in the absorption spectra were similar for both conformers. No circular dichroism spectrum was induced in the Soret region for both parallel and antiparallel G-quadruplexes. This is suggest that there is no or very weak interaction between electric transitions of nucleobases and porphyrin molecule. The accessibility of the neutral quencher I₂ to the G-quadruplex-bound TMPyP was similar for both parallel and antiparallel G-quadruplexes. All these observations suggest that TMPyP was bound at the outside of the quadruplexes, and conceivably interacted with the phosphate group via a weak electrostatic interaction.

Communicated by Ramaswamy H. Sarma     

Structural insights into the binding of small ligand molecules to a G-quadruplex DNA located in the HIV-1 promoter

Targeting guanine (G)-rich DNA sequences, folded into non-canonical G-quadruplex (G4) structures, by small ligand molecules is a promising strategy for gene therapy of various diseases. There is experimental proposal that, among eight studied ligands, nitidine chloride – NC and a benzo phenanthridine derivative – BPD have the highest binding affinity for such a sequence (5′-T¹G²G³C⁴C⁵T⁶G⁷G⁸G⁹C¹⁰G¹¹G¹²G¹³A¹⁴C¹⁵T¹⁶G¹⁷G¹⁸G¹⁹?3′) in the HIV-1 promoter, indicating that an anti-HIV-1 prodrug may regulate the expression of the promoter. Herein, this experimental indication is elaborated by using molecular docking simulations and by characterizing the modes of binding of the eight natural molecules to the particular G4. Moreover, the configurational entropy, as an upper bound of the true entropy contribution to the free energy in noncovalent binding, is employed to see into the structural changes experienced by the G4-DNA upon ligand binding. For various parts (complete structure, backbone, system of all bases, bases of G-tetrads) of the G4-DNA structure, a subtle molecular dynamics (MD) is exploited to determine the change of asymptotic (for infinitely long MD simulation) configurational entropy, being the thermodynamic consequence of DNA flexibility change upon complex formation. While NC increases rigidity of G4 (mainly through the system of all nucleobases), BPD increases flexibility of G4 (more than 50% stems from the sugar-phosphate backbone). These insights are further dissected and substantiated by considering the configurational entropy contributions at the level of individual base pairs making the two G-tetrads (G²G⁷G¹³G¹⁷ and G³G⁸G¹²G¹⁸) and by exploring the estimates of the total intra-base pair and inter-base pair entropies. This work makes the structural origin of enhanced stability of G4-DNA more certain – useful information when attempting to design optimal G4-DNA binders.     

Triazolopyridyl ketones as a novel class of antileishmanial agents. DNA binding and BSA interaction

A new series of triazolopyridyl pyridyl ketones has been synthetized by regioselective lithiation of the corresponding [1,2,3]triazolo[1,5-a]pyridine at 7 position followed by reaction with different electrophiles. The in vitro antileishmanial activity of these compounds was evaluated against Leishmania infantum, Leishmania braziliensis, Leishmania guyanensis and Leishmania amazonensis. Compounds 6 and 7 were found to be the most active leishmanicidal agents. Both of them showed activities at micromolar concentration against cultured promastigotes of Leishmania spp. (IC₅₀ = 99.8–26.8 μM), without cytotoxicity on J774 macrophage cells. These two compounds were also tested in vivo in a murine model of acute infection by L. infantum. The triazolopyridine derivative 6 was effective against both spleen and liver parasites forms, while 7 was inactive against liver parasites. Mechanistic aspects of the antileishmanial activity were investigated by means of DNA binding studies (UV-titration and viscosimetry). Results have revealed that these active ligands are able to interact strongly with DNA [K_b = 1.14 × 10⁵ M⁻¹ (6) and 3.26 × 10⁵ M⁻¹ (7)]. Moreover, a DNA groove binding has been proposed for both 6 and 7. To provide more insight on the mode of action of compounds 6 and 7 under biological conditions, their interaction with bovine serum albumin (BSA) was monitored by fluorescence titrations and UV–visible spectroscopy. The quenching constants and binding parameters were determined. Triazolopyridine ketones 6 and 7 have exhibited significant affinity towards BSA [K_b = 2.5 × 10⁴ M⁻¹ (6) and 1.9 × 10⁴ M⁻¹ (7)]. Finally, to identify the binding location of compounds 6 and 7 on the BSA, competitive binding experiments were carried out, using warfarin, a characteristic marker for site I, and ibuprofen as one for site II. Results derived from these studies have indicated that both compounds interact at BSA site I and, to a lesser extent, at site II.     

Structure and enzymatic properties of a chimeric bacteriophage RB69 DNA polymerase and single-stranded DNA binding protein with increased processivity

In vivo, replicative DNA polymerases are made more processive by their interactions with accessory proteins at the replication fork. Single-stranded DNA binding protein (SSB) is an essential protein that binds tightly and cooperatively to single-stranded DNA during replication to remove adventitious secondary structures and protect the exposed DNA from endogenous nucleases. Using information from high resolution structures and biochemical data, we have engineered a functional chimeric enzyme of the bacteriophage RB69 DNA polymerase and SSB with substantially increased processivity. Fusion of RB69 DNA polymerase with its cognate SSB via a short six amino acid linker increases affinity for primer-template DNA by sixfold and subsequently increases processivity by sevenfold while maintaining fidelity. The crystal structure of this fusion protein was solved by a combination of multiwavelength anomalous diffraction and molecular replacement to 3.2 A resolution and shows that RB69 SSB is positioned proximal to the N-terminal domain of RB69 DNA polymerase near the template strand channel. The structural and biochemical data suggest that SSB interactions with DNA polymerase are transient and flexible, consistent with models of a dynamic replisome during elongation.     

Solution structure of the Arabidopsis thaliana telomeric repeat-binding protein DNA binding domain: a new fold with an additional C-terminal helix

The double-stranded telomeric repeat-binding protein (TRP) AtTRP1 is isolated from Arabidopsis thaliana. Using gel retardation assays, we defined the C-terminal 97 amino acid residues, Gln464 to Val560 (AtTRP1(464-560)), as the minimal structured telomeric repeat-binding domain. This region contains a typical Myb DNA-binding motif and a C-terminal extension of 40 amino acid residues. The monomeric AtTRP1(464-560) binds to a 13-mer DNA duplex containing a single repeat of an A.thaliana telomeric DNA sequence (GGTTTAG) in a 1:1 complex, with a K(D) approximately 10(-6)-10(-7) M. Nuclear magnetic resonance (NMR) examination revealed that the solution structure of AtTRP1(464-560) is a novel four-helix tetrahedron rather than the three-helix bundle structure found in typical Myb motifs and other TRPs. Binding of the 13-mer DNA duplex to AtTRP1(464-560) induced significant chemical shift perturbations of protein amide resonances, which suggests that helix 3 (H3) and the flexible loop connecting H3 and H4 are essential for telomeric DNA sequence recognition. Furthermore, similar to that in hTRF1, the N-terminal arm likely contributes to or stabilizes DNA binding. Sequence comparisons suggested that the four-helix structure and the involvement of the loop residues in DNA binding may be features unique to plant TRPs.     

用二次电泳法研究核酸与蛋白质的相互作用

研究蛋白质与核酸的结合常遇到的问题是对蛋白质等电点及可溶度等要求较高,或难以同时处理大量标本。为克服此缺点,将待检蛋白经聚丙烯酰胺凝胶电泳后,通过洗涤去除凝胶中的ＳＤＳ,使蛋白质相对固定于凝胶中,改电泳液为ＴＡＥ或ＴＢＥ,继之用同位素标记寡核苷酸进行二次电泳,通过放射自显影直观地显现出蛋白结合核酸的结果。该法敏感,特异,对蛋白质等电点及可溶性要求低,可同时检测多个样本,值得推广使用。     

One-pot synthesis of a new 2-substituted 1,2,3-triazole 1-oxide derivative from dipyridyl ketone and isonitrosoacetophenone hydrazone: Nickel(II) complex,DNA binding and cleavage properties

An efficient and simple one-pot synthesis of a new 1,2,3-triazole-1-oxide via reaction between isonitrosoacetophenone hydrazone and dipyridyl ketone in the EtOH/AcOH at room temperature has been developed smoothly in high yield. The reaction proceeds via metal salt free, in-situ formation of asymmetric azine followed by cyclization to provide 1,2,3-triazole 1-oxide compound. It has been structurally characterized. The 1:1 ratio reaction of the 1,2,3-triazole 1-oxide ligand with nickel(II) chloride gives the mononuclear complex [Ni(L)(DMF)Cl₂], hexa-coordinated within an octahedral geometry. Characterization of the 1,2,3-triazole compound and its Ni(II) complex with FTIR, ¹H and ¹³C NMR, UV–vis and elemental analysis also confirms the proposed structures of the compounds. The interactions of the compounds with Calf thymus DNA (CT-DNA) have been investigated by UV–visible spectra and viscosity measurements. The results suggested that both ligand and Ni(II) complex bind to DNA in electrostatic interaction and/or groove binding, also with a slight partial intercalation in the case of ligand. DNA cleavage experiments have been also investigated by agarose gel electrophoresis in the presence and absence of an oxidative agent (H₂O₂). Both 1,2,3-triazole 1-oxide ligand and its nickel(II) complex show nuclease activity in the presence of hydrogen peroxide. DNA binding and cleavage affinities of the 1,2,3-triazole 1-oxide ligand is stronger than that of the Ni(II) complex.     

Anticancer activity of new imidazole derivative of 1R,2R-diaminocyclohexane palladium and platinum complexes as DNA fluorescent probes

The aim of this study was synthesis of two new water-soluble fluorescent palladium and platinum complexes with formulas of [Pt(DACH)(FIP)](NO₃)₂ and [Pd(DACH)(FIP)](NO₃)₂, respectively, where FIP is 2-(furan-2-yl)-1H-imidazo[4,5-f][1,10] phenanthroline and DACH is 1R,2R-diaminocyclohexane. Fluorescence spectroscopy, circular dichroism (CD), thermal denaturation measurement, ionic strength, and kinetic study displayed groove binding of Pt complex on DNA, while due to binding of Pd complex, B form of DNA convert to Z form. Due to electrostatic interaction of Pd complex with DNA, the DNA form is converted and it provides enough space for Pd complex to insert between base stacking of DNA. UV–vis study shows two complexes could denature the DNA at low concentrations in exothermic process and Pt complex is more active than Pd complex. Finally, the anticancer and growth inhibitory activities of synthesized complexes were investigated against human colon cancer cell line HCT116 after incubation time of 24 h using MTT assay and higher activity was observed for the platinum complex. Interaction of the two metal derivative complexes was studied by molecular docking and molecular dynamics simulation. The results showed that Pt complexes have higher negative docking energy and higher tendency for interaction with DNA, and exert more structural change on DNA.     

Two DNA binding modes of a zinc-metronidazole and biological evaluation as a potent anti-cancer agent

A complex of metronidazole (MTZ) with zinc ion was synthesized and characterized by UV-Vis, Fourier transform infrared (FT-IR), ¹H-NMR, X-ray crystallography and thermal gravimetric-differential thermal analysis (TG-DTA). The cytotoxicity effect of the synthesized complex investigated over SKNMC, A549, MCF-7, and MCDK cell lines and the results have shown that it has high cytotoxic potential over cancer cell lines. In order to clarify the mechanism of cell cytotoxicity, the oxidative stress and binding of the complex to the calf thymus-DNA studied by evaluating the intrinsic binding constant and defining thermodynamic parameters of complex over the DNA accompanying with in silico molecular modeling method. For this purpose, the complex optimized at the B3LYP/LANL2DZ level and docked over the DNA structure. The results revealed that the metronidazole-zinc complex interacted with DNA via hydrogen binding and electrostatic interaction to the minor groove region and phosphate backbone of DNA, respectively.     

Micronomicin/tobramycin binding with DNA: fluorescence studies using of ethidium bromide as a probe and molecular docking analysis

Two aminoglycosides, micronomicin (MN), and tobramycin (TB), binding with DNA were studied using various spectroscopic techniques including fluorescence, UV–Vis, FT-IR, and CD spectroscopy coupled with relative viscosity and molecular docking. Studies of fluorescence quenching and time-resolved fluorescence spectroscopy all revealed that MN/TB quenching the fluorescence of DNA–EB belonged to static quenching. The binding constants and binding sites were obtained. The values of ΔH, ΔS, and ΔG suggested that van der Waals force or hydrogen bond might be the main binding force. FT-IR and CD spectroscopy revealed that the binding of MN/TB with DNA had an effect on the secondary structure of DNA. Binding mode of MN/TB with DNA was groove binding which was ascertained by viscosity measurements, CD spectroscopy, ionic strength, melting temperature (T_m), contrast experiments with single stranded (ssDNA), and double stranded DNA (dsDNA). Molecular docking analysis further confirmed that the groove binding was more acceptable result.     

Complex of the herpes simplex virus type 1 origin binding protein UL9 with DNA as a platform for the design of a new type of antiviral drugs

The herpes simplex virus type 1 origin-binding protein, OBP, is a DNA helicase encoded by the UL9 gene. The protein binds in a sequence-specific manner to the viral origins of replication, two OriS sites and one OriL site. In order to search for efficient inhibitors of the OBP activity, we have obtained a recombinant origin-binding protein expressed in Escherichia coli cells. The UL9 gene has been amplified by PCR and inserted into a modified plasmid pET14 between NdeI and KpnI sites. The recombinant protein binds to Box I and Box II sequences and possesses helicase and ATPase activities. In the presence of ATP and viral protein ICP8 (single-strand DNA-binding protein), the initiator protein induces unwinding of the minimal OriS duplex (≈80?bp). The protein also binds to a single-stranded DNA (OriS^?) containing a stable Box I-Box III hairpin and an unstable AT-rich hairpin at the 3′-end. In the present work, new minor groove binding ligands have been synthesized which are capable to inhibit the development of virus-induced cytopathic effect in cultured Vero cells. Studies on binding of these compounds to DNA and synthetic oligonucleotides have been performed by fluorescence methods, gel mobility shift analysis and footprinting assays. Footprinting studies have revealed that Pt-bis-netropsin and related molecules exhibit preferences for binding to the AT-spacer in OriS. The drugs stabilize structure of the AT-rich region and inhibit the fluctuation opening of AT-base pairs which is a prerequisite to unwinding of DNA by OBP. Kinetics of ATP-dependent unwinding of OriS in the presence and absence of netropsin derivatives have been studied by measuring the efficiency of Forster resonance energy transfer (FRET) between fluorophores attached to 5′- and 3′- ends of an oligonucleotide in the minimal OriS duplex. The results are consistent with the suggestion that OBP is the DNA Holiday junction (HJ) binding helicase. The protein induces conformation changes (bending and partial melting) of OriS duplexes and stimulates HJ formation in the absence of ATP. The antiviral activity of bis-netropsins is coupled with their ability to inhibit the fluctuation opening of АТ base pairs in the А?+?Т cluster and their capacity to stabilize the structure of the АТ-rich hairpin in the single-stranded oligonucleotide corresponding to the upper chain in the minimal duplex OriS. The antiviral activities of bis-netropsins in cell culture and their therapeutic effects on HSV1-infected laboratory animals have been studied.     

DNA binding affinity and antioxidative activity of copper(II) and zinc(II) complexes with a novel hesperetin Schiff base ligand

A hesperetin Schiff base ligand (H₄L) and its complexes, [H₃CuL·OAc]·H₂O and [H₃ZnL·OAc]·2H₂O, have been synthesized and characterized on the basis of elemental analysis, molar conductivity, ¹H NMR, mass spectra, UV-Vis spectra and IR spectra. The binding of these two complexes and the ligand to DNA has been investigated by ultraviolet absorption spectroscopy, fluorescence spectroscopy and viscosity measurements. The experiments indicate that all the compounds can bind to DNA through an intercalative mode and the complexes intercalate into DNA more deeply than that of the ligand. In addition, the antioxidative activity was also determined. The 50% inhibition obtained for the ligand and its complexes demonstrates that, compared to the ligand, the complexes exhibit higher antioxidative activity in the suppression of and HO.     

Chemical shift as a probe of molecular interfaces: NMR studies of DNA binding by the three amino-terminal zinc finger domains from transcription factor IIIA

We report the NMR resonance assignments for a macromolecular protein/DNA complex containing the three amino-terminal zinc fingers (92 amino acid residues) of Xenopus laevis TFIIIA (termed zf1-3) bound to the physiological DNA target (15 base pairs), and for the free DNA. Comparisons are made of the chemical shifts of protein backbone¹ H^N, ¹⁵N,¹³ C and¹³ C and DNA base and sugar protons of the free and bound species. Chemical shift changes are analyzed in the context of the structures of the zf1-3/DNA complex to assess the utility of chemical shift change as a probe of molecular interfaces. Chemical shift perturbations that occur upon binding in the zf1-3/DNA complex do not correspond directly to the structural interface, but rather arise from a number of direct and indirect structural and dynamic effects.     

Synthesis, structure, DNA binding and photocleavage activity of a ruthenium(II) complex with 11-(9-acridinyl)dipyrido[3,2-a:2′,3′-c]phenazine ligand

In our search for new DNA intercalating ligands, a novel bifunctional intercalator 11-(9-acridinyl)dipyrido[3,2-a:2′,3′-c]phenazine, acdppz (has two potentially effective intercalators via dipyridophenazine(dppz) and acridine which are linked together via C-C bond) and its corresponding Ru(II) polypyridyl complex [Ru(phen)₂(acdppz)]²⁺ (where phen = 1,10-phenanthroline) have been synthesized and characterized. The electrochemical behaviors of the ligand and its complex have been thoroughly examined. The structure of acdppz and [Ru(phen)₂(acdppz)]²⁺ were determined by X-ray crystallography. From the crystal structure of the complex, we found that the dppz moiety is not coplanar with the acridine ring, having a dihedral angle of 64.79 in the acdppz. The selected bond lengths and angles for the crystal structure of [Ru(phen)₂(acdppz)]²⁺ were compared to the geometry-optimized molecular structure of [Ru(phen)₂(acdppz)]²⁺ derived by Gaussian. The interaction of [Ru(phen)₂(acdppz)]²⁺ with calf-thymus (CT) DNA was investigated by absorption and viscometry titration, thermal denaturation studies. The above measurements indicated that the complex binds less strongly with the CT DNA due to the intercalation by the ruthenium bound acdppz with an intrinsic binding constant of 2.6 × 10⁵ M⁻¹. Molecular-modeling studies also support an intercalative mode of binding of the complex to the model duplex d(CGCAATTGCG)₂ possibly from the major groove with a slight preference for GC rich region. Additionally, the title complex promotes the cleavage of plasmid pBR322 DNA upon irradiation under aerobic conditions.     

The DNA binding mechanism of a SSB protein from Lactococcus lactis siphophage p2

Virulent lactococcal phages of the Siphoviridae family are responsible for the industrial milk fermentation failures worldwide. Lactococcus lactis, a Gram-positive bacterium widely used for the manufacture of fermented dairy products, is subjected to infections by virulent phages, predominantly those of the 936 group, including phage p2. Among the proteins coded by lactococcal phage genomes, of special interest are those expressed early, which are crucial to efficiently carry out the phage lytic cycle. We previously identified and solved the 3D structure of lactococcal phage p2 ORF34, a single stranded DNA binding protein (SSBp2). Here we investigated the molecular basis of ORF34 binding mechanism to DNA. DNA docking on SSBp2 and Molecular Dynamics simulations of the resulting complex identified R15 as a crucial residue for ssDNA binding. Electrophoretic Mobility Shift Assays (EMSA) and Atomic Force Microscopy (AFM) imaging revealed the inability of the Arg15Ala mutant to bind ssDNA, as compared to the native protein. Since R15 is highly conserved among lactococcal SSBs, we propose that its role in the SSBp2/DNA complex stabilization might be extended to all the members of this protein family.     

Discovery of a novel DNA binding agent via design and synthesis of new thiazole hybrids and fused 1,2,4-triazines as potential antitumor agents: Computational,spectrometric and in silico studies

New series of furan–thiazole hybrids (3a-f), thiazolo[2,3-c]-1,2,4-triazines (4a-f), their bioisosteres 1,3,4-thiadiazolo[2,3-c]-1,2,4-triazines (8a-d) and 1,2,4-triazino[4,3-b]-1,2,4-triazines (13a-e) were designed, synthesized and evaluated for their in vitro antitumor activities at the National Cancer Institute (NCI, USA). Among the synthesized compounds, 3d was found to exhibit promising broad spectrum antitumor activity (GI₅₀ MG-MID = 14.22 µM) in a five-dose assay against the full panel NCI-cancer cell lines. 3d displayed higher antitumor activity against most tested cancer cell lines than 5-FU as reference. COMPARE analysis and molecular electrostatic potential computational study revealed that 3d probably exerts its antitumor properties through DNA binding similar to Clomesone. Further DNA binding studies using fluorescent terbium (Tb⁺³) probe revealed increased fluroresence of DNA-3d-Tb⁺³ mixture due to damage of the double-stranded DNA. Also, UV–vis absorption study was conducted which showed hyperchromic shift in DNA absorption confirming 3d-induced DNA damage. The assessed potency of 3d-induced DNA damage of calf thymus DNA showed a concentration as low as 2.04 ng/mL for a detectable DNA damage. Moreover, in silico calculation of physicochemical properties and druglikeness were in compliance to Lipinski’s rule.