Inhibitory effects of polyphenols isolated from marine alga Ecklonia cava on histamine release

In order to clarify the modern anti-allergy activity of crude extract of Ecklonia cava, which is an edible marine brown alga used as food ingredient and folk drug against allergy disease in Korea due to the abundant content of phlorotannin derivatives, the continuous chemical investigation led to the isolation of the two main bioactive phlorotannin derivatives 6,6′-bieckol (3) and 1-(3′,5′-dihydroxyphenoxy)-7-(2′′,4′′,6-trihydroxyphenoxy)-2,4,9-trihydroxydibenzo-1,4-dioxin (4) for the first time from this genus, together with phloroglucinol (1) and dieckol (2). Their structures were confirmedly elucidated by the comprehensive analyses of MS and NMR spectroscopic data. Meanwhile, these derivatives were assessed by histamine release assay on human basophilic leukemia (KU812) and rat basophilic leukemia (RBL-2H3) cultured cell lines, respectively. Furthermore, flow cytometric analysis indicated that the potential anti-allergic mechanism is the suppression of binding activity between IgE and Fc?RI. Finally, the relationships of structure–activity were also suggested. This research indicated that these main derivatives can be used as potential candidates for foodstuff, cosmetic and pharmaceutical industries.     

Untersuchungen zur modifikation der cellobiose und synthese von methyl-2,6-didesoxy-4-O-(6-desoxy-β-D-glucopyranosyl)-α-D-arabino-hexopyranosid (methyl-4-O-β-D-chinovosyl-α-D-olivosid)

Starting with cellobiosides, several different procedures were employed to prepare 6,6′-dichloro-6,6′-dideoxy, 6,6′-dibromo-6,6′-dideoxy, and 6,6′-dideoxy-6,6′-diiodo derivatives. Reduction with lithium aluminum hydride or nickel boride afforded peracetyl derivatives of methyl, phenyl, and benzyl 6-deoxy-4-O-(6-deoxy-β-D-glucopyranosyl)-β-D-glucopyranoside. Following acetolysis or hydrogenolysis, the glycosyl halide and the corresponding-glycal 40 were prepared. Iodomethoxylation of 40 and subsequent reduction gave the title compound. Alternatively, the halomethoxylation products of cellobial hexaacetate gave, by various procedures, the 2,6,6′-trideoxy-2,6,6′-trihalo derivatives, which, in turn, could be reduced to the title compound. The structures of the derivatives prepared were unequivocally assigned by n.m.r. spectroscopy. The various reaction sequences were compared with respect to the number of steps and the yields obtained.     

Structure-Plant Phytotoxic Activity Relationship of 7,7′-epoxylignanes, (+)- and (−)-verrucosin: Simplification on the aromatic ring substituents

The synthesized 7-aryl derivatives of (7R,7′S,8S,8′S)-(+)-verrucosin were applied to growth inhibitory activity test against ryegrass at 1 mM. 7-(3-Ethoxy-4-hydroxyphenyl) derivative 12 and 7-(2-hydroxyphenyl) derivative 4 showed comparable activity to those of (+)-verrucosin against the root (−95%) and the shoot (−60%), respectively. The growth inhibitory activity test against lettuce using synthesized 7-aryl derivatives of (7S,7′R,8R,8′R)-(−)-verrucosin at 1 mM showed that the activities of 7-(3-hydroxyphenyl) derivative 20 and 7-(3-ethoxy-4-hydroxyphenyl) derivative 28 are similar to that of (−)-verrucosin against the root (−95%). Against the shoot, 7-(3-hydroxyphenyl) derivative 20 showed higher activity (−80%) than that of (−)-verrucosin (−60%). As the next step, (7S,7′R,8R,8′R)-7-(3-hydroxyphenyl)-7′-aryl-(−)-verrucosin derivatives, in which the most effective 3-hydroxyphenyl group is employed as 7-aromatic ring, were synthesized for the assay against lettuce. In this experiment, 7′-(2-hydroxyphenyl) derivative 37 and 7′-(3-hydroxyphenyl) derivative 38 showed similar activity to that of derivative 20. The effect of 7- and 7′-aryl structures of 7,7′-epoxylignanes on the plant growth inhibitory activity was clarified. The 7- and 7′-aryl structures were simplified to show comparable activity to or higher activity than that of (−)-verrucosin. The plant growth inhibitory activity of a nutmeg component, (+)-fragransin C_3b, was estimated as −80% inhibition at 1 mM against ryegrass roots.     

Fungal metabolites of xanthohumol with potent antiproliferative activity on human cancer cell lines in vitro

Xanthohumol (1) and xanthohumol D (2) were isolated from spent hops. Isoxanthohumol (3) was obtained from xanthohumol by isomerisation in alkaline solution. Six metabolites were obtained as a result of transformation of xanthohumol (1) by selected fungal cultures. Their structures were established on the basis of their spectral data. One of them: 2″-(2′′′-hydroxyisopropyl)-dihydrofurano-[4″,5″:3′,4′]-4′,2-dihydroxy-6′-methoxy-α,β-dihydrochalcone (6) has not been previously reported in the literature. The antioxidant properties of hops flavonoids and xanthohumol derivatives were investigated using the 2,2′-diphenyl-1-picrylhydrazyl (DPPH) radical scavenging method. The effects of these compounds on proliferation of MCF-7, PC-3 and HT-29 human cancer cell lines were determined by the SRB assay. With the exception of one metabolite, all tested compounds showed antiproliferative activity against the tested human cancer lines. α,β-Dihydroxanthohumol (4), obtained through the biotransformation of xanthohumol, showed higher antiproliferative activity against MCF-7 human breast carcinoma cell line than cisplatin, a widely used anticancer therapeutic agent, and a comparably high activity against PC-3 human prostate cancer cell line.     

Synthesis of derivatives of methyl β-sophoroside

Selective tritylation of methyl β-sophoroside (1) and subsequent acetylation gave the 3,4,2′,3′,4′-penta-O-acetyl-6,6′-di-O-trityl derivative, which was O-detritylated, and the product p-toluenesulfonylated, to give methyl 3,4,2′,3′,4′-penta-O-acetyl-6,6′-di-O-p-tolylsulfonyl-β-sophoroside (4) in 63% net yield. Compound 4 was also obtained in 69% yield by p-toluenesulfonylation of 1, followed by acetylation. Several, 6,6′-disubstituted derivatives of 1 were synthesized by displacement reactions of 4 with various nucleophiles. Treatment of 4 with sodium methoxide afforded methyl 3,6:3′,6′-dianhydro-β-sophoroside. Several 6- and 6′-monosubstituted derivatives of 1 were prepared, starting from the 4,6-O-benzylidene derivative of 1.     

Catechol thioethers with physiologically active fragments: Electrochemistry,antioxidant and cryoprotective activities

A number of asymmetrical thioethers based on 3,5-di-tert-butylcatechol containing sulfur atom bonding with physiologically active groups in the sixth position of aromatic ring have been synthesized and the electrochemical properties, antioxidant, cryoprotective activities of new thioethers have been evaluated. Cyclic voltammetry was used to estimate the oxidation potentials of thioethers in acetonitrile. The electrooxidation of compounds at the first stage leads to the formation of o-benzoquinones. The antioxidant activities of the compounds were determined using 2,2′-diphenyl-1-picrylhydrazyl radical (DPPH) assay, experiments on the oxidative damage of the DNA, the reaction of 2,2′-azobis(2-amidinopropane hydrochloride) (AAPH) induced glutathione depletion (GSH), the process of lipid peroxidation of rat liver (Wistar) homogenates in vitro, and iron(II) chelation test. Compounds 1–9 have greater antioxidant effectiveness than 3,5-di-tert-butylcatechol (CatH₂) in all assays. The variation of physiologically active groups at sulfur atom allows to regulate lipophilic properties and antioxidant activity of compounds. Thioethers 3, 4 and 7 demonstrate the combination of radical scavenging, antioxidant activity and iron(II) binding properties. The researched compounds 1–9 were studied as possible cryoprotectants of the media for cryopreservation of the Russian sturgeon sperm. Novel cryoprotective additives in cryomedium reduce significantly the content of membrane-permeating agent (DMSO). A cryoprotective effect of an addition of the catechol thioethers depends on the structure of groups at sulfur atom. The cryoprotective properties of compounds 3, 4 and 7 are caused by combination of catechol fragment, bonded by a thioether linker with a long hydrocarbon chain and a terminal ionizable group or with a biologically relevant acetylcysteine residue.     

The first replacement of a chlorosulphonyloxy group by chlorine at C-2 in methyl α-D-glucopyranoside and sucrose derivatives

Treatment of methyl 3-O-acetyl-4,6-O-benzylidene-α-D-glucopyranoside 2-chlorosulphate (2), 3,4,6,3′,4′,6′-hexa-O-acetylsucrose 2,1′-bis(chlorosulphate), 3,4,6,3′,4′,6′-hexa-O-acetyl-1′-O-benzoylsucrose 2-chlorosulphate, and 3,4,3′,4′-tetra-O-acetyl-6,6′-dichloro-6,6′-dideoxysucrose 2,1′-bis(chlorosulphate) with lithium chloride in hexamethylphosphoric triamide gave the corresponding chlorodeoxy-manno derivatives. Treatment of the 2-chlorosulphate 2 with such nucleophilic reagents as lithium bromide, sodium azide, sodium chloride, and sodium benzoate in hexamethylphosphoric triamide gave the 2-hydroxy compound as a major product. Selective chlorination at C-1′ was achieved when 3,4,6,3′,4′,6′-hexa-O-acetylsucrose was treated with sulphuryl chloride in a mixture of pyridine and chloroform.     

Discovery of 4′-OH-flurbiprofen Mannich base derivatives as potential Alzheimer’s disease treatment with multiple inhibitory activities

A series of 4′-OH flurbiprofen Mannich base derivatives were designed, synthesized and evaluated as potential multifunctional agents for the treatment of Alzheimer’s disease. The biological screening results indicated that most of these derivatives exhibited good multifunctional activities. Among them, compound 8n demonstrated the best inhibitory effects on self-induced Aβ_1-42 aggregation (65.03% at 25.0?μM). Moreover, this representative compound also exhibited good antioxidant activity, biometal chelating ability and anti-neuroinflammatory activity in vitro. Furthermore, compound 8n displayed appropriate blood-brain barrier permeability. These multifunctional properties highlight compound 8n as promising candidate for further development of multi-functional drugs against AD.     

Synthesis and reactions of cyclic acetal derivatives of 6,6′-dichloro-6,6′-dideoxysucrose

Treatment of 6,6′-dichloro-6,6′-dideoxysucrose with a combination of 2,2-dimethoxypropane, N,N-dimethylformamide, and toluene-p-sulphonic acid (reagent A), followed by acetylation, gave the 1′,2:3,4-diacetal 1 (39%) and the 1′,2-acetal 2 (37%). A similar reaction of methyl 6-chloro-6-deoxy-α-D-glucopyranoside with reagent A yielded the corresponding 2,3- and 3,4-acetal derivatives in yields of 29% and 9%, respectively. The structures of 1 and 2 have been confirmed by ¹H-n.m.r. spectroscopy and by chemical transformations.     

Synthesis of novel 2-amino-4-(5′-substituted 2′-phenyl-1H-indol-3′-yl)-6-aryl-4H-pyran-3-carbonitrile derivatives as antimicrobial and antioxidant agents

As a part of systematic investigation of synthesis and biological activities of indole analogues linked to various heterocyclic systems, we have synthesized new compounds viz., 2-amino-4-(5′-substituted 2′-phenyl-1H-indol-3′-yl)-6-aryl-4H-pyran-3-carbonitriles (2a–i), 4,5-diamino-6-(5′-substituted 2′-phenyl-1H-indol-3′-yl)-8-aryl-2-oxo-2,6-dihydrodipyrano [2,3-b:3,2-e]pyridine-3-carbonitriles (3a–i), 4-amino-5-(5′-substituted 2′-phenyl-1H-indol-3-yl)-7-aryl-1H-pyrano[2,3-d]pyrimidin-2(5H)-ones (4a–i), 4-amino-5-(5′-substituted 2′-phenyl-1H-indol-3′-yl)-7-aryl-1H-pyrano[2,3-d]pyrimidin-2(5H)-thiones (5a–i), 4-(5′-subtituted 2′-phenyl-1H-indol-3′-yl)-6-aryl-1,4-dihydropyrano[2,3-c]pyrazol-3-amines (6a–i) and 5-(5′-substituted 2′-phenyl-1H-indol-3′-yl)-7-aryl-3H-pyrano[2,3-d]pyrimidin-4(5H)-ones (7a–i). Antibacterial activity results revealed that, compound 6a showed promising activity versus Escherichia coli, Staphylococcus aureus and Klebsiella pneumoniae. Compound 6d exhibited good activity against S. aureus, K. pneumoniae and Pseudomonas aeruginosa. Antifungal activity results indicated that, compound 4d exhibited maximum zone of inhibition against Aspergillus oryzae and Aspergillus flavus. In case of antioxidant activity, compound 4a showed promising radical scavenging activity, ferric ions (Fe³⁺) reducing antioxidant power (FRAP) and metal chelating activity.     

Antitubulin effects of aminobenzothiophene-substituted triethylated chromones

In the course of our continuing studies on the 2-(benzo[b]thiophene-3′-yl)-6,8,8-triethyldesmosdumotin B (TEDB-TB) series, we designed and synthesized nine amino-TEDB-TB derivatives to improve pharmaceutical properties, identify structure activity relationships, and discover novel antitubulin agents. Among all newly synthesized amino-TEDB-TBs, the 5′- and 6′-amino derivatives, 6 and 7, exhibited significant antiproliferative activity against five human tumor cell lines, including an MDR subline overexpressing P-gp. The IC₅₀ values of 0.50–1.01 µM were 3–6 times better than those of previously reported hydroxy-TEDB-TBs. Compounds 6 and 7 inhibited tubulin polymerization, induced both depolymerization of interphase microtubules and multiple spindle formations, and caused cell arrest at prometaphase. Among all compounds, compound 7 scored best pharmaceutically with LogP 2.11 and biologically with greater antiproliferative activity and induction of cell cycle arrest at prometaphase.     

Chemical constituents from Oncocalyx glabratus and their biological activities

Chemical investigation of the aerial parts of Oncocalyx glabratus resulted in the isolation of three new flavan derivatives, 5,3′,4′-trihydroxyflavan 7-O-gallate (1), 5,4′-dihydroxyflavan 7-3′-O-digallate (2) and 5,3′-dihydroxyflavan 7-4′-O-digallate (3), named oncoglabrinol A, B and C, respectively, together with four known flavonols, (+)-catechin (4), (+)-catechin-7-O-gallate (5), catechin-7-4′-O-digallate (6A) and catechin-7-3′-O-digallate (6B). The structures of the compounds were established by 1D, 2D NMR and ESI-HRMS spectral analyses. The biological activity of the compounds was tested through a series of in vitro assays designed for determining cytotoxicity, antiviral activity against hepatitis B virus, and antidiabetic activity. All compounds were found non-toxic and showed moderate anti-HBV activity. Compounds 3 and 6 showed dual PPAR agonistic activity while others were not effective.     

Reaction of methanesulphonyl chloride-N,N-dimethylformamide with partially esterified derivatives of sucrose

Treatment of sucrose 2,3,3′,4′,6-penta-acetate (1) with methanesulphonyl chloride-N,N-dimethylformamide (reagent A) gave the 1′,4,6′-trichloride 2, the 1′-O-formyl-4,6′-dichloride 3, the 4,6′-dichloride 4, and the 1′,4-di-O-formyl-6′-chloride 5. De-esterification of 3 afforded the unsubstituted 4,6′-dichloride 6 which, on acetylation, gave the corresponding hexa-acetate 7, also prepared by acetylation of 4. In compounds 2, 3, and 4, substitution at C-4 by chloride ion occurred with inversion of configuration. The structure of 5 was confirmed by conversion into the known 6′chloro-6′-deoxysucrose hepta-acetate by de-esterification followed by acetylation. Treatment of sucrose 1′,2,3,3′,4′,6′-hexa-acetate (10) with the reagent gave the 4,6-dichloride 11 and 4-O-formyl-6-chloride 12. The formyl group in 12 was selectively removed by using an anion-exchange resin to give 16. De-esterification of 12 with methanolic sodium methoxide gave 6-chloro-6-deoxysucrose (13) which, on acetylation and benzoylation, afforded the hepta-acetate 14 and the hepta-benzoate 15, respectively. Alternatively, 15 was prepared by the reaction of 1′,2,3,3′,4,4′,6′-hepta-O-benzoylsucrose with reagent A. Treatment of 14 with sodium methoxide in methanol followed by acetylation gave 3,6-anhydrosucrose hexa-acetate (24). Reaction of sucrose 2,3,3′,4,4′-pentabenzoate (17) with reagent A gave the known 1′,6,6′-trichloro-1′,6,6′-trideoxysucrose pentabenzoate (18) and 1′-O-formyl-6,6′-dichloride 19. Treatment of 19 with anion-exchange resins selectively removed the formyl group to give 20. The structure of 20 was confirmed by conversion into the 1′-chlorosulphate-6,6′-dichloride (21). Treatment of sucrose 1′,2,3,3′,4,4′-hexabenzoate (22) with reagent A gave the expected 6,6′-dichloride (23).     

Antioxidant activity of benzoxazolinonic and benzothiazolinonic derivatives in the LDL oxidation model

A series of benzazolone compounds were synthesized utilizing benzoxazolinonic and benzothiazolinonic heterocycles as the building unit. The antioxidant activity of these compounds was determined by inhibition of lipid peroxidation. The oxidation of LDL was induced in the presence of CuSO₄ or 2,2′-azobis(2-amidinopropane) dihydrochloride (AAPH). The protective action of these compounds against the cytotoxicity was evaluated with lactate dehydrogenase (LDH) activity in bovine aortic endothelial cells (BAECs) and cellular vitality by measuring mitochondrial activity in the presence of MTT (3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide). The best antioxidant activities were observed for phenolic compounds 13 and 14b with ratio R = 2.5, 3.2 (5 μM). Both of these test substances increased the cell viability significantly as indicated by MTT assay and LDH release assay.     

Design and synthesis of quinazoline-3,4-(4H)-diamine endowed with thiazoline moiety as new class for DPP-4 and DPPH inhibitor

New N3-benzylidene (substituted)-2-phenyl-N4-(thiazol-2-yl)-quinazoline-3,4-(4H)-diamine derivatives were design and synthesized by a sequence of reactions starting from appropriate 6-methyl anthranilic acid. The title compounds were screened for in vitro dipeptidyl peptidase IV (DPP-4) inhibitory activity and diphenyl-2-picryl-hydrazyl (DPPH) assay and results showed significant to good activity in compared to Linagliptin for antidiabetic activity and Ascorbic acid for antioxidant activity. Compound 7g (IC₅₀ = 0.76 nM) exhibited most promising DPP-4 inhibitory activity and also showed good antioxid and result. Docking study was also performed to provide an insight about the binding mode into binding sites of DPP-4 enzyme. Hopefully in future, compound 7g could be used as a lead compound for developing new antidiabetic agent with good antioxidant property.     

Design,synthesis, and evaluation of resveratrol derivatives as Aß1–42 aggregation inhibitors,antioxidants, and neuroprotective agents

A series of novel resveratrol derivatives were designed, synthesised and evaluated as potential therapeutic agents for the treatment of Alzheimer’s disease. Among these compounds, compound 7l, (E)-5-(4-(isopropylamino)styryl)benzene-1,3-diol, exhibited potent ß-amyloid aggregation inhibition activity, which was confirmed by a ThT fluorescence assay (71.65% at 20 μM) and transmission electron microscopy (TEM). Compound 7l also exhibited good antioxidant activity (4.12 Trolox equivalents in an oxygen radical absorbance capacity assay and a 37% reduction in reactive oxygen species in cells at 10 μM). The cytotoxicity analysis of compounds 7f, 7i, 7j and 7l indicated that these compounds have lower toxicities than resveratrol at 60 μM.     

Derivatives of β-D-fructofuranosyl α-D-galactopyranoside

De-etherification of 6,6′-di-O-tritylsucrose hexa-acetate (2) with boiling, aqueous acetic acid caused 4→6 acetyl migration and gave a syrupy hexa-acetate 14, characterised as the 4,6′-dimethanesulphonate 15. Reaction of 2,3,3′4′,6-penta-O-acetylsucrose (5) with trityl chloride in pyridine gave a mixture containing the 1′,6′-diether 6 the 6′-ether 9, confirming the lower reactivity of HO-1′ to tritylation. Subsequent mesylation, detritylation, acetylation afforded the corresponding 4-methanesulphonate 8 1′,4-dimethanesulphonate 11. Reaction of these sulphonates with benzoate, azide, bromide, and chloride anions afforded derivatives of β-D-fructofuranosyl α-D-galactopyranoside (29) by inversion of configuration at C-4. Treatment of the 4,6′-diol 14 the 1,′4,6′-triol 5, the 4-hydroxy 1′,6′-diether 6 with sulphuryl chloride effected replacement of the free hydroxyl groups and gave the corresponding, crystalline chlorodeoxy derivatives. The same 4-chloro-4-deoxy derivative was isolated when the 4-hydroxy-1′,6′-diether 6 was treated with mesyl chloride in N,N-dimethylformamide.     

Syntheses of 6-(2-hydroxy-6-phenylhexyl)-5,6-dihydro-2H-pyran-2-one derivatives and their cytotoxicities

The cytotoxicities against cancer cells (HL-60, HeLa) and insect cells (Sf9) of four stereoisomers of 6-(2-hydroxy-6-phenylhexyl)− 5,6-dihydro-2H-pyran-2-one (1) were evaluated, and then their structure-activity relationships examined. The 2′-dehydroxy derivative 5 of (6 R,2′R)- and (6 R,2′S)-1 showed the highest activity against HeLa cells (IC₅₀ = 1.4 μM). To evaluate the effect of the 2′-hydroxy group of 1, 6R-and 6S-oxetane derivatives were also synthesized and their activities examined. Against HeLa and HL-60 cells, the activities of the less potent stereoisomers were enhanced 3–4-fold by the introduction of the oxetane moieties at the 2′-position. Against the insect cell line (Sf9), phenyl derivative 7 showed the highest activity with an IC₅₀ value of 8.0 μM.     

Synthesis of novel hetero ring fused pyridine derivatives; Their anticancer activity,CoMFA and CoMSIA studies

A series of novel furo[2,3-b]pyridine-2-carboxamide 4a–h/pyrido[3′,2′:4,5]furo[3,2-d] pyrimidin-4(3H)-one derivatives 5a–p were prepared from pyridin 2(1H) one 1 via selective O-alkylation with α-bromoethylester followed by cyclization, then reaction with different aliphatic primary amines to obtain 4 and further reaction with triethyl orthoacetate/triethyl orthoformate. Also prepared novel furo[2,3-b]pyridine-2-carbohydrazide Schiff’s bases 7a–h and pyrido [3′,2′:4,5]furo[3,2-d]pyrimidin-4(3H)-one derivatives 8a–h starting from furo[2,3-b]pyridine carboxylate derivatives 3 by reaction with hydrazine hydrate to form 6 and reaction with diverse substituted aldehydes and cyclization. Products 4a–h, 5a–p, 7a–h and 8a–h were screened against four human cancer cell lines (HeLa, COLO205, Hep G2 and MCF 7) and one normal cell line (HEK 293). Compounds 4e, 4f, 4g, 5h, 7c, 7d, 7e and 7f showed significant anticancer activity against all the cell lines at micro molar concentration and found to be non-toxic to normal cell line. Studies for HeLa, COLO205 and MCF-7 using CoMFA and CoMSIA. Models from 3D-QSAR provided a strong basis for future rational design of more active and selective HeLa, COLO205 and MCF-7 cell line inhibitors.     

Synthesis of methanesulphonamido-benzimidazole derivatives as gastro-sparing antiinflammatory agents with antioxidant effect

A series of 5-methanesulphonamido benzimidazole derivatives were designed by combining the structural features of clinically useful anti-inflammatory drugs (nimesulide and rofecoxib) and antiulcer drugs (lansoprazole, omeprazole, etc.) based on physicochemical and 3D similarity studies. The compounds were evaluated for their anti-inflammatory activity in carrageenan induced rat paw edema model taking rofecoxib and indomethacin as standard drugs. In vitro antioxidant activity of the compounds was assessed by potassium ferricyanide reducing power (PFRAP) assay. The compounds 9, 10 and 11 showed anti-inflammatory activity comparable to the standard group and were also non-ulcerogenic at the test doses. Compounds 6–11 exhibited good antioxidant effect in the concentration range (1.0–50.0 µmol/ml. Preliminary theoretical ADME profiling of the compounds based on computation of selected physicochemical properties showed an excellent compliance with Lipinski’s rule.