Ruthenium(II) Complexes Coupled by Erianin via a Flexible Carbon Chain as a Potential Stabilizer of c-myc G-Quadruplex DNA

Herein, two novel ruthenium(II) complexes coupled by erianin via a flexible carbon chain, [Ru(phen)2(L1-(CH2)4-erianin)](ClO4)2 (L1 = 2-(2-(tri-fluoromethyphenyl))-imidazo [4,5f][1–10]phenanthroline (1) and [Ru(phen)2(L2-(CH2)4-eria)](ClO4)2 (L2 = 2-(4-(tri-fluoromethyphenyl))-imidazo [4,5f][1,10]phenanthroline (2), have been synthesized and investigated as a potential G-quadruplex(G4) DNA stabilizer. Both complexes, especially 2, can bind to c-myc G4 DNA with high affinity by electronic spectra, and the binding constant calculated for 1 and 2 is about 15.1 and 2.05 × 107 M−1, respectively. This was further confirmed by the increase in fluorescence intensity for both complexes. Moreover, the positive band at 265 nm in the CD spectra of c-myc G4 DNA decreased treated with 2, indicating that 2 may bind to c-myc G4 DNA through extern groove binding mode. Furthermore, fluorescence resonance energy transfer (FRET) assay indicated that the melting point of c-myc G4 DNA treated with 1 and 2 increased 15.5 and 16.5 °C, respectively. Finally, molecular docking showed that 1 can bind to c-myc G4 DNA in the extern groove formed by base pairs G7–G9 and G22–A24, and 2 inserts into the small groove of c-myc G4 DNA formed by base pairs T19–A24. In summary, these ruthenium(II) complexes, especially 2, can be developed as potential c-myc G4 DNA stabilizers and will be exploited as potential anticancer agents in the future.


Introduction
G-quadruplex DNA, a secondary conformation of DNA molecules, plays a key role in DNA replication, transcription, and genomic maintenance [1]. Smart tactics have been developed to discover potential candidates through screening small molecules binding and stabilizing G4 DNA. In present research, there are three main therapeutic strategies to study G-quadruplexes as a promising target for cancer therapy. First, small molecular compounds bind to the G4 DNA at the telomere and stabilize its structure to affect the activity of telomerase. For example, several G4 ligands, such as telomatostatin [2], 2,6diamineanthraquinone derivatives [3], and RHPS4 [4], can cause telomere dysfunction. Second, G4 ligand-specific binding with oncogenes such as c-myc, VEGF, and bcl-2 can affect its expression [5]. Third, G4 ligands binding with G4 DNA to enhance its gene instability may be used as a therapeutic method to induce tumor cell apoptosis and autophagy [6].
Recent research suggests that the G-rich sequence of the MYC oncogene can also form a G-quadruplex structure through a Hoogesteen hydrogen bond. C-myc G4 DNA is an important transcription factor overexpressed in 70% of human cancers. The NHE III1 (nucleic acid hypersensitivity element III1) in the promoter region of c-myc is rich in guanine and can form an intramolecular G-quadruplex conformation [7,8]. The aberrant expression of c-myc in cells causes several gene alterations, resulting in the occurrence by using the PCR-stop test. These findings suggest that 2 may act as a possible stabilizer of c-myc G4 DNA.

Synthesis and Characterization
The targeted complexes were prepared according to Scheme 2. As usual, the target complexes 1-2 were obtained by heating the mixture of the intermediate 1b-2b and erianin under the irradiation of microwave at 90 °C for 30 min. Complexes 1b-2b was obtained by heating the mixture of 1a-2a, which was obtained by reflux Ru(phen)2Cl2 . 2H2O with corresponding ligand (L1 or L2) in the solvent of ethylene glycol, and 1,4-dibromobutane in DMF solution at 60 °C for 24 h. The chemical shifts of 1 and 2 in 1 H NMR at 6.51 and 6.73 ppm can be attributed to the erianin benzene ring (Figure 1). The chemical shifts of 1 and 2 at 3.48, 3.57, and 3.70 ppm can be attributed to methoxy group on the erianin. For 1, the chemical shifts at 1.77, 1.97, 3.82, and 4.61 ppm can be attributed to the flexible chain of the compound. The chemical shifts at 7.66, 8.03, and 9.03 ppm can be attributed to H5, H6, and H7 in the phenanthroimidazole ligand, respectively. The chemical shift attributed to the phenanthroline ring appeared at 8.79, 8.41, 8.09, and 7.79 ppm. For 2, the chemical shifts at 7.94 and 8.13 ppm can be attributed to trifluoromethyl-benzene. In addition, the lipophilicity of these complexes was measured by an n-octanol/water partition coefficient (logPo/w) study ( Figure S1). Two erianinmodified ruthenium(II) complexes 1 and 2 exhibited higher logPo/w values (−0.139 and −0.070, respectively) due to the lipophilic nature of their erianin group. In contrast, 1b and 2b observed lower logPo/w values (−0.869 and −0.71, respectively). These data imply that complexes 1 and 2 have higher lipophilicity than 1b and 2b. These results indicated that the introduction of erianin can improve the lipophilicity of ruthenium(II) complexes, making the lipophilicity of 1 and 2 higher than that of complexes 1b and 2b, which may contribute to the transmembrane uptake ability of ruthenium(II) complexes.

Synthesis and Characterization
The targeted complexes were prepared according to Scheme 2. As usual, the target complexes 1-2 were obtained by heating the mixture of the intermediate 1b-2b and erianin under the irradiation of microwave at 90 • C for 30 min. Complexes 1b-2b was obtained by heating the mixture of 1a-2a, which was obtained by reflux Ru(phen) 2 Cl 2 . 2H 2 O with corresponding ligand (L 1 or L 2 ) in the solvent of ethylene glycol, and 1,4-dibromobutane in DMF solution at 60 • C for 24 h. The chemical shifts of 1 and 2 in 1 H NMR at 6.51 and 6.73 ppm can be attributed to the erianin benzene ring (Figure 1). The chemical shifts of 1 and 2 at 3.48, 3.57, and 3.70 ppm can be attributed to methoxy group on the erianin. For 1, the chemical shifts at 1.77, 1.97, 3.82, and 4.61 ppm can be attributed to the flexible chain of the compound. The chemical shifts at 7.66, 8.03, and 9.03 ppm can be attributed to H 5 , H 6 , and H 7 in the phenanthroimidazole ligand, respectively. The chemical shift attributed to the phenanthroline ring appeared at 8.79, 8.41, 8.09, and 7.79 ppm. For 2, the chemical shifts at 7.94 and 8.13 ppm can be attributed to trifluoromethyl-benzene. In addition, the lipophilicity of these complexes was measured by an n-octanol/water partition coefficient (logP o/w ) study ( Figure S1). Two erianin-modified ruthenium(II) complexes 1 and 2 exhibited higher logP o/w values (−0.139 and −0.070, respectively) due to the lipophilic nature of their erianin group. In contrast, 1b and 2b observed lower logP o/w values (−0.869 and −0.71, respectively). These data imply that complexes 1 and 2 have higher lipophilicity than 1b and 2b. These results indicated that the introduction of erianin can improve the lipophilicity of ruthenium(II) complexes, making the lipophilicity of 1 and 2 higher than that of complexes 1b and 2b, which may contribute to the transmembrane uptake ability of ruthenium(II) complexes.

Electronic Spectra Titration Experiments
Electron absorption spectroscopy was used to evaluate the binding behavior of ruthenium(II) complexes coupled with erianin, and their intermediates to c-myc G4 DNA were assessed. Usually, the characterized absorption in electronic spectra of ruthenium(II) undergoes significant hypochromism and red-shift effect, ascribed to the strong interaction between the complexes and DNA. The degree of the change depends on how strongly the binding to the DNA is accomplished.
As shown in Figure 2, the electronic spectra of 1 and 2 exhibit the typical MLCT (metal-to-ligand charge transfer) at about 454 and 453 nm as well as the typical IL (ligand

Electronic Spectra Titration Experiments
Electron absorption spectroscopy was used to evaluate the binding behavior ruthenium(II) complexes coupled with erianin, and their intermediates to c-myc G4 DN were assessed. Usually, the characterized absorption in electronic spectra of ruthenium( undergoes significant hypochromism and red-shift effect, ascribed to the stro interaction between the complexes and DNA. The degree of the change depends on ho strongly the binding to the DNA is accomplished.
As shown in Figure 2, the electronic spectra of 1 and 2 exhibit the typical MLC (metal-to-ligand charge transfer) at about 454 and 453 nm as well as the typical IL (liga

Electronic Spectra Titration Experiments
Electron absorption spectroscopy was used to evaluate the binding behavior of ruthenium(II) complexes coupled with erianin, and their intermediates to c-myc G4 DNA were assessed. Usually, the characterized absorption in electronic spectra of ruthenium(II) undergoes significant hypochromism and red-shift effect, ascribed to the strong interaction between the complexes and DNA. The degree of the change depends on how strongly the binding to the DNA is accomplished.
As shown in Figure 2, the electronic spectra of 1 and 2 exhibit the typical MLCT (metalto-ligand charge transfer) at about 454 and 453 nm as well as the typical IL (ligand internal charge transfer) absorption at about 261 and 263 nm, respectively. The results showed that the hypochromism in IL absorption was 12.3% and 25.4% for 1 and 2, respectively, which was significantly larger than the hypochromism in IL absorption for the comparable intermediates 1b and 2b, which was 4.6% and 9.8%, respectively. Complex 1 exhibited a hypochromism of 9.4% at MLCT absorption, while 2 showed a hyperchromism of 16.6% at MLCT absorption. The hypochromism rate during MLCT absorption increased when compared to intermediates 1b and 2b, where the hypochromism rate during MLCT absorption was 3.5% and 7.9%, respectively. The results show that ruthenium(II) complexes treated with erianin have a greater planar area and thus a stronger binding capacity to c-myc G4 DNA than before the alteration.
Molecules 2023, 28, x FOR PEER REVIEW 5 of 17 internal charge transfer) absorption at about 261 and 263 nm, respectively. The results showed that the hypochromism in IL absorption was 12.3% and 25.4% for 1 and 2, respectively, which was significantly larger than the hypochromism in IL absorption for the comparable intermediates 1b and 2b, which was 4.6% and 9.8%, respectively. Complex 1 exhibited a hypochromism of 9.4% at MLCT absorption, while 2 showed a hyperchromism of 16.6% at MLCT absorption. The hypochromism rate during MLCT absorption increased when compared to intermediates 1b and 2b, where the hypochromism rate during MLCT absorption was 3.5% and 7.9%, respectively. The results show that ruthenium(II) complexes treated with erianin have a greater planar area and thus a stronger binding capacity to c-myc G4 DNA than before the alteration.

Fluorescence Response towards c-myc G-Quadruplex DNA
The fluorescence response of 1 and 2 to c-myc G4 DNA was studied by fluorescence spectra. As shown in Figure 3, ruthenium(II) complexes displayed a strong emission at 590 nm in buffer solution (10 mM Tris-HCl, 100 mM KCl, pH = 7.4) when excited at 466 nm. Moreover, a large Stokes shift (124 nm) was observed, which is beneficial for imaging analysis and more availably reduces the self-quenching and scattering light of the probe [31]. The fluorescence of the ruthenium(II) complexes (1b and 2b) was not significantly changed by the addition of c-myc G4 DNA. In contrast, under the same experimental conditions for 1 and 2, significant fluorescence changes were observed. Interestingly, when c-myc G4 DNA was titrated into solution of 2, the fluorescence intensity increased gradually to about 1.5-fold of the original, suggesting that the compound could effectively intercalate into the hydrophobic region between the base pairs of c-myc G4 DNA, while the aromatic chromophore of the compound was protected from the quenching of solvent molecules. When c-myc G4 DNA was titrated into solution of 1, the fluorescence intensity decreased gradually, indicating that the interaction between the compound and the solvent water causes the fluorescence intensity of the solution to decrease.
In addition, [Ru(bpy) 3 ] 2+ is used as the standard for the calculation of fluorescence quantum yield [32]. According to the formula, the results are shown in Table S1. The results showed that the fluorescence quantum yield of 2 was the highest, which was consistent with the fluorescence titration experiment. Among the four complexes, we found that the fluorescence quantum yield of ruthenium(II) complexes was increased after modification with erianin, indicating that this modification had a certain improvement effect. The results show that 2 can can bind to c-myc G4 DNA with high affinity.

Circular Dichroism (CD) Spectroscopy
Circular dichroism spectroscopy has been used to investigate the conformation change of G4 DNA in the presence of tiny disturbances. In general, there is almost no significant perturbation when small molecules bind to G4 DNA in noncovalent binding and even electrostatic groove binding mode, which can be ascribed to there being no influence on the secondary structure of G4 DNA molecules. When small molecules interact with G4 DNA, an intensity change and red-or blue-shift can be observed [33]. Figure 4 shows the CD spectra of c-myc G4 DNA in the absence and presence of 1 and 2.
As seen in Figure 4, the CD spectra of the parallel G-quadruplex conformation-forming G4 DNA structure made from oligonucleotides pu22 had a positive peak at about 264 nm and a negative peak at approximately 243 nm [30,31]. No obvious spectral changes were seen in the CD spectrum with the addition of 1b and 1 ([c-myc]/[Ru] = 1:6), showing that the interaction between complexes and c-myc G4 DNA barely altered the G-quadruplex structure in a K + solution. The spectra after the addition of 2b and 2 demonstrate that the binding of 2b and 2 resulted in a minor reduction in or enhancement of the positive band in a K + solution at 265 nm. Additionally, a positive induced CD signal was seen in the 290-300 nm region as the concentration of complexes 2b and 2 increased. These findings suggested that 2b and 2 may connect to the c-myc G4 DNA via electrostatic interaction or straightforward groove binding. intercalate into the hydrophobic region between the base pairs of c-myc G4 DNA, while the aromatic chromophore of the compound was protected from the quenching of solvent molecules. When c-myc G4 DNA was titrated into solution of 1, the fluorescence intensity decreased gradually, indicating that the interaction between the compound and the solvent water causes the fluorescence intensity of the solution to decrease. significant perturbation when small molecules bind to G4 DNA in noncovalent binding and even electrostatic groove binding mode, which can be ascribed to there being no influence on the secondary structure of G4 DNA molecules. When small molecules interact with G4 DNA, an intensity change and red-or blue-shift can be observed [33]. Figure 4 shows the CD spectra of c-myc G4 DNA in the absence and presence of 1 and 2. As seen in Figure 4, the CD spectra of the parallel G-quadruplex conformationforming G4 DNA structure made from oligonucleotides pu22 had a positive peak at about

Melting FRET and Competitive FRET Assays
The melting point of c-myc G4 DNA in the presence of 1 and 2 was examined using the FRET (Fluorescence resonance energy transfer) experiment, demonstrating the importance of maintaining the conformation of the G-quadruplex. In fact, the thermal behaviors of DNA in the presence of complexes can provide details about the structural changes that occur when the temperature is elevated, as well as specifics about the potency of interactions between complexes and DNA. An intercalative method of metal complex binding to DNA is indicated by a high Tm value, whereas an electrostatic or groove method is indicated by a low value (1-3 • C) [34].
As shown in Figure 5, the melting point of c-myc G4 DNA increased after the addition of 1, 1b, 2, and 2b, and the ∆Tm values for 1, 1b, 2, and 2b are about 8.0, 13.1, 15.5, and 16.5 • C, respectively. These results suggested that the large DNA-binding affinity of the complexes, especially 2, displayed better stability than other complexes, which accords with the aforementioned results. Moreover, the results also show that 1 and 2 exhibit better stability than 1b and 2b, which means ruthenium(II) complexes can stabilize the G4 DNA better after being modified by erianin via a flexible carbon chain. Moreover, the competitive FRET assay was also performed to confirm the selectivity of arene ruthenium(II) complexes between c-myc G4 DNA and ds26 duplex DNA. In the system of c-myc and complex, ds26 was added as the competitor. As shown in Figure 5, c-myc G4 DNA was affected to varying degrees in the case of excessive ds26 (10-fold, 20-fold, and 40-fold), among which 1 and 2 selectively stabilized c-myc G4 DNA, and, as shown in Figure 5E, the selectivity of 1 and 2 for G4 DNA is better than that of 1b and 2b, indicating that the ruthenium(II) complexes coupled by erianin improve the selectivity of G4 DNA. These results indicated that erianinmodified ruthenium(II) complexes can selectively bind and stabilize c-myc G4 DNA and the introduction of erianin improves the selective stability of the ruthenium(II) complexes to c-myc G4 DNA.

PCR-Stop Assay
PCR-stop assays, using templates containing G-quadruplex sequences, have been used by several researchers to demonstrate ligand binding to G-quadruplexes [35]. We investigated the effects of ruthenium(II) complexes on c-myc G-quadruplex stabilization by the PCR-stop assay. Using Taq polymerase as catalyst, the c-myc template and corresponding primer c-myc rev were combined to form double-stranded DNA. When ruthenium(II) complexes are present in the reaction system, they will promote or stabilize c-myc G4 DNA and block its hybridization, resulting in the halt of PCR reaction.

PCR-Stop Assay
PCR-stop assays, using templates containing G-quadruplex sequences, have been used by several researchers to demonstrate ligand binding to G-quadruplexes [35]. We investigated the effects of ruthenium(II) complexes on c-myc G-quadruplex stabilization by the PCR-stop assay. Using Taq polymerase as catalyst, the c-myc template and corresponding primer c-myc rev were combined to form double-stranded DNA. When ruthenium(II) complexes are present in the reaction system, they will promote or stabilize c-myc G4 DNA and block its hybridization, resulting in the halt of PCR reaction.
As shown in Figure 6, the polymerization extension of c-myc and c-myc rev was inhibited in the presence of 1 and 2. In the presence of the same concentration of 1 and 2, the polymerization elongation of c-myc and c-myc rev is almost not inhibited. These results indicate that the erianin-modified ruthenium(II) complexes 1 and 2 are able to induce and stabilize c-myc G-quadruplex structures and inhibit the amplification of PCR products.

Molecular Docking
To gain further insight into the interaction of G4 DNA with ruthenium(II) complexes, molecular docking studies were carried out. For this purpose, molecular docking studies of 1 and 2 with c-myc G4 DNA of sequence 5′-TGAGGGTGGGTAGGGTGGGTAA-3′ (PDB ID:2L7V) were performed to validate the chosen binding mode and binding site [36].
As shown in Figure 7, the complexes 1 and 2 bind to c-myc G4 DNA mainly by electrostatic interaction mode, and the binding energy is about −6.24 and −5.62 kcal/mol, respectively. In addition, complex 1 can insert into the groove of c-myc G4 DNA, formed by base pairs G7-G9 and G22-A24. The auxiliary ligand of complex 2 can insert into the small groove of c-myc G4 DNA, formed by base pairs T19-A24. Thus, we speculated that there are electrostatic interactions and groove binding modes between ruthenium(II) complexes and c-myc G4 DNA.

Molecular Docking
To gain further insight into the interaction of G4 DNA with ruthenium(II) complexes, molecular docking studies were carried out. For this purpose, molecular docking studies of 1 and 2 with c-myc G4 DNA of sequence 5 -TGAGGGTGGGTAGGGTGGGTAA-3 (PDB ID:2L7V) were performed to validate the chosen binding mode and binding site [36].
As shown in Figure 7, the complexes 1 and 2 bind to c-myc G4 DNA mainly by electrostatic interaction mode, and the binding energy is about −6.24 and −5.62 kcal/mol, respectively. In addition, complex 1 can insert into the groove of c-myc G4 DNA, formed by base pairs G7-G9 and G22-A24. The auxiliary ligand of complex 2 can insert into the small groove of c-myc G4 DNA, formed by base pairs T19-A24. Thus, we speculated that there are electrostatic interactions and groove binding modes between ruthenium(II) complexes and c-myc G4 DNA. Molecules 2023, 28, x FOR PEER REVIEW 11 of 17

Chemicals
All reagents were purchased from commercial suppliers and used without further purification. All buffers were prepared using double-distilled water and used in all experiments. C-myc Pu22 (TGAGGGTGGGTAGGGTGGGTAA) was purchased from General biosystems (Anhui) Co., Ltd (Chuzhou, China). Pu22 was prepared with a concentration of 100 μM using 10 mM Tris-buffer (pH = 7.2, 100 mM KCl). Before the experiment, it was heated at 95 °C for 5 min to denaturate, and then gradually cooled to room temperature and placed in a refrigerator at 4 °C overnight to form G-quadruplex. 1,10-phenylline and 2,2′-bipyridine from Sigma-Aldrich (St. Louis, MO, USA). 1,4dibromobutane from Aladdin reagent (Shanghai, China) Co., Ltd. Ligand and ruthenium(II) complexes were prepared adopting the reported procedure.

Instruments
By using an Anton Paar Monowave 300 microwave reactor, the complexes were synthesized. On a Shimadzu UV2550 spectrophotometer, electronic absorption spectra were captured. Fluorescence studies were performed on an RF-5301PC luminescence spectrophotometer (Shimadzu, Japan). NMR (nuclear magnetic resonance) spectra (500 MHz) were recorded on a Bruker instrument. Electrospray ionization mass spectra (ESI-MS) were recorded on an Agilent 1100 LC-MS. FRET melting and competitive assays were recorded with a Bio-Rad real time PCR (CFX96 Touch). Mitsuwa Chemicals supplied the ruthenium(III) chloride hydrate (Tokyo, Japan).

Chemicals
All reagents were purchased from commercial suppliers and used without further purification. All buffers were prepared using double-distilled water and used in all experiments. C-myc Pu22 (TGAGGGTGGGTAGGGTGGGTAA) was purchased from General biosystems (Anhui) Co., Ltd (Chuzhou, China). Pu22 was prepared with a concentration of 100 µM using 10 mM Tris-buffer (pH = 7.2, 100 mM KCl). Before the experiment, it was heated at 95 • C for 5 min to denaturate, and then gradually cooled to room temperature and placed in a refrigerator at 4 • C overnight to form G-quadruplex. 1,10-phenylline and 2,2 -bipyridine from Sigma-Aldrich (St. Louis, MO, USA). 1,4-dibromobutane from Aladdin reagent (Shanghai, China) Co., Ltd. Ligand and ruthenium(II) complexes were prepared adopting the reported procedure.

Instruments
By using an Anton Paar Monowave 300 microwave reactor, the complexes were synthesized. On a Shimadzu UV2550 spectrophotometer, electronic absorption spectra were captured. Fluorescence studies were performed on an RF-5301PC luminescence spectrophotometer (Shimadzu, Japan). NMR (nuclear magnetic resonance) spectra (500 MHz) were recorded on a Bruker instrument. Electrospray ionization mass spectra (ESI-MS) were recorded on an Agilent 1100 LC-MS. FRET melting and competitive assays were recorded with a Bio-Rad real time PCR (CFX96 Touch). Mitsuwa Chemicals supplied the ruthenium(III) chloride hydrate (Tokyo, Japan).

Synthesis and Characterization of [Ru(phen) 2 (L 1 (CH 2 ) 4 eria)] (ClO 4 ) 2 (1)
Synthesis of [Ru(phen) 2 (L 1 (CH 2 ) 4 eria)] (ClO 4 ) 2 (1) was synthesized following the literature, but with some modifications. Erianin (31.8 mg, 0.1 mmol), 1b (107 mg, 0.1 mmol), sodium methoxide (54 mg, 1 mmol), and DMF (15 mL) were added to a 30 mL quartz reaction tube. N 2 was added at room temperature for 10 min, then irradiated by microwaves for 30 min at 90 • C. Following the reaction, 100 mL of water was added to dilute and sodium perchlorate was added. The mixture was then allowed to stand, and the resulting crude product filtered. The raw material was purified using a neutral alumina column, then the red band was collected by eluting with toluene and acetonitrile, and the solvent was removed by vacuum distillation to yield a red solid chemical, yield: 38%. ESI-MS (in CH 3

Electronic Spectra Titration Experiments
Electron absorption spectroscopy was performed at room temperature to detect the binding affinity between c-myc G4 DNA and the ruthenium(II) complex. The UV absorption curve of the ruthenium(II) complex (20 µM) in 10 mM Tris-HCl 100 mM KCl buffer solution was determined. Electron absorption titrations were recorded by varying the concentration of c-myc G4 DNA and in the 200-800 nm range.

Fluorescence Spectra
The fluorescence spectra of the ruthenium(II) complexes were titrated by successive additions of a stock solution of DNA. A solution of 3 mL 10 mM ruthenium(II) complex was added into the fluorescence colorimetric dish, and the fluorescence spectra of the complex at 500-750 nm were excited with the MLCT peak as the excitation wavelength. A 2 µL measure of c-myc G4 DNA was added to the cube each time, and the scanning was performed after 2 min of mixing to observe the change in the fluorescence emission peak of the ruthenium(II) complex with the addition of DNA. When the fluorescence intensity of the optimal fluorescence emission peak of the ruthenium(II) complex did not change significantly, the drip-addition of DNA was terminated.

Fluorescence Quantum Yields
Fluorescence quantum yield (Φ) refers to the ratio of the number of fluorescence photons emitted by a fluorescent substance after absorbing light to the number of photons absorbed by the excited light, and is an important parameter representing the fluorescence properties of a substance. Fluorescence intensity, and absorbance of the solution of the substance and the control substance, were measured at the same excitation wavelength. The calculation formula is as follows: The fluorescence quantum yields of the sample and standard are represented in the formula by the letters unk and std, respectively. Iunk and Istd stand for the integral regions of the sample's and standard's fluorescence spectra, respectively. Aunk and Astd stand for the sample's and the standard's respective ultraviolet absorbances at the sample's optimal excitation wavelengths, whereas unk and std are the sample's and the standard's respective indexes of refraction. The standard in the current study was [Ru(bpy) 3 ] 2+ (in CH 3 CN, Φ = 0.062).

Circular Dichroism (CD) Spectroscopy
All circular dichroic chromatographic curves were collected on the Jasco I810 circular dichroic chromatograph. The ruthenium(II) complex (0-10 µM) was gradually added to 2 µM) c-myc G4 DNA at 25 • C, and the mixture was blown and balanced for 5 min until the curve changes could not be detected by light. The spectral curves in the range of 200-600 nm were collected at the scanning rate of 200 nm/min. The baseline was subtracted from the sample spectral curve by averaging two scans of the spectrum. Data analysis was performed using Origin9.0 software.

FRET Melting and Competitive FRET Assays
After being diluted in 10 mM Tris-HCl (pH 7.4), 100 mM KCl, and 10 mM Na3AsO4, fluorescently tagged oligonucleotide c-myc G4 DNA (5 -FAM-TGAGGGTGGGTAGGGTGGGTAA-TAMRA-3 ) was annealed by being heated to 90 • C for 5 min, then slowly cooled to room temperature, 4 • C overnight. With a total reaction volume of 25 µL, 0.2 µM of labeled oligonucleotide c-myc G4 DNA, and various concentrations of complexes, the fluorescence curves of FAM at 30-100 • C were observed using a Bio-Rad real-time PCR (CFX96 Touch) detection system. The quantities of c-myc G4 DNA and the ruthenium(II) complexes were also held constant in the competitive FRET tests, and ds26 duplex DNA was used as a competitive binder to test the ruthenium(II) complexes' capacity to bind to c-myc G4 DNA in a selective manner. Using Origin9.0 (Origin Lab Corp. Northampton, America), the final data analysis was carried out.

Polymerase Chain Reaction (PCR-Stop) Assay
The PCR-stop experiment was carried out in a 25 µL volume of 10 × PCR buffer containing c-myc (4 µM), c-myc rev (4 µM), Taq DNA polymerase (2.5 U), dNTPs (160 µM), and various complex concentrations (0, 10, 20, 40, and 80 µM). The above reaction solution was incubated in the PCR machine for 3 min at 95 • C, followed by 30 repeated cycles at 94 • C for 30 s, 58 • C for 30 s, and 72 • C for 30 s. Loading the amplified products on 15% native polyacrylamide gels in 1 × TBE buffer and run for 80 min at 120 V. The polyacrylamide gel was silver-stained and photographed by TILON 600 Imager System.

Molecular Docking
The molecular structure of two ruthenium(II) complexes were optimized using the ADF2019.104 suite program with the GGA: BP86 level of theory and the Mopac method, and the initial PDB structures were produced using Mercury software. We employed the Lamarckian genetic algorithm local search strategy with Auto-Dock 4.2.A to identify the binding mode and binding location of ruthenium(II) complexes in c-myc G4 DNA. The crystal structure of G4 DNA was downloaded from the Protein Data Bank (PDB ID:2L7V) by removing the other subunits of the structure keeping only the A-strand. The Gasteiger charge and other settings are assigned using the AutoDock tool. The DNA active site (x = 2.579, y = −0.627, and z = −4.749) was in the center of the grid box, which was made up of 126 × 126 × 126 points separated by 0.375 Å. Budgeting the binding affinities of each ligand atom was performed using Autogrid, and molecular docking simulation was performed using AutoDock 4.2. The conformation with the lowest binding free energy and the greatest number of cluster members was chosen as the most likely binding conformation. The docking results were visualized using Pymol.

Conclusions
In conclusion, the binding ability and stability of the ruthenium(II) complex coordinates to c-myc G4 DNA was enhanced by the introduction of the natural molecule erianin-modified. It has been discovered that both complexes, particularly 2, have a relative higher affinity for the c-myc G4 DNA. Additionally, it has been demonstrated that both complexes 1 and 2 may externally attach to and stabilize c-myc G4 DNA, as well as down-regulate c-myc production in vitro. In other words, these ruthenium(II) complexes, notably 2, have the potential to be employed in the future as c-myc G4 DNA stabilizers and anticancer agents.
Author Contributions: Z.W. contributed to the PCR-stop assay, molecular docking, data analysis, and wrote the paper. W.L. contributed to electronic spectra, fluorescence spectra, and data analysis. W.L. and P.H. contributed to the synthesis of the target complexes; G.L. and J.W. contributed to CD spectroscopy and FRET assay analysis. W.M. and B.Z. contributed to designing the experiments and revised the manuscript. All authors have read and agreed to the published version of the manuscript.