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Article

Integration of Fuzzy Matter-Element Method and 3D-QSAR Model for Generation of Environmentally Friendly Quinolone Derivatives

Northern Region Persistent Organic Pollution Control (NRPOP) Laboratory, Civil Engineering, Faculty of Engineering and Applied Science, Memorial University, St. John’s, NL A1B 3X5, Canada
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Author to whom correspondence should be addressed.
Int. J. Environ. Res. Public Health 2020, 17(9), 3239; https://doi.org/10.3390/ijerph17093239
Submission received: 19 March 2020 / Revised: 22 April 2020 / Accepted: 30 April 2020 / Published: 6 May 2020

Abstract

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The environmental pollution of quinolone antibiotics (QAs) has caused rising public concern due to their widespread usage. In this study, Gaussian 09 software was used to obtain the infrared spectral intensity (IRI) and ultraviolet spectral intensity (UVI) of 24 QAs based on the Density Functional Theory (DFT). Rather than using two single-factor inputs, a fuzzy matter-element method was selected to calculate the combined effects of infrared and ultraviolet spectra (CI). The Comparative Molecular Field Analysis (CoMFA) was then used to construct a three-dimensional quantitative structure–activity relationship (3D-QSAR) with QAs’ molecular structure as the independent variable and CI as the dependent variable. Using marbofloxacin and levofloxacin as target molecules, the molecular design of 87 QA derivatives was carried out. The developed models were further used to determine the stability, functionality (genetic toxicity), and the environmental effects (bioaccumulation, biodegradability) of these designed QA derivatives. Results indicated that all QA derivatives are stable in the environment with their IRI, UVI, and CI enhanced. Meanwhile, the genetic toxicity of the 87 QA derivatives increased by varying degrees (0.24%–29.01%), among which the bioaccumulation and biodegradability of 43 QA derivatives were within the acceptable range. Through integration of fuzzy matter-element method and 3D-QSAR, this study advanced the QAs research with the enhanced CI and helped to generate the proposed environmentally friendly quinolone derivatives so as to aid the management of this class of antibiotics.

1. Introduction

Quinolone antibiotics (QAs) are a new class of artificially synthesized anti-infective drugs. They are widely used in the treatment of various infectious diseases due to their broad bactericidal spectrum, strong antibacterial properties, low toxicity, few side effects, and low price [1]. They are a class of antibiotics widely applied in veterinary medicine. After usage, QAs will remain in the animal as their original molecular structures or pass through feces and urine in the form of metabolites. These QAs and their metabolites will excrete into the external environment [2]. According to Xander et al. [3], 47 research papers have reported the distribution of QAs in the environment and found that their residues are concentrated worldwide including in Pearl River, Huangpu River, Xiaoqing River, Hai River, Baiyangdian Lake, and Dongting Lake in China; densely populated watersheds such as Lake Ontario in North America, Taft River and in Europe, and Mekong River in Asia. Zhang et al. [4] used the III fugacity model to study the distribution characteristics of QAs in 58 watersheds in China. The results showed that after metabolism in humans and animals, the total amount of QAs excreted from feces and urine is 5.4 × 107 kg. Only 0.02 × 107 kg are removed in wastewater treatment, while the remaining 5.38 × 107 kg still directly enter the receiving environment. Chen et al. [5] used gas chromatography and mass spectrometry to detect QA concentrations in 19 key groundwater monitoring wells in Beijing. The average concentrations of the QAs ciprofloxacin and norfloxacin were found to be 4.9 and 0.2 ng, respectively. In addition, studies have shown that the levels of norfloxacin, ciprofloxacin, and enoxacin in groundwater in Spain, were 64.13, 38.93, 44.47 ng, respectively [6]. Norfloxacin, ciprofloxacin, and enoxacin in the groundwater of a Swedish pharmaceutical company reached 31, 14,000, and 1900 ng, respectively [7]. These studies have shown that the high residual concentrations of QAs are a threat to the environment. QAs accumulate in various aquatic organisms, however, the concentration of different QAs are quite different. QAs, including ofloxacin (2.72 µg/kg), enrofloxacin (762.34 µg/kg), and ciprofloxacin (3.08 µg/kg) were found in bivalve samples [8]. A mean value of ofloxacin (5.58 µg/kg), enrofloxacin (3.08 µg/kg), ciprofloxacin (4.17 µg/kg), and norfloxacin (23.8 µg/kg) were found in the muscles of fish, turtles, and birds from Baiyangdian Lake, China [9]. Li et al. [10] found that among 22 antibiotics, QAs had the highest concentration in 190 mollusks samples with a mean concentration of 86.76 μg/kg dry weight. The investigation of antibiotics in mollusks from Bohai Sea, China, indicated that the mean concentrations of QAs in the mollusks were in the order of “NOR > OFL > CIP > FLE > SAR > LOM > ENR > DIF”. The bioaccumulation capacity of QAs is highly relevant to their molecular structures [10]. Therefore, it is of critical importance that the relationship between QAs molecular structures and their characteristics can be identified, so that environmentally friendly QA derivatives can be generated.
3D quantitative structure–activity relationship (3D-QSAR) models have been utilized to design and develop potent drugs by correlating 3D-structural features of the chemicals with properties of interest [11]. Among the existing 3D-QSAR methods, the Comparative Molecular Field Analysis (CoMFA) and the Comparative Molecular Similarity Indices Analysis (CoMSIA) are extensively used in the current practice of rational drug design [12]. 3D-QSAR has been applied to design environmentally friendly molecules. Wang et al. [13] designed a pentachlorophenol molecule with lower bioaccumulation by 3D-QSAR. Tong et al. [14] studied the design of HIV protease inhibitors by using a certain 3D-QSAR method (CoMFA or CoMSIA). Gu et al. [15] predicted the octanol-water partition coefficient for polychlorinated naphthalenes through 3D-QSAR models. However, there are still very limited studies about the use of 3D-QSAR to predict the environmentally friendly properties of QAs. Zhao et al. [16] combined QSAR/QSPR with molecular docking to examine the biodegradability of C20-carbonyl and the C21-carboxyl groups of fluoroquinolones. Zhao et al. [17] designed new fluoroquinolones using SYBYL-X 2.0. After changing the molecular groups, the photodegradability of new fluoroquinolones increased from 15.04% to 40.92% [17].
To construct a 3D-QSAR model for QA analysis, effective methods for detection of QAs in environmental samples are needed so as to obtain infrared and ultraviolet spectral characteristics of QAs to build the database. Infrared and ultraviolet spectral based analytical methods have been well developed for QA detection. Claine [18], Efthimiadou et al. [19], Skyrianou et al. [20], and Zampakou et al. [21] conducted infrared spectroscopy analysis to detect QAs. Bailac et al. [22] detected quinolones in chicken tissues by liquid chromatography based on ultraviolet spectral analysis. Zampakou et al. [21] studied the interaction of quinolone antimicrobial complexes with calf-thymus deoxyribonucleic acid investigated by ultraviolet spectroscopy. However, 3D-QSAR model development needs a large amount of infrared and ultraviolet spectral characteristics of QAs as inputs. Obtaining such information is expensive and time-consuming. Rather than using experimental analysis to generate infrared and ultraviolet spectral data, theoretical calculation methods [23,24] can assist QAs quantification to speed up the database generation. Among them, the Density Functional Theory (DFT) based calculation has been widely adopted. Qiu [25] et al. used DFT to calculate the infrared and ultraviolet spectra of phthalate esters and their derivatives, and used 3D-QSAR to analyze the spectral changes of phthalates before and after substitution. Yang [26] et al. used DFT to calculate the infrared spectra of 36 polybrominated biphenyl molecules and recorded the highest infrared vibration intensity of each molecule.
DFT can help to obtain either infrared or ultraviolet spectra of QAs. These infrared or ultraviolet spectra information can then feed a 3D-QSAR model as a single-factor input. However, instead of using two single-factor inputs (i.e., infrared spectra intensities and ultraviolet spectra intensities), an infrared-ultraviolet integrated-factor is desired to increase the efficiency and accuracy of a 3D-QSAR model. It is thus essential to introduce an effective method for integrating infrared and ultraviolet spectral characteristics accurately. The fuzzy matter-element analysis theory can serve this purpose. It can solve the multiple parameter evaluation problem of incompatibility through establishing the corresponding matter-element [27]. Yang et al. [28] used the fuzzy matter-element method to assess the water resources carrying capacity of six regions in Huai River, China. Liu and Zou [29] used the fuzzy matter-element evaluation method to assess water quality, obtaining very similar results to the official reported water quality. Compared with the traditional method for superscale calculation, the fuzzy matter-element analysis method has lower workload and would overcome the adverse effects from abnormal values. The integration of fuzzy matter-element method and 3D-QSAR models has a great potential for generating more accurate results, though the topic has not been tackled in previous studies.
In this study, 24 QAs were selected to build the 3D-QSAR models, and among them, marbofloxacin and levofloxacin were selected as the target molecules to be modified. DFT was used obtain infrared and ultraviolet spectra intensities of 24 QAs. The fuzzy matter-element method was adopted to deal with the magnitude of single spectrum (infrared spectral intensity (IRI) and ultraviolet spectral intensity (UVI)) intensities, and the combined effect (CI) values that were obtained. In addition, a 3D-QSAR model based on CI was constructed, and the substituted sites of QAs (improving the CI values) were precisely obtained based on the contour map. The associated CI, IRI, and UVI were investigated and compared. Eventually, the stability, functionality (genetic toxicity), and environmental friendliness (bioaccumulation and biodegradability) of all QA derivatives were evaluated in order to generate more environmentally friendly QA derivatives. This study considers both functionality and environmental friendliness of QA derivatives which leads to a tool for a generation of new antibiotics in the future.

2. Materials and Methods

2.1. Data Sources

The theoretical calculations of the infrared and ultraviolet spectra of the 24 QAs studied in this paper are based on Gaussian-09 software (Gaussian Inc., Wallingford, CT, USA). Gaussian is the most widely used software package for computational and quantum chemistry [30]. Gaussian can be used to process larger molecular weight structures such as anthraquinone, polyhydroxylated anthroquinones, and polyfluorinated dibenzo-p-dioxins for research and calculation [24,31]. DFT is a classical computational method of electronic structure theory which has been frequently used [31]. In most DFT calculations today, the combination of Gaussian orbits is commonly used to represent atomic orbits [32]. The infrared spectrum and ultraviolet spectrum are optimized for the structure of QAs in a gaseous environment at the B3LYP/6-311G (d) level. The infrared spectrum is the optimal structure and its value is calculated and corrected by a correction factor of 0.9614. The ultraviolet spectrum is based on the optimized ground-state and excited-state geometry, calculated using the DFT method [32].

2.2. Calculation of the CI Based on Fuzzy Matter-Element Method

2.2.1. Construction of Composite Fuzzy Matter-Element Matrix about QAs’ CI

The elementary elements of an ordered triad R = (M, C, q) are described by the three matter-elements: quinolones (M), detection type (C), and spectral intensity (q) [33]. There are two types of detection methods of quinolone M: infrared spectrum (C1) and ultraviolet spectrum (C2), corresponding spectral intensities q1, q2, …, q24, and R is called m-dimensional fuzzy matter-element. When all the quantities in the composite matter-element (Rm) have ambiguity, then Rm is called a composite fuzzy matter-element and can be recorded as:
R m n = [   M 1   M 2   M 24 C 1   q 11 q 12   q 124 C 2   q 21 q 22   q 224 ]
where Rmn is m dimensional matter-element for 24 QAs, Cj is the detection type of j-th characteristic (j = 1, 2), Mi the i-th molecule (i = 1, 2, …, 24), qij is the i-th spectral intensity corresponding to the j-th detection type of a molecule.

2.2.2. Determination of Subordination Membership Degree of QAs’ CI

The subordination membership degree indicates the fuzzy value corresponding to the single effect parameter of the infrared and ultraviolet spectrums belonging to the standard value of each single effect parameter. The degree of membership is represented by ηij. The fuzzy matter-element matrix R’mn of the preferential membership can be written as:
R m n = [   M 1   M 2   M 24 C 1   η 11 η 12   η 124 C 2   η 21 η 22   η 224 ]
where R’mn is the priority membership fuzzy matter-element; ηij is the priority membership of the j-th detection type of the i-th molecule belonging to the standard sample, i = 1, 2, …, 24; j = 1, 2. The priority membership can be recorded as:
{ η i j = q i j Max q i j   ( higher   is   the   better ) η i j = Min q i j q i j   ( lower   is   the   better )
where Maxqij represents the maximum value of the spectral intensity in each detection type corresponding to each molecule; Minqij represents the minimum value of the spectral intensity in each detection type corresponding to each molecule. It is easier to detect the effect of infrared and ultraviolet spectra, when the value of the effects is larger. Therefore, the largest index will be used for further calculation.

2.2.3. Determination of Standard Fuzzy Matter-Element and Variance Compound Fuzzy Matter-Element Matrix for the CI of QAs’ IRI and UVI

The m-dimensional standard fuzzy matter-element R0m is the maximum or minimum value of the spectral strength of the superiority of the spectral intensity in each detection type in the fuzzy matter-of-priority membership. The form is as follows:
R 0 m = [   M 0   C 1   η 01 C 2   η 02 ]
where M0 represents the standard sample; η0j represents the maximum value of the membership degree of the j-th detection type.
RΔ of variance compound fuzzy matter element can be written as:
R Δ = [   M 1   M 2   M 24 C 1   Δ 11 Δ 12   Δ 124 C 2   Δ 21 Δ 22   Δ 224 ]
where Δi j= (η0j-ηij)2; because the largest subordination membership degree of this paper is the most optimum, η0j equals to 1.

2.2.4. Determination of Weighting for Evaluation Index of the CI of QAs’ IRI and UVI

The weight determination methods include a subjective weighting approach and objective weighting approach [34]. The subjective weighting approach in this paper uses the empirical method and the objective weighting approach uses the entropy method. The entropy method is calculated according to the following steps:
(1) Construct a judgment matrix R for the infrared spectrum and ultraviolet spectrum of 24 QAs, and normalize R to obtain a normalized judgment matrix A. Determine the entropy of the j-th detection type according to the definition of entropy:
S j = 1 l n n { i = 1 n [ 1 + a i j i = 1 n ( 1 + a i j ) l n 1 + a i j i = 1 n ( 1 + a i j ) ] }   ( i = 1 ,   2 ,   ,   24 ;   j = 1 , 2 )
where Sj is the entropy of the j-th detection type; aij is the fuzzy value of each item in the normalized judgment matrix.
(2) Calculate the entropy weighting of each detection type, it can be recorded as follows:
w j = 1 S j m j = 1 m S j   ( 0 w j 1 ,   j = 1 m w j = 1 )
where wj is the entropy of the j-th detection type, j = 1, 2.
(3) Determine the comprehensive weights of the comprehensive effect parameters of QAs’ infrared and ultraviolet spectra:
The objective weighting wj determined by the entropy method is combined with the subjective weighting θj determined by the empirical method. The comprehensive weighting w’j of each detection type is finally determined as:
w j = ξ θ j + ( 1 ξ )   w j   ( j = 1 , 2 )
where ξ is the preference coefficient of the subjective weighting ξ∈[0,1]. A larger ξ value indicates that the research focuses more on subjective weighting; conversely, a lower ξ indicates that decision makers should pay more attention to objective weighting.

2.2.5. Euclidean Closeness Calculation for the CI of QAs’ IRI and UVI

The Euclidean closeness was used to comprehensively analyze the infrared and ultraviolet spectra of 24 QAs. The calculation formula of Euclidean closeness ei can be determined as follows:
e i = 1 j = 1 m w j Δ i j   ( i = 1 ,   2 ,   , 24 ;   j = 1 , 2 )

2.3. Construction of 3D-QSAR Model to Generate Environmentally Friendly QAs

Based on the database generated from Section 2.2, a 3D-QSAR model was constructed in this paper. The 3D-QSAR analysis was performed using SYBYL-X2.0 software (Tripos Company, St. Louis, USA) [35]. The comprehensive effects of infrared and ultraviolet spectra of 24 QAs were calculated based on the fuzzy matter-element method. When calculating the parameters of the CoMFA field, partial least squares (PLS) analysis was used to establish the relationship between the structure of the target compound and the biological activity [36]. When using PLS analysis, the Leave-One-Out method was used to cross-validate the training set compounds and calculate the cross-validation coefficient q2 and the number of optimal principal components n [37]. Non-cross-validation regression (No Validation) was then used to perform regression analysis and calculate the non-cross-validation coefficient r2, standard deviation SEE, and test value F, in order to complete the establishment of the CoMFA model [38]. In addition, single-effect models of infrared and ultraviolet spectra also follow the above operations to construct CoMFA models of single-effects of infrared and ultraviolet spectra of QAs.

3. Results and Discussion

3.1. Calculation of QAs’ IRI and UVI based on DFT

There are many types of QAs, many of which have different behavioral characteristics and hazards in the environment. Therefore, determining the types of QAs that exist in the environment and extracting spectral information assists prediction and evaluation of the magnitude of the hazards caused by such substances to the environment. In this study, the UVI of 24 QAs were obtained using the DFT method based on the optimized ground-state and excited-state geometry. The IRI of 24 QAs were calculated using the Gaussian 09 software with a correction factor of 0.9614. The intensities of both the infrared and ultraviolet spectrum were optimized in a gaseous environment at the B3LYP/6-311G (d) level. Table 1 lists the calculation results of infrared and ultraviolet spectral intensities of 24 QAs.

3.2. Determination of CI of QAs’ IRI and UVI Based on Fuzzy Matter-Element Method

3.2.1. Subordination Membership Degree, Standard Fuzzy Matter-Element and Variance Compound Fuzzy Matter-Element Matrix

Two characteristics of QAs, infrared and ultraviolet spectrums, were applied and the associated fuzzy membership degree, standard fuzzy matter-element and variance composite fuzzy matter-element matrix of the two spectral intensities were calculated using the fuzzy matter-element method according to Equations (1)–(9). The calculation results are summarized in Table 2, which were used to further calculate the CI of QAs.

3.2.2. Comprehensive Weightings for CI of QAs’ IRI and UVI

The data of the infrared and ultraviolet spectra of QAs are derived from the results of DFT calculations in quantum chemical calculations. Both detection methods have shown similar physical significance when detecting quinolones [39,40]. Therefore, the subjective weighting for both infrared and ultraviolet spectra was set as 0.5. In addition, the obtained data was normalized before calculating the objective weightings. The specific results are shown in Table 3.

3.2.3. CI of QAs’ IRI and UVI

In this study, the Euclidean closeness was calculated by using Equation (9) with the processed single-effect parameters of 24 QAs representing the comprehensive effects of infrared and ultraviolet spectra of these QAs. As presented in Table 4, the CI values obtained based on the fuzzy matter-element method varied from 0.1613 to 0.8958. The dynamic range of the CI values is 5.6, greater than that stated in previous studies [41,42,43,44,45]. It indicated that the CI data set of QAs’ IRI and UVI could be employed to build the associated 3D-QSAR model based on the comprehensive effect.

3.3. Construction and Evaluation of 3D-QSAR Model Based on CI of QAs’ IRI and UVI

3.3.1. Construction of the 3D-QSAR Model

The CI of 16 QAs were randomly selected as data sources. Temafloxacin with the highest CI (e24 = 0.7296) was chosen as the target molecule, 13 QAs as the training set, and the remaining 4 QAs as the testing set (Temafloxacin exists in both the training set and the testing set). Based on these comprehensive effects, a 3D-QSAR model was constructed. SYBYL-X2.0 (Tripos Company, USA) was used in this study to select the lowest energy conformation of the molecule as the dominant stable conformation, and G-H electrical charges (Gasteiger–Huckel) were loaded. The maximum number of optimizations was 10,000 using the Powell energy gradient method, and the energy convergence was limited to 0.005 kJ/mol [46,47]. The optimized molecules were stored in the database for alignment. All molecules were aligned with the pharmacophore characteristic elements in the marked area shown in Figure 1 as the basic skeleton. The structures of selected target molecules, marbofloxacin and levofloxacin are also shown in Figure 1. The CoMFA module will be used to establish the infrared and ultraviolet spectra suitable for QAs by using the basic skeleton for comprehensive effects prediction.

3.3.2. Performance Evaluation of the 3D-QSAR Model

The evaluation results of 3D-QSAR model show that in the CoMFA model, the cross-validation coefficient q2 is 0.67 (q2 > 0.5), and the best principal component n is 3, indicating that the model has a good prediction ability. The cross-validation coefficient R2 is 0.984 (>0.9), the standard error of estimate (SEE) is 0.023, and the F-test value is 179.271, indicating that the model has a good ability to fit and predict [48].
Golbraikh and Ropsha [49] confirmed that the strict QSAR model verification procedures should include internal and external verification. The use of internal verification parameters such as q2 cannot assess the quality of the model. Therefore, external verification methods need to be applied. External verification methods are one of the most valuable verification methods, and were applied to evaluate the predictive ability of the obtained model. The overall predictive ability of the CoMFA model was externally verified by predicting the activity of the compounds in the independent testing set [49]. The predictive ability of the model is represented by the predicted r2pred, and its calculation formula is as follows:
r p r e d 2 = 1 P R E S S S D
In the formula, PRESS refers to the sum of the squared deviations between the calculated and predicted values in the test set, and SD refers to the sum of the squared deviations between the calculated values of the compounds in the test set and the average values of the calculated values of the compounds in the training set.
The constructed CoMFA model was used to predict the activity of the test set molecules, and external verification was performed based on the prediction results (Table 5). The results show that the interaction test coefficient r2pred of the external prediction set is 0.9695 (>0.6) [50]. Tropsha method was also used to evaluate the external prediction ability of this model. The calculation results indicated that r was 0.9932, r2 was 0.9864 (>0.6), k was 1.0269 (0.85 < k < 1.15), k’ was 0.9712 (0.85 < k’ < 1.15), r02 was 0.893, and r0′2 was 0.932. Furthermore, (r2−r02)/r2 = −0.0060 (<0.1) and (r2−r0′2)/r2= 0.0115 (<0.1) The above parameters all met the external verification requirements [51,52], therefore, the constructed 3D-QSAR model has shown a satisfactory external prediction capability.

3.4. Determination of Substitution Characteristics Based on the Contour Maps

In the CoMFA model, the contributions of the steric and electrostatic fields are 68.10% and 31.90%, respectively, suggesting that the steric effect and electrical distribution of the groups will affect CI of QAs. In the steric field, the green area indicates that the introduction of bigger molecular groups in this area can improve the CI of QAs, while the yellow area indicates that the introduction of bigger molecular groups in this area can reduce the comprehensive effect of QAs. In the electrostatic field, the blue area indicates that the addition of positive groups is beneficial to improve the CI of QAs, and the red area indicates that the addition of negative groups is beneficial to the comprehensive effect of QAs.
This study uses marbofloxacin and levofloxacin as examples to modify the substituents at positions 1 (CH3) and 2 (CH3), respectively. From the contour maps of marbofloxacin, it can be seen that the area near the 1-position substituent is mainly blue, indicating that the introduction of a positive group at the 1-position substituent is beneficial to improve the QAs’ CI; the green and red regions near the substituent at position 2 indicate that the introduction of bigger molecular groups and negative groups at the substituent in this position is conducive to improving the comprehensive effect value of the infrared and ultraviolet spectra of QAs. From the contour maps of levofloxacin, it can be seen that the vicinity of the substituent at position 1 is mainly blue, indicating that the introduction of a positively charged group at the substituent in this position is beneficial to improve the CI of QAs. The regions near the 2-position substituent are mainly green and red, indicating that the introduction of bigger molecular groups and negative groups at the 2-position substituent is conducive to improving the CI of QAs (Figure 2).
In summary, the 1- and 2-position substituents of marbofloxacin and levofloxacin were modified, respectively. Among them, positive groups (-H, -SiH3, -C2H5, -PH2, -C3H7, -C4H9, -C5H11) can be introduced at the 1-position substituent of marbofloxacin, and bigger molecular groups and negative groups (-CH2F, -C2H3, -C2H, -CH2OH, -NH2, -NO, -NO2, -CHO, -COOH) can be introduced at the 2-position substituent. A total of 13 single-substituted marbofloxacin derivatives and 57 double-substituted marbofloxacin derivatives. Positive groups (-H, -SiH3, -C2H5, -C3H7, -C4H9, -C5H11) can be introduced at the 1-position substituent of levofloxacin, and bigger molecular groups and negative charged group (-C2H3, -NO, -NO2, -OCH3, -OH, -CN) can be introduced at the 2-position substituent. A total of four single-substituted levofloxacin derivatives and 13 double-substituted levofloxacin derivatives. Thus, a total of 87 QA derivatives were generated. The molecular structures of these derivatives are shown in Table S1.

3.5. Evaluation of Molecular Spectral Characteristics, Functional Characteristics, Environmental Friendliness, and Stability of the QA Derivatives

3.5.1. Molecular Spectral Characteristics

In this paper, the 3D-QSAR model was used to evaluate the CI of 87 QA derivatives. In addition, a single-effect model of infrared spectrum and ultraviolet spectrum was established in order to further verify the feasibility and rationality of the fuzzy matter-element method. Therefore, the single-effect model was used to evaluate the infrared spectrum intensity and ultraviolet spectrum single-effect of 87 QA derivatives (Table 6).
By analyzing the data in Table 6, it can be seen that when the comprehensive effects of 87 QA derivatives were enhanced, the single effects of the IRI and UVI were also enhanced. The average value of the comprehensive effect enhancement range was 186.46%, the average value of the single-effect enhancement amplitude of the infrared spectrum was 69.45%, and the average value of the single-effect enhancement amplitude of the ultraviolet spectrum was 1398.39%. Figure S1 was further generated to reflect the relationship between each QA structure and the associated activities (i.e., IRI, UVI, and CI) with marbofloxacin and levofloxacin used as the target molecules. Results indicated that the molecular design of QA derivatives showed positive effect on all activities with obvious enhancement of IRI, UVI, and CI values.

3.5.2. The Enhancement of CI, IRI, and UVI of QA Derivatives’

The Quantitative Mechanism Analysis of the Spectral Enhancement of QA Derivatives Based on the Contour Map

The contour map is used as the basis for obtaining accurate modification information in the 3D-QSAR model. Its spatial distribution and the size of each colored region are closely related to the activity of the designed derivative molecule. Therefore, this paper used marbofloxacin’s position 2 as an example to compare the combined effect model of the infrared and ultraviolet spectra with the contour map of the single-effect model. A qualitative mechanism analysis of the spectral enhancement of QA derivatives was conducted in order to reveal the effect of the modified information presented in the contour map on the degree of spectral enhancement of the derivative molecule (Figure 3).
According to the contour map of the steric field in the comprehensive effect model, the substituent at position 2 is surrounded by a green region, however, the other positions are also surrounded by green regions. Therefore, it can be considered that the steric field is not significant to the contribution of the 2-position substituent. In the infrared-effect model, there is no colored area near the 2-position substituent, thus, the steric field can be considered to have no contribution to the 2-position substituent in the model. In the ultraviolet-effect model, the green region is near the 2-position substituent, and it is the only green region distribution in the contour map. Therefore, the steric field is considered to have the most significant contribution to the 2-position substitution in the model. According to this, it can be qualitatively considered that the order of the contribution rate of the steric field to the modified position is UVI > CI > IRI.
According to the contour map of the steric field, the red area is distributed near the 2-position substituent; however, because the other positions are also close to red areas, the electrostatic field can be considered not significant to the contribution of the 2-position substituent. In the infrared-effect model, there is no colored area near the 2-position substituent, thus, the electrostatic field can be considered to have no contribution to the 2-position substituent in the model; in the ultraviolet-effect model, the red region is near the 2-position substituent, and it is the only red region distribution in the contour map. Therefore, the electrostatic field is considered to have the most significant contribution to the 2-position substitution in the ultraviolet-effect model. According to this, it can be qualitatively considered that the order of the contribution rate of the electrostatic field to the modified position is the UV single effect model > combined effect model > infrared single effect model.
In summary, according to the modified information provided by the contour map, it can be seen that the order of the contribution rate of the steric and electrostatic fields in the three groups of models are the UV single factor model > combined effect model > infrared single effect model. The results are consistent with spectral enhancement (the average value of the combined effect enhancement amplitude is 186.46%, the average value of the infrared spectrum single effect enhancement amplitude is 69.45%, and the ultraviolet spectrum single effect enhancement amplitude is 1398.39%). This shows that the spectral enhancement amplitude of QA derivatives has a certain internal relationship with the contribution of steric and electrostatic fields to its modified positions. The larger the contribution rate, the larger the corresponding spectral enhancement amplitude.

The Quantitative Mechanism Analysis of the Spectral Enhancement of QA Derivatives Based on the Modified Positions and the Properties of Substituted Groups

In addition to the distribution of colored regions in the contour map, the spectral enhancement amplitude is also affected by the properties of modified positions and the properties of substituted groups. Therefore, the number of modified positions, modified substitutes, and the properties of substituted groups were studied in this paper in order to reveal its intrinsic relationship with the spectral enhancement amplitude (Table 7).
According to the analysis of the data in Table 7, it was found that among the single substitution modification features, seven QA derivatives modified at the 1-position, such as Derivative 1, have an average enhancement range of the CI of 72.06%. The effect enhancement range is 60.02%, and the UV spectrum single effect enhancement range is 339.31%. Derivative 7 and the other 10 QA derivatives modified at the 2-position substituent have an average enhancement range of 113.08%. The single-effect enhancement of the infrared spectrum is 50.80%, and the single-effect enhancement of the ultraviolet spectrum is 421.09%. In the double-substitution modification feature, 70 QA derivatives, such as Derivative 14, are simultaneously modified at the 1- and 2-positions. The average enhancement of the CI is 208.39%, the IRI is 73.05%, and UVI is 1643.92%. From the results, it can be observed that under each substitution feature, the magnitude of the spectral enhancement amplitude in the three groups of models is still the UV single effect model > composite effect model > infrared single effect model, and the results are similar to the size distribution of the color regions in the contour map consistency.
In the comprehensive effect model, the spectral enhancement of QA derivatives obtained by modification at the 1-position, 2-position, and double substitution at 1- and 2-positions were 72.06%, 113.08%, and 208.39%, respectively. In the infrared single-effect model, the spectral enhancement of QA derivatives obtained by modification at the 1-position, 2-position, and double substitution at 1- and 2-positions were 60.02%, 50.80%, and 73.05%, respectively. In the effect model, the spectral enhancement of the QA derivatives obtained by modification at the 1-position, 2-position, and double substitution at 1- and 2-positions were 339.31%, 421.09%, and 1643.92%, respectively. By comparison, it can be found that, with the exception of the infrared single-effect model, the magnitudes of the spectral enhancement amplitudes in the remaining two models are both double-substitution features > 2-position substituent single-substitution features > 1-position substituent single-substitution features. In addition, the nature of the modified group selected for the 1-position substituent increased by 2.92%, the 2-position substituent was 61.93%, and the 1- and 2-position substituents were modified at the same time to 79.43%. The spectral enhancement amplitude has universal consistency, which indicates that the spectral enhancement amplitude of QA derivatives has a certain correlation with the properties of modification sites and groups. As the number of modification sites increases, the nature of the modified molecular groups becomes more prominent, and the spectrum will have a greater magnitude of enhancement.

3.5.3. Molecular Stability Evaluation of QA Derivatives

The 87 QA derivatives designed based on the CoMFA model are used to characterize the stability of 87 QA derivatives in order to further derivatize QAs.
The positive frequency value of the molecule can directly reflect whether the molecule can stably exist in the environment. When the positive frequency value is greater than zero, it indicates that the molecule can exist stably in the environment; otherwise, it cannot [24,53]. In this paper, DFT was used to calculate the positive frequency values of 87 QAs derivatives to verify their stability (Table 8).
From the above results, the positive frequency values of the 87 QA derivatives are all greater than zero, indicating that all 87 QA derivatives designed in this study can stably exist in the environment.

3.5.4. Functional and Environmental Friendliness Evaluation of QA derivatives

Zhao et al. [16,17] selected -lgLOEC (LOEC is the lowest observed effective concentration) to construct a hologram quantitative structure–activity relationship (HQSAR) model of the QAs genetic toxicity. QSAR models were designed independently to predict the genotoxicity, bioaccumulation, and biodegradability of the 87 QA derivatives (Table 9).
Genotoxicity refers to how QAs can selectively inhibit two enzymes that play a role in DNA synthesis in bacteria. Topoisomerase II and IV are two enzymes which interfere with the replication, transcription, repair, and recombination of bacterial DNA. These interferences make it impossible for bacteria to pass down genetic information, which lead to the increase in genotoxicity of QAs, making them conducive to improving the medicinal effect of this class of drugs [54]. According to the prediction results of genotoxicity, compared with marbofloxacin and levofloxacin, the genetic toxicity of 87 QA derivatives increased to varying degrees, and the increase range was 0.24%–29.01%.
The n-octanol-water partition coefficient (Kow) is one of the most important property parameters for studying the environmental behavior of organic matter. This parameter can simulate the distribution behavior of organic matter in lipid and water, and characterize the bioaccumulative ability of organic matter in environmental media. Organic substances with logKow greater than 5.0 are banned worldwide [55]. According to the bioaccumulation prediction results, compared to marbofloxacin and levofloxacin, the bioaccumulation of 49 QA-derived molecules has been reduced to varying degrees, with a decrease of 0.25% to 60.47%, and the remaining 38 QA-derived molecules increased. The bioaccumulation of the molecule has increased to varying degrees, but its logKow value is much lower than 5.0, which is below the banned threshold. Therefore, the bioaccumulation of all 87 QA derivatives are considered to be within the acceptable range.
The biodegradability is expressed by the LibDock Score (LDS) of the oxidoreductase enzyme of Phanerochaete chrysosporium and the QAs in the aerobic process of urban sewage treatment plants. The value of the LDS can represent the biodegradability of QAs [45]. Based on the prediction of biodegradability, it can be seen that compared to marbofloxacin and levofloxacin, the biodegradability of 34 QA derivatives has increased to varying degrees, with an increase of 0.12%–2.52%; for the remaining 53 QA derivatives, the biodegradability of biomolecules has decreased, with a decrease range of 0.12%–16.87%. Among them, the decline of nine QA derivatives is less than 1%, and their biodegradability can be considered unchanged. A total of 43 QA derivatives with increased or unchanged biodegradability can be selected.
In summary, among the 87 QA derivatives designed in this study, the properties of function (genetic toxicity) and environmentally friendliness (bioaccumulation, biodegradability) of 43 QAs are acceptable.

4. Conclusions

Based on DFT and fuzzy matter-element method, the CI of 24 quinolone antibiotics (QAs) were calculated in this study. A 3D-QSAR model was then constructed by using CI as the dependent variable. A total of 87 QA derivatives with enhanced CI and single effects were designed. All of the designed QA derivatives can stably exist in the environment, and the functionality and environmental friendliness of 43 QA derivatives are within the acceptable range. Derivative 3 may be considered as an alternative of marbofloxacin with increased genotoxicity (10.83%) and biodegradability (0.47%), and decreased bioaccumulation (24.83%). Derivative 74 with the improved genotoxicity (17.49%) and biodegradability (0.29%), as well as the decreased bioaccumulation (6.58%), shows a better performance than levofloxacin. In addition, molecules combined with the modification information provided by the contour map were analyzed to identify why the CI of QA derivatives was enhanced. The research output provides theoretical support for obtaining novel antibiotic drug molecules that are easy to detect and less harmful to the environment and human health.

Supplementary Materials

The following are available online at https://www.mdpi.com/1660-4601/17/9/3239/s1, Figure S1: Relationship between each QA structure and the associated activities (i.e., IRI, UVI and CI) with (a) marbofloxacin and (b) levofloxacin used as the target molecules, Table S1: Molecular structures of designed QA derivatives.

Author Contributions

Conceptualization, X.L., B.Z. and B.C.; methodology, X.L.; software, X.L.; validation, X.L.; formal analysis, X.L.; investigation, X.L.; resources, X.L.; analysis, X.L.; data curation, X.L.; writing—original draft preparation, X.L.; writing—review and editing, X.L., B.Z., W.H., C.C., B.C.; supervision, B.Z. and B.C.; project administration, B.Z.; funding acquisition, B.Z. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by Natural Sciences and Engineering Research Council of Canada (NSERC), Canada Research Chair (CRC), and Canadian Foundation of Innovation (CFI).

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. (a) Molecular structure and common skeleton of Temafloxacin; (b) molecular structure of marbofloxacin; (c) molecular structure of levofloxacin.
Figure 1. (a) Molecular structure and common skeleton of Temafloxacin; (b) molecular structure of marbofloxacin; (c) molecular structure of levofloxacin.
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Figure 2. The contour maps of (a) Marbofloxacin (steric field), (b) marbofloxacin (electrostatic field), (c) levofloxacin (steric field), (d) levofloxacin (electrostatic field)
Figure 2. The contour maps of (a) Marbofloxacin (steric field), (b) marbofloxacin (electrostatic field), (c) levofloxacin (steric field), (d) levofloxacin (electrostatic field)
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Figure 3. The contour maps of combined effect model and single effect model of infrared and ultraviolet spectra of marbofloxacin.
Figure 3. The contour maps of combined effect model and single effect model of infrared and ultraviolet spectra of marbofloxacin.
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Table 1. Infrared spectral intensity (IRI) and ultraviolet spectral intensity (UVI) of 24 quinolone antibiotics (QAs).
Table 1. Infrared spectral intensity (IRI) and ultraviolet spectral intensity (UVI) of 24 quinolone antibiotics (QAs).
No.NameIRIUVI
Compound 1Difloxacin1924.762829.18
Compound 2Enrofloxacin1289.584394.34
Compound 3Norfloxacin1180.484627.19
Compound 4Lomefloxacin1788.981950.61
Compound 5Ofloxacin1428.913692.38
Compound 6Pefloxacin1587.113542.25
Compound 7Fleroxacin1882.421842.68
Compound 8Ciprofloxacin1247.654045.59
Compound 9Balofloxacin1368.193220.34
Compound 10Marbofloxacin1265.41264.82
Compound 11Pipemidic acid2430.362563.72
Compound 12Cinoxacin1631.519680.14
Compound 13Enoxacin3427.598254.09
Compound 14Gatifloxacin1363.792835.67
Compound 15Levofloxacin1943.37575.6
Compound 16Rufloxacin1015.14437.85
Compound 17Pazufloxacin800.374259.61
Compound 18Nadifloxacin1623.962878.37
Compound 19Sparfloxacin1185.522542.11
Compound 20Sarafloxacin1539.672605.82
Compound 21Besifloxacin1682.723943.26
Compound 22Clinafloxacin1571.064875.36
Compound 23Grepafloxacin1489.42390.87
Compound 24Temafloxacin2155.958643.35
Table 2. The results of fuzzy membership, standard fuzzy matter-element and variance compound fuzzy matter-element matrix QAs.
Table 2. The results of fuzzy membership, standard fuzzy matter-element and variance compound fuzzy matter-element matrix QAs.
MiR’mnRΔNormalization
C1C2C1C2C1C2
M10.56150.29230.19220.50090.42800.2724
M20.37620.45400.38910.29820.18620.4386
M30.34440.47800.42980.27250.14470.4633
M40.52190.20150.22850.63760.37630.1790
M50.41690.38140.34000.38260.23920.3640
M60.46300.36590.28830.40200.29950.3481
M70.54920.19040.20320.65550.41190.1676
M80.36400.41790.40450.33880.17020.4016
M90.39920.33270.36100.44530.21610.3139
M100.36920.02740.39790.94600.17700.0000
M110.70910.26480.08460.54050.62040.2442
M120.47601.00000.27460.00000.31641.0000
M131.00000.85270.00000.02171.00000.8485
M140.39790.29290.36250.49990.21450.2730
M150.56700.05950.18750.88460.43510.0330
M160.29620.04520.49540.91160.08170.0184
M170.23350.44000.58750.31360.00000.4243
M180.47380.29730.27690.49370.31350.2776
M190.34590.26260.42790.54370.14660.2419
M200.44920.26920.30340.53410.28140.2486
M210.49090.40740.25910.35120.33580.3907
M220.45840.50360.29340.24640.29330.4897
M230.43450.24700.31980.56700.26230.2258
M240.62900.89290.13760.01150.51600.8899
Table 3. The results of objective weightings and comprehensive weightings of QAs’ infrared and ultraviolet spectra.
Table 3. The results of objective weightings and comprehensive weightings of QAs’ infrared and ultraviolet spectra.
EntropyEntropy WeightsComprehensive Weights
S1S2W1W2W’1W’2
−0.9966−0.99500.50020.49980.50010.4999
From the results, it can be seen that the objective weights calculated by the entropy method are 0.5002 and 0.4998, and the comprehensive weights are 0.5001 and 0.4999, which are close to 0.5.
Table 4. Calculation of comprehensive effects of infrared and ultraviolet spectra of 24 QAs based on fuzzy matter-element method.
Table 4. Calculation of comprehensive effects of infrared and ultraviolet spectra of 24 QAs based on fuzzy matter-element method.
eiComprehensive EffectseiComprehensive EffectseiComprehensive Effects
e10.4113e90.3651e170.3288
e20.4138e100.1803e180.3793
e30.4074e110.4409e190.3030
e40.3419e120.6295e200.3529
e50.3989e130.8958e210.4476
e60.4125e140.3433e220.4805
e70.3447e150.2678e230.3341
e80.3904e160.1613e240.7269
Table 5. The predicted combined effects of infrared and ultraviolet spectra (CI) of QAs using Comparative Molecular Field Analysis (CoMFA) model.
Table 5. The predicted combined effects of infrared and ultraviolet spectra (CI) of QAs using Comparative Molecular Field Analysis (CoMFA) model.
No.Calculated ValuePredicted ValueRelative Deviation
a Compound 30.40740.39902.06%
a Compound 40.34190.3540−3.54%
b Compound 70.34470.3970−15.17%
a Compound 80.39040.4170−6.81%
a Compound 90.36510.36200.85%
a Compound 100.18030.16309.60%
a Compound 110.44090.4430−0.48%
a Compound 120.62950.6520−3.57%
a Compound 150.26780.2680−0.07%
a Compound 160.16130.1950−20.89%
b Compound 180.37930.3800−0.18%
b Compound 200.35290.3770−6.83%
a Compound 210.44760.43003.93%
a Compound 220.48050.43908.64%
a Compound 230.33410.32901.53%
a,b Compound 240.72690.72400.40%
a Training set; b Test set.
Table 6. The predicted evaluation of 87 QA derivatives’ molecular spectral characteristic.
Table 6. The predicted evaluation of 87 QA derivatives’ molecular spectral characteristic.
QA DerivativesPosition of
Substitution
CIRelative DeviationIRIRelative DeviationUVIRelative Deviation
1-Position2-Position
MarbofloxacinCH3CH30.1803 1265.4100 264.8200
Derivative 1SiH3-0.282056.41%2046.444661.72%920.4496247.58%
Derivative 2C2H5-0.269049.20%2128.139068.18%749.8942183.17%
Derivative 3PH2-0.285058.07%2051.162262.09%916.2205245.98%
Derivative 4C3H7-0.269049.20%2113.489067.02%711.2135168.56%
Derivative 5C4H9-0.269049.20%2133.044968.57%714.4963169.80%
Derivative 6C5H11-0.269049.20%2133.044968.57%712.8530169.18%
Derivative 7-CH2F0.351094.68%2051.162262.09%1492.7944463.70%
Derivative 8-C2H30.321078.04%2023.019259.87%1205.0359355.04%
Derivative 9-C2H0.310071.94%1976.969656.23%805.3784204.12%
Derivative 10-CH2OH0.293062.51%2013.724259.14%972.7472267.32%
Derivative 11-NH20.303068.05%2051.162262.09%629.5062137.71%
Derivative 12-NO0.353095.78%2009.092858.77%1061.6956300.91%
Derivative 13-NO20.359099.11%1995.262357.68%1142.8783331.57%
Derivative 14SiH3CH2F0.355096.89%2060.629962.84%1442.1154444.56%
Derivative 15PH2CH2F0.351094.68%2046.444661.72%1492.7944463.70%
Derivative 16C3H7CH2F0.8050346.48%2511.886498.50%8729.71373196.47%
Derivative 17C4H9CH2F0.8060347.03%2511.886498.50%8729.71373196.47%
Derivative 18C5H11CH2F0.8060347.03%2511.886498.50%8729.71373196.47%
Derivative 19HC2H30.8150352.02%2624.2185107.38%9571.94073514.51%
Derivative 20SiH3C2H30.8210355.35%2630.2680107.86%9354.05673432.23%
Derivative 21C2H5C2H30.8190354.24%2630.2680107.86%9332.54303424.11%
Derivative 22PH2C2H30.8180353.69%2630.2680107.86%9506.04793489.63%
Derivative 23C3H7C2H30.8210355.35%2636.3314108.34%8356.03023055.36%
Derivative 24C4H9C2H30.8210355.35%2636.3314108.34%8298.50773033.64%
Derivative 25C5H11C2H30.8210355.35%2654.6056109.78%7870.45792872.00%
Derivative 26HC2H0.8160352.58%2570.3958103.13%9549.92593506.20%
Derivative 27SiH3C2H0.8210355.35%2594.1794105.01%9141.13243351.83%
Derivative 28C2H5C2H0.8210355.35%2612.1614106.43%8974.28793288.83%
Derivative 29PH2C2H0.8170353.13%2588.2129104.54%9484.18463481.37%
Derivative 30C3H7C2H0.7960341.49%2588.2129104.54%6180.16402233.72%
Derivative 31C4H9C2H0.7960341.49%2588.2129104.54%5807.64422093.05%
Derivative 32C5H11C2H0.7950340.93%2588.2129104.54%5754.39942072.95%
Derivative 33HCH2OH0.8200354.80%2523.480899.42%9660.50883547.95%
Derivative 34SiH3CH2OH0.8260358.13%2535.1286100.34%9397.23313448.54%
Derivative 35C2H5CH2OH0.8250357.57%2535.1286100.34%8749.83783204.07%
Derivative 36PH2CH2OH0.8220355.91%2529.298099.88%9616.12283531.19%
Derivative 37C3H7CH2OH0.8230356.46%2523.480899.42%8933.05483273.26%
Derivative 38C4H9CH2OH0.8230356.46%2529.298099.88%8974.28793288.83%
Derivative 39C5H11CH2OH0.8230356.46%2529.298099.88%8974.28793288.83%
Derivative 40HNH20.7920339.27%2546.8303101.27%8609.93753151.24%
Derivative 41SiH3NH20.8000343.70%2558.5859102.19%8317.63773040.86%
Derivative 42C2H5NH20.8020344.81%2582.2602104.07%8336.81183048.11%
Derivative 43PH2NH20.8010344.26%2582.2602104.07%8336.81183048.11%
Derivative 44C3H7NH20.7720328.18%2594.1794105.01%6123.50392212.33%
Derivative 45C4H9NH20.345091.35%2162.718570.91%2805.4336959.37%
Derivative 46C5H11NH20.3730106.88%2187.761672.89%2792.5438954.51%
Derivative 47HNO0.320077.48%2137.962168.95%1606.9413506.81%
Derivative 48SiH3NO0.273051.41%2192.804973.29%1166.8096340.60%
Derivative 49C2H5NO0.242034.22%2157.744470.52%984.0111271.58%
Derivative 50PH2NO0.4150130.17%1972.422755.87%2074.9135683.52%
Derivative 51C3H7NO0.244035.33%2128.139068.18%990.8319274.15%
Derivative 52C4H9NO0.246036.44%2137.962168.95%933.2543252.41%
Derivative 53C5H11NO0.246036.44%2128.139068.18%937.5620254.04%
Derivative 54HNO20.317075.82%2079.696764.35%1534.6170479.49%
Derivative 55SiH3NO20.253040.32%2113.489067.02%1156.1122336.57%
Derivative 56C2H5NO20.234029.78%2094.112565.49%1324.3415400.09%
Derivative 57C3H7NO20.235030.34%2074.913563.97%918.3326246.78%
Derivative 58C4H9NO20.236030.89%2089.296165.11%889.2011235.78%
Derivative 59C5H11NO20.236030.89%2089.296165.11%870.9636228.89%
Derivative 60HCHO0.4500149.58%1981.527056.59%3019.95171040.38%
Derivative 61SiH3CHO0.4110127.95%1896.705949.89%2488.8573839.83%
Derivative 62C2H5CHO0.327081.36%1909.853350.93%1753.8805562.29%
Derivative 63C3H7CHO0.313073.60%1918.668751.62%1774.1895569.96%
Derivative 64C4H9CHO0.326080.81%1927.524952.32%2032.3570667.45%
Derivative 65C5H11CHO0.327081.36%1923.091751.97%2018.3664662.17%
Derivative 66HCOOH0.4550152.36%2065.380263.22%2951.20921014.42%
Derivative 67SiH3COOH0.3960119.63%2074.913563.97%2301.4418769.06%
Derivative 68C2H5COOH0.317075.82%1995.262357.68%1923.0917626.19%
Derivative 69C3H7COOH0.303068.05%1986.094956.95%1905.4607619.53%
Derivative 70C4H9COOH0.313073.60%1986.094956.95%2108.6281696.25%
LevofloxacinCH3CH30.2678 1943.3700 575.6000
Derivative 71C4H9 0.7850193.13%2409.905424.01%7430.19141190.86%
Derivative 72C4H9C2H30.7500180.06%2636.331435.66%5834.4510913.63%
Derivative 73C3H7OH0.7430177.45%2552.701331.35%2108.6281266.34%
Derivative 74C3H7OH0.6690149.81%2328.091319.80%1741.8069202.61%
Derivative 75HOH0.7210169.23%2404.362823.72%3881.5037574.34%
Derivative 76 OCH30.7670186.41%2488.857328.07%7328.24531173.15%
Derivative 77C2H5OCH30.7420177.07%2624.218535.03%5296.6344820.19%
Derivative 78SiH3OCH30.7560182.30%2529.298030.15%7533.55561208.82%
Derivative 79C5H11OCH30.7560182.30%2477.422127.48%1496.2357159.94%
Derivative 80C3H7CN0.7550181.93%2618.183034.72%6095.3690958.96%
Derivative 81SiH3NO0.7560182.30%2275.097417.07%3169.5675450.65%
Derivative 82 NO20.7530181.18%2642.408835.97%5035.0061774.74%
Derivative 83C2H5NO20.7590183.42%2466.039326.89%5223.9619807.57%
Derivative 84SiH3NO20.7680186.78%2387.811322.87%7177.94291147.04%
Derivative 85C3H7NO20.7530181.18%2506.109328.96%5105.0500786.91%
Derivative 86C4H9NO20.7540181.55%2588.212933.18%5495.4087854.73%
Derivative 87 CHO0.7850193.13%2488.857328.07%1741.8069202.61%
Table 7. The modified positions and properties of 87 QAs Derivatives.
Table 7. The modified positions and properties of 87 QAs Derivatives.
Molecular Substitution TypeQA Derivatives Modified Positions and Properties of Substituted Groups
1-Position PositiveRelative Deviation2-Position NegativeRelative Deviation2-Position Bigger GroupRelative Deviation2-Position Coupling1, 2-Position Coupling
Marbofloxacin/Levofloxacin2.331-2.331-15---
MonosubstitutionDerivative 12.1209.05%------
Derivative 22.3150.69%------
Derivative 32.1547.59%------
Derivative 42.3140.73%------
Derivative 52.3130.77%------
Derivative 62.3120.82%------
Derivative 712.3130.77%------
Derivative 7--2.64413.43%33120.00%66.71%-
Derivative 8--2.3581.16%2780.00%40.58%-
Derivative 9--2.5308.54%2566.67%37.60%-
Derivative 10--2.4916.86%31106.67%56.77%-
Derivative 11--2.4374.55%166.67%5.61%-
Derivative 12--2.92025.27%30100.00%62.63%-
Derivative 13--3.10433.16%46206.67%119.91%-
Derivative 76--2.4605.53%31106.67%56.10%-
Derivative 82--3.10433.16%46206.67%119.91%-
Derivative 87--2.64713.56%2993.33%53.44%-
DisubstitutedDerivative 142.1209.05%2.64413.43%33120.00%85.90%94.95%
Derivative 152.1547.59%2.64413.43%33120.00%85.90%93.49%
Derivative 162.3140.73%2.64413.43%33120.00%85.90%86.63%
Derivative 172.3130.77%2.64413.43%33120.00%85.90%86.67%
Derivative 182.3120.82%2.64413.43%33120.00%85.90%86.71%
Derivative 192.2005.62%2.3581.16%2780.00%54.77%60.39%
Derivative 202.1209.05%2.3581.16%2780.00%54.77%63.82%
Derivative 212.3150.69%2.3581.16%2780.00%54.77%55.46%
Derivative 222.1547.59%2.3581.16%2780.00%54.77%62.36%
Derivative 232.3140.73%2.3581.16%2780.00%54.77%55.50%
Derivative 242.3130.77%2.3581.16%2780.00%54.77%55.54%
Derivative 252.3120.82%2.3581.16%2780.00%54.77%55.59%
Derivative 262.2005.62%2.5308.54%2566.67%48.07%53.69%
Derivative 272.1209.05%2.5308.54%2566.67%48.07%57.12%
Derivative 282.3150.69%2.5308.54%2566.67%48.07%48.75%
Derivative 292.1547.59%2.5308.54%2566.67%48.07%55.66%
Derivative 302.3140.73%2.5308.54%2566.67%48.07%48.79%
Derivative 312.3130.77%2.5308.54%2566.67%48.07%48.84%
Derivative 322.3120.82%2.5308.54%2566.67%48.07%48.88%
Derivative 332.2005.62%2.4916.86%31106.67%74.73%80.35%
Derivative 342.1209.05%2.4916.86%31106.67%74.73%83.78%
Derivative 352.3150.69%2.4916.86%31106.67%74.73%75.42%
Derivative 362.1547.59%2.4916.86%31106.67%74.73%82.32%
Derivative 372.3140.73%2.4916.86%31106.67%74.73%75.46%
Derivative 382.3130.77%2.4916.86%31106.67%74.73%75.50%
Derivative 392.3120.82%2.4916.86%31106.67%74.73%75.54%
Derivative 402.2005.62%2.4374.55%166.67%5.99%11.61%
Derivative 412.1209.05%2.4374.55%166.67%5.99%15.04%
Derivative 422.3150.69%2.4374.55%166.67%5.99%6.67%
Derivative 432.1547.59%2.4374.55%166.67%5.99%13.58%
Derivative 442.3140.73%2.4374.55%166.67%5.99%6.72%
Derivative 452.3130.77%2.4374.55%166.67%5.99%6.76%
Derivative 462.3120.82%2.4374.55%166.67%5.99%6.80%
Derivative 472.2005.62%2.92025.27%30100.00%76.09%81.71%
Derivative 482.1209.05%2.92025.27%30100.00%76.09%85.14%
Derivative 492.3150.69%2.92025.27%30100.00%76.09%76.77%
Derivative 502.1547.59%2.92025.27%30100.00%76.09%83.68%
Derivative 512.3140.73%2.92025.27%30100.00%76.09%76.82%
Derivative 522.3130.77%2.92025.27%30100.00%76.09%76.86%
Derivative 532.3120.82%2.92025.27%30100.00%76.09%76.90%
Derivative 542.2005.62%3.10433.16%46206.67%151.15%156.76%
Derivative 552.1209.05%3.10433.16%46206.67%151.15%160.20%
Derivative 562.3150.69%3.10433.16%46206.67%151.15%151.83%
Derivative 572.3140.73%3.10433.16%46206.67%151.15%151.87%
Derivative 582.3130.77%3.10433.16%46206.67%151.15%151.92%
Derivative 592.3120.82%3.10433.16%46206.67%151.15%151.96%
Derivative 602.2005.62%2.64713.56%2993.33%67.80%73.42%
Derivative 612.1209.05%2.64713.56%2993.33%67.80%76.86%
Derivative 622.3150.69%2.64713.56%2993.33%67.80%68.49%
Derivative 632.3140.73%2.64713.56%2993.33%67.80%68.53%
Derivative 642.3130.77%2.64713.56%2993.33%67.80%68.58%
Derivative 652.3120.82%2.64713.56%2993.33%67.80%68.62%
Derivative 662.2005.62%2.76918.79%45200.00%142.01%147.63%
Derivative 672.1209.05%2.76918.79%45200.00%142.01%151.06%
Derivative 682.3150.69%2.76918.79%45200.00%142.01%142.70%
Derivative 692.3140.73%2.76918.79%45200.00%142.01%142.74%
Derivative 702.3130.77%2.76918.79%45200.00%142.01%142.79%
Derivative 722.3130.77%2.3581.16%2780.00%54.77%55.54%
Derivative 732.3140.73%2.58510.90%1713.33%12.55%13.28%
Derivative 742.3140.73%2.58510.90%1713.33%12.55%13.28%
Derivative 752.2005.62%2.58510.90%1713.33%12.55%18.17%
Derivative 772.3150.69%2.4605.53%31106.67%74.30%74.99%
Derivative 782.1209.05%2.4605.53%31106.67%74.30%83.36%
Derivative 792.3120.82%2.4605.53%31106.67%74.30%75.12%
Derivative 802.3140.73%2.79219.78%2673.33%56.20%56.92%
Derivative 812.1209.05%2.92025.27%30100.00%76.09%85.14%
Derivative 832.3150.69%3.10433.16%46206.67%151.15%151.83%
Derivative 842.1209.05%3.10433.16%46206.67%151.15%160.20%
Derivative 852.3140.73%3.10433.16%46206.67%151.15%151.87%
Derivative 862.3130.77%3.10433.16%46206.67%151.15%151.92%
Table 8. The results of positive frequency values of 87 QAs derivatives.
Table 8. The results of positive frequency values of 87 QAs derivatives.
QA DerivativesPositive Frequency ValueQA DerivativesPositive Frequency ValueQA DerivativesPositive Frequency Value
Derivative 120.78Derivative 3014.97Derivative 5910.15
Derivative 217.07Derivative 3114.85Derivative 6028.78
Derivative 319.93Derivative 3212.63Derivative 6118.22
Derivative 415.47Derivative 3324.17Derivative 6225.68
Derivative 514.17Derivative 3417.19Derivative 6323.33
Derivative 613.15Derivative 3518.39Derivative 6421.80
Derivative 725.16Derivative 3619.52Derivative 6518.79
Derivative 821.84Derivative 3719.74Derivative 6628.44
Derivative 922.60Derivative 3814.32Derivative 6723.12
Derivative 1020.75Derivative 3913.44Derivative 6824.75
Derivative 1121.58Derivative 4031.02Derivative 6922.49
Derivative 1224.54Derivative 4120.39Derivative 7020.99
Derivative 1322.29Derivative 4217.77Derivative 7115.37
Derivative 1420.67Derivative 4320.83Derivative 7211.09
Derivative 1520.88Derivative 4420.82Derivative 7315.30
Derivative 1618.33Derivative 4515.87Derivative 7416.74
Derivative 1717.08Derivative 4612.92Derivative 7528.59
Derivative 1814.97Derivative 4724.63Derivative 7621.50
Derivative 1921.27Derivative 4819.56Derivative 7716.28
Derivative 2016.15Derivative 4921.39Derivative 7819.62
Derivative 2119.96Derivative 5014.89Derivative 799.36
Derivative 2218.43Derivative 5113.37Derivative 8018.66
Derivative 2316.27Derivative 5212.78Derivative 8116.26
Derivative 2415.53Derivative 537.10Derivative 8221.73
Derivative 2514.51Derivative 5423.28Derivative 8320.00
Derivative 2624.80Derivative 5520.02Derivative 8421.43
Derivative 2718.49Derivative 5617.86Derivative 8518.49
Derivative 2821.60Derivative 5713.65Derivative 8611.53
Derivative 2920.14Derivative 5812.72Derivative 8723.13
Table 9. Predicted results of genotoxicity, bioaccumulation, and biodegradability of 87 QA derivatives.
Table 9. Predicted results of genotoxicity, bioaccumulation, and biodegradability of 87 QA derivatives.
QA DerivativesGenotoxicityRelative DeviationBioaccumulationRelative DeviationBiodegradabilityRelative Deviation
Marbofloxacin8.4600 1.1840 1.7050
Derivative 19.539012.75%0.9650−18.50%1.70700.12%
Derivative 29.869016.65%1.1630−1.77%1.72501.17%
Derivative 39.376010.83%0.8900−24.83%1.71300.47%
Derivative 49.602013.50%1.1730−0.93%1.72401.11%
Derivative 59.532012.67%1.1740−0.84%1.72501.17%
Derivative 69.638013.92%1.1750−0.76%1.72401.11%
Derivative 79.03106.75%1.361014.95%1.71900.82%
Derivative 88.91805.41%1.373015.96%1.72901.41%
Derivative 98.53100.84%1.28108.19%1.71700.70%
Derivative 109.29509.87%1.592034.46%1.7030−0.12%
Derivative 119.881016.80%1.1110−6.17%1.71300.47%
Derivative 128.48100.25%1.526028.89%1.6900−0.88%
Derivative 139.04706.94%1.24605.24%1.73501.76%
Derivative 149.601013.49%1.1590−2.11%1.71600.65%
Derivative 159.467011.90%1.0520−11.15%1.71900.82%
Derivative 169.806015.91%0.6090−48.56%1.4940−12.38%
Derivative 179.736015.08%0.6080−48.65%1.4940−12.38%
Derivative 189.842016.34%0.6060−48.82%1.4940−12.38%
Derivative 199.22309.02%0.5660−52.20%1.5050−11.73%
Derivative 209.487012.14%0.5650−52.28%1.4990−12.08%
Derivative 219.967017.81%0.5720−51.69%1.5000−12.02%
Derivative 229.473011.97%0.5430−54.14%1.5040−11.79%
Derivative 239.700014.66%0.5760−51.35%1.5070−11.61%
Derivative 249.630013.83%0.5760−51.35%1.5060−11.67%
Derivative 259.735015.07%0.5760−51.35%1.5100−11.44%
Derivative 268.83504.43%0.5470−53.80%1.5260−10.50%
Derivative 278.99906.37%0.5450−53.97%1.5230−10.67%
Derivative 289.579013.23%0.5550−53.13%1.5290−10.32%
Derivative 299.08607.40%0.5230−55.83%1.5220−10.73%
Derivative 309.313010.08%0.5910−50.08%1.5270−10.44%
Derivative 319.24309.26%0.5950−49.75%1.5290−10.32%
Derivative 329.348010.50%0.5970−49.58%1.5300−10.26%
Derivative 339.600013.48%0.5350−54.81%1.5060−11.67%
Derivative 349.782015.63%0.5330−54.98%1.5010−11.96%
Derivative 3510.344022.27%0.5450−53.97%1.5030−11.85%
Derivative 369.851016.44%0.5120−56.76%1.5020−11.91%
Derivative 3710.078019.13%0.5440−54.05%1.4980−12.14%
Derivative 3810.007018.29%0.5440−54.05%1.4990−12.08%
Derivative 3910.113019.54%0.5440−54.05%1.5010−11.96%
Derivative 4010.170020.21%0.5020−57.60%1.5130−11.26%
Derivative 4110.130019.74%0.4950−58.19%1.5120−11.32%
Derivative 4210.914029.01%0.5150−56.50%1.5090−11.50%
Derivative 4310.421023.18%0.4680−60.47%1.5150−11.14%
Derivative 4410.648025.86%0.5600−52.70%1.5180−10.97%
Derivative 4510.581025.07%1.1810−0.25%1.73501.76%
Derivative 4610.687026.32%1.18400.00%1.73401.70%
Derivative 478.79003.90%1.468023.99%1.71400.53%
Derivative 488.88204.99%1.527028.97%1.71200.41%
Derivative 499.534012.70%1.660040.20%1.71400.53%
Derivative 5010.213020.72%1.20301.60%1.74802.52%
Derivative 519.26809.55%1.671041.13%1.71400.53%
Derivative 529.19708.71%1.678041.72%1.71500.59%
Derivative 539.30309.96%1.673041.30%1.71500.59%
Derivative 549.348010.50%1.29209.12%1.71500.59%
Derivative 559.506012.36%1.26006.42%1.71700.70%
Derivative 5610.092019.29%1.508027.36%1.71900.82%
Derivative 579.826016.15%1.503026.94%1.71500.59%
Derivative 589.755015.31%1.508027.36%1.71500.59%
Derivative 599.861016.56%1.510027.53%1.71600.65%
Derivative 608.72203.10%0.8730−26.27%1.6940−0.65%
Derivative 619.28509.75%0.9190−22.38%1.6930−0.70%
Derivative 629.471011.95%1.1430−3.46%1.7000−0.29%
Derivative 639.19708.71%1.1680−1.35%1.7000−0.29%
Derivative 649.12707.88%1.1810−0.25%1.7020−0.18%
Derivative 659.23309.14%1.18700.25%1.7000−0.29%
Derivative 668.83904.48%1.22403.38%1.73801.94%
Derivative 679.446011.65%1.24405.07%1.74302.23%
Derivative 689.588013.33%1.506027.20%1.74302.23%
Derivative 699.315010.11%1.532029.39%1.74002.05%
Derivative 709.24409.27%1.546030.57%1.73501.76%
Levofloxacin7.9750 1.4590 1.7070
Derivative 718.934012.03%1.52804.73%1.4730−13.71%
Derivative 728.73509.53%1.4300−1.99%1.4750−13.59%
Derivative 739.015013.04%1.52304.39%1.5320−10.25%
Derivative 749.370017.49%1.3630−6.58%1.71200.29%
Derivative 759.022013.13%1.48001.44%1.6800−1.58%
Derivative 768.41405.50%1.52204.32%1.4980−12.24%
Derivative 779.462018.65%1.3840−5.14%1.4730−13.71%
Derivative 788.987012.69%1.665014.12%1.4560−14.70%
Derivative 799.014013.03%1.2830−12.06%1.5410−9.72%
Derivative 808.73309.50%1.53405.14%1.5350−10.08%
Derivative 818.55107.22%1.634011.99%1.7030−0.23%
Derivative 828.13401.99%1.51603.91%1.4660−14.12%
Derivative 839.182015.13%1.646012.82%1.4190−16.87%
Derivative 848.49406.51%1.52304.39%1.4390−15.70%
Derivative 858.916011.80%1.57908.22%1.4700−13.88%
Derivative 868.846010.92%1.52804.73%1.4610−14.41%
Derivative 877.99400.24%1.59709.46%1.5430−9.61%

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MDPI and ACS Style

Li, X.; Zhang, B.; Huang, W.; Cantwell, C.; Chen, B. Integration of Fuzzy Matter-Element Method and 3D-QSAR Model for Generation of Environmentally Friendly Quinolone Derivatives. Int. J. Environ. Res. Public Health 2020, 17, 3239. https://doi.org/10.3390/ijerph17093239

AMA Style

Li X, Zhang B, Huang W, Cantwell C, Chen B. Integration of Fuzzy Matter-Element Method and 3D-QSAR Model for Generation of Environmentally Friendly Quinolone Derivatives. International Journal of Environmental Research and Public Health. 2020; 17(9):3239. https://doi.org/10.3390/ijerph17093239

Chicago/Turabian Style

Li, Xixi, Baiyu Zhang, Wendy Huang, Cuirin Cantwell, and Bing Chen. 2020. "Integration of Fuzzy Matter-Element Method and 3D-QSAR Model for Generation of Environmentally Friendly Quinolone Derivatives" International Journal of Environmental Research and Public Health 17, no. 9: 3239. https://doi.org/10.3390/ijerph17093239

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