Terpenes : Natural Products for Controlling Insects of Importance to Human Health — A Structure-Activity Relationship Study

Many insects affect food production and human health, and in an attempt to control these insects the use of synthetic insecticides has become widespread. However, this has resulted in the development of resistance in these organisms, human diseases, contamination of food, and pollution of the environment. Plants natural products and essential oil components such as terpenes and phenylpropenes have been shown to have a significant potential for insect control. However, the molecular properties related to their insecticidal activity are not well understood. The purpose of this review is to provide an overview of the toxicity of terpene compounds against three insects of importance to human health: lice, cockroaches, and Triatominae bugs and to evaluate which molecular descriptors are important in the bioactivity of terpenes. For the insects studied, quantitative structure-activity relationship (QSAR) studies were performed in order to predict the insecticidal activity of terpene compounds. The obtained QSAR models indicated that the activity of these compounds depends on their ability to reach the targets and to interact with them.The QSAR analysis can be used to predict the bioactivities of other structurally related molecules. Our findings may provide an important contribution in the search for new compounds with insecticidal activity.


Introduction
As many insects affect food production and human health, synthetic insecticides have often been used to control insects.However, an inappropriate use of these insecticides is linked to the development of resistance in pests, human diseases, and contamination of both the food and the environment [1][2][3][4].Consequently, the biological action of natural products with insecticidal activity is a very important alternative, which allows an environment-friendly management of pest insects without affecting people's health.
Plants produce a wide diversity of compounds involved in their chemical defense.Among these natural products, terpene compounds have been shown to have a significant potential for insect control [1][2][3][4][5].However, little is known about the molecular properties related to their insecticidal activity.
The quantitative structure-activity relationship (QSAR) is a mathematical expression by which the chemical structure is quantitatively correlated with well-known processes such as biological activity or chemical reactivity.In general, bioactivity studies using pure compounds tend to use molecules of different structures.Thus, for example, alcohols, ketones, and phenols with acyclic, monocyclic, or bicyclic structures are usually evaluated together.Although an initial study of bioactivities using a large number of molecules may provide some guidance on the chemical families of highest activity, not all the existing molecules can always be used, owing to practical and economic reasons.The use of molecules with high chemical diversity also causes problems for a QSAR analysis, as it is difficult to achieve a good correlation between the different physicochemical characteristics and bioactivities tested.This situation leads Psyche us to select only certain molecules based on bibliographic information, causing an inherent limitation.Consequently, making an assessment using molecules of the same chemical family with small structural changes gives more appropriate information on the strength of these molecules as bioactive compounds than using a set of molecules that represent a large chemical diversity.Therefore, in our QSAR studies, a homologous series of compounds or derivatives of substances selected from bibliographic data were used, which reduced the variability of topological and electronic features that results from using a variety of structures and hinders the regression analysis when obtaining a predictive model.A QSAR study shows the connection between a set of predictor variables (chemicals) and the response variable (biological activity) of the chemicals.QSAR models create a relationship between chemical structures and biological activity in a data set of chemicals.However, as limited bibliographic information was obtained from the QSAR studies with pest insects, in the present study, we used the results of some investigations related to this issue.Furthermore, we performed QSAR models on the physicochemical descriptors of the terpene compounds and their insecticidal activities against three insects of importance to human health, namely, lice, cockroaches, and Triatominae bugs (vector of Chagas disease).

Molecular Modelling, Calculation of Molecular Parameters, and Statistical Analysis
The bioactivities of natural compounds were selected from bibliographic data, and the physicochemical, electronic, and topological descriptors of these molecules were used for the QSAR analysis.The descriptors used for each molecule were octanol/water partition coefficient (log ), molar refractivity, molar volume, parachor, index of refraction, surface tension, density, polarizability, polar surface area (pH 7.4), molecular surface area, and solvent-accessible surface area of all polar atoms, which were calculated using ChemAxon Soft (Cambridge Soft Corp.) [6].Vapor pressure, boiling point, hydrogen bond donors, hydrogen bond receptors, vapor density, enthalpy of vaporization, and dipole were obtained by using ChemSpider 2014 [7].
A multiple linear regression analysis (MLR) was performed in order to examine the quantitative relationships between linear combinations of the dependent variable (log (1/bioactivity) or LN (inhibition%)) with the predictor variables (structure and molecular properties).In the MLR equations,  is the number of data points,  is the correlation coefficient between observed values of the dependent variable and the values calculated from the equation, and  2 is the square of the correlation coefficient and represents the goodness of fit.The obtained QSAR model was validated using the root mean square prediction error (RMSPE), obtained by cross validation leave-one-out procedure.Results with  values < 0.05 were considered to be significant.
All statistical analyses were performed using the InfoStat software Professional 2010 p [8].

Lice
Lice infestation or pediculosis is a global problem.Usually, the lice that infest humans are sucking lice that live in close association with the host and lay their eggs on hair shafts or in the seams of clothing [9].Pediculus humanus humanus (Linnaeus 1758) and Pediculus humanus capitis (De Geer 1767) are two obligate ectoparasites which affect the body and head of the host, respectively, with Pediculus humanus appearing to be the vector of Rickettsia prowazeki and Borrelia recurrentis, two microorganisms of importance to human health [10][11][12].The management of head lice infestation has a major disadvantage compared to the control of other insect pests, as the human hosts want the head lice to be completely eliminated [13].However, the search to achieve total elimination and the use of inappropriate chemical controls have allowed head lice to develop resistance [14] to a significant number of pesticides such as lindane, DDT, carbaryl, malathion, and pyrethroids [11,15,16].Consequently, the use of naturally occurring insecticidal compounds could be an attractive alternative to control head lice, including those which are resistant to pesticides [14].Many scientific studies have proposed the use of various natural compounds, with essential oils having been shown to have different activities such as repellent, ovicidal, and adulticide properties in a variety of insect species, including head lice [3,11,13,[15][16][17][18][19][20][21][22][23][24][25][26][27].Essential oils and terpenes have also been used in combination with conventional insecticides, and the results of these experiments have demonstrated an increase in the pediculicide properties of synthetic compounds [15,28].Nevertheless, one problem in controlling head lice with essential oils is the variability present in their composition, which can be observed within a species because of environmental conditions (soil, moisture, nutrients, etc.), and it prevents a standard formulation being effective for the control of head lice.Thus, pure compounds of essential oils should be used in the control of body and head lice.
It has been suggested that the mechanism of action of essential oil components could be due to competitive inhibition of the enzyme acetylcholinesterase (AChE, EC 3.1.1.7).Some researchers indicated that ketone compounds Psyche 3 b The data on lice were obtained by Toloza [13].
augment the inhibitory effect on AChE because of the presence of the double bond of the carbonyl group [36,37].Picollo et al. [38] showed that two ketones, menthone and carvone, significantly inhibited AChE activity in head lice, but another study reported that carvone did not have a good fumigant activity against lice [11].Other terpenes and phenylpropenes that have demonstrated inhibitory effects on AChE of head lice are 1,8-cineole and eugenol, while isomenthol and menthol were reported not to have any inhibitory activity [38].The use of essential oils permits interaction with different targets simultaneously as a result of chemical diversity, although chemical diversity of an essential oil with a high bioactivity is difficult to reproduce.An artificial mixture of terpenes or phenylpropene has demonstrated a high activity and could have synergistic effects [35,39], with linalyl acetate mixed with other terpenes showing a better synergistic effect on the inhibition of AChE activity than many isolated compounds.
We performed a multiple linear regression analysis to determine the mathematical function that could best predict the fumigant activity of some oxygenated terpenes, namely, 1,8-cineole, anisole, anethole, eugenol, thymol, linalool, benzyl alcohol, borneol, citronellol, menthol, isomenthol, camphor, carvone, geraniol, menthone, and pulegone, with the calculated molecular descriptors used in the analysis being shown in Table 1 The analysis of compounds of different chemical natures can cause a loss of fit of the QSAR model (in (2)) and therefore can lead to conflicting conclusions.For example, according to model 1, oxygenated terpenes of lower boiling points should be more active, while, according to model 2, these should be less active.Also, the plot of calculated versus experimental log (1/KT 50 ) is shown in Figures 1 and 2, with HBA being an important descriptor in both formulas.Thus, an increase in the value of HBA represents a greater insecticidal activity.However, it is known that hydrocarbons have no HBA, and hence this descriptor in (2) would represent a dipole-dipole interaction between the hydrocarbons and target instead of HBA.salicylaldehyde, benzaldehyde, cinnamaldehyde, benzyl cinnamate, benzyl alcohol, limonene, -pinene, -pinene, terpinene, -terpinene, 1,8-cineole, and cinnamyl acetate [29][30][31].Moreover, from bibliography, it can be seen that there are conflicting results regarding the efficiency of essential oil components for lice control, possibly related to the different techniques used for evaluating the bioassays.It has also been suggested that pediculicidal activity developed by the components of essential oils also depends on the Pediculus species [13,[29][30][31].

Ovicidal
In this section, the order of toxicity of 20 natural components of essential oils to ovicidal activity against Pediculus humanus capitis is examined using data previously reported by Toloza [13].These results show that the ether terpenes 1,8-cineole, anisole, and anethole and also the hydrocarbon terpenes limonene, -pinene, -pinene, and -terpinene were the most active compounds evaluated.A QSAR analysis was performed in order to determine the mathematical function that best fitted or predicted the activity of alcohol and the ketone terpenes.However, the most active terpenes (ether and hydrocarbon) were not included in this QSAR analysis, because they increased the chemical diversity and thereby influenced the fit obtained in the model.On the other hand, the ether and hydrocarbon terpenes were not sufficient to perform a QSAR analysis.
The negative coefficients of BP indicate that an increase in this descriptor led to a decrease in ovicidal toxicity, with this QSAR model showing a good correlation between the estimated and experimentally measured toxicity parameters for the tested monoterpenes and phenylpropenes.This result is in agreement with the high activity of ethers and hydrocarbons terpenes reported by Toloza [13], because these are the most volatile compounds evaluated in the cited work.A plot of the calculated versus experimental LN (inhibition%) is shown in Figure 3. Developing these types of relationships may facilitate the design of more effective ovicidal components and provide an insight into the structural properties that are responsible for their toxicities.

Repellent.
Repellency can help describe the behavioral effects that alter the perception of the peripheral nervous system (PNS), which leads to the insect neither biting nor sucking and causes them to move away from their food source [40].Thus, repellency is a strategy to prevent reinfection of host by an ectoparasite but does not result in the death of the insect.Essential oils have developed a very important role as natural repellent agents [13,15,41], with the results of the previously reported studies showing that benzyl alcohol was the most effective compound with a repellent index of 57.74%, followed by (−)-menthol, menthone, and (+)-menthol, with RI values of 53.56, 39.23, and 36.45%,respectively.
Toloza et al. [11] were the first to report on the potential of acyclic lactones as head lice repellents, with the repellent activity of these lactones ranging from 60 to 76% (equivalent to piperonal repellent) and -dodecalactone being the most active (76.68%).In addition, the lactone compounds were more active than the terpene ones.In fact, the and lactones are common components in the aroma of coconut oil.

Cockroaches
The term "cockroaches" covers a large number of species which have a worldwide distribution, with these insects being considered to be excellent transporters of pathogenic and allergic substances of faecal origin [42,44].However, as occurs in the control of other pests, the frequent use of synthetic insecticides has also generated resistance in cockroaches.Moreover, the enormous potential toxicity of synthetic insecticides has led to their use being restricted in establishments where food is prepared, such as in the hospitals [42].As mentioned above, the new phytoinsecticides can be applied in both open and closed places, in the same way as synthetic insecticides, with essential oils and their components being considered minimum risk pesticides [45].
Several studies have reported insecticidal activities of terpenes against cockroaches.An important aspect in the evaluation of phenylpropene or terpenes as insecticides against cockroaches is the sex of the insect, and the results of different investigations have shown the necessity of higher doses of the insecticide for females [46][47][48][49].As cockroach females have a higher body lipid concentration than males, this situation may be generating a differential effect on the actions of essential oils.Also, males are more sensitive to the insecticidal action of terpenes.Thus, the higher concentration of lipids in the female body might be trapping the terpenes and thereby avoiding their insecticidal action [47].However, there are other factors that differentially affect males and females in insecticidal bioassays.For example, thymol, transcinnamaldehyde, 1,8-cineole, and menthone terpenes have been demonstrated to have different sensitivities between males and females [46,48].
The experimental results reported by Jang et al. [42] were now used to perform a quantitative structure-activity analysis, with the molecular descriptors used in the QSAR studies being listed in Tables 3, 4, and 5.

Contact Toxicity Bioassay.
In the contact assay, the values of LC 50 (24 h exposure) in female B. germanica revealed the adulticidal activity of pulegone (0.06 mg/cm 2 ), camphor (0.07 mg/cm 2 ), and verbenone (0.07 mg/cm 2 ), with similar results for camphor and pinene isomers having been reported by Jung et al. [50].In contrast, linalool, terpineol, thymol, perillaldehyde, 1,8-cineole, and thujone showed a range of adulticidal activities between 0.09 and 0.18 mg/cm 2 [42].The insecticidal activity of pulegone may also be explained by its interaction with the octopamine receptor.Pulegone, pcymene, trans-anethole, vanillin, and isoeugenol are terpenes and phenylpropenes which exert strong octopaminergic receptor antagonist activity at concentrations of 2 nmol/mL [51].The lower insecticidal activity of linalool and terpineol could be due to their lack of interaction with the octopamine receptor [42].In the case of terpineol, the binding activity of octopamine receptors was blocked with an approximate IC 50 value of 9 nmol/mL [51].

Fumigant Toxicity Bioassay.
The results published in several scientific studies have shown that the presence of a carbonyl group in the terpene is important, which can act as an acceptor of hydrogen bonding.This may permit the terpene to interact with water molecules on the surface of the insect respiratory system (tracheoles) and consequently provides a better lead towards the target site [42,52].When evaluating the terpenes as fumigants, a mechanism of action  similar to the carbonyl group can be proposed for ether such as 1,8-cineole [46].The interaction of carbonyl groups of terpenes with the GABA receptor may be related to the fast knockdown of insects as a result of their interaction with the GABA receptors present in the insect neuromuscular junctions [53].In contrast, thujone does not have a similar activity to other ketones, due to the presence of a cyclopropane in its structure, according to Tong and Coats [54].Zhu et al. [55] reported that (Z)-ascaridole, isoascaridole, and p-cymene possessed fumigant toxicity against male German cockroaches.Other monoterpenes with observed fumigant activity include terpinolene, -terpinene, terpinen-4ol, (S)-(+)-carvone, 1,8-cineole, trans-dihydrocarvone, cuminaldehyde, trans-anethole, p-cymene, and -terpinene [49,56].In addition, fumigant activity against B. germanica has been reported with carvacrol [57,58], (E)-anethole [59], and thymol [42], with derivatives of the biosynthetic pathway of shikimic acid, such as isosafrole and safrole, having shown adulticidal activity against the female Periplaneta americana (L.) [60].
There has been much speculation about the structural relationship of terpenes and their bioactivity against cockroaches.Tortora et al. [61] argue that the degree of saturation of a compound may affect the detoxification because of which unsaturated terpenes may not be ordered in compact form, as the case of the saturated compounds, and consequently be more easily degraded.Steric aspects may also increase the solubility in the circulatory system of insects, allowing a more rapid excretion [42].In fact, log  values of different terpenes have been interpreted in the light of their bioactivity in different ways.Matsumura [62] and Yu [47] found that high values of log  could enhance cuticular penetration and therefore favor insecticidal activity.However, monoterpene hydrocarbons with high log  values are less bioactive than those with lower ones [42].Moreover, cuticles with a high content of lipid compounds can act as a trap for lipophilic substances and thus inhibit their traffic to the target site [47], implying that a positive relationship is not always found between lipophilicity and insecticidal activity [46,48].

Triatominae Bugs (Vector of Chagas Disease)
Chagas disease is among the most important parasitic diseases of the southern region of America.It is caused by a protozoan parasite (Trypanosoma cruzi, Kinetoplastida, Trypanosomatidae) and can result at first in cardiological dysfunction and even lead to the patient's death [63].The main vectors of the protozoan parasite are the hematophagous bugs Rhodnius prolixus (Stål, 1859), Rhodnius neglectus (Lent, 1954), and Triatoma infestans (Klug, 1834) (Hemiptera, Reduviidae, and Triatominae) [64,65], which live in the inside and the surrounding areas of rural households.In Argentina, Bolivia, and Peru, the disease has been controlled since 1950 through elimination of the vector using synthetic insecticides [66].Health agencies have used different strategies for the Psyche 9 application of synthetic insecticides in rural households, with the most common method being the spraying technique, but painted surfaces with synthetic pesticides have also shown encouraging results [67,68].However, there are recent studies indicating the development of resistance by T. infestans [4,69,70].An alternative to synthetic insecticides is the use of aliphatic alcohols, which have been demonstrated to help control mosquitoes and lice.When synthetic pyrethroids are used together with alcohols, synergistic effects have been observed, and it has been speculated that the alcohol may be affecting the cuticle of the exoskeleton of the insects and thereby facilitating the entry of the insecticides [71].The cuticular surface is covered by a thin layer of lipids (mainly hydrocarbons, wax esters, and fatty alcohols) and with free or esterified fatty acids.These lipids play a major role in preventing lethal desiccation by altering the absorption of chemicals and microorganism penetration, and they also participate in chemical communication events [72][73][74].Some fatty acids, by being part of the epicuticular waxes in T. infestans, have a strong action of regrouping (e.g., hexacosanoic acid) [75].
Essential oils are an alternative to synthetic pesticides for controlling blood sucking bugs [43,[76][77][78], with Hedeoma mandoniana and Minthostachys andina having been used as insecticides on the bugs Rhodnius neglectus and Triatoma infestans, and topical application revealing an insecticidal activity of 33% and 50% for H. mandoniana and M. andina, respectively.However, the evaluation of these essential oils as a fumigant produced different results, with H. mandoniana oil combined with 25.5% menthone and 33% isomenthone showing a mortality between 30 and 50% for the bugs, while M. andina with pulegone as the main component (44.6%) had no effect.Aliphatic alcohols appear to affect the cuticle of insects, thereby favoring the insecticidal action of some synthetic compounds.In addition, terpenes also affect components of the epicuticular waxes of insects, which could be a mechanism of pesticidal activity [79].Repellent and ovicidal activities were also observed for different extracts from Schinus molle [80], and Eucalyptus urograndis essential oil had high insecticidal and repellent activities for R. neglectus nymphs [76,77].DEET (N,N-diethyl-3-methylbenzamide) is a synthetic compound that is used as repellent against mosquitoes and other Diptera, with the repellency of DEET on the bug vectors of Chagas disease having been tested by other authors [78,81,82].As the antennae olfactory receptors of mosquitoes and bugs have been postulated as a possible site of action of DEET [82,83], essential oil components could also have the same target.
We performed a quantitative analysis of the structureactivity relationship based on the work of Laurent et al. [43].The oxygenated compounds menthol and alpha-and betathujone were omitted in the QSAR analysis because their larvicidal toxicity values were not determined in the cited reference, at the evaluated concentrations.These authors provided information about the menthol and thujone larvicidal toxicities as >to 2 mg/cm 2 .The inaccuracy of this determination induced a decrease of model fit.The calculated molecular descriptors used in this analysis are shown in Table 6, and the plot of calculated versus experimental log (1/LD 50 ) is shown in Figure 9.The model obtained using a contact toxicity bioassay of terpenes on nymphs is given by the following expression: This regression model (in ( 9)) suggests that the insecticidal activity of the alcohol and ketone compounds is influenced by the solvent-accessible surface areas.Psyche

Potential Targets: Mode of Action of Essential Oil Components
Many insects have developed resistance to several classes of insecticides, which has created the need to search for and/or develop new effective pesticides to control them at any stage (egg, larvae, or adults).Resistance to insecticides may be defined as "a heritable change in the sensitivity of a pest population that is reflected in the repeated failure of a product to achieve the expected level of control when used according to the label recommendation for that pest species" [84].Although the sites of action of synthetic pesticides are the most diverse, like action on the nervous system (AChE, gamma-aminobutyrate (Gaba), octopaminergic receptor, and sodium channel modulators), effects on the cuticle, growth regulators, and so forth [84], little is known about the sites of action of terpenes, despite pesticidal activity having been extensively studied.
The detoxification of aromatic structures is relatively more difficult than aliphatic ones and involves a series of biochemical processes that have a greater complexity.Thus, essential oils containing compounds with benzenetype structures are not easy for the insect to metabolize and detoxify, because they are more toxic than aliphatic compounds [47].

Acetylcholinesterase.
Cholinesterases can be classified according to their substrate specificity as acetyl (AChE) or butyrylcholinesterase (BChE, E.C. 3.1.1.8).Inhibiting the AChE generates the accumulation of the neurotransmitter acetylcholine in neuronal synapses, which creates a state of permanent stimulation and results in a general lack of coordination in the neuromuscular system and subsequent death.Thus, the control of the activity of this enzyme is very important in determining the insecticidal capacity of natural or synthetic chemicals, with AChE consequently being the primary target of organophosphorus pesticides and carbamates [85,86] as well as of some essential oils and their components [38,49,87,88].However, the AChE in resistant insects is able to change its active site or create new forms of the enzyme, in response to selective pressure after several years of the application of synthetic pesticides [86,[89][90][91][92][93][94][95][96][97][98].
Previous research has shown that essential oils from different herbs or their components can inhibit the activity of AChE.However, some of these studies employed AChE from electric eel, horse serum, or bovine erythrocytes [36,87,93,94,[99][100][101][102][103][104], with future analysis of these results being difficult as the evaluation of the inhibitory effect on AChE enzyme was not performed in insects [32,37,93,94,99,100,104].
It has been suggested that insects may have only AChE with mixed properties of both vertebrate AChE and BChE [105].Nevertheless, other studies have hypothesized that aphids, thrips, and probably some insects might have both AChE and BChE [95,105].In relation to this, an analysis of substrate hydrolysis at different concentrations revealed that insect cholinesterase displays activation at low substrate concentrations similar to that of the vertebrate BChE but demonstrated inhibition at high substrate concentrations  similar to the vertebrate AChE [89].Moreover, Keane and Ryan [96] reported that the inhibitory activity of monoterpenes against electric eel AChE is similar to the effect of inhibiting insect AChE.

Octopaminergic Sites.
Octopamine is present in the nervous system of arthropods, including insects, and acts both as a neurotransmitter and as a neurohormone.In addition, some researchers believe that octopamine modulates the influence of nerve-muscle interaction.Considering pharmacological criteria, octopamine exerts its effects through the octopamine-1 and octopamine-2 receptors [51,97,98], with its effect present throughout their union with G-proteincoupled receptors.
As the octopamine receptor binding is absent in vertebrates, it could be useful as a target for specific insecticide designs [87,106].However, only a few studies have shown octopamine receptor interaction with monoterpenes.Although the modulation of octopamine receptor by phenylpropenes or terpenes could be an indicator of the insecticidal activity of these natural compounds, conflicting results have been obtained concerning the interaction between the benzene and octopamine receptors.While thymol had no effect, its isomer carvacrol acted as an agonist at a concentration of 2 nmol/mL.The compounds p-cymene, eugenol, trans-anethole, vanillin, and isoeugenol were found to be antagonists of octopamine receptor [51], whereas in another study, from the electrophysiology point of view, eugenol did not show any antagonist activity [107].Hence, there is no agreement about whether insecticidal activity of eugenol is directly related to its interaction with the octopamine receptor [51,107,108].Chlordimeform, methomyl, permethrin, chlorfluazuron, malathion, trichlorfon, and some oxazolidine had agonistic effects, and eugenol, cinnamic alcohol, and phenyl methyl alcohol produced an increase in octopamine production in the German cockroach [109].However, in contrast, limonene had no effect on the octopamine receptor of the American cockroach [51] or R. dominica [98].
Gross et al. [110], in a ligand-independent system, evaluated aliphatic and aromatic terpenes that acted as inverse agonists.One of the compounds tested, carvacrol, interacted with the octopamine receptor and altered the conformation and increased the affinity for the endogenous G-protein.Moreover, the QSAR models showed that electronic properties are the most important for the interaction of monoterpenoid with this receptor.

Gamma-Aminobutyrate (GABA).
In insects, although inhibitory transmission relies mainly on three types of chloride-selective ligand-gated ion channels, namely, GABA-, glutamate-, and histamine-gated ionotropic receptors [111,112], gamma-aminobutyrate (GABA) is a main inhibitory neurotransmitter in both vertebrates and invertebrates.Pharmacologically, the GABA receptor-chloride channel complex in insects is different from those present in mammals, as GABA receptors of insects have a regulatory function not only in the central nervous system, but also in the peripheral one [111,113].The terpenoids present in the essential oil of star anise (Illicium sp.) were found to show antagonist activity on the GABA receptor of Musca domestica, with these components also having structural features that permit a differential action between the GABA receptors of insects and mammals [113].
Carvacrol, pulegone, and thymol at concentrations between 500 mM and 1 mM are positive allosteric GABA receptors of the American cockroach.However, -terpineol and linalool had no effect [54].Waliwitiya et al. [114] reported in Phaenicia sericata that thymol interacts with the flight system and the central nervous system through the GABA complex.In addition, Priestley et al. [115] demonstrated the same result for D. melanogaster, with carvacrol and thymol being positive allosteric modulators of the GABA receptor of insects.Thus, the phenol group is an important part of the structure of terpene and exerts a positive modulation of the insect GABA receptor.Besides, the GABA receptor is more related to knocking down the insect than to insecticidal activity [53].

Tyramine Receptor.
Tyramine is a biogenic amine that is biosynthetically and functionally related to octopamine, with this amine mediating the intracellular changes and producing second messengers such as cAMP and/or Ca 2+ .Although tyramine is considered as a neurotransmitter, it is pharmacologically different from octopamine [116].Enan [116] reported insecticidal activity of thymol, carvacrol, terpineol, p-cymene, and carvone on D. melanogaster, with the data indicating that thymol and carvacrol interact with the tyramine receptor without any significant differences and that the presence of a hydroxyl substituent on the benzene ring is critical for good insecticidal activity.6.5.Growth Regulators.The use of natural compounds at sublethal concentrations can control insect pest populations by affecting growth and reproduction [117].Terpenes can cause deformation of adult insect emergence or the lack of eggs, similar to growth-regulating hormones [118] such as juvenile hormone.Among the more active terpenes, geraniol causes a high rate of deformities in adults [119].While the egg stage was found to be the most resistant, the larva was the most sensitive [120][121][122].Oxide piperitenone retarded the reproduction of the malaria vector Anopheles stephensi.Moreover, oxide piperitenone also completely inhibited egg hatching at a dose of 750 g/mL in an ovicidal assay, as well as inhibited oviposition, but no changes were observed in adult development [123].When Acanthoscelides obtectus larvae and pupae were exposed to sublethal concentrations of lavender, rosemary, and Eucalyptus essential oil vapor, the results revealed an increase in the development times of larvae and pupae along with a reduction in the longevity and fecundity of the emerged female adults [124].

Discussion
The quantitative structure-activity relationship (QSAR) is a mathematical expression by which the chemical structure Psyche is quantitatively correlated with well-known processes such as biological activity or chemical reactivity.The biological activity of a chemical compound depends on the ability to reach the specific target molecule and its subsequent capacity to interact with it ( [125] and references therein).Hence, the three major types of interactions that the modeller must deal with are the hydrophobic, electronic, and steric ones [126].For the different insects reported in the present study, the chemical characteristics represent a compound's ability to reach the target site, with the descriptors that mainly explained the insecticidal activities being BP, VP, and log .
As the BP and VP descriptors represent the volatility of the compounds, it could be expected that these properties predict a higher activity in the less volatile compounds.In contrast, the opposite effect would be expected in the fumigant toxicity tests.The log  descriptor represents the lipophilicity of the compounds, which determines their ability to penetrate into the plasma membranes.In the obtained models, this descriptor only appeared in (8) (hydrocarbon compounds), indicating that an increase in lipophilicity leads to a decrease in activity.This is in agreement with Jang et al. [42], who suggested that the hydrocarbon monoterpenes with high log  values are less bioactive than those with lower log , because they can be accumulated in the cuticle of insects and thus inhibit their traffic to the target site [47].
Other descriptors that largely contributed in the obtained models were MV and the number of rings.These structural characteristics are related to the steric aspect of the insecticidal activity of the compounds.Our obtained models revealed a higher activity of compounds with fewer rings and lower molar volume, which might indicate the importance of steric aspect in the interaction of molecules with the active sites of targets.This is in agreement with Rice and Coats [17], who suggested that monocyclic terpenes are more toxic than bicyclic on the German cockroach.The ASA descriptors in (4), ( 5), (6), and (7) indicate the importance of the interaction of the compounds with their target or vehicle, which is consistent with Lee et al. [52] and Jang et al. [42], who suggested the importance of interaction with water molecules on the surface of the insect respiratory system (tracheoles) and the bioactivity of these compounds.Finally, chemical descriptors such as RI, ST, and parachor demonstrate the importance of the interaction of monoterpenes with other molecules.
The results of several studies have suggested that insecticidal activity depends on several factors such as dose, species assayed, toxicity methods, and target [2,44,50,127].However, due to discrepancies in the methodologies used by different authors, comparison of the insecticidal effects for the evaluated compounds is difficult using these investigations.In addition, several authors evaluated the bioactivity of compounds with diverse chemical structures, which makes it difficult to attribute their activities to a specific chemical property.We think that a joint effort should be made to standardize the methodology used and a standard compound (universal) could be added that would allow a comparison of the activity using the results of different authors.
In conclusion, the present work demonstrated that molecular properties or descriptors are important for explaining the bioactivity of terpene compounds on insects.The resulting models employed steric, electronic, and transport features to predict the bioactivity, with the results suggesting that the activity of these compounds depends on their ability to reach the targets, and their capability of interacting with them.In addition, the mathematical expression obtained by the QSAR analysis can be used to predict the insecticidal activities of structurally related molecules.Our findings may provide an important contribution in the search for new compounds with insecticidal activity.In addition, the development of natural insecticides has some advantages; for example, they are naturally occurring, they have low toxicity against nontarget organism, they do not persist in the environment, they have the capability to not generate resistant populations, and they have nonrestricted use [128,129].Based on these properties and despite the high cost of natural products, the benefits related with their use could be an alternative to synthetic pesticide.

Figure 3 :
Figure 3: Multiple linear regression analysis (MLR) calculated to examine quantitative relationships between linear combinations of the dependent variable LN (Inhibition%) and the predictor variables (structure and molecular properties).Plot of calculated versus experimental LN (Inhibition%) of ovicidal activity of alcohol and ketone terpenes against lice.

Figure 4 :
Figure 4: Multiple linear regression analysis (MLR) calculated to examine quantitative relationships between linear combinations of the dependent variable log (1/LC 50 ) and the predictor variables (structure and molecular properties).Plot of calculated versus experimental log (1/LC 50 ) of repellent activity of alcohol and phenol compounds against cockroaches.

Figure 5 :
Figure 5: Multiple linear regression analysis (MLR) calculated to examine quantitative relationships between linear combinations of the dependent variable log (1/LC 50 ) and the predictor variables (structure and molecular properties).Plot of calculated versus experimental log (1/LC 50 ) of repellent activity of aldehyde and ketone compounds against cockroaches.

Figure 9 :
Figure 9: Multiple linear regression analysis (MLR) calculated to examine quantitative relationships between linear combinations of the dependent variable log (1/LD 50 ) and the predictor variables (structure and molecular properties).Plot of calculated versus experimental log (1/LD 50 ) of insecticidal activity against Triatominae bugs (vector of Chagas disease).

Table 1 :
Calculated molecular descriptors a for terpene and phenylpropene compounds used in QSAR analysis of the fumigant activity against head lice.
a The descriptors were calculated by ChemAxon and ChemSpider software.

Table 3 :
Calculated molecular descriptors a for alcohol and phenol compounds used in QSAR analysis of the insecticidal activity against cockroach species.
[42]e descriptors were calculated by ChemAxon and ChemSpider software.bThedata on cockroach species were obtained by Jang et al.[42].

Table 4 :
Calculated molecular descriptors a for aldehyde and ketone compounds used in QSAR analysis of the insecticidal activity against cockroach.

Table 5 :
[42]ulated molecular descriptors a for hydrocarbon compounds used in QSAR analysis of the fumigant efficacy against cockroach.The data on cockroach species were obtained by Jang et al.[42].
a The descriptors were calculated by ChemAxon and ChemSpider software.b Figure 6: Multiple linear regression analysis (MLR) calculated to examine quantitative relationships between linear combinations of the dependent variable log (1/LD 50 ) and the predictor variables (structure and molecular properties).Plot of calculated versus experimental log (1/LD 50 ) of insecticidal activity of alcohol and phenol compounds against cockroaches.
Figure 8: Multiple linear regression analysis (MLR) calculated to examine quantitative relationships between linear combinations of the dependent variable log (1/LD 50 ) and the predictor variables (structure and molecular properties).Plot of calculated versus experimental log (1/LD 50 ) of insecticidal activity of hydrocarbon compounds against cockroaches.

Table 6 :
Calculated molecular descriptors a for compounds used in QSAR analysis of the insecticidal activity on triatominae nymphs.