Results
Data retrieval
From the initial 375 articles returned by the search, 237 full-text articles were assessed for eligibility, and 139 met the eligibility criteria (figure 1A). The studies reported pharmacokinetic parameters in 8 different host categories, 10 systemic insecticides and 6 administration routes (figure 1B–D). The three most studied hosts were cattle, sheep and dogs. Systemic insecticides studied included five avermectins (abamectin, doramectin, eprinomectin, ivermectin and selamectin), three isoxazolines (afoxolaner, fluralaner and lotilaner), one milbemycin (moxidectin) and one spinosyn (spinosad). These insecticides were applied intramuscularly, intraruminally, intravenously, orally, subcutaneously or topically. Note that intraruminal and intravenous routes are experimental and not currently operationally feasible; however, they were included to help determine the full range of action possible for each drug.
Figure 1Identification of existing applications for systemic insecticides. (A) A review of PubMed identified relevant studies of existing systemic insecticides. (B–D) The included studies covered a range of different hosts, systemic insecticides and administration routes.
Data analysis
To evaluate the different treatment scenarios, weighted three-way ANOVAs were conducted for each pharmacokinetic parameter. Elimination half-life and Cmax were the only parameters with significant interactions (p<0.05) with host, route and drug. The significant effectors of half-life were drug class (p=0.016), route of admission (p=0.007), and interactions between host and route (p<0.001) and drug and route (p=0.007). Regardless of route of administration, the order of drugs from shortest to longest half-lives was avermectins<milbemycins<spinosyns<isoxazolines. The median half-life for avermectins and milbemycins was <10 days for all routes of administration, whereas isoxazolines’ half-life was >10 days (figure 2A, online supplementary figure 3). Comparing median half-lives for a given drug class across hosts showed some host dependency. For instance, milbemycins had a longer median half-life in dogs (19.4 days) than in other hosts (<10 days) and avermectins had a longer median half-life in cattle than in other hosts (figure 2B, online supplementary figure 4). When comparing administration routes across different hosts, topically applied drugs typically achieved longer half-lives than orally applied ones (figure 2C, online supplementary figure 5).
Figure 2Half-life and Cmax are dependent on interactions between drug class, host and administration route. (A) Half-life is affected by the interaction between administration route and drug class. (B) The three most studied hosts show the effect of host and drug class on drug half-life. (C) The interaction between drug application route and host affects the drug half-life. (D) Cmax is affected by the interaction between host and drug. (E) The interaction between administration route and host also impacts Cmax. Drug classes: A, avermectin; I, isoxazoline; M,milbemycin; S,spinosyn; Routes: Im,intramuscular; Ir,intraruminal; Iv,intravenous; O,oral; S,subcutaneous; T, topical.
The significant factors for Cmax were drug (p=0.03) and interactions between host and drug (p=0.002) and host and route (p<0.001). The order of drugs from lowest to highest Cmax was different from that of half-lives: milbemycins<avermectins<isoxazolines<spinosyns (online supplementary figure 6). Cattle reported the lowest median Cmax for milbemycins, whereas dogs and sheep had the lowest Cmax for avermectins (figure 2D, online supplementary figure 7). There was also a dependency of Cmax on host and route (figure 2E, online supplementary figure 8). Although the intravenous route resulted in the highest Cmax for different hosts, due to the drug being directly delivered into the bloodstream, the order of resulting Cmax for other routes varied based on host.
The spread in half-lives and Cmaxs seen for a given drug–host–route combination can be attributed to host factors that may affect drug absorption and, consequently, the plasma concentration. These factors include age, gender, breed, diet, parasite infection, pregnancy, lactation, and whether topically treated hosts are restricted from self-licking.34–41 Understanding how host conditions affect basic pharmacokinetics is critical for designing optimal treatment strategies that can account for natural variations.
Basic dynamics of malaria transmission and control methods
The model captures the temporal dynamics of malaria transmission in a human population exposed to mosquitoes that bite humans and livestock indiscriminately. On the LLIN introduction, a general decline in malaria prevalence (symptomatic and asymptomatic individuals combined) is observed, followed by a steady increase as the insecticide in the net degrades and fewer mosquitoes are killed by LLIN exposure (figure 3A). The addition of treating one blood host population with systemic insecticide can further reduce malaria prevalence when applied at sufficient frequency.
Figure 3Modelling malaria transmission and control methods. (A) The malaria prevalence ratio is compared for a population using LLINs alone (MN, black), LLINs with livestock treated yearly with systemic insecticide (MN+D1, red) and LLINs with livestock treated monthly with systemic insecticide (MN+D12, blue). (B) For a strategy using LLINs and livestock treated at a set dosing frequency (here, monthly), the relative reduction in malaria prevalence can be calculated for insecticides of various half-lives and Cmaxs. (C–I) The dosing frequency necessary to achieve a 10% relative reduction in malaria prevalence can be calculated for insecticides with different pharmacokinetic properties. Overlaying pharmacokinetic values gathered from the review predicts the minimum dosing frequency of existing systemic insecticides in certain host–route scenarios. Contour definitions from left to right: weekly, monthly, quarter-annually, biannually, annually. Here, we assume indiscriminate biting behaviour (ph=0.5). LLINs, long-lasting insecticidal nets.
Dosing strategy design and evaluation
To quantify the efficacy of different dosing strategies, the relative reduction in malaria prevalence after 3 years of using LLINs and applying systemic insecticides to one blood host population was compared with that of using LLINs alone. For a set dosing frequency, the relative reduction increased as a function of half-life and Cmax (figure 3B).
The minimum dosing frequency was calculated to achieve a target relative reduction (here, 10%) for different drugs distinguished by half-life, Cmax, , and (figure 3C–I). The drugs with the longest half-lives and highest Cmaxs needed to be dosed the least often to maintain a sufficiently high concentration to remain lethal to feeding mosquitoes. Given the same half-life and Cmax, drugs with higher needed to be dosed more frequently to compensate for the decreased efficacy of drug on mosquito fecundity or survival.
Overlaying the data gathered in the review for drugs with reported s and for Anopheles gambiae sensu lato predicted the frequency at which these existing drugs would need to be applied to achieve a 10% relative reduction in malaria prevalence. The avermectins, represented by ivermectin, eprinomectin and doramectin, have relatively low s and s, suggesting that relatively low concentrations of drug in the bloodstream would affect the fecundity and death rates of feeding mosquitoes. However, this impact is limited by these drugs’ relatively short half-lives, ranging from 0.4 to 11.1 days (table 1). Depending on the host and administration route, regimens with dosing frequencies ranging from weekly to quarter-annually would be required to achieve a 10% relative reduction in malaria prevalence. Although ivermectin and eprinomectin have a similar , ivermectin has a stronger effect on fecundity (online supplementary figure 2). Consequently, ivermectin would require less frequent dosing than eprinomectin to achieve the same target reduction. Doramectin has a lower impact on fecundity and death rates, with a higher and than ivermectin and eprinomectin.
Although fluralaner and afoxolaner have higher than ivermectin, they were predicted to achieve 10% relative reduction with yearly dosing, due to their longer half-life and higher Cmax. Similarly, spinosad has a high , a relatively long half-life of 11.3 days, a higher Cmax of 1550.0 ng/mL, and could achieve a 10% relative reduction when dosed biannually. These results are conservative, as the effect of fluralaner, afoxolaner, and spinosad on fecundity was assumed to be zero until it has been characterised in mosquitoes.
Despite some of the moxidectin studies reporting relatively long half-lives and high Cmaxs, its high and mean that it would have to be dosed more frequently (>weekly) or at higher doses to provide an effective complement to LLINs.
Application to different scenarios
This framework can predict the extent to which systemic insecticides could aid in the reduction of malaria prevalence in scenarios with different endemicities (online supplementary figure 9a–c). For instance, in a low-level mesoendemic environment (malaria prevalence=25%),42 LLINs alone played a significant role in reducing transmission; however, additional treatment of livestock and humans further reduced prevalence and could theoretically break transmission. In a high-level mesoendemic environment (malaria prevalence=50%), LLINs alone were not as effective and the additional treatment of livestock and humans could significantly reduce malaria transmission. When malaria is hyperendemic (prevalence=65%), the addition of systemic insecticide treatment reduced malaria prevalence relative to LLINs alone; however, to bring malaria transmission under control, longer, sustained treatment and/or the use of drugs with longer half-lives and higher Cmax, such as the isoxazolines, would be necessary.
Similarly, this framework can help evaluate control strategies for mosquitoes with different blood meal preferences (online supplementary figure 9d–e).43 Malaria transmission in regions with zoophilic mosquitoes was largely controlled by LLINs because the mosquitoes do not target humans as frequently. Treating livestock with systemic insecticides would be more effective than treating humans, requiring less frequent dosing for a drug with a given half-life and Cmax. Malaria in regions with anthropophilic mosquitoes was reduced the most with the treatment of both livestock and humans, with most of the reduction due to the treatment of humans. Dosing frequencies were increased, given the need to maintain high enough lethal systemic insecticide concentrations to affect a greater number of mosquitoes targeting humans for blood meals.
Estimating coverage
While 100% coverage is ideal, it is difficult and often unrealistic to achieve in practice. The minimum dosing frequency of each drug was calculated to achieve a relative reduction >10% for a range of humans and livestock coverage (figure 4). Intuitively, as the coverage of both hosts increased, the dosing frequency necessary to reach the target reduction generally decreased. Ivermectin treatment of human and cattle appeared to contribute equally to malaria reduction (figure 4A). If at least 50% of both humans and cattle were treated with ivermectin every 2 months, then at least a 15% relative reduction in malaria could be achieved over 3 years. If 75% of both humans and livestock were treated, then the dosing frequency could be reduced to once every 4 months and still achieve a 10%–12% relative reduction.
Figure 4Effect of different coverage proportions in two hosts on the reduction in malaria prevalence after 3 years of treatment. (A–F) For each drug, the dosing frequency necessary to achieve at least a 10% relative reduction (RR) in malaria prevalence was calculated for a range of livestock and human coverages. The contour lines represent the minimum dosing frequency necessary to achieve the target reduction threshold. The colourmap indicates the level of relative reduction in malaria prevalence for a given coverage and dosing frequency. Here, we assume indiscriminate biting behaviour (ph=0.5).
Eprinomectin appeared less effective at reducing malaria than ivermectin, with the lowest frequency dosing option being every 2 months (figure 4B). This is largely due to ivermectin’s greater impact on fecundity (online supplementary figure 2). Assuming that the pharmacokinetic properties of eprinomectin in ‘small’ hosts are a proxy of those in humans, the malaria prevalence was more sensitive to increasing the eprinomectin coverage of humans than of livestock. This is because the eprinomectin reached a higher Cmax in humans than cattle (20.1 vs 11.0 ng/mL, respectively) and had a slightly longer half-life in humans than in livestock (4.8 vs 3.5 days) (online supplementary table 2). Thus, human blood meals would remain toxic to a mosquito for a longer period of time and could remain effective at lower dosing frequencies.
Doramectin was the least effective of the avermectins, requiring weekly dosing for the majority of the coverage scenarios to result in a 10% relative reduction in malaria prevalence (figure 4C). This is reflective of its being larger than the Cmax.
Assuming that the pharmacokinetic properties of both isoxazolines in dogs and ‘small’ hosts are a proxy of those in humans and cattle, fluralaner and afoxolaner were predicted to achieve the 10% reduction with yearly dosing and very low coverage (20% for fluralaner and 30% for afoxolaner) (figure 4D–E). With 70%–80% coverage of both populations, fluralaner was predicted to reduce malaria prevalence by 50%. However, afoxolaner applied at the same coverage would only reduce malaria prevalence by 25% because of its lower Cmax and higher , relative to fluralaner. The isoxazolines’ Cmax is one to two orders of magnitude greater than the avermectins’, which results in the drug remaining at toxic levels in the blood for longer periods of time.
Assuming that spinosad’s pharmacokinetic properties in dogs can serve as a proxy for those in livestock and humans, it was also predicted to require less frequent dosing at lower coverage than the avermectins (figure 4F). Although spinosad had one of the highest Cmax values of the drugs simulated here, it also had one of the highest s. Thus, for a given coverage level, spinosad needed to be dosed more frequently than isoxazolines to reach the target reduction level.
Moxidectin was not capable of reducing malaria prevalence, regardless of dosing frequency or host coverage, because its is three orders of magnitude greater than its Cmax.