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Understanding the causes and consequences of insect declines has become an important goal in ecology, particularly in the tropics, where most terrestrial diversity exists. Over the past 12 years, the ForestGEO Arthropod Initiative has systematically monitored multiple insect groups on Barro Colorado Island (BCI), Panama, providing baseline data for assessing long-term population trends. Here, we estimate the rates of change in abundance among 96 tiger moth species on BCI. Population trends of most species were stable (n= 20) or increasing (n= 62), with few (n= 14) declining species. Our analysis of morphological and climatic sensitivity traits associated with population trends shows that species-specific responses to climate were most strongly linked with trends. Specifically, tiger moth species that are more abundant in warmer and wetter years are more likely to show population increases. Our study contrasts with recent findings indicating insect decline in tropical and temperate regions. These results highlight the significant role of biotic responses to climate in determining long-term population trends and suggest that future climate changes are likely to impact tropical insect communities.

Objectives A sepsis workup is recommended in young infants 56 days or younger with fever to rule out a serious bacterial infection (SBI). Given the reduction in non–severe acute respiratory syndrome - coronavirus 2 viral infections observed in multiple studies during the coronavirus diseases 2019 (COVID-19) pandemic, we sought to determine if the reduction in viral infections led to a change in the incidence of SBI in this vulnerable patient population. Methods We performed a multicenter, retrospective study of infants 56 days or younger presenting with fever to emergency departments of 6 community hospitals. We compared the incidence of SBIs, viral meningitis, and viral bronchiolitis during March 2020 to February 2021 (pandemic year) with the same calendar months in the 2 preceding years (prepandemic years). Results From March 2018 to February 2021, 543 febrile infants presented to the emergency departments, 95 during the pandemic year (March 2020 to February 2021) compared with 231 and 217 in the prepandemic years (March 2018 to February 2019 and March 2019 to February 2020, respectively). During the pandemic year, 28.4% of infants (27 of 95) were diagnosed with an SBI compared with 11.7% and 6.9% (P < 0.001) in the prepandemic years (27 of 231 and 15 of 217, respectively). Five patients were diagnosed with bacterial meningitis over the 3-year period, 4 of them during the pandemic year (4 of 95 [4.2%]). Positivity for viral cerebrospinal fluid polymerase chain reaction during the pandemic year was 6.4% (3 of 47) compared with 20.8% (25 of 120) and 20.4% (23 of 113) in prepandemic years (P = 0.070). During the pandemic year, 2.1% (2 of 95) febrile young infants were admitted with a comorbid diagnosis of bronchiolitis compared with 4.3% and 6.0% in the prepandemic years (P = 0.310). Conclusions The COVID-19 pandemic led to an increase in the incidence of SBIs in febrile infants 56 days or younger, likely a result of reduction in non–severe acute respiratory syndrome - coronavirus 2 viral infections. Greater vigilance is thus warranted in the evaluation of febrile infants during the COVID-19 pandemic.

Peer reviewed: True, This paper reviews the modern state of the Wiener-Hopf factorization method and its generalizations. The main constructive results for matrix Wiener-Hopf problems are presented, approximate methods are outlined and the main areas of applications are mentioned. The aim of the paper is to offer an overview of the development of this method, and demonstrate the importance of bringing together pure and applied analysis to effectively employ the Wiener-Hopf technique.

Purpose To report historical patterns of pharmaceutical expenditures, to identify factors that may influence future spending, and to predict growth in drug spending in 2021 in the United States, with a focus on the nonfederal hospital and clinic sectors. Methods Historical patterns were assessed by examining data on drug purchases from manufacturers using the IQVIA National Sales Perspectives database. Factors that may influence drug spending in hospitals and clinics in 2021 were reviewed—including new drug approvals, patent expirations, and potential new policies or legislation. Focused analyses were conducted for biosimilars, cancer drugs, generics, coronavirus disease 2019 (COVID-19) pandemic influence, and specialty drugs. For nonfederal hospitals, clinics, and overall (all sectors), estimates of growth of pharmaceutical expenditures in 2021 were based on a combination of quantitative analyses and expert opinion. Results In 2020, overall pharmaceutical expenditures in the United States grew 4.9% compared to 2019, for a total of $535.3 billion. Utilization (a 2.9% increase) and new drugs (a 1.8% increase) drove this increase, with price changes having minimal influence (a 0.3% increase). Adalimumab was the top drug in 2020, followed by apixaban and insulin glargine. Drug expenditures were $35.3 billion (a 4.6% decrease) and $98.4 billion (an 8.1% increase) in nonfederal hospitals and clinics, respectively. In clinics, growth was driven by new products and increased utilization, whereas in hospitals the decrease in expenditures was driven by reduced utilization. Several new drugs that will influence spending are expected to be approved in 2021. Specialty and cancer drugs will continue to drive expenditures along with the evolution of the COVID-19 pandemic. Conclusion For 2021, we expect overall prescription drug spending to rise by 4% to 6%, whereas in clinics and hospitals we anticipate increases of 7% to 9% and 3% to 5%, respectively, compared to 2020. These national estimates of future pharmaceutical expenditure growth may not be representative of any particular health system because of the myriad of local factors that influence actual spending.

Disclaimer In an effort to expedite the publication of articles related to the COVID-19 pandemic, AJHP is posting these manuscripts online as soon as possible after acceptance. Accepted manuscripts have been peer-reviewed and copyedited, but are posted online before technical formatting and author proofing. These manuscripts are not the final version of record and will be replaced with the final article (formatted per AJHP style and proofed by the authors) at a later time. Purpose The proceedings of an international summit on the current and desired future state of use of robotic systems to compound intravenous (IV) solutions are summarized. Summary The International IV Robotics Summit was held at the Cleveland Clinic main campus in Cleveland, OH, on April 29 and 30, 2019. The purpose of the summit was 2-fold: (1) to define the current state of robotic IV compounding and (2) to develop a guide for automation companies, pharmacy departments, and drug manufacturers to improve the technology and expand the use of IV robotics in health systems in the future. The first day of the summit included 45-minute presentations by each of the speakers. Each lecturer recounted a different hospital’s experience implementing and using IV robotics. On day 2 of the summit, an expert panel dedicated to mapping the future of IV robotics was convened to determine barriers to widespread adoption of IV robotics in health systems and offer potential solutions to remove these barriers. The expert panel targeted 3 specific audiences: robot manufacturers, drug manufacturers, and fellow pharmacy leaders. Conclusion It is the hope of the international faculty that the information that emerged from the summit can be used by others to successfully implement IV compounding robotics in their sterile products areas to maximize patient safety. The summit also served as a call to action for pharmacy leaders, drug manufacturers, and robotic companies to develop a safer, more efficient future for patients by working together to optimize the development and operation of IV robotics.

Purpose Best practices and guidance are provided for standardizing dosing instructions on prescription container labels of oral liquid medications by eliminating use of U.S. customary (household) units and adopting metric units universally, with the goal of decreasing the potential for error and improving safety and outcomes when patients and caregivers take and administer these medications. Summary Despite decades of best practice use of metric units in organized healthcare settings and advocacy by various professional societies, medication safety experts, and standards setting organizations, use of household units (e.g., teaspoon) on prescription container labeling instructions for oral liquid medications persists in community pharmacy settings. Five years after publication of the National Council for Prescription Drug Programs’ (NCPDP’s) original white paper advocating metric-only dosing, very few community pharmacy companies appear to require oral liquid dosing instructions be presented in metric-only units (mL). Error-prone dosing designations contribute to medication errors and patient harm. Use of both multiple volumetric units (e.g., teaspoonsful, tablespoonsful) and multiple abbreviations for the same volumetric units (e.g., mL, cc, mls; tsp, TSP, t) increases the likelihood of dosing errors. Opportunities for error exist with each administration of an oral liquid medication and, unless coordinated with dispensing of appropriate oral dosing devices and optimal counseling, can result in use of household utensils (e.g., uncalibrated teaspoons) or discordantly marked devices that can further exacerbate the risk of error. Since publication of NCPDP’s original white paper, new standards have been adopted governing official liquid volume representation, calibrated dosing devices, and e-prescribing software which support the elimination of non-metric units to reduce use of dosing practices that are error-prone. In each case, U.S. customary (household) units have been eliminated in official standards and certification requirements. Therefore, use of non-metric units for oral dosing of liquid medications no longer is an acceptable practice. Conclusion Key factors contributing to dosing errors with oral liquid medications include use of multiple volumetric units and abbreviations; failure to institute policies and procedures that eliminate the use of non-metric (e.g., household) units and universally adopt metric-only dosing instructions in all settings; failure to coordinate dosing instructions with dosing device markings, appropriate type (oral syringe versus cup), and optimal volumes (e.g., 1-, 5-, or 10-mL devices); failure to adequately counsel patients about appropriate measurement and administration of oral liquid medication doses; and use or error-prone practices such as missing leading zeros and elimination of trailing zeros in prescriptions and container labels. Adoption of this white paper’s recommendations will align dosing designations for oral liquid medications in all settings with current standards and attain universal metric-only practice.

Seminal fluid proteins (Sfps) modify female phenotypes and have wide-ranging evolutionary implications on fitness in many insects. However, in the Mexican fruit fly, Anastrepha ludens , a highly destructive agricultural pest, the functions of Sfps are still largely unknown. To gain insights into female phenotypes regulated by Sfps, we used nano-liquid chromatography mass spectrometry to conduct a proteomic analysis of the soluble proteins from reproductive organs of A. ludens . The proteins predicted to be transferred from males to females during copulation were 100 proteins from the accessory glands, 69 from the testes and 20 from the ejaculatory bulb, resulting in 141 unique proteins after accounting for redundancies from multiple tissues. These 141 included orthologues to Drosophila melanogaster proteins involved mainly in oogenesis, spermatogenesis, immune response, lifespan and fecundity. In particular, we found one protein associated with female olfactory response to repellent stimuli (Scribble), and two related to memory formation (aPKC and Shibire). Together, these results raise the possibility that A. ludens Sfps could play a role in regulating female olfactory responses and memory formation and could be indicative of novel evolutionary functions in this important agricultural pest.

Introduction: Genetic testing in advanced prostate cancer is rapidly moving to become standard of care. Testing for genetic alterations in genes involved in DNA repair pathways, particularly those implicated in the homologous recombination repair (HRR) pathway, in patients with metastatic prostate cancer (mPCa) can inform selection of optimal therapies, as well as provide information about familial cancer risks. However, there are currently no consistent Canadian guidelines in place for genetic testing in mPCa. Methods: A multidisciplinary steering committee guided the process of an environmental scan to define the current landscape, as well as the perceived challenges, through interviews with specialists from 14 sites across Canada. The challenges most commonly identified include limited testing guidelines and protocols, inadequate education and awareness, and insufficient resources. Following the environmental scan, an expert multidisciplinary working group with pan-Canadian representation from medical oncologists, urologists, medical geneticists, genetic counsellors, pathologists, and clinical laboratory scientists convened in virtual meetings to discuss the challenges in implementation of genetic testing in mPCa across Canada. Results: Key recommendations from the working group include implementation of germline and tumor HRR testing for all metastatic patients, with a mainstreaming model in which non-geneticist clinicians can initiate germline testing. The working group defined the roles and responsibilities of the various health care providers (HCPs) involved in the genetic testing pathway for mPCa patients. In addition, the educational needs for all HCPs involved in the genetic testing pathway for mPCa were defined. Conclusions: As genetic testing for mPCa becomes standard of care, additional resources and investments will be required to implement the changes that will be needed to support the necessary volume of genetic testing, to ensure equitable access, and to provide education to all stakeholders.

An organism's gut microbiome can alter its fitness, yet we do not know how gut microbiomes change as their hosts evolve in the wild. We took advantage of a five-decade ‘chronosequence’ of translocated fish populations to examine associated changes in the gut microbiome. Populations of Trinidadian guppies have displayed parallel phenotypic convergence six times when moved from high predation (HP) to low predation (LP) environments. Across four drainages, we found microbiomes of fish translocated 5–6 years prior to sampling were already distinct from the microbiomes of their HP source populations. Changes in environmental conditions were most important in driving this shift, followed by phenotypic shifts in gut morphology. After 30–60 years in LP environments, microbiome composition was still distinct from native LP populations, but microbiome function was not. We found some evidence that nitrogen fixation enhanced gut nutrient absorption, but most functional shifts were not parallel across drainages. Stream-and drainage-specific signatures were present for both composition and function, despite our overall finding of consistent microbiome change across drainages. As we unravel the complexities of host–microbiome evolution in the wild, studies should consider environmental microbial colonization, host phenotypic plasticity in nature, and more realistic environmental conditions excluded from laboratory studies.

Rapid exaggeration of host and pathogen traits via arms race dynamics is one possible outcome of host–pathogen coevolution. However, the exaggerated traits are expected to incur costs in terms of resource investment in other life-history traits. The current study investigated the costs associated with evolved traits in a host–pathogen coevolution system. We used the Drosophila melanogaster (host) –Pseudomonas entomophila (pathogen) system to experimentally derive two selection regimes, one where the host and pathogen both coevolved, and the other, where only the host evolved against a non-evolving pathogen. After 17 generations of selection, we found that hosts from both selected populations had better post-infection survivorship than controls. Even though the coevolving populations tended to have better survivorship post-infection, we found no clear evidence that the two selection regimes were significantly different from each other. There was weak evidence for the coevolving pathogens being more virulent than the ancestral pathogen. We found no major cost of increased post-infection survivorship. The costs were not different between the coevolving hosts and the hosts evolving against a non-evolving pathogen. We found no evolved costs in the coevolving pathogens. Thus, our results suggest that increased host immunity and pathogen virulence may not be costly.

Promethean Particles, which makes nanomaterials using a continuous-flow production process, is collaborating with the healthcare industry to develop new applications for its copper nanoparticles.

Breast cancer is a common cancer affecting a large number of patients. Notably, 5–10% of all breast cancer patients are genetically predisposed to cancers. Although the most common breast cancer susceptibility genes areBRCA1andBRCA2, which are also associated with the risk of developing ovarian and pancreatic cancer, advances in next-generation sequencing (NGS) analysis technology enabled the discovery of several non-BRCAgenes responsible for breast and ovarian cancers. Studies on hereditary breast and ovarian cancer (HBOC) involve not only determining the predisposition to developing cancer, but also considering the current treatment for breast cancer, prevention of next cancer, risk diagnosis, and adoption of protective measures for relatives. We present a comprehensive review of HBOC, which will be a useful resource in the clinical setting. Many hereditary tumors, including HBOC, are syndromes characterized by the development of different types of cancer in succession. Taking advantage of knowing predisposition of susceptibility to cancer, it is important to continue and update cancer management protocols, which includes the adoption of preventive measures, countermeasures, and treatments, to accurately assess and prevent the impact of cancer on the quality of life of the next generation of patients.

The availability of data on consumer products-related accidents and injuries is of interest to a wide range of stakeholders, such as consumer product safety and injury prevention policymakers, market surveillance authorities, consumer organisations, standardisation organisations, manufacturers and the public. While the amount of information available and potentially of use for product safety is considerable in some European Union (EU) countries, its usability at EU level is difficult due to high fragmentation of the data sources, the diversity of data collection methods and increasing data protection concerns. To satisfy the policy need for more timely information on consumer product-related incidents, apart from injury data that have been historically collected by the public health sector, a number of 'alternative' data sources were assessed as potential sources of interest. This study explores the opportunities for enhancing the availability of data of consumer product-related injuries, arising from selected existing and 'alternative' data sources, widely present in Europe, such as firefighters’ and poison centres’ records, mortality statistics, consumer complaints, insurance companies’ registers, manufacturers’ incident registers and online news sources. These data sources, coupled with the use of IT technologies, such as interlinking by remote data access, could fill in the existing information gap. Strengths and weaknesses of selected data sources, with a view to support a common data platform, are evaluated and presented. Conducting the study relied on the literature review, extensive use of the surveys, interviews, workshops with experts and online data-mining pilot study.

Background In establishing the 2018 Breast Cancer Practice Guidelines of the Japan Breast Cancer Society, we explored the optimal first-line endocrine therapy for advanced postmenopausal hormone receptor-positive breast cancer. Methods We performed a systematic review of relevant reports from randomized-controlled studies published prior to November 2016 found using medical journal search engines. The main outcomes which we evaluated were progression-free survival (PFS), objective response rate (ORR), disease control rate (CBR), and toxicity. Results Four controlled trials comparing aromatase inhibitors (AI) and cyclin-dependent kinase (CDK)4/6 inhibitor combination therapy to AI monotherapy, and two controlled trials comparing anastrozole to fulvestrant 500 mg were analyzed. AI/CDK4/6 inhibitor combination therapy significantly improved PFS (Risk Ratio: 0.67, 95%CI 0.60–0.73), increased ORR (Risk Difference: 0.11, 95% CI 0.07–0.16), and increased CBR (Risk Difference: 0.11, 95% CI 0.07–0.15), compared with AI monotherapy. Patients who received this combination therapy had a higher grade ≥ 3 adverse event rate more than those who received AI monotherapy (Risk Difference: 43%, 95%CI: 0.39–0.47). Fulvestrant 500 mg alone significantly improved PFS (risk ratio: 0.85, 95%CI 0.72–0.98), but ORR and CBR were similar to those of anastrozole alone. Conclusion In the first-line treatment for advanced postmenopausal hormone receptor-positive breast cancer, a combination therapy of CDK4/6 inhibitors and AI showed significant improvement of PFS, ORR, and CBR but with significant increased toxicities compared with AI alone. Fulvestrant 500 mg monotherapy significantly prolonged PFS compared with AI monotherapy. We must wait for the results of the studies with longer follow-up period.

The 2022 American Society of Clinical Oncology (ASCO) Genitourinary (GU) Cancers Symposium was held in San Francisco and online from February 17–19, 2022. Following the symposium, on February 22, the Canadian Urological Association (CUA) held an online webinar where Canadian experts highlighted key research findings in prostate, bladder, and kidney cancers. In this report, we summarize these exciting advances in GU oncology. The entire webinar can be viewed on the CUA website, and meeting abstracts can be viewed at the ASCO meeting library.

Parallelism between evolutionary trajectories in a trait space is often seen as evidence for repeatability of phenotypic evolution, and angles between trajectories play a pivotal role in the analysis of parallelism. However, properties of angles in multidimensional spaces have not been widely appreciated by biologists. To remedy this situation, this study provides a brief overview on geometric and statistical aspects of angles in multidimensional spaces. Under the null hypothesis that trajectory vectors have no preferred directions (i.e. uniform distribution on hypersphere), the angle between two independent vectors is concentrated around the right angle, with a more pronounced peak in a higher-dimensional space. This probability distribution is closely related to t - and beta distributions, which can be used for testing the null hypothesis concerning a pair of trajectories. A recently proposed method with eigenanalysis of a vector correlation matrix can be connected to the test of no correlation or concentration of multiple vectors, for which simple test procedures are available in the statistical literature. Concentration of vectors can also be examined by tools of directional statistics such as the Rayleigh test. These frameworks provide biologists with baselines to make statistically justified inferences for (non)parallel evolution.

Changes in the abundances of animals, such as with the ongoing concern about insect declines, are often assumed to be general across taxa. However, this assumption is largely untested. Here, we used a database of assemblage-wide long-term insect and arachnid monitoring to compare abundance trends among co-occurring pairs of taxa. We show that 60% of co-occurring taxa qualitatively showed long-term trends in the same direction—either both increasing or both decreasing. However, in terms of magnitude, temporal trends were only weakly correlated (mean freshwater r = 0.05 (±0.03), mean terrestrial r = 0.12 (±0.09)). The strongest correlation was between trends of beetles and those of moths/butterflies ( r = 0.26). Overall, even though there is some support for directional similarity in temporal trends, we find that changes in the abundance of one taxon provide little information on the changes of other taxa. No clear candidate for umbrella or indicator taxa emerged from our analysis. We conclude that obtaining a better picture of changes in insect abundances will require monitoring of multiple taxa, which remains uncommon, especially in the terrestrial realm.

Complex life cycles, in which discrete life stages of the same organism differ in form or function and often occupy different ecological niches, are common in nature. Because stages share the same genome, selective effects on one stage may have cascading consequences through the entire life cycle. Theoretical and empirical studies have not yet generated clear predictions about how life cycle complexity will influence patterns of adaptation in response to rapidly changing environments or tested theoretical predictions for fitness trade-offs (or lack thereof) across life stages. We discuss complex life cycle evolution and outline three hypotheses—ontogenetic decoupling, antagonistic ontogenetic pleiotropy and synergistic ontogenetic pleiotropy—for how selection may operate on organisms with complex life cycles. We suggest a within-generation experimental design that promises significant insight into composite selection across life cycle stages. As part of this design, we conducted simulations to determine the power needed to detect selection across a life cycle using a population genetic framework. This analysis demonstrated that recently published studies reporting within-generation selection were underpowered to detect small allele frequency changes (approx. 0.1). The power analysis indicates challenging but attainable sampling requirements for many systems, though plants and marine invertebrates with high fecundity are excellent systems for exploring how organisms with complex life cycles may adapt to climate change. Published version Complex life cycles, in which discrete life stages of the same organism differ in form or function and often occupy different ecological niches, are common in nature. Because stages share the same genome, selective effects on one stage may have cascading consequences through the entire life cycle. Theoretical and empirical studies have not yet generated clear predictions about how life cycle complexity will influence patterns of adaptation in response to rapidly changing environments or tested theoretical predictions for fitness trade-offs (or lack thereof) across life stages. We discuss complex life cycle evolution and outline three hypotheses—ontogenetic decoupling, antagonistic ontogenetic pleiotropy and synergistic ontogenetic pleiotropy—for how selection may operate on organisms with complex life cycles. We suggest a within-generation experimental design that promises significant insight into composite selection across life cycle stages. As part of this design, we conducted simulations to determine the power needed to detect selection across a life cycle using a population genetic framework. This analysis demonstrated that recently published studies reporting within-generation selection were underpowered to detect small allele frequency changes (approx. 0.1). The power analysis indicates challenging but attainable sampling requirements for many systems, though plants and marine invertebrates with high fecundity are excellent systems for exploring how organisms with complex life cycles may adapt to climate change.

As climate change threatens species' persistence, predicting the potential for species to adapt to rapidly changing environments is imperative for the development of effective conservation strategies. Eco-evolutionary individual-based models (IBMs) can be useful tools for achieving this objective. We performed a literature review to identify studies that apply these tools in marine systems. Our survey suggested that this is an emerging area of research fuelled in part by developments in modelling frameworks that allow simulation of increasingly complex ecological, genetic and demographic processes. The studies we identified illustrate the promise of this approach and advance our understanding of the capacity for adaptation to outpace climate change. These studies also identify limitations of current models and opportunities for further development. We discuss three main topics that emerged across studies: (i) effects of genetic architecture and non-genetic responses on adaptive potential; (ii) capacity for gene flow to facilitate rapid adaptation; and (iii) impacts of multiple stressors on persistence. Finally, we demonstrate the approach using simple simulations and provide a framework for users to explore eco-evolutionary IBMs as tools for understanding adaptation in changing seas.

Quadrupeds exhibit versatile and adaptive running by exploiting the flying phase during the stride cycle. Various interlimb coordination mechanisms focusing on mechanical loads during the stance phase have been proposed to understand the underlying control mechanism, and various gait patterns have been reproduced. However, the essential control mechanism required to achieve both steady running patterns and non-steady behaviours, such as jumping and landing, remains unclear. Therefore, we focus on the vertical motions of the body parts and propose a new decentralized interlimb coordination mechanism. The simulation results demonstrate that the robot can generate efficient and various running patterns in response to the morphology of the body. Furthermore, the proposed model allows the robot to smoothly change its behaviour between steady running and non-steady landing depending on the situation. These results suggest that the steady and non-steady behaviours in quadruped adaptive running may share a common simple control mechanism based on the mechanical loads and vertical velocities of the body parts.

Selection component analyses (SCA) relate individual genotype to fitness components such as viability, fecundity and mating success. SCA are based on population genetic models and yield selection estimates directly in terms of predicted allele frequency change. This paper explores the statistical properties of gSCA: experiments that apply SCA to genome-wide scoring of SNPs in field sampled individuals. Computer simulations indicate that gSCA involving a few thousand genotyped samples can detect allele frequency changes of the magnitude that has been documented in field experiments on diverse taxa. To detect selection, imprecise genotyping from low-level sequencing of large samples of individuals provides much greater power than precise genotyping of smaller samples. The simulations also demonstrate the efficacy of ‘haplotype matching’, a method to combine information from a limited collection of whole genome sequence (the reference panel) with the much larger sample of field individuals that are measured for fitness. Pooled sequencing is demonstrated as another way to increase statistical power. Finally, I discuss the interpretation of selection estimates in relation to the Beavis effect, the overestimation of selection intensities at significant loci.

Peer reviewed: True, This paper reviews the modern state of the Wiener–Hopf factorization method and its generalizations. The main constructive results for matrix Wiener–Hopf problems are presented, approximate methods are outlined and the main areas of applications are mentioned. The aim of the paper is to offer an overview of the development of this method, and demonstrate the importance of bringing together pure and applied analysis to effectively employ the Wiener–Hopf technique.