A 'rich-get-richer' mechanism drives patchy dynamics and resistance evolution in antibiotic-treated bacteria.

Bacteria in nature often form surface-attached communities that initially comprise distinct subpopulations, or patches. For pathogens, these patches can form at infection sites, persist during antibiotic treatment, and develop into mature biofilms. Evidence suggests that patches can emerge due to heterogeneity in the growth environment and bacterial seeding, as well as cell-cell signaling. However, it is unclear how these factors contribute to patch formation and how patch formation might affect bacterial survival and evolution. Here, we demonstrate that a 'rich-get-richer' mechanism drives patch formation in bacteria exhibiting collective survival (CS) during antibiotic treatment. Modeling predicts that the seeding heterogeneity of these bacteria is amplified by local CS and global resource competition, leading to patch formation. Increasing the dose of a non-eradicating antibiotic treatment increases the degree of patchiness. Experimentally, we first demonstrated the mechanism using engineered Escherichia coli and then demonstrated its applicability to a pathogen, Pseudomonas aeruginosa. We further showed that the formation of P. aeruginosa patches promoted the evolution of antibiotic resistance. Our work provides new insights into population dynamics and resistance evolution during surface-attached bacterial growth.

The collapse of cooperation during range expansion of Pseudomonas aeruginosa.

Cooperation is commonly believed to be favourable in spatially structured environments, as these systems promote genetic relatedness that reduces the likelihood of exploitation by cheaters. Here we show that a Pseudomonas aeruginosa population that exhibited cooperative swarming was invaded by cheaters when subjected to experimental evolution through cycles of range expansion on solid media, but not in well-mixed liquid cultures. Our results suggest that cooperation is disfavoured in a more structured environment, which is the opposite of the prevailing view. We show that spatial expansion of the population prolongs cooperative swarming, which was vulnerable to cheating. Our findings reveal a mechanism by which spatial structures can suppress cooperation through modulation of the quantitative traits of cooperation, a process that leads to population divergence towards distinct colonization strategies.

A novel one-step multiplex PCR protocol to detect avian haemosporidian parasites in the subgenus Haemoproteus (Kruse, 1890) used to quantify parasite prevalence in domestic pigeons (Columba livia) in Turkey.

Infections of avian haemosporidian parasites are regularly identified by molecular methods including multiplex PCR, which allows researchers to distinguish mixed infections of parasites from multiple genera. Here we extend the utility of a previously designed multiplex PCR by designing a primer set specific to parasites of the subgenus Haemoproteus (genus: Haemoproteus). The updated one-step multiplex PCR protocol we describe here allows for the detection of the genera Plasmodium and Leucocytozoon and the two subgenera (Haemoproteus and Parahaemoproteus) of the genus Haemoproteus. A sensitivity analysis showed that the multiplex PCR could amplify DNA of parasites in the subgenus Haemoproteus at very low levels of infection. We used this multiplex PCR to identify haemosporidian infections in 250 adult domestic pigeons (Columba livia) in Turkey. All samples were also screened by microscopy and a widely used nested PCR to compare with the results of multiplex PCR, to detect low levels of parasitemia, and to identify possible abortive infections. In total, 71 pigeons (28.4%) were found to be infected by all three methods. The multiplex PCR protocol successfully detected and discriminated both subgenera Haemoproteus and Parahaemoproteus infections. We compared our results with previous host species records to assess the host specificity of the parasite lineages we found. Our findings provide novel data on the prevalence of avian haemosporidians in domestic pigeons and demonstrate the utility of the new one-step multiplex PCR protocol for the determination of mixed avian haemosporidian infections. We expect that this protocol will contribute to a better understanding of the distribution, epizootiology, and ecology of avian haemosporidians.

Toward predictive engineering of gene circuits.

Many synthetic biology applications rely on programming living cells using gene circuits - the assembly and wiring of genetic elements to control cellular behaviors. Extensive progress has been made in constructing gene circuits with diverse functions and applications. For many circuit functions, however, it remains challenging to ensure that the circuits operate in a predictable manner. Although the notion of predictability may appear intuitive, close inspection suggests that it is not always clear what constitutes predictability. We dissect this concept and how it can be confounded by the complexity of a circuit, the complexity of the context, and the interplay between the two. We discuss circuit engineering strategies, in both computation and experiment, that have been used to improve the predictability of gene circuits.

Advances and challenges in programming pattern formation using living cells.

Spatial patterning of cell populations is a ubiquitous phenomenon in nature. Patterns occur at various length and time scales and exhibit immense diversity. In addition to offering a deeper understanding of the emergence of patterns in nature, the ability to program synthetic patterns using living cells has the potential for broad applications. To date, however, progress in engineering pattern formation has been hampered by technical challenges. In this Review, we discuss recent advances in programming pattern formation in terms of biological insights, experimental and computational tool development, and potential applications.

First report and genotyping of Dientamoeba fragilis in pet budgerigars (Melopsittacus undulatus), with zoonotic importance.

The protozoan Dientamoeba fragilis is one of the most common parasites in the digestive system of humans worldwide. The host range and transmission routes of D. fragilis, including the role of animals, are still ambiguous with few reports from non-human primates, sheep, rodents, pigs, a cat and a dog. In this study, we used microscopic and TaqMan qPCR analyses to investigate D. fragilisin 150 faecal samples from pet budgerigars (Melopsittacus undulatus) in the Central Anatolia Region of Turkey. Dientamoeba fragilis DNA was detected in 32 samples, resulting in a mean prevalence of 21.3%. In microscopic examination, trophozoites/cysts of D. fragilis were detected in 13 of 32 qPCR-positive samples. SSU rRNA sequence analyses of the qPCR-positive isolates identified genotype 1 of D. fragilis as predominant in budgerigars. Phylogenetic analyses of the SSU rRNA gene region clustered D. fragilis genotypes, as well as other trichomonads, in separate monophyletic clusters with bootstrap values ≥79.0. Our study provides the first evidence for the natural host status of pet budgerigars for D. fragilisand contributes to the knowledge of the epidemiology of this parasite. The high prevalence of genotype 1 of D. fragilis suggests that pet budgerigars are suitable reservoirs for zoonotic transmission. Our findings contribute to an increased awareness and knowledge of D. fragilis infections in the context of a one-health approach.

Genetic diversity of Ichthyophthirius multifiliis (Fouquet, 1876) infecting farmed rainbow trout (Oncorhynchus mykiss Walbaum, 1792) in Turkey.

We assessed genetic diversities among Ichthyophthirius multifiliis (Ich) field isolates collected from farmed rainbow trout (Oncorhynchus mykiss) in Turkey. The overall prevalence of Ich was 35.3% (634/1798). Five novel Ich genotypes (ImulTR1 and ImulTR3-ImulTR6) were described based on mitochondrial cox-1 and nad1_b genes. The remaining genotype ImulTR2 was identical to the previously reported NY3 (or Ark9 and TW7) genotype from the United States and South Asia. Phylogenetic analysis indicated Turkish Ich isolates separated genetically into at least four distinct groups. Our study presents the first data on the genotypes of Ich in Turkey. We also provide evidence for the wide distribution of the NY3 genotype (or Ark9 and TW7) from the United States and South Asia to Turkey. Genetic diversities within the mitochondrial genes provided adequate resolution for describing novel genotypes and identifying the known genotype within Turkish Ich isolates. Description of the Ich genotypes allows for tracking of pathogen genotypes worldwide. Thus, we can better understand the connections between Ich outbreaks in the fisheries aquaculture.

Discrimination of waterborne pathogens, Cryptosporidium parvum oocysts and bacteria using surface-enhanced Raman spectroscopy coupled with principal component analysis and hierarchical clustering.

Waterborne pathogens (parasites, bacteria) are serious threats to human health. Cryptosporidium parvum is one of the protozoan parasites that can contaminate drinking water and lead to diarrhea in animals and humans. Rapid and reliable detection of these kinds of waterborne pathogens is highly essential. Yet, current detection techniques are limited for waterborne pathogens and time-consuming and have some major drawbacks. Therefore, rapid screening methods would play an important role in controlling the outbreaks of these pathogens. Here, we used label-free surface-enhanced Raman Spectroscopy (SERS) combined with multivariate analysis for the detection of C. parvum oocysts along with bacterial contaminants including, Escherichia coli, and Staphylococcus aureus. Silver nanoparticles (AgNPs) are used as SERS substrate and samples were prepared with simply mixed of concentrated AgNPs with microorganisms. Each species presented distinct SERS spectra. Principal component analysis (PCA) and hierarchical clustering were performed to discriminate C. parvum oocysts, E. coli, and S. aureus. PCA was used to visualize the dataset and extract significant spectral features. According to score plots in 3 dimensional PCA space, species formed distinct group. Furthermore, each species formed different clusters in hierarchical clustering. Our study indicates that SERS combined with multivariate analysis techniques can be utilized for the detection of C. parvum oocysts quickly.

Spatial regulation of cell motility and its fitness effect in a surface-attached bacterial community.

On a surface, microorganisms grow into a multi-cellular community. When a community becomes densely populated, cells migrate away to expand the community's territory. How microorganisms regulate surface motility to optimize expansion remains poorly understood. Here, we characterized surface motility of Proteus mirabilis. P. mirabilis is well known for its ability to expand its colony rapidly on a surface. Cursory visual inspection of an expanding colony suggests partial migration, i.e., one fraction of a population migrates while the other is sessile. Quantitative microscopic imaging shows that this migration pattern is determined by spatially inhomogeneous regulation of cell motility. Further analyses reveal that this spatial regulation is mediated by the Rcs system, which represses the expression of the motility regulator (FlhDC) in a nutrient-dependent manner. Alleviating this repression increases the colony expansion speed but results in a rapid drop in the number of viable cells, lowering population fitness. These findings collectively demonstrate how Rcs regulates cell motility dynamically to increase the fitness of an expanding bacterial population, illustrating a fundamental trade-off underlying bacterial colonization of a surface.

Observing Bacterial Persistence at Single-Cell Resolution.

Within a bacterial population, there can be a subpopulation of cells with an antibiotic-tolerant persister phenotype characterized by long lag phase. Their long lag phase necessitates long (hours or days) periods of single-cell observation to capture high-quality quantitative information about persistence. We describe a method of single-cell imaging using glass bottom dishes and a nutrient agarose pad that allows for long-term single-cell microscopy observation in a stable environment. We apply this method to characterize the lag phase and persistence of individual Escherichia coli cells.

Seasonal and Age-Associated Pathogen Distribution in Newborn Calves with Diarrhea Admitted to ICU.

Calf mortality constitutes a substantial loss for agriculture economy-based countries and is also a significant herd problem in developed countries. However, the occurrence and frequency of responsible gastro-intestinal (GI) pathogens in severe newborn diarrhea is still not well known. We aimed to determine the seasonal and age-associated pathogen distribution of severe diarrhea in newborn calves admitted to the intensive care unit (ICU) of Erciyes University animal hospital over a year. Fecal samples were collected during the ICU admissions, and specimens were subjected to a diarrheal pathogen screening panel that included bovine coronavirus (BCoV), Cryptosporidium spp., ETEC K99+, and bovine rotavirus, using RT-PCR and conventional PCR methods. Further isolation experiments were performed with permissive cell cultures and bacterial enrichment methods to identify the clinical importance of infectious pathogen shedding in the ICU. Among the hospitalized calves aged less than 45 days old, the majority of calves originated from small farms (85.9%). The pathogen that most frequently occurred was Cryptosporidium spp. (61.5%) followed by rotavirus (56.4%). The frequency of animal admission to ICU and GI pathogen identification was higher during the winter season (44.9%) when compared to other seasons. Most calves included in the study were 1-6 days old (44.9%). Lastly, co-infection with rotavirus and Cryptosporidium spp. occurred more frequently than other dual or multi-infection events. This study was the first to define severe diarrhea-causing GI pathogens from ICU admitted newborn calves in Turkey.

Complete mitochondrial genome characterization and phylogenetic analyses of the main vector of Crimean-Congo haemorrhagic fever virus: Hyalomma marginatum Koch, 1844.

The Mediterranean tick, Hyalomma marginatum, is the most important vector of Crimean-Congo haemorrhagic fever virus and several pathogens that cause animal and human diseases and economic losses to livestock production. Given the medical and veterinary importance of this tick species, we sequenced and characterized its mitochondrial genome (mitogenome) for the first time. We designed two new primer sets and combined long-range PCR with next generation sequencing to generate complete mitogenomes with deep coverage from 10 H. marginatum adults. The mitogenomes contained 13 protein-coding genes (PCGs), 22 transfer RNAs (tRNAs), two ribosomal subunits, two control regions, and three tick-box motifs. The nucleotide composition of the H. marginatum mitogenomes were A+T biased (79.76%) and exhibited negative AT- and GC- skews across most PCGs. All PCGs were initiated by ATK codons and two truncated termination codons were seen in the COX2 and COX3 genes. All tRNAs exhibited typical cloverleaf structures, except for tRNACys and tRNASer1. A total of 62 polymorphic sites defined ten unique haplotypes. Phylogenetic analyses based on the 13 PCGs of 56 tick species revealed that four Hyalomma species (H. marginatum, H. asiaticum, H. rufipes, and H. truncatum) formed a monophyletic clade with strong support. The results of this study provide a comprehensive resource for further studies on the systematics, population genetics, molecular epidemiology, and evolution of ticks.

Molecular identification and subtype distribution of Blastocystis sp. in farm and pet animals in Turkey.

A total of 1340 fresh fecal samples from farm and pet animals in Central Anatolia and the Middle Black Sea Region of Turkey were investigated using a PCR assay targeting the SSU rRNA of Blastocystis sp. An overall Blastocystis sp. prevalence of 19.4% (183/940) was found in farm animals, including cattle, sheep, water buffaloes, and chickens. Fecal samples of dogs, cats, and horses were negative. The highest prevalence of Blastocystis sp. was found in sheep (38.2%) among the farm animals. The SSU rRNA sequence analysis revealed two animal-specific subtypes, including ST10 in cattle and sheep and ST14 in water buffaloes. The zoonotic subtype ST7 was identified in chickens. Our results indicated a high prevalence of animal-specific subtypes in livestock and zoonotic subtype ST7 in chickens, highlighting the potential risk of chickens for zoonotic transmission of Blastocystis in the research area. This study is the first large-scale evaluation of Blastocystis in animal hosts in Turkey, and contributes to the molecular epidemiology and genetics of Blastocystis. Our results should be considered by authorities as an indication of the zoonotic importance of Blastocystis sp. and the need for surveillance in public health intervention programs.

SERPIN A5 may have a potential as a biomarker in reflecting the improvement of semen quality in infertile men who underwent varicocele repair.

We aimed to identify proteins that were differentially regulated in spermatozoal samples collected from fertile healthy men (FHM) and infertile patients with varicocele (IFPV) before and after varicocelectomy. Seminal samples were collected from 20 IFPV before and after varicocelectomy and from 14 FHM as controls. Samples underwent seminal examination and proteomic analysis. Extracted spermatozoal proteins were analysed using two-dimensional gel electrophoresis, and differentially regulated spermatozoal proteins (DRSPs) were identified. In particular, attention was placed on those DRSPs in which the concentration changed after varicocelectomy and corrected to approximate levels observed in FHM. Varicocelectomy significantly improved the sperm count and concentration in IFPV (p < 0.05). Proteomic analysis showed that 11 DRSPs were identified when comparisons were made among the three groups. Among these 11 proteins, change in the SERPIN A5 concentrations was notable because it was 100-fold downregulated in pre-operative IFPV samples and nearly resembled to control concentrations following varicocelectomy. Western blot analysis using an anti-SERPIN antibody validated the changes observed in SERPIN A5 levels before and after varicocelectomy operation. Increase in SERPIN A5 after varicocelectomy may be due to improvement in semen quality, suggesting that SERPIN A5 is a potential seminal biomarker for assessment of semen quality in varicocele-related infertility.

Newly identified Cryptosporidium parvum virus-1 from newborn calf diarrhoea in Turkey.

Cryptosporidium is a common enteric parasite that primarily affects those immunocompromised susceptible individuals and newborns. Detailed investigations have revealed that Cryptosporidium (C.) oocysts contain dsRNA segments which are recently classified under the Partitiviridae family. The relationship between parasite and virus whether or not affect the clinical outcomes of newborn calf diarrhoea is not apparent. The aim of this study was the identification and characterization of Cryptosporidium parvum virus-1 (CSpV1) from newborn calves. We also aimed to understand that parasite-virus symbiont relationship role in the severity of disease cases. Parasitic screening was performed with the help of morphological examinations, immunoassay and molecular polymerase chain reaction (PCR) methods. To further identification of C. parvum oocysts, confocal laser, scanning electron microscopy (SEM) and transmission electron microscopy (TEM) image analysis were used for the morphological investigations. Software-based in silico comparison and identity analyses were conducted from the CSpV1 genome for the genomic sequence characterizations. Cryptosporidium prevalence was 56.2% in newborn calf diarrhoeal cases. Virus dsRNA segments isolated from purified and clarified oocysts. Sequence results showed that we have successfully isolated CSpV1 from C. parvum oocysts. Virus RNA-dependent RNA polymerase (RdRp) was found to be highly variable and showed a species-specific relationship with their carriers. We also identified that CSpV1 frequency was around 8.8% from diarrhoea-showing newborn calves. Cryptosporidium was strongly associated with diarrhoea at early ages of newborns, but the parasite and CSpV1 relationship is not associated with the severity of newborn calf diarrhoea. The current study provides the first report and molecular characterization of CSpV1 in Turkey.

FELINE GIARDIASIS IN TURKEY: PREVALENCE AND GENETIC AND HAPLOTYPE DIVERSITY OF GIARDIA DUODENALIS BASED ON THE ß-GIARDIN GENE SEQUENCE IN SYMPTOMATIC CATS.

Giardia duodenalis is a common zoonotic protozoan parasite with a broad host distribution. The main objectives of the present study were to determine the prevalence of giardiasis and to reveal the genetic and haplotype diversity of G. duodenalis in symptomatic cats in Turkey. Fecal samples were collected from cats (n = 102) with diarrhea that were admitted to different pet clinics in the Central Anatolia region of Turkey. All samples were analyzed by microscopic examination (ME), rapid immunochromatographic test (ICT), and PCR targeting the ß-giardin (bg) loci of the parasite. Phylogenetic, haplotype, and network analyses of G. duodenalis based on the bg gene were carried out. Overall, G. duodenalis was detected in 70/102 (68.6%) of the cats with diarrhea by ME (38/102, 37.3%), ICT (51/102, 50%), and PCR (30/102, 29.4%). According to sequence analyses of the bg gene region, all isolates were identified as G. duodenalis assemblage B. Haplotype analyses revealed 2 known and 8 novel haplotypes for G. duodenalis assemblage B. This study provides first prevalence and genetic and haplotype diversity data on G. duodenalis assemblage B from cats in Turkey.

Investigation of Anisakis larvae in different products of ready-to-eat fish meat and imported frozen fish in Turkey.

Globalization opens new market areas and affects food consumption habits, resulting in rapid and remarkable cultural change. Food habits such as consumption of raw fish meat have become popular, resulting in increased risk of emerging infectious diseases. Anisakis simplex sensu stricto (s.s) and A. pegreffii are the most common and important fish-borne zoonotic nematodes responsible for human anisakiasis, which occurs through the consumption of raw or undercooked fish as well as cooked fish due to their heat-stable allergens. Here, we investigated the prevalence, intensity, and abundance of Anisakis larvae in imported fish and ready-to-eat local fish products in Turkey. A total of 205 ready-to-eat fish products, 100 imported frozen Atlantic salmon (Salmo salar) fillets, and 100 imported frozen whole Atlantic mackerel (Scomber scombrus) were sampled from supermarkets, sushi restaurants, and fish markets. All samples were individually examined using a pepsin digestion technique. In total, 602 Anisakis type I larvae were recovered from 98/100 mackerel. No larvae were found in ready-to-eat products or frozen Atlantic salmon fillets. Overall, 8.8% of the larvae were found in the muscle tissue. The overall mean intensity and abundance of infection in mackerel were 6.14 and 6.02, respectively. The larvae were molecularly identified and their phylogenetic relationships with the relevant Anisakis sequences in GenBank were investigated. For this purpose, a subsample of randomly selected 100 Anisakis larvae were analyzed with PCR-RFLP of the ITS region. The larvae were identified as A. simplex (s.s.) (n = 87) and hybrids (n = 13). ITS and cox2 gene regions of all hybrids and randomly selected 50 A. simplex (s.s.) larvae were sequenced for species confirmation and phylogenetic analyses. No intraspecific nucleotide variation was found among the ITS sequences of either species. Seven and three haplotypes, respectively, were identified for A. simplex (s.s.) and hybrid species according to DNA polymorphism of the cox2 gene. Hybrids in our study clustered within the common A. simplex (s.s.) clade in the cox2 phylogenetic tree indicating the dominance of A. simplex (s.s) in the catching area of Atlantic mackerel. Consequently, our study indicates high occurrence of A. simplex (s.s.) larvae with an overall 98.0% prevalence in imported Atlantic mackerel, and highlights the importance of these fish as potential reservoirs for human allergic anisakiasis in Turkey and possibly in other countries.

Molecular prevalence and genotyping of Giardia duodenalis in cattle in Central Anatolia Region of Turkey.

The molecular prevalence and genotypes of Giardia duodenalis in cattle were investigated. A total of 450 fecal samples were collected from cattle in three provinces of Central Anatolia from August 2017 to July 2019. Genomic DNA was extracted from the fecal samples and used in molecular analysis carried out by nested PCR analyses of the ß-giardin (bg) gene of G. duodenalis. Positive samples were further analyzed by nested PCR at two gene loci (triosephosphate isomerase (tpi) and glutamate dehydrogenase (gdh)) for genotyping of G. duodenalis isolates. PCR analyses of the bg gene indicated that the overall prevalence of G. duodenalis was 30.2%. However, lower rates were determined with PCR analyses for gdh and tpi loci. The sequence analyses of the bg, gdh, and tpi genes revealed the presence of zoonotic assemblage A and livestock-specific assemblage E. Combined-sequence analyses revealed that assemblage E was the most common in the study area. Our study provides the first data on the wide prevalence of livestock-specific assemblages E in cattle in Turkey. The prevalence of assemblage A in cattle also reveals the importance of cattle for zoonotic transmission of giardiasis in Turkey.

First report on the molecular prevalence of Enterocytozoon bieneusi in horses in Turkey: genotype distributions and zoonotic potential.

Horses might play an important role as reservoir hosts in the epidemiology of Enterocytozoon bieneusi, which is one of the most important zoonotic microsporidian pathogens, with a wide range of hosts. Nevertheless, limited information is available on the infection rates and genotypes of E. bieneusi in horses, and no data are available on the occurrence and molecular characteristics of E. bieneusi in horses in Turkey. We determined the prevalence of E. bieneusi among horses raised on farms from two provinces of Central Anatolia Region, by amplification of the partial small subunit ribosomal RNA gene using nested PCR. We identified the genotypes of E. bieneusi isolates by analyzing the ribosomal internal transcribed spacer (ITS) sequences. The overall prevalence of E. bieneusi was 18.7% (56/300), with no significant differences in infection rates among age groups or between genders of horses. Sequence analysis revealed eight genotypes: two known genotypes (ERUSS1, BEB6) and six novel genotypes (named ERUH2 to ERUH7). The genotype ERUSS1 was the most common and was found on all farms, age groups, and genders. Phylogenetic analysis clustered all the identified genotypes in ruminant-specific group 2. Our findings contribute to the molecular epidemiology of E. bieneusi.

Development of Mischmetal-Fe-Co-B Permanent Magnet Alloys via High-Throughput Methods.

Additive manufacturing synthesis using laser engineered net shaping (LENS) is utilized to rapidly print libraries of mischmetal (MM = La, Ce, Nd, and Pr) containing R2TM14B alloys (R = MM + separated Nd and TM = Fe and Co) enabling robust evaluation of physical properties over a wide composition range. High-throughput characterization of the magnetic and thermal properties are used to identify compositions for potential high-temperature, high-performance permanent magnets with reduced critical rare-earth elements. Improved Curie temperature (Tc ∼ 450 °C) is obtained with substitution of Fe by Co in pseudoternary R2TM14B alloys. Furthermore, a 4-fold decrease in the Nd content can be achieved through substitution with less critical Ce- and La-rich MM, while retaining high Tc. Guided by the properties of the LENS printed samples, selected compositions with and without TiC additions are synthesized via melt-spinning techniques to produce nanostructured ribbons. The maximum room temperature coercivity (Hc) and energy product ((BH)max) without TiC are found to be 5.8 kOe, 8.5 MGOe, respectively, while TiC additions as a grain refiner gave Hc and (BH)max of 4.9 kOe, 9.8 MGOe, respectively. Structural characterization of the melt-spun ribbons shows homogeneous grain refinement with TiC additions, which leads to an increase in the energy product.