Plant chitinases (EC 3.2.1.14) are considered as typical defense components under various environmental stresses, including heavy metals. In addition, some of them play crucial role in normal plant growth and development. In this work the profile and activities of these enzymes were analyzed to study the variability of defense within soybean plants. For this, two cultivars with contrasting tolerance to metals were exposed to ecologically relevant doses of arsenic and cadmium. Enzyme profiles revealed a spatial distribution of chitinase activities throughout the individual plants, tending to decrease upwards to the top of the plants. Under metal stress, there was a single responsive isoform detected in roots that behaved opposingly in the studied soybean cultivars. In contrast, several isoforms were activated in aboveground tissue, predominantly in mature (older) leaves. Of these, two were identified (21 and 42 kDa) as more specifically involved in defense against metal stress in soybean. The 21 kDa isoform was concluded as possibly contributing to metal tolerance and deserves further investigations at molecular level. Nevertheless, no sound interaction was detected between leaf developmental stage and responsiveness to metals for either of the chitinase isoforms. Further studying the distribution of induced defense within plants is important in understanding the defense strategy of plants against environmental cues including metals.

We studied occupational exposure to phthalates from first-morning-void urine sample of hairdressing apprentices by HPLC-MS/MS analyses and association with health status. Metabolites of mono(2-ethyl-5-hydroxyhexyl) phthalate (MEHHP), mono ethyl phthalate (MEP), mono- n-butyl phthalate (MnBP) and mono-iso-butyl phthalate (MiBP) were detected in all urine samples, followed by metabolites mono(2-ethyl-5-oxohexyl) phthalate (MEOHP) and mono(2-etylhexyl) phthalate (MEHP) occurring in 97.06% and 86.76% of samples, respectively. Positive associations for females were observed between MnBP and fat-free mass index (FFMI) and age; negative associations were found between MEHP, MEOHP, MEHHP, sum of MEHP, MEHHP, MEOHP and vital capacity and also between MEHP and forced vital capacity (FVC of predicted value (PV)). Lengths of exposure were associated to MnBP, MEHHP, and MEP. We also documented positive associations between anthropometry (body mass index, waist-to-height ratio (WHtR), FFMI, fat mass index) and pulmonary function FVC% of PV for females and negative associations between WHtR, waist-to-hip ratio, FFMI and ratio of forced expiratory volume in 1 s (FEV1) to FVC (FEV1/FVC). We assume that factors of occupational environment of hairdressing apprentices are affected by phthalates and resulted in negative outcomes in breathing mechanism and influence of body composition. Adipose tissue could play role as confounding factor in urine excretion of phthalates because of their lipid solubility and accumulation.

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The kinetics of defense responses was studied in soybean exposed to ecologically relevant concentrations of arsenic for 96 h. In the roots of two soybean cultivars with contrasting tolerance to this metalloid there were observed differences in basal levels of membrane lipid peroxidation as well as a significantly different course of peroxidation upon exposure to As. The different course of stress was reflected in the accumulation of defense components. The responses of individual chitinase isoforms were studied since these enzymes had previously been shown to be stable components of defense against metals. The kinetics and magnitude of accumulation of the three isoforms during exposure to As significantly differed within as well as between the studied cultivars. Furthermore, accumulation of these isoforms appeared to be related to oxidative status in the root tissue. The timing of induced responses is likely to be important for efficient defense against metal(oid) pollution in environment.

Graphs can be considered as useful mathematical models. Graph algorithms are a common part of undergraduate courses in discrete mathematics. Even though they have been successfully implemented in secondary curricula, little research has been dedicated to the analysis of students’ work. Within a discrete mathematics course for university students, several graph algorithms were introduced via their applications. At the end of the course, the students took a test focused, inter alia, on applications of the algorithms. The mistakes that occurred in 127 students’ solutions of three problems (the Chinese postman problem, the shortest path problem, and the minimum spanning tree problem) were categorized and compared. Surprisingly, no mistakes were identified in the mathematization of situations or in the interpretation of results with respect to the wording of the problem. The categories of errors varied regardless of the problem types. Hierarchical cluster analysis grouped together the students’ solutions for the Chinese postman problem and the minimum spanning tree problem. By means of nonparametric item response theory analysis, the Chinese postman problem was identified as the most problematic for students. Possible sources of this difficulty are discussed in more detail herein.

Plants have a potential for the uptake and accumulation of essential and non-essential trace elements. The ability to take up and tolerate metals varies between and within species as well as between metals. For most metals, the mechanisms involved in plant tolerance, uptake and accumulation are still not fully known and it is not known to what extent the plant response is metal-specific rather than a general stress response. In the present study, the growth response of soybean to Cd, As, Al and NaCl was compared and contrasted to simple sequence repeat (SSR) marker analysis results for Cda1, a dominant gene located in a major quantitative trait locus that regulates Cd accumulation in soybean, to evaluate the hypothesis that general effect patterns are induced by the individual metals. Principal component analysis revealed that the root growth response was most diverse for Al exposure and decreased in the order of Al > As > Cd > NaCl. NaCl did not exert a differentiating effect, indicating response mechanisms similar, at least partially, to metal exposure. The applied stressors yielded a distinguishable pattern of root responses, indicating the potential of such screens to identify agents acting similarly or differently. The SSR marker analysis also facilitated characterization of the Cd accumulation potential of the 22 soybean cultivars studied, and thereby identification of cultivars with potential health risk under cultivation in Cd-contaminated soils.

Chitinases in Glycine max roots specifically respond to different metal types and reveal a polymorphism that coincides with sensitivity to metal toxicity. Plants evolved various defense mechanisms to cope with metal toxicity. Chitinases (EC 3.2.1.14), belonging to so-called pathogenesis-related proteins, act as possible second line defense compounds in plants exposed to metals. In this work their activity was studied and compared in two selected soybean (Glycine max L.) cultivars, the metal-tolerant cv. Chernyatka and the sensitive cv. Kyivska 98. Roots were exposed to different metal(loid)s such as cadmium, arsenic and aluminum that are expected to cause toxicity in different ways. For comparison, a non-metal, NaCl, was applied as well. The results showed that the sensitivity of roots to different stressors coincides with the responsiveness of chitinases in total protein extracts. Moreover, detailed analyses of acidic and neutral proteins identified one polymorphic chitinase isoform that distinguishes between the two cultivars studied. This isoform was stress responsive and thus could reflect the evolutionary adaptation of soybean to environmental cues. Activities of the individual chitinases were dependent on metal type as well as the cultivar pointing to their more complex role in plant defense during this type of stress.