1. Introduction
Pathogens and diseases cause around 20 to 40% of agricultural losses worldwide [1]. Biocontrol agents are an alternative to agrochemicals to avoid pests, improve plant growth, and produce sustainable production yield. For instance, Trichoderma species are widely used. The biological functions of this fungus include mycoparasitism, competition with other fungi for space and nutrients, antibiosis, stimulation of lateral root development, degradation of toxic compounds, enhancing nutrient solubility, mineral acquisitions, and induction of plant defense response [2]. The beneficial activity of Trichoderma depends on their ability to establish molecular signaling with the plant, actively secreting and exchanging molecules such as cell wall degrading enzymes, siderophores, volatile and non-volatile metabolites [3].
Volatile Organic Compounds (VOCs) are gases-phase and carbon-based molecules characterized by low molecular weight and high vapor pressure. All living beings produce VOCs from their specialized metabolism, and their particular production responds to internal and external stimuli. The chemical diversity of VOCs includes alcohols, ketones, esters, alkenes, monoterpenes, sesquiterpenes, among others [4,5,6,7].
Volatiles play essential roles as signaling molecules during interactions among organisms. For example, some volatiles of fungal origin (fVOCs) have important effects on plant growth and defense [2,8]. The 6-Pentyl--Pyrone (6-PP) is a very common fungal-produced volatile with the popular “coconut” aroma [3]. Adding 6-PP to plant growth media or directly applying it to their leaves increases root number and biomass production [9,10]. The 6-PP can also inhibit the growth of several plant pathogens, such as Botrytis cinerea, Phytophthora megasperma, Rhizoctonia solani, Armillaria mellea, and Fusarium spp. [3].
Moreover, this fVOC participates in multiple plant defense responses such as Reactive Oxygen Species (ROS) production; anthocyanins, phytoalexin, and camalexin accumulation; increasing the number of trichomes; activate defense genes, mainly associated with salicylic acid (SA) pathway; and increased glucosinolates levels in plants [10,11]. However, it is still unknown how this molecule interacts with the plant and how it is regulated.
The principal method for the study of volatiles is gas chromatography (GC), coupled with flame ionization detection (FID) or mass spectrometry (MS). Usually, the VOCs are collected first on solid-phase microextraction (SPME) fibers. GC methods require considerable sample preparation and have limited time resolution [2]. A complete SPME-GC-MS takes at least an hour. In addition, the SPME fibers only trap part of the VOCs, depending on the chosen material, and could become saturated by abundant VOCs, masking other VOCs that might be biologically relevant.
In stark contrast, new ambient ionization MS (AIMS) methods enable life-compatible real-time measurements [12,13,14]. Introduced in the early 2000s, ambient ionization mass spectrometry (AIMS) represents a revolution in chemical analysis, and complex mixtures can be analyzed without previous sample manipulation [15]. In addition, these methods are suitable for in vivo and in situ studies [16]. The first ambient ionization MS described was the solvent-based desorption electrospray ionization (DESI) technique [17], closely followed by plasma-based direct analysis in real-time (DART) [18]. Rapidly, numerous ambient techniques have been reported [19,20]. Furthermore, improvements in the design and analytical performance of different methods helped in their application in various fields, from forensics to clinical analysis, including imaging [21,22,23].
One of these ambient ionization methods is LTP coupled with MS, first reported by Harper et al. [24], which has many advantages over other ionization sources:
LTP allows chemically very diverse molecules to be ionized, since the plasma simultaneously contains positively or negatively charged particles.
LTP systems are adaptable to any MS with an accessible atmospheric inlet, e.g., coupling with linear ion trap, quadrupole, or Fourier Transform-Ion Cyclotron Resonance (FTICR) spectrometers.
The operating conditions of LTP-MS systems are more straightforward than conventional mass spectrometry ionization sources such as EI, ESI, or MALDI.
LTP is solvent-free, and the temperature is kept below 40 °C. [16,23].
LTP-MS has previously been used to study plant metabolite production, quality control of market products, pharmaceutical, petrochemical, microorganism identification, and imaging of volatile and semi-volatile compounds effectively [14].
External and internal stimuli can modify an organism’s particular State of Health (SoH), a parameter that can be assessed by measuring the metabolic activity of organisms [25]. Therefore, VOCs can reflect SoH, and biological processes can be monitored through volatile emissions; for example, some human diseases are detectable by measuring these molecules [26]. Compensatory mechanisms, namely homeostasis, control SoH. Homeostasis is a term that joins two key ideas: (i) the internal stability of an organism and (ii) coordinated adaptive responses to maintain this internal stability [27]. Claude Bernard first defined ‘homeostasis’ as the ability to keep the internal environment constant [28,29,30]. Monitoring homeostasis in living systems is not trivial. We usually take punctual measurements of biological parameters (for example, temperature, blood pressure, and pH, etc.). However, continuous monitoring of physiological variables is still challenging due to technological limitations and the lack of data analysis tools [27,29]. The introduction of time series analysis to calculate homeostasis is a novel topic. For example, Fossion et al. [27] reported using different algorithms based on time series analysis to study variables of diabetes and non-diabetes patients, such as blood pressure and heart rate. However, VOC production analysis using time-series algorithms has not been reported until now. In the Fossion et al. study, heart rate was identified as a physiological variable, since, contrary to other types of variables called regulated (such as blood pressure), the heart rate in healthy patients was characterized by its high variability and adaptability. On the contrary, in patients with diabetes, this variability decreased, losing the adaptability era of the system. Thus, they were able to demonstrate how the behavior of these variables contributes to the health of the organism.
In this work, we use a low-temperature plasma (LTP) ionization source coupled with mass spectrometry (MS) to measure the dynamics of 6-PP production by T. atroviride during interaction with A. thaliana. The 6-PP production pattern analysis showed this molecule as a physiological variable that follows the rules of homeostasis in an ecological two-organism system. Furthermore, we show that time series analysis of AIMS data enables studying the VOC’s pattern dynamics in biological systems.
2. Methods
2.1. Biological Material
Arabidopsis thaliana Col-0 seeds were disinfected with 70% (v/v) ethanol for 1 min, washed with chlorine 20% (v/v), and rested for seven minutes. Next, the seeds were washed with deionized sterile water four times. Finally, seeds were suspended in 300 L of sterile water and kept at 4 °C for three days in darkness (Figure 1).
Trichoderma atroviride was grown on Luria–Bertani (LB) solid media, and spores were collected on 50% of glycerol v/v. Spores were counted on a Neubauer chamber and stored at −80 °C until their use.
2.2. Plant Growth Conditions
We planted the A. thaliana seeds in plates with 0.2× of Murashige & Skoog medium (MS) (Sigma), 30 g/L of saccharose (Sigma), 7 g/L of agar, and a pH adjusted to 5.7 with hydrochloric acid (HCl) (Sigma) solutions. In each plate, 20 seeds were grown in a photoperiod of 16:8 h of light: dark with a temperature of 22 °C for five days. Plates were placed at 65° relative to the horizon.
2.3. Infection with T. atroviride
After five days of growth, A. thaliana, was inoculated with 8 × 104 spores of T. atroviride. Plates were analyzed immediately at room conditions. Plates were placed at 65° relative to the horizon.
2.4. 6-PP Determination by Standardized SPME-GC-MS
To identify the 6-PP molecule using a standard method, we performed a Solid-Phase Microextraction (SPME) on days 3 and 5. The fiber (fused silica fiber plain blue hub for volatiles) was exposed for 1 h. The injection sample port was at 230 °C to introduce the compounds in an Agilent 19091S-433 HP-5 ms column. GC-MS detected VOCs in the following conditions: start at 45 °C with a gradient of 9 °C/min up to 250 °C, maintaining the temperature for 1 min, and decreasing it to 220 °C, as described in [11]. The data were compared to the National Institute of Standards and Technology (NIST) 2008 database, with Enhanced ChemStation (v. F.01.01.2317) from Agilent Technologies with a spectra similarity of 87.4% [31].
2.5. 6-PP Determination by LTP-MS
For ambient ionization mass spectrometry (AIMS), we used a 3D-printed low-temperature plasma (LTP) probe, described in [32].
Aliquots of 6-PP standard (Sigma) were exposed directly to the LTP-MS system. The molecular ion was detected at 167.1 [M + H]+ m/z and fragmented at 30 eV on an LCQ Fleet ion trap (Thermo Scientific, USA).
The identity of 6-PP in the T. atroviride-A. thaliana monitoring experiments were confirmed on the third and fifth days by direct LTP-MS. The 167.1 m/z ions were detected, isolated, and fragmented at 30 eV and compared with the genuine standard (Sigma, Mexico).
A comparison between an experiment’s 30 eV fragmentation spectrum and the genuine standard is demonstrated in Figure 2.
2.6. 6-PP Kinetics and Other VOCs by LTP-MS during T. atroviride-A. thaliana Interaction
Full MS spectra were taken from medium plates, A. thaliana, T. atroviride, and co-cultivation every hour, starting with the inoculation. For automated measurements, we used the open LabBot [33]. We cleaned the MS inlet with methanol for 1 min before each measurement. We tested each condition with three biological replicas and three technical replicas composed of 10 micro scans per minute.
The kinetics of 6-PP were analyzed by a mean of the three biological samples and obtained its standard deviation at each measurement. To quantify 6-PP production, the area under the curve of the mean of biological replicates were obtained.
2.7. Data Analyses
We used the Julia programming language (
3. Results
3.1. Identification of 6-PP by SPME-GC-MS
After three days of A. thaliana-T. atroviride interaction; we identified 6-pentyl--pyrone (6-PP) using SPME-GC-MS. A peak at approximately 14 min indicated the presence of the compound of interest. We identified 6-PP by matching the experimental fragmentation pattern with the NIST database (Figure 3A–C).
3.2. Identification of 6-PP by LTP-MS
The molecular ion of 6-PP was detected at 167 m/z [M + H]+ with LTP-MS. We confirmed its identity by comparing the fragmentation pattern of this ion with a genuine standard compound (Figure 2).
3.3. Time Series of 6-PP Kinetics Production
3.3.1. Time Evolution and Behavior
The time course experiment, shown in Figure 4A, indicates that the 6-PP signal is consecutively emitted by T. atroviride only; the maximum amount of 6-PP production was achieved on the fifth day when A. thaliana and T. atroviride were co-cultivated (Figure 4A). The production of 6-PP during the night is higher than during the day, indicating a circadian regulation in T. atroviride. The 6-PP overall production of the consortium was about five times increased compared to the pure culture of T. atroviride and also lasted two days longer (Figure 4B).
3.3.2. Frequencies and Statistical Moments
In Figure 5A, at the frequency domain, A. thaliana 6-PP production exhibits a Gaussian-like behavior, similar to white noise, representing the plant’s lack of the 6-PP production. In contrast, Figure 5B, 6-PP production in T. atroviride alone shows high asymmetry; physiological variables in human health have demonstrated this characteristic. In Figure 5C, when both organisms interact, frequency is balanced in between, exhibiting an asymmetrical pattern, but less than in T. atroviride alone. In Table 1, we summarize statistical moments. A. thaliana signal emission is near zero, while T. atroviride signal emission illustrates high kurtosis and skewness. When the two organisms grow together, both statistical moments decrease and stabilize.
3.3.3. Autocorrelations
In Figure 6A, the 6-PP signal in A. thaliana shows low autocorrelation, characterized by random behavior. In contrast, the signal in the culture of T. atroviride reflects higher autocorrelation than the culture of A. thaliana (Figure 6B; however, in Figure 6C, the autocorrelation exhibited during the interaction between A. thaliana and T. atroviride behaves as the sum of the two individual correlations.
3.3.4. Poincaré Plot
The A. thaliana signal reflects a low correlation of one point to the next; its behavior is highly random (SD1/SD2 = 0.7789), and it depends only on the equipment measurements since A. thaliana does not produce 6-PP, as seen in Figure 7A. In contrast, the T. atroviride Poincaré plot has an elliptical shape, which means previous points do not determine the next ones (SD/SD2 = 0.58816); its behavior is somewhat random (Figure 7B). For the interaction of A. thaliana with T. atroviride, the Poincaré plot shows an intermediate (SD1/SD2 = 0.5222) of both previous conditions (Figure 7C).
4. Discussion
Homeostasis is a fuzzy concept that has been defined multiple times. Originally, homeostasis was described as the main property of individual organisms, where a set point or ‘balance’ has to be maintained for an organism to function correctly; the balance is achieved through special internal regulation such as control theory found in engineering systems [28,34,35]. However, this concept has been extended by studying homeostasis at broader biotic levels.
From an ecological point of view, homeostasis is the tendency of an ecosystem to maintain the stability of specific properties, such as energy, productivity, biomass, or nutrient flux, despite abiotic environmental perturbations or changes in the biotic composition [36,37]. Moreover, homeostasis has been described as a property that can emerge in a system with diverse biological components and multiple environmental variables.
On a macro level, the ‘Gaia hypothesis’ states that the earth, with its biota, acts as a homeostatic geophysiological system that regulates global properties [38,39]. In this work, we study the role of a volatile compound in the homeostatic balance between two species.
Two main paradigms have quantified homeostasis. The first one is the early-warning signals, in which a set point has to be maintained to perform correctly. This regulation is assured by different control systems or feedback loops within individuals. On the contrary, the critical transitions paradigm explains that physiological variables have to exhibit high variability and non-Gaussian distribution increases in adverse conditions.
New studies have bridged both views in a single one where homeostasis balances robustness and adaptability. In this view, variables are regulated, non-regulated, or physiological. Regulated variables must be tightly controlled, while physiological variables respond to external stimuli and exhibit non-Gaussian behaviors [27].
4.1. Dynamics of 6-PP Production in Plant-Fungal Interaction
In this study, we calculated statistical moments and time series algorithms to show that 6-PP is a physiological variable in the interaction of Arabidopsis thaliana and Trichoderma atroviride.
6-PP modulates the transporters of the auxin signaling pathway, inducing the formation of lateral roots (TIR, AFB2, and AFB3 receptors and ARF7 and ARF19 transcription factors). In addition, EIN2, a key element in the ethylene signaling pathway, is also involved in detecting the 6-PP molecule in primary roots [11].
To understand the possible role of 6-PP as a physiological variable, we monitored 6-PP production by T. atroviride as part of the volatiles secreted by fungal colonies alone or in interaction with A. thaliana plants. LTP-MS analysis revealed that the production of 6-PP is higher in the presence of A. thaliana. During the interaction, 6-PP production was detected from the third to the eighth day, and the maximum production was reached on day 5th, which correlates with previous studies [3,5]. Although VOCs secreted by T. atroviride include hundreds of compounds, 6-PP has been identified as the most prominent VOC in some Trichoderma spp.
We also found that 6-PP production increases when the night begins. We measured the highest concentration of 6-PP at 20:00 (Figure 4). A recent study showed that the circadian clock of T. atroviride regulates the 6-PP molecule and that 6-PP production is highest upon dark incubation, which agrees with our results [40,41]. Moreover, another study demonstrated an increase in 6-PP at night and a decrease in other VOC types [42].
The emission of 6-PP by T. atroviride alone is present and exhibits high skewness and kurtosis. As a result, its production shows a non-Gaussian distribution, a significant characteristic of physiological variables (Table 1). On the other hand, when interaction A. thaliana - T. atroviride exists, the production of 6-PP increments but the skewness and kurtosis decrease, which expresses the system’s stability when both organisms are present. Moreover, 6-PP production when A. thaliana - T. atroviride interact exhibits high autocorrelation (Figure 6). The autocorrelation parameter measures the relationship between a variable’s current and past values. In other words, 6-PP demonstrates modulation during the interaction, for its production is separated by various time lags.
In contrast, the autocorrelation of 6-PP by T. atroviride alone is lower. Biological variables are classified into regulated and physiological variables within a physiology framework. Regulated variables remain constant and show normal statistics, physiological variables adapt to disturbance to ensure the system’s stability, and normal behavior is not presented [43,44]. Thus, we designate the 6-PP as a physiological variable.
Another important recurrence plot is the Poincaré diagram, which is usually a geometrical and nonlinear method to assess heart rate variability (HRV) dynamics [27]. However, it also expresses self-similarity in processes. In this case, when A. thaliana and T. atroviride are interacting. The Poincaré plot describes an intermediate response (SD1/SD2 = 0.5222), not too deterministic nor too random, suggesting that 6-PP is under homeostatic regulation (Figure 7C). On the contrary, when T. atroviride alone, 6-PP emission indicates higher randomness (SD1/SD2 = 0.58816). The system represents an example of two organisms utilizing VOCs as trans-kingdom signals to establish a relationship.
Most studies are focused on the T. atroviride production of metabolites and how this organism affects A. thaliana growth and defense responses. However, little is known about how A. thaliana could modulate this beneficial relationship as feedback control. 6-PP is probably synthesized from linoleic acid using reduction, -oxidation, and isomerization processes [2]. However, the exact biosynthesized pathway for the production of 6-PP remains to be elucidated, and a lipooxygenase gene unique to T. atroviride may be involved. A mutation in the G alpha subunit gene TG1 of T. atroviride diminishes 6-PP production and elevates internal cAMP concentrations and continuous sporulation. Furthermore, it is documented that the transcriptor factor Thctf1 is involved in 6-PP production and antifungal activity of T. harzianum [25].
4.2. Time-SERIES Analysis of Biological MS Data with Julia
Apart from the technical challenges, data analysis is also defiance. Analyzing the data with complex systems and a time series approach allows for finding relevant parameters for the physiology of living systems. The time evolution or time series of these variables is conjectured to reflect the dynamics of the underlying homeostatic regulatory mechanisms and to correlate with the health status of the organ, process, or system under study [27,45]. Time series in Trichoderma alone have been studied to investigate the chemical diversity of four Trichoderma spp., using two different mass spectrometry techniques. Guo et al. [46] developed a platform for VOC-based chemotyping for a real-time headspace analysis based on multivariate data analysis and machine learning to obtain volatile metabolic fingerprints.
Combining bio-compatible technology and data analysis with complex systems and a time series approach, we managed to track 6-PP and observe that it acts as a physiological variable during A. thaliana - T. atroviride interaction.
For the statistical analyses, we used the open-source programming language Julia
4.3. LTP-MS for Monitoring VOCs in Biological Systems
VOC monitoring can indicate some organisms’ State of Health (SoH). However, VOC studies have been hampered by the need for proper methods, techniques, and dynamic assessments. VOC identification is usually achieved by gas chromatography (GC) coupled to FID and MS analyzers. Proton-transfer reaction (PTR) MS [48] is suitable for ‘in situ’ analysis but is costly for routine studies and cannot detect all compounds. Structure characterization and identity confirmation are achieved by matching mass spectra and linear retention induced using GC-MS solution with NIST libraries. 6-PP is usually detected by TLC and HPLC analyses based on ethyl acetate extraction. However, various sample processing steps are necessary for obtaining the crude extracts (filtration, harvesting, drying and evaporating, solubilizing, and analyzing); therefore, the original dynamics are lost [2].
The Low-Temperature Plasma coupled to Mass Spectrometry (LTP-MS) [32]; is suitable for in vivo monitoring of VOCs under ambient conditions, allowing follow biological processes through their volatile emissions. In this study, we show that LTP-MS is also a suitable method for 6-PP monitoring.
Current methods for VOC measurements require highly skilled human resources. We compared LTP-MS with SPME-GC-MS, and the following problems were identified in the SPME-GC-MS technique:
High fiber saturation with water results in poor VOC capture.
Molecules are lost because of fiber selectivity.
Extensive time of capture and separation for molecule identification, 1.3 h at least between both phases.
For this study, LTP was superior to SPME-GC-MS because time and sample preparation steps were reduced, and higher time resolution was obtained.
The ambient conditions of the LTP-MS measurements enabled the direct study of VOC production during the plant-fungus interaction without any sample manipulation. Thus, LTP-MS facilitates the collection of biologically meaningful data.
Coupling LTP ionization to miniature mass analyzers such as the Mini 12 [49] and the MoBiMS [12] will further support the development of biocompatible MS technologies.
5. Conclusions
We studied the homeostasis of a plant-fungal interaction by combining ambient low-temperature plasma (LTP) ionization mass spectrometry (MS) with time series analysis.
Arabidopsis thaliana modulated the production of 6-pentyl--pyrone (6-PP) of the fungus Trichoderma atroviride. Since A. thaliana is not capable of 6-PP biosynthesis when grown alone, the plant must regulate the 6-PP level as a physiological variable during the interaction.
Our results demonstrate the tremendous potential of studying volatile organic compounds (VOCs) in biological systems with in vivo ambient mass spectrometry methods such as low-temperature plasma (LTP) ionization.
Conceptualization, R.W., R.T.-O., H.G.-A. and R.A.-V.; Data curation, H.G.-A.; Formal analysis, R.T.-O., H.G.-A. and R.A.-V.; Funding acquisition, R.W. and J.M.-T.; Investigation, R.W., R.T.-O., H.G.-A., R.A.-V., E.R.-C. and J.M.-T.; Methodology, R.W., R.T.-O., H.G.-A., R.A.-V., E.R.-C. and J.M.-T.; Project administration, R.W.; Resources, R.W. and J.M.-T.; Software, R.T.-O.; Supervision, R.W., E.R.-C. and J.M.-T.; Validation, R.A.-V.; Visualization, R.T.-O., H.G.-A. and R.A.-V.; Writing—original draft, R.T.-O., H.G.-A., R.A.-V., E.R.-C. and J.M.-T.; Writing—review & editing, R.W. All authors have read and agreed to the published version of the manuscript.
Not applicable.
Not applicable.
Not applicable.
We appreciate the teaching and discussion about time series analyses with Ana Leonor Rivera López, Centro de Ciencias de la Complejidad, Instituto de Ciencias Nucleares, UNAM, Mexico. We also thank for the excellent technical support by our laboratory assistants Maria Isabel Cristina Elizarraraz Anaya and Maria Teresa Carrillo Raya.
R.W. is co-inventor of the patent application “Non-thermal plasma jet device as source of spatial ionisation for ambient mass spectrometry and method of application” (WO 2014/057409). R.W. is a shareholder of the company Kuturabi SA de CV. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.
We followed the “Periodic Table of Mass Spectrometry (MS) Terms” [
6-PP | 6-Pentyl-2H-pyran-2-one |
AIMS | ambient ionisation mass spectrometry |
DART | direct analysis in real-time |
DESI | desorption electrospray ionisation |
EI | electron impact |
ESI | electrospray |
FID | flame ionization detection |
fVOC | fungal volatile organic compound |
GC | gas chromatography |
HCl | hydrochloric acid |
HPLC | high-performance liquid chromatography |
HRV | heart rate variability |
LTP | low-temperature plasma |
LB | Luria-Bertani |
MALDI | matrix-assisted laser desorption/ionisation |
MA | methamphetamine |
MS | mass spectrometry |
MS medium | Murashige & Skoog medium |
NIST | National Institute of Standards and Technology |
PTR | proton-transfer reaction |
ROS | reactive oxygen species |
SA | salicylic acid |
SoH | state of health |
SPME | solid-phase microextraction |
TIC | total ion current |
VOC | volatile organic compound |
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Figure 1. Experimental set-up for studying the plant-fungal interaction between Arabidopsis thaliana and Trichoderma atroviride in vivo with low-temperature (LTP) ionization mass spectrometry (MS).
Figure 2. Fragmentation of 6-PP, measured by low-temperature plasma (LTP) ionization mass spectrometry (MS), on an ion trap with 30 eV collision energy. The spectra from the plant-fungal interaction (top) and a genuine 6-PP standard (bottom) demonstrate high agreement, confirming the identity of 6-PP.
Figure 3. Identification of 6-pentyl-[Forumla omitted. See PDF.]-pyrone (6-PP) using gas chromatography coupled with mass spectrometry (GC-MS). (A) Chromatogram based on Total ion current (TIC), 6-PP was detected at minute 14.6. (B) Experimental GC-MS spectrum at 14.6 min. Fragments that match the 6-PP standard fragmentation pattern are highlighted in red. (C) NIST database hit of 6-PP.
Figure 4. Monitoring of 6-PP production with low-temperature plasma (LTP) ionization mass spectrometry (MS). The mean value and the standard deviation for each measurement are shown. (A) The observed 6-PP concentration at night is higher, suggesting a circadian regulation. (B) The plant-fungal interaction between Arabidopsis thaliana and Trichoderma atroviride shows much higher levels of 6-PP than the individual pure cultures. The relative 6-PP production corresponds to the sum of all measurements.
Figure 5. Histograms of the 6-PP ion signal during the experimental time course. (A) Arabidopsis thaliana (background, no 6-PP production detected) (B) Trichoderma atroviride (constitutive production of 6-PP at low level). (C) Interaction between Arabidopsis thaliana and Trichoderma atroviride.
Figure 6. Autocorrelation of the 6-PP signal for the individual organisms: Arabidopsis thaliana (purple line), Trichoderma atroviride (yellow line), and (C) A. thaliana + T. atroviride interaction (green line).
Figure 7. Poincaré of the 6-PP signal for the individual organisms (A) Arabidopsis thaliana (purple dots) (SD1 = 8.6795 [Forumla omitted. See PDF.], SD2 = 0.0001, SD1/SD2 = 0.7789), (B) Trichoderma atroviride (yellow dots) (SD1 = 0.004, SD2 = 0.007, SD1/SD2 = 0.58816), and (C) A. thaliana - T. atroviride interaction (green dots) (SD1 = 0.01545, SD2 = 0.0295, SD1/SD2 = 0.5222).
Time series model of Arabidopsis thaliana interactions with Trichoderma atroviride.
Condition | Skewness | Kurtosis |
---|---|---|
A. thaliana | 0.424891559 | −0.319935009 |
T. atroviride | 3.51034121 | 11.65552257 |
A. thaliana + T. atroviride | 2.442766689 | 6.019413496 |
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Abstract
Volatile organic compounds (VOCs) comprises a broad class of small molecules (up to ~300 g/mol) produced by biological and non-biological sources. VOCs play a vital role in an organism’s metabolism during its growth, defense, and reproduction. The well-known 6-pentyl-
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1 Department of Biotechnology and Biochemistry, Center for Research and Advanced Studies (CINVESTAV), Irapuato 36824, Mexico; UGA-Langebio, Center for Research and Advanced Studies (CINVESTAV) Irapuato, Km. 9.6 Libramiento Norte Carr. Irapuato-León, Irapuato 36824, Mexico
2 Department of Biotechnology and Biochemistry, Center for Research and Advanced Studies (CINVESTAV), Irapuato 36824, Mexico; UGA-Langebio, Center for Research and Advanced Studies (CINVESTAV) Irapuato, Km. 9.6 Libramiento Norte Carr. Irapuato-León, Irapuato 36824, Mexico; Department of Biochemical Engineering, Nacional Technological Institute, Celaya 38010, Mexico
3 Department of Biotechnology and Biochemistry, Center for Research and Advanced Studies (CINVESTAV), Irapuato 36824, Mexico