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Keywords = special functions associated with root systems

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24 pages, 13711 KB  
Article
Characterization of LBD Genes in Cymbidium ensifolium with Roles in Floral Development and Fragrance
by Yukun Peng, Suying Zhan, Feihong Tang, Yuqing Zhao, Haiyan Wu, Xiangwen Li, Ruiliu Huang, Qiuli Su, Long-Hai Zou, Kai Zhao, Zhong-Jian Liu and Yuzhen Zhou
Horticulturae 2025, 11(2), 117; https://doi.org/10.3390/horticulturae11020117 - 22 Jan 2025
Viewed by 1427
Abstract
LBD transcription factors are critical regulators of plant growth and development. Recent studies highlighted their significant role in the transcriptional regulation of plant growth and metabolism. Thus, identifying the CeLBD gene in Cymbidium ensifolium, a species abundant in floral scent metabolites, could [...] Read more.
LBD transcription factors are critical regulators of plant growth and development. Recent studies highlighted their significant role in the transcriptional regulation of plant growth and metabolism. Thus, identifying the CeLBD gene in Cymbidium ensifolium, a species abundant in floral scent metabolites, could provide deeper insights into its functional significance. A total of 34 LBD genes were identified in C. ensifolium. These CeLBDs fell into two major groups: Class I and Class II. The Class I group contained 30 genes, while the Class II group included only 4 genes. Among the 30 Class I genes, several genes in the Ie branch exhibited structural variations or partial deletions (CeLBD20 and CeLBD21) in the coiled-coil motif (LX6LX3LX6L). These changes may contribute to the difficulty in root hair formation in C. ensifolium. The variations may prevent normal transcription, leading to low or absent expression, which may explain the fleshy and corona-like root system of C. ensifolium without prominent lateral roots. The expansion for CeLBDs was largely due to special WGD events in orchids during evolution, or by segmental duplication and tandem duplication. CeLBDs in different branches exhibit similar functions and expression characteristics. Promoter analysis enriched environmental response elements, such as AP2/ERF, potentially mediating the specific expression of CeLBDs under different stresses. CeLBDs were predicted to interact with multiple transcription factors or ribosomal proteins, forming complex regulatory networks. CeLBD20 was localized in the cytoplasm, it may act as a signaling factor to activate other transcription factors. CeLBD6 in Class II was significantly up-regulated under cold, drought, and ABA treatments, suggesting its role in environmental responses. Furthermore, metabolic correlation analysis revealed that its expression was associated with the release of major aromatic compounds, such as MeJA. These findings offer valuable insights for further functional studies of CeLBD genes in C. ensifolium. Full article
(This article belongs to the Special Issue Orchids: Advances in Propagation, Cultivation and Breeding)
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11 pages, 779 KB  
Article
The Fractional Dunkl Laplacian: Definition and Harmonization via the Mellin Transform
by Fethi Bouzeffour
Mathematics 2023, 11(22), 4668; https://doi.org/10.3390/math11224668 - 16 Nov 2023
Viewed by 1702
Abstract
In this paper, we extend the scope of the Tate and Ormerod Lemmas to the Dunkl setting, revealing a profound interconnection that intricately links the Dunkl transform and the Mellin transform. This illumination underscores the pivotal significance of the Mellin integral transform in [...] Read more.
In this paper, we extend the scope of the Tate and Ormerod Lemmas to the Dunkl setting, revealing a profound interconnection that intricately links the Dunkl transform and the Mellin transform. This illumination underscores the pivotal significance of the Mellin integral transform in the realm of fractional calculus associated with differential-difference operators. Our primary focus centers on the Dunkl–Laplace operator, which serves as a prototype of a differential-difference second-order operator within an unbounded domain. Following influential research by Pagnini and Runfola, we embark on an innovative exploration employing Bochner subordination approaches tailored for the fractional Dunkl Laplacian (FDL). Notably, the Mellin transform emerges as a robust and enlightening tool, particularly in its application to the FDL. Full article
(This article belongs to the Special Issue Fractional Calculus and Mathematical Applications, 2nd Edition)
15 pages, 3123 KB  
Article
Core Endophytic Bacteria and Their Roles in the Coralloid Roots of Cultivated Cycas revoluta (Cycadaceae)
by Jiating Liu, Haiyan Xu, Zhaochun Wang, Jian Liu and Xun Gong
Microorganisms 2023, 11(9), 2364; https://doi.org/10.3390/microorganisms11092364 - 21 Sep 2023
Cited by 10 | Viewed by 2885
Abstract
As a gymnosperm group, cycads are known for their ancient origin and specialized coralloid root, which can be used as an ideal system to explore the interaction between host and associated microorganisms. Previous studies have revealed that some nitrogen-fixing cyanobacteria contribute greatly to [...] Read more.
As a gymnosperm group, cycads are known for their ancient origin and specialized coralloid root, which can be used as an ideal system to explore the interaction between host and associated microorganisms. Previous studies have revealed that some nitrogen-fixing cyanobacteria contribute greatly to the composition of the endophytic microorganisms in cycad coralloid roots. However, the roles of host and environment in shaping the composition of endophytic bacteria during the recruitment process remain unclear. Here, we determined the diversity, composition, and function prediction of endophytic bacteria from the coralloid roots of a widely cultivated cycad, Cycas revoluta Thunb. Using next-generation sequencing techniques, we comprehensively investigated the diversity and community structure of the bacteria in coralloid roots and bulk soils sampled from 11 sites in China, aiming to explore the variations in core endophytic bacteria and to predict their potential functions. We found a higher microbe diversity in bulk soils than in coralloid roots. Meanwhile, there was no significant difference in the diversity and composition of endophytic bacteria across different localities, and the same result was found after removing cyanobacteria. Desmonostoc was the most dominant in coralloid roots, followed by Nostoc, yet these two cyanobacteria were not shared by all samples. Rhodococcus, Edaphobacter, Niastella, Nordella, SH-PL14, and Virgisporangium were defined as the core microorganisms in coralloid roots. A function prediction analysis revealed that endophytic bacteria majorly participated in the plant uptake of phosphorus and metal ions and in disease resistance. These results indicate that the community composition of the bacteria in coralloid roots is affected by both the host and environment, in which the host is more decisive. Despite the very small proportion of core microbes, their interactions are significant and likely contribute to functions related to host survival. Our study contributes to an understanding of microbial diversity and composition in cycads, and it expands the knowledge on the association between hosts and symbiotic microbes. Full article
(This article belongs to the Special Issue Plant-Microbe Interaction State-of-the-Art Research in China)
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16 pages, 1467 KB  
Review
MYB Transcription Factors Becoming Mainstream in Plant Roots
by Zhuo Chen, Zexuan Wu, Wenyu Dong, Shiying Liu, Lulu Tian, Jiana Li and Hai Du
Int. J. Mol. Sci. 2022, 23(16), 9262; https://doi.org/10.3390/ijms23169262 - 17 Aug 2022
Cited by 31 | Viewed by 5786
Abstract
The function of the root system is crucial for plant survival, such as anchoring plants, absorbing nutrients and water from the soil, and adapting to stress. MYB transcription factors constitute one of the largest transcription factor families in plant genomes with structural and [...] Read more.
The function of the root system is crucial for plant survival, such as anchoring plants, absorbing nutrients and water from the soil, and adapting to stress. MYB transcription factors constitute one of the largest transcription factor families in plant genomes with structural and functional diversifications. Members of this superfamily in plant development and cell differentiation, specialized metabolism, and biotic and abiotic stress processes are widely recognized, but their roles in plant roots are still not well characterized. Recent advances in functional studies remind us that MYB genes may have potentially key roles in roots. In this review, the current knowledge about the functions of MYB genes in roots was summarized, including promoting cell differentiation, regulating cell division through cell cycle, response to biotic and abiotic stresses (e.g., drought, salt stress, nutrient stress, light, gravity, and fungi), and mediate phytohormone signals. MYB genes from the same subfamily tend to regulate similar biological processes in roots in redundant but precise ways. Given their increasing known functions and wide expression profiles in roots, MYB genes are proposed as key components of the gene regulatory networks associated with distinct biological processes in roots. Further functional studies of MYB genes will provide an important basis for root regulatory mechanisms, enabling a more inclusive green revolution and sustainable agriculture to face the constant changes in climate and environmental conditions. Full article
(This article belongs to the Special Issue Molecular Genetics and Plant Breeding 2.0)
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10 pages, 998 KB  
Article
A Configurable IP Core for Calculating the Integer Square Root for Serial and Parallel Implementations in FPGA
by Vladimir Matyukha, Sergey Voloshchuk and Sergey Mosin
Electronics 2022, 11(15), 2335; https://doi.org/10.3390/electronics11152335 - 27 Jul 2022
Cited by 3 | Viewed by 2929
Abstract
The development of digital technologies is in many ways associated with an improvement of integrated technologies, microelectronic components, and the capabilities of hardware acceleration of the most computationally complex operations. Field-programmable gate arrays (FPGAs) are actively used for prototyping or the small-scale production [...] Read more.
The development of digital technologies is in many ways associated with an improvement of integrated technologies, microelectronic components, and the capabilities of hardware acceleration of the most computationally complex operations. Field-programmable gate arrays (FPGAs) are actively used for prototyping or the small-scale production of special purpose digital signal processing (DSP) devices. The implementation of DSP algorithms is variative in nature and affects important indicators of a produced device, such as the accuracy of the numerical solution, performance, structural/functional complexity, etc. The architectural features of the FPGA can be used for choosing an effective DSP algorithm in the form of solving the multicriteria discrete optimization problem. This paper analyzes and selects an effective algorithm for calculating the integer square root, which is one of the most frequently used digital signal processing operations. A behavioral model based on a non-restoring algorithm is presented. The SystemVerilog description of the module for calculating the square root, presented in the form of a universal configurable IP core, has been developed and synthesized. The configuration allows one to change the width of the input data bus and select the serial or parallel processing mode for scalar or vector data. The results of testing and comparison of the obtained characteristics with the corresponding Xilinx Cordic IP core are presented. The field test of the proposed IP core implemented in the Xilinx FPGA SOC xc7z045ffg900-2 has demonstrated the gain in the maximum system frequency at 174 MHz in the sequential mode with a 48-bit input bus and 169 MHz in the pipelined mode at a reduction of both the structural complexity and the number of used FPGA internal resources in comparison with the Xilinx Cordic IP core. Full article
(This article belongs to the Special Issue Digital Hardware Architectures: Systems and Applications)
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28 pages, 303 KB  
Review
Theoretical Foundations and Mathematical Formalism of the Power-Law Tailed Statistical Distributions
by Giorgio Kaniadakis
Entropy 2013, 15(10), 3983-4010; https://doi.org/10.3390/e15103983 - 25 Sep 2013
Cited by 97 | Viewed by 10725
Abstract
We present the main features of the mathematical theory generated by the κ-deformed exponential function exp k (x) = ( 1 + k 2 x 2 + kx) 1 k , with 0 κ < 1, developed [...] Read more.
We present the main features of the mathematical theory generated by the κ-deformed exponential function exp k (x) = ( 1 + k 2 x 2 + kx) 1 k , with 0 κ < 1, developed in the last twelve years, which turns out to be a continuous one parameter deformation of the ordinary mathematics generated by the Euler exponential function. The κ-mathematics has its roots in special relativity and furnishes the theoretical foundations of the κ-statistical mechanics predicting power law tailed statistical distributions, which have been observed experimentally in many physical, natural and artificial systems. After introducing the κ-algebra, we present the associated κ-differential and κ-integral calculus. Then, we obtain the corresponding κ-exponential and κ-logarithm functions and give the κ-version of the main functions of the ordinary mathematics. Full article
(This article belongs to the Collection Advances in Applied Statistical Mechanics)
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83 pages, 1519 KB  
Review
Response of Mycorrhizal Diversity to Current Climatic Changes
by Stanley E. Bellgard and Stephen E. Williams
Diversity 2011, 3(1), 8-90; https://doi.org/10.3390/d3010008 - 28 Jan 2011
Cited by 42 | Viewed by 18481
Abstract
Form and function of mycorrhizas as well as tracing the presence of the mycorrhizal fungi through the geological time scale are herein first addressed. Then mycorrhizas and plant fitness, succession, mycorrhizas and ecosystem function, and mycorrhizal resiliency are introduced. From this, four hypotheses [...] Read more.
Form and function of mycorrhizas as well as tracing the presence of the mycorrhizal fungi through the geological time scale are herein first addressed. Then mycorrhizas and plant fitness, succession, mycorrhizas and ecosystem function, and mycorrhizal resiliency are introduced. From this, four hypotheses are drawn: (1) mycorrhizal diversity evolved in response to changes in Global Climate Change (GCC) environmental drivers, (2) mycorrhizal diversity will be modified by present changes in GCC environmental drivers, (3) mycorrhizal changes in response to ecological drivers of GCC will in turn modify plant, community, and ecosystem responses to the same, and (4) Mycorrhizas will continue to evolve in response to present and future changes in GCC factors. The drivers of climate change examined here are: CO2 enrichment, temperature rise, altered precipitation, increased N-deposition, habitat fragmentation, and biotic invasion increase. These impact the soil-rhizosphere, plant and fungal physiology and/or ecosystem(s) directly and indirectly. Direct effects include changes in resource availability and change in distribution of mycorrhizas. Indirect effects include changes in below ground allocation of C to roots and changes in plant species distribution. GCC ecological drivers have been partitioned into four putative time frames: (1) Immediate (1–2 years) impacts, associated with ecosystem fragmentation and habitat loss realized through loss of plant-hosts and disturbance of the soil; (2) Short-term (3–10 year) impacts, resultant of biotic invasions of exotic mycorrhizal fungi, plants and pests, diseases and other abiotic perturbations; (3) Intermediate-term (11–20 year) impacts, of cumulative and additive effects of increased N (and S) deposition, soil acidification and other pollutants; and (4) Long-term (21–50+ year) impacts, where increased temperatures and CO2 will destabilize global rainfall patterns, soil properties and plant ecosystem resilience. Due to dependence on their host for C-supply, orchid mycorrhizas and all heterotrophic mycorrhizal groups will be immediately impacted through loss of habitat and plant-hosts. Ectomycorrhizal (ECM) associations will be the principal group subject to short-term impacts, along with Ericoid mycorrhizas occurring in high altitude or high latitude ecosystems. This is due to susceptibility (low buffer capacity of soils) of many of the ECM systems and that GCC is accentuated at high latitudes and altitudes. Vulnerable mycorrhizal types subject to intermediate-term GCC changes include highly specialized ECM species associated with forest ecosystems and finally arbuscular mycorrhizas (AM) associated with grassland ecosystems. Although the soils of grasslands are generally well buffered, the soils of arid lands are highly buffered and will resist even fairly long term GCC impacts, and thus these arid, largely AM systems will be the least affect by GCC. Once there are major perturbations to the global hydrological cycle that change rainfall patterns and seasonal distributions, no aspect of the global mycorrhizal diversity will remain unaffected. Full article
(This article belongs to the Special Issue Genetic and Functional Diversity of Microorganisms)
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