scholarly journals A Symmetric Group Method for Controllability Characterization of Bilinear Systems on the Special Euclidean Group

2019 ◽  
Vol 52 (16) ◽  
pp. 412-417
Author(s):  
Wei Zhang ◽  
Shin Li
Keyword(s):  
Symmetric Group ◽  
Bilinear Systems ◽  
Group Method ◽  
Euclidean Group ◽  
Special Euclidean Group

Characterization of equilibrium sets for bilinear systems with feedback control

Automatica ◽  
1983 ◽  
Vol 19 (2) ◽  
pp. 183-189 ◽  
Author(s):  
A. Benallou ◽  
D.A. Mellichamp ◽  
D.E. Seborg
Keyword(s):  
Feedback Control ◽  
Bilinear Systems

scholarly journals Polynomial Invariants of the Euclidean Group Action on Multiple Screws

2021 ◽  
Author(s):  
◽  
Deborah Crook
Keyword(s):  
Group Action ◽  
Three Dimensions ◽  
Euclidean Group ◽  
Polynomial Invariants ◽  
Generating Sets ◽  
Special Euclidean Group ◽  
The One

<p>In this work, we examine the polynomial invariants of the special Euclidean group in three dimensions, SE(3), in its action on multiple screw systems. We look at the problem of finding generating sets for these invariant subalgebras, and also briefly describe the invariants for the standard actions on R^n of both SE(3) and SO(3). The problem of the screw system action is then approached using SAGBI basis techniques, which are used to find invariants for the translational subaction of SE(3), including a full basis in the one and two-screw cases. These are then compared to the known invariants of the rotational subaction. In the one and two-screw cases, we successfully derive a full basis for the SE(3) invariants, while in the three-screw case, we suggest some possible lines of approach.</p>

Characterization of Pyrenophora tritici-repentis in Tunisia and Comparison with a Global Pathogen Population

Plant Disease ◽  
2021 ◽  
Author(s):  
Marwa Laribi ◽  
Alireza Akhavan ◽  
Sarrah M'Barek ◽  
Amor Yahyaoui ◽  
Stephen Ernest Strelkov ◽  
...  
Keyword(s):  
Genetic Diversity ◽  
Geographic Origin ◽  
Tan Spot ◽  
Pcr Analysis ◽  
Group Method ◽  
Region Of Origin ◽  
Pyrenophora Tritici Repentis ◽  
Pair Group ◽  
Necrotrophic Effector

Pyrenophora tritici-repentis (Ptr) causes tan spot, an important foliar disease of wheat. A collection of Ptr isolates from Tunisia, located in one of the main secondary centers of diversification of durum wheat, was tested for phenotypic race classification based on virulence on a host differential set, and for the presence of the necrotrophic effector (NE) genes ToxA, ToxB , and toxb by PCR analysis. While races 2, 4, 5, 6, 7, and 8 were identified according to their virulence phenotypes, PCR testing indicated the presence of ‘atypical’ isolates that induced necrosis on the wheat differential ‘Glenlea’, but lacked the expected ToxA gene, suggesting the involvement of other NEs in the Ptr/wheat interaction. Genetic diversity and the Ptr population structure were explored further by examining 59 Tunisian isolates and 35 isolates from Algeria, Azerbaijan, Canada, Iran, and Syria using 24 simple sequence repeat markers. Average genetic diversity, overall gene flow and percentage polymorphic loci were estimated as 0.58, 2.09 and 87%, respectively. Analysis of molecular variance showed that 81% of the genetic variance occurred within populations and 19% between populations. Cluster analysis by the unweighted pair group method indicated that ToxB- isolates grouped together and were distantly related to ToxB+ isolates. Based on Nei’s analysis, the global collection clustered into two distinct groups according to their region of origin. The results suggest that both geographic origin and the host-specificity imposed by different NEs can lead to differentiation among Ptr populations.

Molecular Diversity Analysis of Lentil (Lens culinaris Medik.) through RAPD Markers

2012 ◽  
Vol 22 (1) ◽  
pp. 51-58 ◽  
Author(s):  
M.E. Hoque ◽  
M.M. Hasan
Keyword(s):  
Genetic Distance ◽  
Rapd Markers ◽  
Gene Diversity ◽  
Random Amplified Polymorphic Dna ◽  
Molecular Genetic ◽  
Group Method ◽  
Diversity Analysis ◽  
Pair Group ◽  
Molecular Genetic Diversity

Random Amplified Polymorphic DNA (RAPD) markers were used to study the molecular genetic diversity analysis among six BARI released lentil varieties viz. BARI masur-1, BARI masur-2, BARI masur-3, BARI masur-4, BARI masur-5 and BARI masur-6. PCR amplified products were visualized on 1.0% agarose gel and the band for each primer were scored. Ten RAPD markers were used in this study. Out of them 7 primers showed amplification of 53 DNA fragments with 60.37% of them being polymorphic. The highest number of polymorphic loci was noticed in the variety BARI masur-3. The same variety also showed maximum Nei’s gene diversity value (0.0552). The highest Nei’s genetic distance (0.5002) was observed in BARI masur-1 vs. BARI masur-5 whereas, the lowest genetic distance (0.0692) was found in BARI masur-1 vs. BARI masur-2. The unweighted pair group method of arithmetic mean (UPGMA) dendrogram based on Nei’s genetic distance grouped the six cultivars into two main clusters. BARI masur-1, BARI masur-2 and BARI masur-3 were in cluster I and BARI masur-4, BARI masur-5 and BARI masur-6 were in cluster II. The cultivar BARI masur-4 was closest to the cultivar BARI masur-6 with the lowest genetic distance (0.0972) and the highest genetic distance (0.5002) was found between BARI masur-1 and BARI masur-5. The RAPD markers were found to be useful in molecular characterization of lentil varieties which could be utilized by the breeders for the improvement of lentil cultivars. DOI: http://dx.doi.org/10.3329/ptcb.v22i1.11260 Plant Tissue Cult. & Biotech. 22(1): 51-58, 2012 (June)

scholarly journals Molecular Characterization of 12 Mango Germplasm Using RAPD markers

2010 ◽  
Vol 20 (1) ◽  
pp. 91-99
Author(s):  
R. C. Jena ◽  
K. C. Samal ◽  
P. K. Chand ◽  
B. K. Das
Keyword(s):  
Molecular Characterization ◽  
Rapd Markers ◽  
Mangifera Indica ◽  
Pcr Amplification ◽  
Similarity Coefficient ◽  
Group Method ◽  
Base Pairs ◽  
Relationship Analysis ◽  
Pair Group

Randomly amplified polymorphic DNA (RAPD) markers were used for the genetic variation and relationship analysis among 12 Mango (Mangifera indica L.) germplasm. Five oligonucleotide primers were employed to amplify DNA from 12 cultivars. PCR amplification with five primers generated 45 reproducible, clear and distinct bands, out of which 41 bands are considered polymorphic and the remaining four fragments (8.88%)  monomorphic. The size of amplified product ranged from 200 (RPI-5) to 3000 base pairs (RPI-1) with an average of nine bands per primer. The average polymorphism in all the 12 cultivars using the five primers was found to be 91.91%. Among all the primers RPI-2 and RPI-4 have shown 100% polymorphism while RPI-5 was found to be least polymorphism (81.81%). One specific band, namely was found with RPI-5, in a particular variety, Chiratpuri. The UPGMA (Unweighted Pair Group Method of Arithmetic Mean) dendrogram based on Jaccard’s similarity coefficient segregated the 12 mango germplasm into two clusters. Langra, Chiratpuri, Pravasankar, Alphanso, Sindhu and Kesar formed one cluster and rest six mango germplasm grouped together into another cluster. Sindhu and Alphanso cultivar pair was very close to each other with highest similarity coefficient (0.78), which was comparatively higher than all other cultivar pairs. On the other hand, Pravasankar and Neelam cultivar pair was more distinct to each other with the lowest intervarietal similarity coefficient 0.38. This study showed clearly that cultivars from Orissa unveiled maximum diversity and indicated the potential of RAPD markers for the identification of management of mango germplasm for breeding purposes.  Key words: Molecular characterization, Mango germplasm, Dversity  D.O.I. 10.3329/ptcb.v20i1.5972 Plant Tissue Cult. & Biotech. 20(1): 91-99, 2010 (June)

scholarly journals Multiple-Locus Variable-Number Tandem Repeat Analysis Reveals Genetic Relationships within Bacillus anthracis

2000 ◽  
Vol 182 (10) ◽  
pp. 2928-2936 ◽  
Author(s):  
P. Keim ◽  
L. B. Price ◽  
A. M. Klevytska ◽  
K. L. Smith ◽  
J. M. Schupp ◽  
...  
Keyword(s):  
Bacillus Anthracis ◽  
Tandem Repeat ◽  
Genetic Relationships ◽  
Variable Number Tandem Repeat ◽  
Variable Number ◽  
Group Method ◽  
Multiple Alleles ◽  
Multiple Locus ◽  
Sequence Characterization

ABSTRACT Bacillus anthracis is one of the most genetically homogeneous pathogens described, making strain discrimination particularly difficult. In this paper, we present a novel molecular typing system based on rapidly evolving variable-number tandem repeat (VNTR) loci. Multiple-locus VNTR analysis (MLVA) uses the combined power of multiple alleles at several marker loci. In our system, fluorescently labeled PCR primers are used to produce PCR amplification products from eight VNTR regions in the B. anthracisgenome. These are detected and their sizes are determined using an ABI377 automated DNA sequencer. Five of these eight loci were discovered by sequence characterization of molecular markers (vrrC 1, vrrC 2,vrrB 1, vrrB 2, and CG3), two were discovered by searching complete plasmid nucleotide sequences (pXO1-aat and pXO2-at), and one was known previously (vrrA). MLVA characterization of 426 B. anthracis isolates identified 89 distinct genotypes. VNTR markers frequently identified multiple alleles (from two to nine), with Nei's diversity values between 0.3 and 0.8. Unweighted pair-group method arithmetic average cluster analysis identified six genetically distinct groups that appear to be derived from clones. Some of these clones show worldwide distribution, while others are restricted to particular geographic regions. Human commerce doubtlessly has contributed to the dispersal of particular clones in ancient and modern times.

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