18 results on '"Kratou M"'
Search Results
2. Multiplicity Results for the Biharmonic Equation with Singular Nonlinearity of Super Exponential Growth in ℝ4
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Saoudi, K., Kratou, M., and Al Zahrani, E.
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- 2019
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3. Nonlocal ▫$p$▫-Kirchhoff equations with singular and critical nonlinearity terms
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Ghanmi, A., Kratou, M., Saoudi, K., and Repovš, D. D.
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udc:517.9 ,Kirchhoff problem, nonlocal operator, variational methods, singular nonlinearity, multiplicity results ,Mathematics - Analysis of PDEs ,General Mathematics ,FOS: Mathematics ,variational methods ,multiplicity results ,udc:517.956 ,Kirchhoff problem ,34B15, 37C25, 35R20 ,Analysis of PDEs (math.AP) ,nonlocal operator ,singular nonlinearity - Abstract
The objective of this work is to investigate a nonlocal problem involving singular and critical nonlinearities: ▫$$\begin{cases} ([u]_{s,p}^p)^{\sigma-1}(-\Delta)^s_p u = \frac{\lambda}{u^{\gamma}}+u^{ p_s^{*}-1} & \quad \text{in }\Omega,\\ u>0, & \quad \text{in }\Omega,\\ u=0, & \quad \text{in }\mathbb{R}^{N}\setminus \Omega, \end{cases}$$▫ where ▫$\Omega$▫ is a bounded domain in ▫$\mathbb{R}^N$▫ with the smooth boundary ▫$\partial \Omega$▫, ▫$0 < s< 1 sp$, $1
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- 2022
4. Least energy sign-changing solution to a fractional $p$-Laplacian problem involving singularities
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Ghosh, S., primary, Saoudi, K., additional, Kratou, M., additional, and Choudhuri, D., additional
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- 2020
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5. A multiplicity results for a singular problem involving a Riemann-Liouville fractional derivative
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Ghanmi, A., primary, Kratou, M., additional, and Saoudi, K., additional
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- 2018
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6. Multiplicity Results for the px-Laplacian Equation with Singular Nonlinearities and Nonlinear Neumann Boundary Condition
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Saoudi, K., Kratou, M., and Alsadhan, S.
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Article Subject ,lcsh:Mathematics ,lcsh:QA1-939 - Abstract
We investigate the singular Neumann problem involving the $p(x)$ -Laplace operator: $({P}_{\lambda })\{-{\mathrm{\Delta }}_{p(x)}u+|u{|}^{p(x)-\mathrm{2}}u$ $=\mathrm{1}/{u}^{\delta (x)}+f(x,u)$ , in $\mathrm{\Omega }; u>\mathrm{0}, \text{in} \mathrm{\Omega }; {|\nabla u|}^{p(x)-\mathrm{2}}\partial u/\partial \nu =\lambda {u}^{q(x)}, \text{on} \partial \mathrm{\Omega }\}$ , where $\mathrm{\Omega }\subset {\mathbb{R}}^{N}(N\ge \mathrm{2})$ is a bounded domain with ${C}^{\mathrm{2}}$ boundary, $\lambda $ is a positive parameter, and $p(x),$ $q(x),$ $\delta (x)$ , and $f(x,u)$ are assumed to satisfy assumptions (H0)–(H5) in the Introduction. Using some variational techniques, we show the existence of a number $\mathrm{\Lambda }\in (\mathrm{0},\mathrm{\infty })$ such that problem $({P}_{\lambda })$ has two solutions for $\lambda \in (\mathrm{0},\mathrm{\Lambda }),$ one solution for $\lambda =\mathrm{\Lambda }$ , and no solutions for $\lambda >\mathrm{\Lambda }$ .
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- 2016
7. Multiplicity Results for the Biharmonic Equation with Singular Nonlinearity of Super Exponential Growth in ℝ4.
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Saoudi, K., Kratou, M., and Al Zahrani, E.
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EXPONENTIAL functions , *MULTIPLICITY (Mathematics) , *BIHARMONIC equations - Abstract
We consider the following elliptic problem of exponential-type growth posed in an open bounded domain with smooth boundary B1 (0) ⊂ ℝ4: (P λ) { Δ 2 u = λ (u − δ + h (u) e u α ) , u > 0 i n B 1 (0) , u = Δ u = 0 , o n ∂ B 1 (0). Here Δ2(.):= −Δ(−Δ)(.) denotes the biharmonic operator, 1 < α < 2, 0 < δ < 1, λ > 0, and h(t) is assumed to be a smooth "perturbation" of e t α as t→∞ (see (H1)–(H4) below). We employ variational methods in order to show the existence of at least two distinct (positive) solutions to the problem (Pλ) in H 2 ∩ H 0 1 (B 1 (0)) . [ABSTRACT FROM AUTHOR]
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- 2019
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8. Multiplicity Results for the Biharmonic Equation with Singular Nonlinearity of Super Exponential Growth in ℝ4.
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Saoudi, K., Kratou, M., and Al Zahrani, E.
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EXPONENTIAL functions ,MULTIPLICITY (Mathematics) ,BIHARMONIC equations - Abstract
We consider the following elliptic problem of exponential-type growth posed in an open bounded domain with smooth boundary B
1 (0) ⊂ ℝ4 : (P λ) { Δ 2 u = λ (u − δ + h (u) e u α ) , u > 0 i n B 1 (0) , u = Δ u = 0 , o n ∂ B 1 (0). Here Δ2 (.):= −Δ(−Δ)(.) denotes the biharmonic operator, 1 < α < 2, 0 < δ < 1, λ > 0, and h(t) is assumed to be a smooth "perturbation" of e t α as t→∞ (see (H1)–(H4) below). We employ variational methods in order to show the existence of at least two distinct (positive) solutions to the problem (Pλ ) in H 2 ∩ H 0 1 (B 1 (0)) . [ABSTRACT FROM AUTHOR]- Published
- 2019
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9. Multiplicity Results for thepx-Laplacian Equation with Singular Nonlinearities and Nonlinear Neumann Boundary Condition
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Saoudi, K., primary, Kratou, M., additional, and Alsadhan, S., additional
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- 2016
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10. Existence of multiple solutions for a singular and quasilinear equation
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Saoudi, K., primary and Kratou, M., additional
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- 2014
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11. More general constructions of wavelets on the interval
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Bibi, Hatem, Jouini, Abdellatif, Kratou, M., Centre d'économie de la Sorbonne (CES), Centre National de la Recherche Scientifique (CNRS)-Université Panthéon-Sorbonne (UP1), Statistique Appliquée et MOdélisation Stochastique (SAMOS), Université Panthéon-Sorbonne (UP1), Département de mathématiques [Tunis], Faculté des Sciences de Tunis, Université Paris 1 Panthéon-Sorbonne (UP1)-Centre National de la Recherche Scientifique (CNRS), Université Paris 1 Panthéon-Sorbonne (UP1), Faculté des Sciences Mathématiques, Physiques et Naturelles de Tunis (FST), and Université de Tunis El Manar (UTM)-Université de Tunis El Manar (UTM)
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Mathematics::Functional Analysis ,wavelet ,Sobolev space ,[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] ,multiresolution analysis - Abstract
Accessible en ligne : http://www.commun-math-anal.org/vv4.htm; International audience; In this paper we present general constructions of orthogonal and biorthogonal multiresolution analysis on the interval. In the first one, we describe a direct method to define an orthonormal multiresolution analysis. In the second one, we use the integration and derivation method for constructing a biorthogonal multiresolution analysis. As applications, we prove that these analyses are adapted to study regular functions on the interval.
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- 2008
12. Existence of multiple solutions for a singular and quasilinear equation.
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Saoudi, K. and Kratou, M.
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QUASILINEARIZATION , *MATHEMATICAL singularities , *EXISTENCE theorems , *ELLIPTIC equations , *NONLINEAR equations , *LAPLACIAN matrices - Abstract
In this paper, we study the following singular elliptic problem:wherebe a bounded smooth domain,denotes the-Laplace operator,is a parameter andis a constant. We requireto satisfy assumptions (g1)–(g2) andto satisfy assumptions (h1)–(h4) in Section 1. We employ variational methods in order to show the existence ofsuch thatadmits at least two solutions for allone solution forand no solution for all [ABSTRACT FROM AUTHOR]
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- 2015
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13. Disruption of bacterial interactions and community assembly in Babesia-infected Haemaphysalis longicornis following antibiotic treatment.
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Kratou M, Maitre A, Abuin-Denis L, Piloto-Sardiñas E, Corona-Guerrero I, Cano-Argüelles AL, Wu-Chuang A, Bamgbose T, Almazan C, Mosqueda J, Obregón D, Mateos-Hernández L, Said MB, and Cabezas-Cruz A
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- Animals, Babesia drug effects, Babesia genetics, Microbial Interactions drug effects, Babesiosis parasitology, Babesiosis transmission, Babesiosis drug therapy, Babesia microti drug effects, Babesia microti genetics, Haemaphysalis longicornis, Anti-Bacterial Agents pharmacology, Ixodidae microbiology, Ixodidae drug effects, Ixodidae parasitology, Microbiota drug effects, Bacteria drug effects, Bacteria genetics, Bacteria isolation & purification, Bacteria classification
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Background: A previous study highlighted the role of antibiotic-induced dysbiosis in the tick microbiota, facilitating the transstadial transmission of Babesia microti from nymph to adult in Haemaphysalis longicornis. This study builds on previous findings by analyzing sequence data from an earlier study to investigate bacterial interactions that could be linked to enhanced transstadial transmission of Babesia in ticks. The study employed antibiotic-treated (AT) and control-treated (CT) Haemaphysalis longicornis ticks to investigate shifts in microbial community assembly. Network analysis techniques were utilized to assess bacterial interactions, comparing network centrality measures between AT and CT groups, alongside studying network robustness and connectivity loss. Additionally, functional profiling was conducted to evaluate metabolic diversity in response to antibiotic treatment., Results: The analysis revealed notable changes in microbial community assembly in response to antibiotic treatment. Antibiotic-treated (AT) ticks displayed a greater number of connected nodes but fewer correlations compared to control-treated (CT) ticks, indicating a less interactive yet more connected microbial community. Network centrality measures such as degree, betweenness, closeness, and eigenvector centrality, differed significantly between AT and CT groups, suggesting alterations in local network dynamics due to antibiotic intervention. Coxiella and Acinetobacter exhibited disrupted connectivity and roles, with the former showing reduced interactions in AT group and the latter displaying a loss of connected nodes, emphasizing their crucial roles in microbial network stability. Robustness tests against node removal showed decreased stability in AT networks, particularly under directed attacks, confirming a susceptibility of the microbial community to disturbances. Functional profile analysis further indicated a higher diversity and richness in metabolic capabilities in the AT group, reflecting potential shifts in microbial metabolism as a consequence of antimicrobial treatment., Conclusions: Our findings support that bacterial interaction traits boosting the transstadial transmission of Babesia could be associated with reduced colonization resistance. The disrupted microbial interactions and decreased network robustness in AT ticks suggest critical vulnerabilities that could be targeted for managing tick-borne diseases., (© 2024. The Author(s).)
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- 2024
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14. Differential interactions of Rickettsia species with tick microbiota in Rh. sanguineus and Rh. turanicus.
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Maitre A, Kratou M, Corona-Guerrero I, Abuin-Denis L, Mateos-Hernández L, Mosqueda J, Almazan C, Said MB, Piloto-Sardiñas E, Obregon D, and Cabezas-Cruz A
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- Animals, Rhipicephalus sanguineus microbiology, Rickettsia Infections microbiology, Rickettsia Infections transmission, Tick-Borne Diseases microbiology, Tick-Borne Diseases transmission, Ticks microbiology, Rickettsia physiology, Microbiota
- Abstract
Tick-borne rickettsioses, caused by Gram-negative bacteria of the Rickettsia genus, pose a growing global threat, with various arthropod vectors contributing to their transmission. Understanding the complex interactions within tick microbiota, including the role of Rickettsia species, is crucial for elucidating the dynamics of rickettsial diseases. Here, we investigate the taxonomic profiles and co-occurrence networks of Rickettsia in Rh. sanguineus sensus lato (s.l.) and Rh. turanicus ticks, revealing significant differences in community composition and local connectivity of Rickettsia species. While the microbiota of both tick species share common taxa, distinct differences in relative abundance and network topology suggest unique ecological niches. Moreover, robustness analysis demonstrates varying resilience to perturbations, indicating different strategies for network organization. Our findings also highlight metabolic differences between tick species, suggesting potential implications for Rickettsia interactions. Overall, this study provides insights into the intricate microbial landscape within ticks, shedding light on the functional redundancy and metabolic pathways associated with Rickettsia, thus advancing our understanding of tick-borne diseases., (© 2024. The Author(s).)
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- 2024
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15. Functional redundancy and niche specialization in honeybee and Varroa microbiomes.
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Skičková Š, Kratou M, Svobodová K, Maitre A, Abuin-Denis L, Wu-Chuang A, Obregón D, Said MB, Majláthová V, Krejčí A, and Cabezas-Cruz A
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The honeybee (Apis mellifera) is a key pollinator critical to global agriculture, facing threats from various stressors, including the ectoparasitic Varroa mite (Varroa destructor). Previous studies have identified shared bacteria between Varroa mites and honeybees, yet it remains unclear if these bacteria assemble similarly in both species. This study builds on existing knowledge by investigating co-occurrence patterns in the microbiomes of both Varroa mites and honeybees, shedding light on potential interactions. Leveraging 16S rRNA datasets, we conducted co-occurrence network analyses, explored Core Association Networks (CAN) and assess network robustness. Comparative network analyses revealed structural differences between honeybee and mite microbiomes, along with shared core features and microbial motifs. The mite network exhibited lower robustness, suggesting less resistance to taxa extension compared to honeybees. Furthermore, analyses of predicted functional profiling and taxa contribution revealed that common central pathways in the metabolic networks have different taxa contributing to Varroa mites and honeybee microbiomes. The results show that while both microbial systems exhibit functional redundancy, in which different taxa contribute to the functional stability and resilience of the ecosystem, there is evidence for niche specialization resulting in unique contributions to specific pathways in each part of this host-parasite system. The specificity of taxa contribution to key pathways offers targeted approaches to Varroa microbiome management and preserving honeybee microbiome. Our findings provide valuable insights into microbial interactions, aiding farmers and beekeepers in maintaining healthy and resilient bee colonies amid increasing Varroa mite infestations., (© 2024. The Author(s), under exclusive licence to Springer Nature Switzerland AG.)
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- 2024
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16. Detection and genetic identification of Borrelia lusitaniae in questing Ixodes inopinatus tick from Tunisia.
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Selmi R, Abdi K, Belkahia H, Abdallah MB, Mamlouk A, Kratou M, Said MB, and Messadi L
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Background: Until now, there has been limited information on the prevalence and the phylogeny of Borrelia burgdorferi sensu lato in Ixodes ticks in Tunisia, particularly in Ixodes inopinatus ., Methods: The present study aimed to determine the prevalence and the phylogeny of B. burgdorferi s.l., in coexisted I. ricinus and I. inopinatus ticks collected from Northern Tunisia. One hundred questig ticks were collected during winter 2020 by tick-dragging method in Beja gouvernorate located in the north of Tunisia. Real-time PCR panel targeting B. burgdorferi s.l. 23S rRNA gene were performed. Positive DNA samples were subjected to conventional PCRs targeting 457 bp fragment of the Borrelia sp. flagellin ( fla ) gene using primers FlaF/FlaR. The identified Borrelia sp. isolate underwent partial sequence analysis to determine genospecies and evaluate their phylogenetic position., Results: The study revealed a prevalence rate of 28% (28/100) for B. burgdorferi sensu lato in the Ixodes ticks. The prevalence rates across tick species and genders did not show significant variations ( p > 0.05). Interestingly, the study underlines the coexistence of I. inopinatus and I. ricinus sharing the same geographic areas in Northern Tunisia. Furthermore, DNA of B. lusitaniae was detected in I. inopinatus ticks for the first time in Tunisia. Revealed B. lusitaniae bacterium is similar to previously identified strains in Mediterranean region, but distinct from those isolated exclusively from countries of Eastern and Central Europe, such as Serbia, Romania, and Poland. This study highlights the prevalence of B. burgdorferi s.l. in I. ricinus / I. inopinatus ticks, and reveals B. lusitaniae in I. inopinatus ticks for the first time in Tunisia., Conclusion: These findings suggest the involvement of I. inopinatus as a potential vector of this pathogenic genospeciess in Tunisia. This may help understanding the ecology of Ixodes ticks, the natural infection and the transmission dynamics of Borrelia species in this country., (© 2024 The Author(s).)
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- 2024
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17. Diversity and Phylogeny of Cattle Ixodid Ticks and Associated Spotted Fever Group Rickettsia spp. in Tunisia.
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Kratou M, Belkahia H, Selmi R, Andolsi R, Dhibi M, Mhadhbi M, Messadi L, and Ben Said M
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Tick-borne rickettsioses are mainly caused by obligate intracellular bacteria belonging to the spotted fever group (SFG) of the Rickettsia genus. So far, the causative agents of SFG rickettsioses have not been detected in cattle ticks from Tunisia. Therefore, the aim of this study was to investigate the diversity and phylogeny of ticks associated with cattle from northern Tunisia and their associated Rickettsia species. Adult ticks ( n = 338) were collected from cattle in northern Tunisia. The obtained ticks were identified as Hyalomma excavatum ( n = 129), Rhipicephalus sanguineus sensu lato ( n = 111), Hyalomma marginatum ( n = 84), Hyalomma scupense ( n = 12) and Hyalomma rufipes ( n = 2). After DNA extraction from the ticks, 83 PCR products based on the mitochondrial 16S rRNA gene were sequenced and a total of four genotypes for Rh. sanguineus s.l., two for Hy. marginatum and Hy. excavatum and only one for Hy. scupense and Hy. rufipes were recorded, with the occurrence of one, two and three novel genotypes, respectively, for Hy. marginatum , Hy. excavatum and Rh. sanguineus s.l. mitochondrial 16S rRNA partial sequences. The tick DNA was tested for the presence of Rickettsia spp. by using PCR measurements and sequencing targeting three different genes ( ompB , ompA and gltA ). Of the 338 analyzed ticks, 90 (26.6%), including 38 (34.2%) Rh. sanguineus s.l., 26 (20.1%) Hy. excavatum , 25 (29.8%) Hy. marginatum and one (50%) Hy. rufipes tick, were positive for Rickettsia spp. Based on 104 partial sequences of the three analyzed genes, the BLAST analysis and phylogenetic study showed the infection of Hy. excavatum , Hy. marginatum and Rh. sanguineus s.l. tick specimens with R. massiliae , R. aeschlimannii and R. sibirica subsp. mongolitimonae and one Hy. rufipes tick specimen with R. aeschlimannii . In addition, coinfection with R. massiliae and R. aeschlimannii was reported in one Hy. marginatum and one Rh. sanguineus s.l. tick specimen, while a coinfection with R. massiliae and R. sibirica subsp. mongolitimonae was recorded in one Rh. sanguineus s.l. tick specimen. In conclusion, our study reports, for the first time in Tunisia, the infection of cattle ticks belonging to Hyalomma and Rhipicephalus genera with zoonotic Rickettsia species belonging to the SFG group.
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- 2023
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18. Screening and Analysis of Anaplasma marginale Tunisian Isolates Reveal the Diversity of lipA Phylogeographic Marker and the Conservation of OmpA Protein Vaccine Candidate.
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Belkahia H, Ben Abdallah M, Andolsi R, Selmi R, Zamiti S, Kratou M, Mhadhbi M, Darghouth MA, Messadi L, and Ben Said M
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Bovine anaplasmosis caused by Anaplasma marginale is a disease responsible for serious animal health problems and great economic losses all over the world. Thereby, the identification of A. marginale isolates from various bioclimatic areas in each country, the phylogeographic analysis of these isolates based on the most informative markers, and the evaluation of the most promising candidate antigens are crucial steps in developing effective vaccines against a wide range of A. marginale strains. In order to contribute to this challenge, a total of 791 bovine samples from various bioclimatic areas of Tunisia were tested for the occurrence of A. marginale DNA through msp4 gene fragment amplification. Phylogeographic analysis was performed by using lipA and sucB gene analyses, and the genetic relationship with previously characterized A. marginale isolates and strains was analyzed by applying similarity comparison and phylogenetic analysis. To evaluate the conservation of OmpA protein vaccine candidate, almost complete ompA nucleotide sequences were also obtained from Tunisian isolates, and various bioinformatics software were used in order to analyze the physicochemical properties and the secondary and tertiary structures of their deduced proteins and to predict their immunodominant epitopes of B and T cells. A. marginale DNA was detected in 19 bovine samples (2.4%). Risk factor analysis shows that cattle derived from subhumid bioclimatic area were more infected than those that originated from other areas. The analysis of lipA phylogeographic marker indicated a higher diversity of Tunisian A. marginale isolates compared with other available worldwide isolates and strains. Molecular, phylogenetic, and immuno-informatics analyses of the vaccine candidate OmpA protein demonstrated that this antigen and its predicted immunodominant epitopes of B and T cells appear to be highly conserved between Tunisian isolates and compared with isolates from other countries, suggesting that the minimal intraspecific modifications will not affect the potential cross-protective capacity of humoral and cell-mediated immune responses against multiple A. marginale worldwide strains., Competing Interests: The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest., (Copyright © 2021 Belkahia, Ben Abdallah, Andolsi, Selmi, Zamiti, Kratou, Mhadhbi, Darghouth, Messadi and Ben Said.)
- Published
- 2021
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