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∗-RICCI SOLITONS AND ∗-GRADIENT RICCI SOLITONS ON 3-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS
Dey, Dibakar,Majhi, Pradip Korean Mathematical Society 2020 대한수학회논문집 Vol.35 No.2
The object of the present paper is to characterize 3-dimensional trans-Sasakian manifolds of type (α, β) admitting ∗-Ricci solitons and ∗-gradient Ricci solitons. Under certain restrictions on the smooth functions α and β, we have proved that a trans-Sasakian 3-manifold of type (α, β) admitting a ∗-Ricci soliton reduces to a β-Kenmotsu manifold and admitting a ∗-gradient Ricci soliton is either flat or ∗-Einstein or it becomes a β-Kenmotsu manifold. Also an illustrative example is presented to verify our results.
Almost Kenmotsu Metrics with Quasi Yamabe Soliton
Pradip Majhi,Dibakar Dey 경북대학교 자연과학대학 수학과 2023 Kyungpook mathematical journal Vol.63 No.1
In the present paper, we characterize, for a class of almost Kenmotsu mani folds, those that admit quasi Yamabe solitons. We show that if a (k, µ)′ -almost Kenmotsu manifold admits a quasi Yamabe soliton (g, V, λ, α) where V is pointwise collinear with ξ, then (1) V is a constant multiple of ξ, (2) V is a strict infinitesimal contact transformation, and (3) (£V h′)X = 0 holds for any vector field X. We present an illustrative example to support the result.
Sasakian 3-Manifolds Satisfying Some Curvature Conditions Associated to Ƶ-Tensor
Dibakar Dey,Pradip Majhi 한국수학교육학회 2021 純粹 및 應用數學 Vol.28 No.2
In this paper, we study some curvature properties of Sasakian 3-manifolds associated to $\mathcal{Z}$-tensor. It is proved that if a Sasakian 3-manifold $(M,g)$ satisfies one of the conditions (1) the $\mathcal{Z}$-tensor is of Codazzi type, (2) $M$ is $\mathcal{Z}$-semisymmetric, (3) $M$ satisfies $Q(\mathcal{Z},R) = 0$, (4) $M$ is projectively $\mathcal{Z}$-semisymmetric, (5) $M$ is $\mathcal{Z}$-recurrent, then $(M,g)$ is of constant curvature 1. Several consequences are drawn from these results.
On *-Conformal Ricci Solitons on a Class of Almost Kenmotsu Manifolds
Majhi, Pradip,Dey, Dibakar Department of Mathematics 2021 Kyungpook mathematical journal Vol.61 No.4
The goal of this paper is to characterize a class of almost Kenmotsu manifolds admitting *-conformal Ricci solitons. It is shown that if a (2n + 1)-dimensional (k, µ)'-almost Kenmotsu manifold M admits *-conformal Ricci soliton, then the manifold M is *-Ricci flat and locally isometric to ℍ<sup>n+1</sup>(-4) × ℝ<sup>n</sup>. The result is also verified by an example.
RICCI ρ-SOLITON IN A PERFECT FLUID SPACETIME WITH A GRADIENT VECTOR FIELD
Dibakar Dey,Pradip Majhi Korean Mathematical Society 2023 대한수학회논문집 Vol.38 No.1
In this paper, we studied several geometrical aspects of a perfect fluid spacetime admitting a Ricci ρ-soliton and an η-Ricci ρ-soliton. Beside this, we consider the velocity vector of the perfect fluid space time as a gradient vector and obtain some Poisson equations satisfied by the potential function of the gradient solitons.
Sinha, Anuradha,Dey, Ayan,Saletti, Giulietta,Samanta, Pradip,Chakraborty, Partha Sarathi,Bhattacharya, M. K.,Ghosh, Santanu,Ramamurthy, T.,Kim, Jae-Ouk,Yang, Jae Seung,Kim, Dong Wook,Czerkinsky, Cecil American Society for Microbiology 2016 CLINICAL AND VACCINE IMMUNOLOGY Vol.23 No.7
<P>Developing countries are burdened with Shigella diarrhea. Understanding mucosal immune responses associated with natural Shigella infection is important to identify potential correlates of protection and, as such, to design effective vaccines. We performed a comparative analysis of circulating mucosal plasmablasts producing specific antibodies against highly conserved invasive plasmid antigens (IpaC, IpaD20, and IpaD120) and two recently identified surface protein antigens, pan-Shigella surface protein antigen 1 (PSSP1) and PSSP2, common to all virulent Shigella strains. We examined blood and stool specimens from 37 diarrheal patients admitted to the Infectious Diseases & Beliaghata General Hospital, Kolkata, India. The etiological agent of diarrhea was investigated in stool specimens by microbiological methods and real-time PCR. Gut-homing (alpha(4)beta(+)(7)) antibody secreting cells (ASCs) were isolated from patient blood by means of combined magnetic cell sorting and two-color enzymelinked immunosorbent spot (ELISPOT) assay. Overall, 57% (21 of 37) and 65% (24 of 37) of the patients were positive for Shigella infection by microbiological and real-time PCR assays, respectively. The frequency of alpha(4)beta(+)(7) IgG ASC responders against Ipas was higher than that observed against PSSP1 or PSSP2, regardless of the Shigella serotype isolated from these patients. Thus, alpha(4)beta(+)(7) ASC responses to Ipas may be considered an indirect marker of Shigella infection. The apparent weakness of ASC responses to PSSP1 is consistent with the lack of cross-protection induced by natural Shigella infection. The finding that ASC responses to IpaD develop in patients with recent-onset shigellosis indicates that such responses may not be protective or may wane too rapidly and/or be of insufficient magnitude.</P>
Exploration of ready-to-eat soft Bora rice genotypes of Assam for submergence tolerance
Panja Suraj,Mondal Kongkong,Kar Rup Kumar,Dey Pradip Chandra,Dey Narottam 한국작물학회 2023 Journal of crop science and biotechnology Vol.26 No.1
Assamese Bora rice lines are valuable genetic resource for their socio-economic importance and traditional usage. Being lowland rice lines of upper Brahmaputra basin, this group of genotypes also carries genetic potentiality for submergence tolerance which is another valuable aspect of Bora rice. Though a number attempts have been made to investigate their grain quality (softness and ready-to-eat properties), limited studies have recorded for their submergence tolerance. Thus, present study was undertaken to explore submergence tolerance potentiality of a collection of fve popular Bora rice lines with reference to the FR13A, the one and only rice genotype that has been utilized for submergence tolerance. Screening for submergence tolerance was done in standard experimental set up keeping the young seedlings of these lines in two subsequent phases (10 days and 20 days) of submergence followed by physio-biochemical analyses and conformation through RT-PCR-based expression study. Further, to unequivocally identify the rice genotypes at molecular level, the genomic DNA of the rice genotypes were amplifed for Sub1A loci to detect the associated allelic forms in form of diferent molecular weight of the amplifed products. Almost all the physio-biochemical parameters studied for the test plants in both the phases of submergence showed statistically signifcant diferences from the respective control plants. Among the fve rice genotypes, Saudang Bora showed best performance for most of the screening parameters with distinct allelic forms detected for the Sub1A loci
Basak, Bikram,Fatima, Adiba,Jeon, Byong-Hun,Ganguly, Amit,Chatterjee, Pradip Kumar,Dey, Apurba Elsevier 2018 Energy for sustainable development Vol.47 No.-
<P><B>Abstract</B></P> <P>Hydrogen (H<SUB>2</SUB>) is considered as fuel for future and its biological production from renewable feedstocks is very promising. Dark fermentation of fruit-vegetable waste (FVW) and cottage cheese whey (CCW) for the production of H<SUB>2</SUB> constitutes a promising way for combining energy generation and lignocellulosic waste management. In this work, process kinetics of biohydrogen production via dark fermentation of FVW and CCW by pretreated anaerobic sludge inocula were investigated. To inhibit H<SUB>2</SUB> consuming methanogens, the effects of various inoculum pretreatment, viz., 2-bromoethanesulfonate, heat-shock, acid, alkali, UV, and ultrasonication on H<SUB>2</SUB>-production were investigated which revealed 2-bromoethanesulfonate, heat-shock and acid-treated inoculum resulted in maximum bioH<SUB>2</SUB> production and yield of 118.12 ± 1.05, 93.37 ± 1.3, 96.32 mMol/L and 1.66, 1.22 ± 0.01, 1.39 ± 0.02 mMol/gCOD<SUB>initial</SUB>, respectively. The effects of system initial pH, substrate to inoculum (<I>S</I> <SUB> <I>0</I> </SUB> <I>/X</I> <SUB> <I>0</I> </SUB>) and carbon to nitrogen (<I>C/N</I>) ratio on H<SUB>2</SUB>-production were evaluated which revealed maximum H<SUB>2</SUB> production and yield could be achieved at pH 7, <I>S</I> <SUB> <I>0</I> </SUB> <I>/X</I> <SUB> <I>0</I> </SUB> of 10.6 g<SUB>COD</SUB>/g<SUB>VS</SUB>, and <I>C/N</I> 26.8. Modified Gompertz model and Modified Logistic model were used to define various kinetic parameters pertaining to cumulative H<SUB>2</SUB>-production which showed high <I>R</I> <SUP>2</SUP> values (≥0.98). The influence of pH on H<SUB>2</SUB> and ethanol/volatile fatty acids production kinetics were evaluated using Andrew's and Ratkowsky's model showing relatively good <I>R</I> <SUP>2</SUP> values (≥0.62). Remarkably high production of ethanol (2.43 ± 0.28 mg/L) was noticed alongside H<SUB>2</SUB> production at pH 7 suggesting that bioethanol can be recovered at the end of fermentative H<SUB>2</SUB> production. Terminal Restriction Fragment Length Polymorphism and 16s rDNA sequencing revealed dominance of 9 bacterial species such as <I>Escherichia coli</I>, <I>Clostridium butyricum</I>, <I>Streptococcus henryi</I>, and 6 others uncultured bacteroides. This research determined different kinetic parameters for an enhanced H<SUB>2</SUB> production strategy by co-fermentation of FVW and CCW providing an understanding of process behavior which will in turn help in the upscaling of the H<SUB>2</SUB>-production processes.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Various inoculum pretreatments were evaluated to maximize H<SUB>2</SUB> production. </LI> <LI> Characterization of H<SUB>2</SUB> production from co-fermentation of fruit-vegetable waste and cheese whey. </LI> <LI> Kinetic analyses of H<SUB>2</SUB> production using various unstructured mathematical models. </LI> <LI> Microbial population analysis of consortium was conducted using t-RFLP and 16s rDNA sequencing. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>