Arun Kumar Tripathy
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Arun Kumar Tripathy has a total of 20 co-authors. Here are the top co-authors by number of shared publications:
- Gokula Nanda Chhatria
Department of Mathematics and Statistics, Vignan’s Foundation for Science, Technology and Research (Deemed to be University), Deshmukhi, India
5 shared publications - Bhawna Gupta
School of Biotechnology, Kalinga Institute of Medical Sciences, Kalinga Institute of Industrial Technology, Deemed to be University, Bhubaneswar, Odisha, India
4 shared publications - Shyam Sundar Santra
Department of Mathematics, JIS College of Engineering, Kalyani 741235, India
4 shared publications - Nitish Swain
Disease Biology Laboratory, School of Biotechnology, Kalinga Institute of Industrial Technology (KIIT), Deemed to be University, Bhubaneswar, Odisha, India
3 shared publications - Prasanta Padhan
Department of Clinical Immunology and Rheumatology, Kalinga Institute of Medical Sciences, KIIT University, Bhubaneswar, Odisha, India
3 shared publications - Sunil Kumar Raghav
Institute of Life Sciences Bhubaneswar India
3 shared publications
Latest Publications
- 18 July 2024
- Published by Institute of Mathematics, Czech Academy of Sciences
- Vol. 150 (1) , 139-159
Dynamic behavior of vector solutions of a class of 2-D neutral differential systems
Institute of Mathematics of the Czech Academy of Sciences
- 18 July 2024
- Published by Institute of Mathematics, Czech Academy of Sciences
- Vol. 150 (1) , 139-159
Dynamic behavior of vector solutions of a class of 2-D neutral differential systems
Institute of Mathematics of the Czech Academy of Sciences
- 20 June 2023
- Published by Elsevier in Immunobiology
- Vol. 228 (4) , 152415
Lactobacillus rhamnosus reduces CD8+T cell mediated inflammation in patients with rheumatoid arthritis
- 20 June 2023
- Published by Elsevier in Immunobiology
- Vol. 228 (4) , 152415
Lactobacillus rhamnosus reduces CD8+T cell mediated inflammation in patients with rheumatoid arthritis
- 26 March 2023
- Published by Springer Nature
- p. 167-181
Oscillation of Second Order Impulsive Neutral Difference Equations of Non-canonical Type
- 26 March 2023
- Published by Springer Nature
- p. 167-181
Oscillation of Second Order Impulsive Neutral Difference Equations of Non-canonical Type
- 15 October 2022
- Published by Springer Nature in Differential Equations and Dynamical Systems
- Vol. 32 (4) , 1193-1213
Characterization of First Order 2-dim Neutral Delay Difference Systems
- 15 October 2022
- Published by Springer Nature in Differential Equations and Dynamical Systems
- Vol. 32 (4) , 1193-1213
Characterization of First Order 2-dim Neutral Delay Difference Systems
- 29 August 2022
- Published by Institute of Mathematics, Czech Academy of Sciences in Mathematica Bohemica
- Vol. 148 (4) , 447-460
Oscillation criteria for two dimensional linear neutral delay difference systems
Institute of Mathematics of the Czech Academy of Sciences
- 29 August 2022
- Published by Institute of Mathematics, Czech Academy of Sciences in Mathematica Bohemica
- Vol. 148 (4) , 447-460
Oscillation criteria for two dimensional linear neutral delay difference systems
Institute of Mathematics of the Czech Academy of Sciences
- Open Access
- 2 June 2022
- Published by Egyptian Knowledge Bank in Journal of the Egyptian Mathematical Society
- Vol. 30 (1) , 1-18
Oscillation of linear third-order impulsive difference equations with variable coefficients
The present work discusses the qualitative behaviour of solutions of third-order difference equations of the form: $$\begin{aligned} w(l+3)+a(l)w(l+2)+b(l)w(l+1)+c(l)w(l)=0,\,l\ne \theta _{k},\,l\ge l_{0} \end{aligned}$$ subject to the impulsive condition $$\begin{aligned} w(\theta _{k})=\alpha _{k} w(\theta _{k}-1),\, k\in {\mathbb {N}}. \end{aligned}$$ Our state of the art is the inequality technique under the control of fixed moments of impulsive effect. We give some numerical examples to illustrate our findings.- 2 June 2022
- Published by Egyptian Knowledge Bank in Journal of the Egyptian Mathematical Society
- Vol. 30 (1) , 1-18
Open AccessOscillation of linear third-order impulsive difference equations with variable coefficients
The present work discusses the qualitative behaviour of solutions of third-order difference equations of the form: $$\begin{aligned} w(l+3)+a(l)w(l+2)+b(l)w(l+1)+c(l)w(l)=0,\,l\ne \theta _{k},\,l\ge l_{0} \end{aligned}$$ subject to the impulsive condition $$\begin{aligned} w(\theta _{k})=\alpha _{k} w(\theta _{k}-1),\, k\in {\mathbb {N}}. \end{aligned}$$ Our state of the art is the inequality technique under the control of fixed moments of impulsive effect. We give some numerical examples to illustrate our findings. - 1 June 2022
- Published by Walter de Gruyter GmbH in Mathematica Slovaca
- Vol. 72 (3) , 661-676
Unbounded oscillation criteria for fourth order neutral differential equations of non-canonical type
In this work, sufficient conditions are established for oscillation of all unbounded solutions of a class of fourth order neutral differential equations of the form under the non-canonical type assumption for various ranges of p(t) with ∣p(t)∣ < ∞.- 1 June 2022
- Published by Walter de Gruyter GmbH in Mathematica Slovaca
- Vol. 72 (3) , 661-676
Unbounded oscillation criteria for fourth order neutral differential equations of non-canonical type
In this work, sufficient conditions are established for oscillation of all unbounded solutions of a class of fourth order neutral differential equations of the form under the non-canonical type assumption for various ranges of p(t) with ∣p(t)∣ < ∞.- 1 May 2022
- Published by Bentham Science Publishers Ltd. in Current Rheumatology Reviews
- Vol. 18 (2) , 89-100
Understanding the Role and Uses of Alternative Therapies for the Management of Rheumatoid Arthritis
With the growing popularity of complementary and alternative medicine (CAM) among individuals with chronic pain and muscular problems, a number of patients with rheumatoid arthritis (RA) show their interest in CAM interventions for disease improvement. Various reports published on CAM are based on an animal model of RA; however, there is often a lack of high-quality clinical investigations for explaining the success stories of CAM therapies in patients with RA. CAMs having the potential to be used for therapy in patients with RA have been identified, however lack of awareness and skepticism of their efficacy has made the patients reluctant to choose these drug-less therapies. In this review, we have summarized the existing evidence which suggests promising efficacy of different alternative therapies in managing RA and providing both physical and mental well-being to RA patients.
- 1 May 2022
- Published by Bentham Science Publishers Ltd. in Current Rheumatology Reviews
- Vol. 18 (2) , 89-100
Understanding the Role and Uses of Alternative Therapies for the Management of Rheumatoid Arthritis
With the growing popularity of complementary and alternative medicine (CAM) among individuals with chronic pain and muscular problems, a number of patients with rheumatoid arthritis (RA) show their interest in CAM interventions for disease improvement. Various reports published on CAM are based on an animal model of RA; however, there is often a lack of high-quality clinical investigations for explaining the success stories of CAM therapies in patients with RA. CAMs having the potential to be used for therapy in patients with RA have been identified, however lack of awareness and skepticism of their efficacy has made the patients reluctant to choose these drug-less therapies. In this review, we have summarized the existing evidence which suggests promising efficacy of different alternative therapies in managing RA and providing both physical and mental well-being to RA patients.
- 10 February 2022
- Published by Springer Nature in Rheumatology International
- Vol. 42 (7) , 1235-1245
Toll-like receptor-7 activation in CD8+ T cells modulates inflammatory mediators in patients with rheumatoid arthritis
Rheumatoid arthritis (RA) is an autoimmune disorder of unknown etiology with aberrant immunological responses leading to inflammation, swelling and pain of the joints. CD8+ T cells have been known to be one of the major immune modulators in the progression of RA and the presence of toll-like receptors (TLRs) on these cells further accentuate their role in RA. Herein, we report an increased expression of TLR7 in the endosomes of CD8+ T cells of RA patients correlating with disease severity. The stimulation of TLR7 with Imiquimod (IMQ) in these CD8+ T cells drives the signalling cascade via NFkB and pERK activation and hence an increase in the mRNA transcripts of signature cytokines and cytolytic enzymes. However, a parallel synthesis of Tristetraprolin (TTP), an mRNA destabilizing protein prevents the translation of the mRNA transcripts, leading to a rapid degeneration of the target mRNA. We thus report that a direct TLR7 ligation by its agonist increases cytokine transcript signature but not an equivalent protein surge.
- 10 February 2022
- Published by Springer Nature in Rheumatology International
- Vol. 42 (7) , 1235-1245
Toll-like receptor-7 activation in CD8+ T cells modulates inflammatory mediators in patients with rheumatoid arthritis
Rheumatoid arthritis (RA) is an autoimmune disorder of unknown etiology with aberrant immunological responses leading to inflammation, swelling and pain of the joints. CD8+ T cells have been known to be one of the major immune modulators in the progression of RA and the presence of toll-like receptors (TLRs) on these cells further accentuate their role in RA. Herein, we report an increased expression of TLR7 in the endosomes of CD8+ T cells of RA patients correlating with disease severity. The stimulation of TLR7 with Imiquimod (IMQ) in these CD8+ T cells drives the signalling cascade via NFkB and pERK activation and hence an increase in the mRNA transcripts of signature cytokines and cytolytic enzymes. However, a parallel synthesis of Tristetraprolin (TTP), an mRNA destabilizing protein prevents the translation of the mRNA transcripts, leading to a rapid degeneration of the target mRNA. We thus report that a direct TLR7 ligation by its agonist increases cytokine transcript signature but not an equivalent protein surge.
- Open Access
- 1 January 2022
- Published by Walter de Gruyter GmbH in Nonautonomous Dynamical Systems
- Vol. 9 (1) , 91-102
Necessary and Sufficient Conditions for Oscillation of Nonlinear Neutral Difference Systems of dim-2
This work is concerned about the necessary and sufficient conditions for oscillation of solutions of 2-dimensional nonlinear neutral delay difference systems of the form: Δ [ x ( n ) + p ( n ) x ( n − m ) y ( n ) + p ( n ) y ( n − m ) ] = [ a ( n ) b ( n ) c ( n ) d ( n ) ] [ f ( x ( n − α ) ) g ( y ( n − β ) ) ] , \Delta \left[ {\matrix{ {x\left( n \right) + p\left( n \right)x\left( {n - m} \right)} \hfill \cr {y\left( n \right) + p\left( n \right)y\left( {n - m} \right)} \hfill \cr } } \right] = \left[ {\matrix{ {a\left( n \right)} \hfill & {b\left( n \right)} \hfill \cr {c\left( n \right)} \hfill & {d\left( n \right)} \hfill \cr } } \right]\,\,\left[ {\matrix{ {f\left( {x\left( {n - \alpha } \right)} \right)} \hfill \cr {g\left( {y\left( {n - \beta } \right)} \right)} \hfill \cr } } \right], where m > 0, α ≥ 0, β ≥ 0 are integers, a(n), b(n), c(n), d(n), p(n) are real sequences and f, g ∈ 𝒞(ℝ, ℝ).
- 1 January 2022
- Published by Walter de Gruyter GmbH in Nonautonomous Dynamical Systems
- Vol. 9 (1) , 91-102
Open AccessNecessary and Sufficient Conditions for Oscillation of Nonlinear Neutral Difference Systems of dim-2
This work is concerned about the necessary and sufficient conditions for oscillation of solutions of 2-dimensional nonlinear neutral delay difference systems of the form: Δ [ x ( n ) + p ( n ) x ( n − m ) y ( n ) + p ( n ) y ( n − m ) ] = [ a ( n ) b ( n ) c ( n ) d ( n ) ] [ f ( x ( n − α ) ) g ( y ( n − β ) ) ] , \Delta \left[ {\matrix{ {x\left( n \right) + p\left( n \right)x\left( {n - m} \right)} \hfill \cr {y\left( n \right) + p\left( n \right)y\left( {n - m} \right)} \hfill \cr } } \right] = \left[ {\matrix{ {a\left( n \right)} \hfill & {b\left( n \right)} \hfill \cr {c\left( n \right)} \hfill & {d\left( n \right)} \hfill \cr } } \right]\,\,\left[ {\matrix{ {f\left( {x\left( {n - \alpha } \right)} \right)} \hfill \cr {g\left( {y\left( {n - \beta } \right)} \right)} \hfill \cr } } \right], where m > 0, α ≥ 0, β ≥ 0 are integers, a(n), b(n), c(n), d(n), p(n) are real sequences and f, g ∈ 𝒞(ℝ, ℝ).