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  1. Book: Computational and Analytic Methods in Biological Sciences

    Makrariya, Akshara / Jha, Amrita / Shukla, Anant Kant / Jha, Brajesh Kumar / Naik, Parvaiz Ahmad / Musheer, Rabia

    Bioinformatics with Machine Learning and Mathematical Modelling

    2023  

    Abstract: Despite major advances in healthcare over the past century, the successful treatment of cancer has remained a significant challenge, and cancers are the second leading cause of death worldwide behind cardiovascular disease. Early detection and survival ... ...

    Author's details Dr Akshara Makrariya has a PhD in Mathematics from the National Institute of Technology (SVNIT) Surat, India, specializing in computational and bio mathematics. She completed her Post-Doctoral Research under the Young Scientist Fellowship (NPDF) programme, from the Science & Engineering Research Board (SERB), DST, and Government of India. Her research interest includes computational models to study temperature distribution in extended spherical and ellipsoidal shaped human organs, computational models to study thermal disturbances due to tumours, and their modelling with different numerical methods like fractional calculus, and the finite volume method, and by using optimization techniques. Dr Jha obtained his PhD in Mathematics in the year 2013 from the National Institute of Technology (SVNIT) Surat, India. His research area includes mathematical modelling and simulation of calcium dynamics in astrocytes, finite element modelling of biological problems, and fractional differential
    Abstract Despite major advances in healthcare over the past century, the successful treatment of cancer has remained a significant challenge, and cancers are the second leading cause of death worldwide behind cardiovascular disease. Early detection and survival are important issues to control cancer. The development of quantitative methods and computer technology has facilitated the formation of new models in medical and biological sciences. The application of mathematical modelling in solving many re...
    Keywords Mathematical Modeling ; Machine Learning ; Finite Difference Methods ; Pattern Recognition ; Caputo Fractional Derivative ; Ordinary Differential Equations ; Fractional Calculus ; Fractional Derivative ; Fractional Order Derivatives ; Equilibrium Points ; Calcium Diffusion ; Fractional Order Model ; Moisture Content ; Disease Free Equilibrium Point ; Power Law Fluid ; ADM ; Endemic Equilibrium Point ; Vice Versa ; DTM ; Fractional Order ; Fem ; Pseudo-plastic Fluid ; Calcium Profile ; Hartmann Number ; Basal Forebrain Neuron ; Fractional Order Operators ; Fuzzy Transform ; Data Sets
    Language English
    Size 296 p.
    Edition 1
    Publisher River Publishers
    Document type Book
    Note PDA Manuell_21
    Format 241 x 162 x 21
    ISBN 9788770226950 ; 8770226954
    Database PDA

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  2. Article ; Online: Stability and bifurcation analysis of a discrete predator-prey system of Ricker type with refuge effect.

    Naik, Parvaiz Ahmad / Amer, Muhammad / Ahmed, Rizwan / Qureshi, Sania / Huang, Zhengxin

    Mathematical biosciences and engineering : MBE

    2024  Volume 21, Issue 3, Page(s) 4554–4586

    Abstract: The refuge effect is critical in ecosystems for stabilizing predator-prey interactions. The purpose of this research was to investigate the complexities of a discrete-time predator-prey system with a refuge effect. The analysis investigated the presence ... ...

    Abstract The refuge effect is critical in ecosystems for stabilizing predator-prey interactions. The purpose of this research was to investigate the complexities of a discrete-time predator-prey system with a refuge effect. The analysis investigated the presence and stability of fixed points, as well as period-doubling and Neimark-Sacker (NS) bifurcations. The bifurcating and fluctuating behavior of the system was controlled via feedback and hybrid control methods. In addition, numerical simulations were performed as evidence to back up our theoretical findings. According to our findings, maintaining an optimal level of refuge availability was critical for predator and prey population cohabitation and stability.
    MeSH term(s) Animals ; Ecosystem ; Models, Biological ; Predatory Behavior ; Population Dynamics
    Language English
    Publishing date 2024-03-28
    Publishing country United States
    Document type Journal Article
    ZDB-ID 2265126-3
    ISSN 1551-0018 ; 1551-0018
    ISSN (online) 1551-0018
    ISSN 1551-0018
    DOI 10.3934/mbe.2024201
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article ; Online: Modeling and simulation of spatial-temporal calcium distribution in T lymphocyte cell by using a reaction-diffusion equation.

    Naik, Parvaiz Ahmad / Zu, Jian

    Journal of bioinformatics and computational biology

    2020  Volume 18, Issue 2, Page(s) 2050013

    Abstract: T lymphocytes are white blood cells that play a central role in cell-mediated immunity. ... ...

    Abstract T lymphocytes are white blood cells that play a central role in cell-mediated immunity. Ca
    Language English
    Publishing date 2020-05-06
    Publishing country Singapore
    Document type Journal Article
    ZDB-ID 2115015-1
    ISSN 1757-6334 ; 0219-7200
    ISSN (online) 1757-6334
    ISSN 0219-7200
    DOI 10.1142/S0219720020500134
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  4. Article ; Online: Modeling the effects of the contaminated environments on COVID-19 transmission in India.

    Naik, Parvaiz Ahmad / Zu, Jian / Ghori, Muhammad Bilal / Naik, Mehraj-Ud-Din

    Results in physics

    2021  Volume 29, Page(s) 104774

    Abstract: COVID-19 is an infectious disease caused by the SARS-CoV-2 virus that caused an outbreak of typical pneumonia first in Wuhan and then globally. Although researchers focus on the human-to-human transmission of this virus but not much research is done on ... ...

    Abstract COVID-19 is an infectious disease caused by the SARS-CoV-2 virus that caused an outbreak of typical pneumonia first in Wuhan and then globally. Although researchers focus on the human-to-human transmission of this virus but not much research is done on the dynamics of the virus in the environment and the role humans play by releasing the virus into the environment. In this paper, a novel nonlinear mathematical model of the COVID-19 epidemic is proposed and analyzed under the effects of the environmental virus on the transmission patterns. The model consists of seven population compartments with the inclusion of contaminated environments means there is a chance to get infected by the virus in the environment. We also calculated the threshold quantity
    Language English
    Publishing date 2021-09-03
    Publishing country Netherlands
    Document type Journal Article
    ZDB-ID 2631798-9
    ISSN 2211-3797 ; 2211-3797
    ISSN (online) 2211-3797
    ISSN 2211-3797
    DOI 10.1016/j.rinp.2021.104774
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  5. Article: Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control.

    Naik, Parvaiz Ahmad / Zu, Jian / Owolabi, Kolade M

    Chaos, solitons, and fractals

    2020  Volume 138, Page(s) 109826

    Abstract: In this paper, a nonlinear fractional order epidemic model for HIV transmission is proposed and analyzed by including extra compartment namely exposed class to the basic SIR epidemic model. Also, the infected class of female sex workers is divided into ... ...

    Abstract In this paper, a nonlinear fractional order epidemic model for HIV transmission is proposed and analyzed by including extra compartment namely exposed class to the basic SIR epidemic model. Also, the infected class of female sex workers is divided into unaware infectives and the aware infectives. The focus is on the spread of HIV by female sex workers through prostitution, because in the present world sexual transmission is the major cause of the HIV transmission. The exposed class contains those susceptible males in the population who have sexual contact with the female sex workers and are exposed to the infection directly or indirectly. The Caputo type fractional derivative is involved and generalized Adams-Bashforth-Moulton method is employed to numerically solve the proposed model. Model equilibria are determined and their stability analysis is considered by using fractional Routh-Hurwitz stability criterion and fractional La-Salle invariant principle. Analysis of the model demonstrates that the population is free from the disease if
    Keywords covid19
    Language English
    Publishing date 2020-06-18
    Publishing country England
    Document type Journal Article
    ZDB-ID 2003919-0
    ISSN 1873-2887 ; 0960-0779
    ISSN (online) 1873-2887
    ISSN 0960-0779
    DOI 10.1016/j.chaos.2020.109826
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  6. Article: Forced convection of non-darcy flow of ethylene glycol conveying copper(II) oxide and titanium dioxide nanoparticles subject to lorentz force on wedges: Non-newtonian casson model.

    Naik, Parvaiz Ahmad / Indumathi, N / Ganga, B / Charles, S / Hakeem, A K Abdul / Iqbal, Zahoor / Tag-ElDin, ElSayed / Zu, Jian

    Frontiers in chemistry

    2022  Volume 10, Page(s) 1010591

    Abstract: The topic of two-dimensional steady laminar MHD boundary layer flow across a wedge with non-Newtonian hybrid nanoliquid (CuO- ... ...

    Abstract The topic of two-dimensional steady laminar MHD boundary layer flow across a wedge with non-Newtonian hybrid nanoliquid (CuO-TiO
    Language English
    Publishing date 2022-09-26
    Publishing country Switzerland
    Document type Journal Article
    ZDB-ID 2711776-5
    ISSN 2296-2646
    ISSN 2296-2646
    DOI 10.3389/fchem.2022.1010591
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  7. Article ; Online: Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan.

    Naik, Parvaiz Ahmad / Yavuz, Mehmet / Qureshi, Sania / Zu, Jian / Townley, Stuart

    European physical journal plus

    2020  Volume 135, Issue 10, Page(s) 795

    Abstract: Coronaviruses are a large family of viruses that cause different symptoms, from mild cold to severe respiratory distress, and they can be seen in different types of animals such as camels, cattle, cats and bats. Novel coronavirus called COVID-19 is a ... ...

    Abstract Coronaviruses are a large family of viruses that cause different symptoms, from mild cold to severe respiratory distress, and they can be seen in different types of animals such as camels, cattle, cats and bats. Novel coronavirus called COVID-19 is a newly emerged virus that appeared in many countries of the world, but the actual source of the virus is not yet known. The outbreak has caused pandemic with 26,622,706 confirmed infections and 874,708 reported deaths worldwide till August 31, 2020, with 17,717,911 recovered cases. Currently, there exist no vaccines officially approved for the prevention or management of the disease, but alternative drugs meant for HIV, HBV, malaria and some other flus are used to treat this virus. In the present paper, a fractional-order epidemic model with two different operators called the classical Caputo operator and the Atangana-Baleanu-Caputo operator for the transmission of COVID-19 epidemic is proposed and analyzed. The reproduction number
    Keywords covid19
    Language English
    Publishing date 2020-10-08
    Publishing country Germany
    Document type Journal Article
    ISSN 2190-5444
    ISSN (online) 2190-5444
    DOI 10.1140/epjp/s13360-020-00819-5
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  8. Article ; Online: Finite element model to study calcium distribution in oocytes involving voltage gated Ca2+ channel, ryanodine receptor and buffers

    Parvaiz Ahmad Naik / Kamal Raj Pardasani

    Alexandria Journal of Medicine, Vol 52, Iss 1, Pp 43-

    2016  Volume 49

    Abstract: Calcium is one of the most important signalling ions in cell biology performing numerous functions with high specificity. A calcium wave triggers life at fertilization but also can cause cell death. The means by which this single ion can be both highly ... ...

    Abstract Calcium is one of the most important signalling ions in cell biology performing numerous functions with high specificity. A calcium wave triggers life at fertilization but also can cause cell death. The means by which this single ion can be both highly specific and universal is believed to lie in its spatiotemporal dynamics mediated by ion channels, pumps, receptors and calcium buffers. During oocyte maturation the calcium signalling machinery undergoes differentiation which results in distinctly different calcium release patterns on all organizational scales from puffs to waves. The calcium concentration patterns required during different stages of oocyte maturation are still not completely known. Also the mechanisms involved in calcium dynamics in oocyte cell are still not well understood. In view of above a two dimensional model has been proposed to study calcium dynamics in an oocyte cell. The parameters such as buffers, ryanodine receptor and voltage gated calcium channel are incorporated in the model. Based on the biophysical conditions the initial and boundary conditions have been framed. The model is transformed into variational form and Ritz finite element method has been employed to obtain the solution. A program has been developed in MATLAB 7.10 for the entire problem and executed to obtain numerical results. The numerical results have been used to study the effect of buffers, RyR and VGCC on calcium distribution in oocyte. The results indicate that buffers can significantly decrease the calcium concentration and RyR & VGCC can significantly raise the calcium concentration level in the oocyte cell in order to initiate, sustain and terminate specific activities in the cell. The information generated from the model can be useful to biomedical scientists for clinical and biomedical applications.
    Keywords FEM ; VGCC ; Buffers ; RyR ; MATLAB ; Reaction diffusion equation ; Medicine ; R
    Subject code 572
    Language English
    Publishing date 2016-03-01T00:00:00Z
    Publisher Taylor & Francis Group
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  9. Article ; Online: Finite Element Model to Study Effect of Na + /K + Pump and Na + /Ca 2+ Exchanger on Calcium Distribution in Oocytes in Presence of Buffers

    Parvaiz Ahmad Naik / Kamal Raj Pardasani

    Asian Journal of Mathematics & Statistics, Vol 7, Iss 1, Pp 21-

    2014  Volume 28

    Abstract: Calcium, a second messenger for signal transduction in cells plays an important role in almost every cell of our human body. In oocytes calcium plays a significant role in oocyte maturation. In the process of reproduction calcium concentration is ... ...

    Abstract Calcium, a second messenger for signal transduction in cells plays an important role in almost every cell of our human body. In oocytes calcium plays a significant role in oocyte maturation. In the process of reproduction calcium concentration is regulated at high levels in oocytes through various mechanisms so as to meet the requirements of oocytes maturation. Thus modelling of calcium distribution in oocytes can help us in understanding this mechanism in a better way. Here an attempt has been made to develop a finite element model to study calcium distribution in oocytes. The model incorporates the parameters like diffusion coefficient, Na + /K + pump, Na + /Ca 2+ exchanger and buffers like BAPTA and EGTA. The proposed model is solved numerically using appropriate initial and boundary conditions. The program has been developed in MATLAB 7.10 for the entire problem and simulated on a 64 bit machine to compute the numerical results.
    Keywords reaction ; MATLAB ; diffusion equations ; buffers ; Na+/Ca2+ exchanger ; Na+/K+ pump ; Finite element method ; Mathematics ; QA1-939 ; Science ; Q
    Subject code 333
    Language English
    Publishing date 2014-01-01T00:00:00Z
    Publisher Asian Network for Scientific Information
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  10. Article: Feed fortification of periparturient Murrah buffaloes with dietary yeast (Saccharomyces cerevisiae) elevates metabolic and fertility indices under field conditions

    Ahmad Para, Irshad / Ahmad Shah, Mudasir / Punetha, Meeti / Hussain Dar, Aashaq / Rautela, Ankita / Gupta, Deepanshu / Singh, Mahendra / Ahmad Naik, Muzaffar / Rayees, Mohmad / Sikander Dar, Parvaiz / Ahmad Malla, Bilal

    Biological rhythm research. 2020 Aug. 17, v. 51, no. 6

    2020  

    Abstract: Dairy cows undergo dramatic changes in physiological, biochemical and metabolic homeostatic mechanisms during the transition period leading to stress and negative energy balance to the animal which in turn leads to decreased fertility. The objective of ... ...

    Abstract Dairy cows undergo dramatic changes in physiological, biochemical and metabolic homeostatic mechanisms during the transition period leading to stress and negative energy balance to the animal which in turn leads to decreased fertility. The objective of the current study was to evaluate the effect of supplementation of fermented yeast culture (FYC) on the metabolic profile and reproductive parameters of healthy t Murrah buffaloes during the transition period. Fourteen Murrah buffaloes with no history of reproductive problems under field conditions were selected and divided into two blocks (supplemented group and control group) based on yield, parity, body condition score, and predicted calving date. In the supplemented group, each animal was supplemented with 24 g/day FYC mixed in concentrate from −15th day pre-partum to 90th day post-partum in addition to basal ration. Energy balance of animals was assessed by estimation of blood metabolites (glucose, non-esterified fatty acids[NEFA], beta-hydroxybutyric acid [BHBA]), plasma lipid profile, viz., cholesterol, HDL, VLDL, and triglycerides at 15 days interval. Post-partum fertility was assessed to determine the onset of first post-partum heat, number of inseminations per conception, conception rate, and service period. Significantly higher plasma levels of glucose (p < 0.05) were observed in the supplemented group compared to the control at 45th, 60th, and 90th day post-partum, thus indicating positive effects on glucose level by FYC supplementation. Significantly (p < 0.05) lower levels of NEFA were observed in the supplemented group at 15th and 75th day post-partum than the control group. Significantly lower (p < 0.05) plasma levels of BHBA were observed in the supplemented group from 15th day post-partum till the end of experimental trial than in the control group. The supplemented group showed improved conception rate of the order of more than 10% compared to the control group. The service period was significantly (p < 0.05) less in the supplemented group (117.25 ± 4.81 days) in comparison to the control group (146.25 ± 4.81days). Overall post-partum conception rate was 85% in the supplemented group and 72.52% in the control group.
    Keywords 3-hydroxybutyric acid ; Saccharomyces cerevisiae ; blood lipids ; blood plasma ; body condition ; buffaloes ; calving ; cholesterol ; conception rate ; dairy cows ; energy balance ; feed supplements ; free fatty acids ; glucose ; heat ; high density lipoprotein ; lipid composition ; triacylglycerols ; very low density lipoprotein ; yeasts
    Language English
    Dates of publication 2020-0817
    Size p. 858-868.
    Publishing place Taylor & Francis
    Document type Article
    ZDB-ID 1185065-6
    ISSN 1744-4179 ; 0929-1016
    ISSN (online) 1744-4179
    ISSN 0929-1016
    DOI 10.1080/09291016.2018.1557834
    Database NAL-Catalogue (AGRICOLA)

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