Majors Degrees

• Ph.D. 

 

Professional Experience

Research Papers 

• Portraying the Effect of Calcium-Binding Proteins on Cytosolic Calcium Concentration Distribution Fractionally in Nerve Cells, Interdisciplinary Sciences: Computational Life Sciences - Springer, Vol-10 (4) pp. 674-685, Dec 2018. (SCIE, IF-4.8, Q2)

• Fractionally Delineate the Neuroprotective Function of Calbindin-D28k in Parkinson’s Disease, International Journal of Biomathematics - World Scientific, Vol-11 (8) pp. 1850103, Nov 2018. (SCIE, IF-2.2, Q3)

• Fractional-order Mathematical model for Calcium Distribution in Nerve Cells, Computational and Applied Mathematics – Springer, Vol-39 (2) pp. 56, Feb 2020. (SCIE, IF-2.6, Q2)      

• On a Reaction-Diffusion Model for Calcium Dynamics in Neurons with Mittag-Leffler Memory, The European Physical Journal Plus- Springer, Vol-136 (6) pp. 1-15, June 2021. (SCI, SCIE, IF-3.4, Q2) 

• Modeling the Spatiotemporal Intracellular Calcium Dynamics in Nerve Cell with Strong Memory Effects, International Journal of Nonlinear Sciences and Numerical Simulation- De Gruyter, Vol-  pp., Aug 2021. (SCIE, IF-2.156, Q2).  

• Generalized Diffusion Characteristics of Calcium Model with Concentration and Memory of Cells: A Spatiotemporal Approach, Iranian Journal of Science and Technology, Transaction A, Science- Springer, Vol-46 (1) pp. 309-322, Feb 2022. (SCIE, IF-1.7, Q2). 

• Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data, Mathematical bioscience and engineering, AIMS Press, Vol- 20 (1) pp. 213-240, Sep 2022. (SCIE, IF-2.6, Q2). 

• 2D dynamic analysis of the disturbances in the calcium neuronal model and its implications in neurodegenerative disease’, Cognitive Neurodynamics, Springer, Nov 2022. (SCIE, IF-3.7, Q3).  

• 2D memory-based mathematical analysis for the combined impact of calcium influx and efflux on nerve cells, Computers and Mathematics with Applications, Elsevier, Vol-134 pp. 33-44, Jan 2023. (SCI, IF-2.9, Q1). 

• Stability Analysis of a Non-singular Fractional-order COVID-19 Model with Nonlinear Incidence and Treatment Rate, Physica Scripta, IOPscience, Vol-98 (4) pp. 045216, Mar 2023. (SCI, IF-2.9, Q2).    

• Transition dynamics between a novel coinfection model of fractional-order for COVID-19 and Tuberculosis via a treatment mechanism, The European Physical Journal Plus- Springer, Vol-138 (5) pp. 468, May 2023. (SCI, SCIE, IF-3.4, Q2) 

• Chaos of calcium diffusion in Parkinson's infectious disease model and treatment mechanism via Hilfer fractional derivative, Mathematical Modelling and Numerical Simulation with Applications 1 (2), 84-94, 2021. (Scopus Index) 

• Analysis of the disturbance effect in intracellular calcium dynamic on fibroblast cells with an exponential kernel law, Bulletin of Biomathematics, Vol-1 (1), pp. 24-39, 2023.

• Advection diffusion model to study the astrocyte calcium regulation in neurodegenerative disease, Mathematics in Engineering, Science and Aerospace (MESA), Vol-13 (3) pp. 731-739, Aug 2022. (Scopus Index) 

Book Chapters

• A Fractional Mathematical Model to Study the Effect of Buffer and Endoplasmic Reticulum on Cytosolic Calcium Concentration in Nerve Cells’ Fractional Calculus in Medical and Health Science, CRC Press, Taylor & Francis Group, pp 211, July 2020. (Scopus Index) 

• A Fractional Calculus Model to Depict the Calcium Diffusion for Neurodegenerative Disease, Computational and Analytic Methods in Biological Sciences: Bioinformatics with Machine Learning and Mathematical Modelling, River Publishers, pp 209, May 2023. (Scopus Index) 

• Implementation of Haar Wavelet Transform and Principal Component Analysis Techniques for LSB Image Steganography, Series of Computer Science, Technology and Applications, Novel Developments in Computational Intelligence Systems and Their Applications in Multidisciplinary Areas, Nova Science Publishers, Feb 2023. 

Conference Proceedings

• Mathematical Model to Study the Effect of Mitochondria on Ca2+ Diffusion in Parkinsonic Nerve Cells, Proceedings of the International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2018), AIP Conference Proceedings, Vol-1975 (1) pp. 030013, Jun 2018. (Scopus Index)

• Fractional Reaction Diffusion Model for Parkinson’s Disease, Proceedings of the International Conference on ISMAC in Computational Vision and Bio-Engineering 2018 (ISMAC-CVB 2018), Lecture Notes in Computational Vision and Biomechanics, Springer, Cham., Vol-30 pp 1739-1748, Jan 2019. (Scopus Index) 

• A Mathematical Model to Study the Role of Buffer and ER Flux on Calcium Distribution in Nerve Cells, Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy (MMCITRE 2020), Proceedings of the First International Conference, Advances in Intelligent Systems and Computing, Springer, Singapore, Vol- 1287 pp 265-273, Feb 2021. (Scopus Index)   

• A Fractional Mathematical Model to Study the Effect of Buffer on Calcium Distribution in Parkinson’s Disease’, Proceedings of the 2019 9th International Conference on Bioscience, Biochemistry and Bioinformatics, ACM Digital Library, pp. 58-62, Jan 2019. (Scopus Index) 

• A Fractional Approach to Study of Calcium Advection Distribution and VGCC in Astrocyte’, 2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), IEEE Publisher, Ajman, United Arab Emirates, pp. 1-5, 2023. (Scopus Index)    

Articles Published

• Jignesh Doshi, Bhushan Trivedi: 

• 1st prize in the Poster Presentation: International Conference on Recent Trends in Materials and Devices (ICRTMD-2019) jointly organized by Amity Institute of Applied Sciences and Amity Institute of Advanced Research and Studies, Utter Pradesh, Noida, India during 18-19 Dec 2019. A Poster entitled ‘Solution of Fractional Reaction Diffusion Equation Using Finite Element Method and Implication in Calcium Dynamics’. 
• 3rd prize in the Poster Presentations: Euro-India International Conference on Experimental and Clinical Medicine (ICECM-2017) organized by International and Inter University Centre for Nanoscience and Nanotechnology (IIUCNN), Mahatma Gandhi University, Kottayam, Kerala, India during 10-12 November 2017. A Poster entitled ‘A Mathematical Model to Study the Behavior of Cytosolic Calcium Distribution in Parkinson’s Disease’.   
  

Books

• Fundamentals of Computers

Graduate Level

• Calculus, Linear Algebra, Differential Equation, Advanced Engineering Mathematics, Numerical Methods, Probability and Statistics, Introduction to Probability Theory and Stochastic Processes, Discrete Mathematics

Academic

• Total academic experience is of 15 years.  

  
  

Seminars/Workshop Attended

• GIAN (Global Initiative on Academic Network) Course on The ‘Fractional Derivatives and its Applications’ organized by Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh and Sponsored by GIAN-MHRD Government of India during 30th Jan to 3rd Feb 2018. (1-Credit Course, Subject Name: Fractional Derivatives and its Applications, Duration: 5 Days, Theory hrs: 12, Course Instructor: Prof. Om P. Agrawal, Southern Illinois University Carbondale, IL, USA.)  

• One week GIAN (Global Initiative on Academic Network) Course on The Finite Element Method in Engineering organized by Guru Jambheshwar University of Science & Technology, Hisar, Haryana and Sponsored by GIAN-MHRD Government of India. 

  (1- Credit Course, Subject Code: 176016L01, Subject Name: The Finite Element Method in Engineering: Basic Procedure, Applications, and Current Research Topics, Duration: 18th Dec to 22nd Dec 2017, Theory hrs: 14.5, Tutorial hrs: 9, Obtained Grade: B+, Course Instructor: Prof. Singiresu S. Rao, University of Miami, Florida, USA.) 

• Two Week (online) Faculty Development Program on BioMathematics organized by Department of Mathematics, PGDAV College, University of Delhi in Collaboration with Mahatma Hansraj Faculty Development Centre, A center of MOE, Government of India Under Pandit Madan Mohan Malaviya National Mission on Teacher and Teaching during 15-28 October 2020. 

• One week online short term training programme (STTP) on ‘Fractonal Calculus: Foundations to Frontiers’ (FCFF 2020), in association with Centre for Continuing Education (CCE), organized by Department of Applied Mathematics and Humanities, S.V. National Institute of Technology, Surat, Gujarat during 28 December 2020 to 01 January 2021.       

• International Workshop on “Fractional Derivative: Theory & Computations with Applications (FDTCA 2020)” held at Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi during November 12-14, 2021 in online mode. 

• A two-day online workshop on ‘Mathematical Ecology and Epidemiology’ sponsored by SERB and organized by the Department of Mathematics, Indian Institute of Technology Indore during 17-18 June 2022.  

• GUJCOST sponsored One-Week Online Short-Term Training Programme (STTP) on ‘Solutions of Differential Equations using Numerical Methods (SDENM-2022)’ organized by the Department of Mathematics, School of Technology (SoT), Pandit Deendayal Energy University Gandhinagar, Gujarat during December 19-23, 2022

• One Week Short Term Training Program on Mathematical Modelling and Simulation Organized by Department of Mathematics, Pandit Deendayal Petroleum University in association with Forum for Interdisciplinary Mathematics (FIM) during 03-07 June 2019.  

• AICTE Approved and Sponsored SDP on Mathematical Applications in Engineering Profession Conducted by General Department (Mathematics Unit), L.J. Institute of Engineering & Technology, Ahmedabad, Gujarat, India during 21st June- 2nd July 2010.

Delivered Contributory/Invited talk

• Delivered an Invited Talk on Computational Modeling of Calcium Dynamics for Cholangiocyte Cells Based on Caputo Fractional Derivative at the International Conference on Computational Modeling and Sustainable Energy (ICCMSE 2023) organized by the Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, India durong December 15-17, 2023. 

• Application of Computational Mathematics for Science and Engineering, delivered a contributory talk on the School of Advanced Science and Languages, VIT Bhopal, University during 22-23 September 2018.   

• The Role of Buffers on Cytosolic Calcium Concentration Distribution in Parkinson’s Disease: A Two Dimensional Fractional Approach, Euro-India International Conference on Experimental and Clinical Medicine (ICECM-2017) organized by International and Inter University Centre for Nanoscience and Nanotechnology (IIUCNN), Mahatma Gandhi University, Kottayam, Kerala, India during 10-12 November 2017. 

• Analytical Solution of Fractional Diffusion, National Seminar on ‘World of Mathematical Modelling’, organized by the Institute of Advanced Research, Gandhinagar in association with Forum for Interdisciplinary Mathematics (FIM), on 12- 13 April 2017.

• Application of Laplace Transform in Engineering’ one day National Seminar on ‘Mathematics and its Applications’, organized by the Department of Mathematics & Computer Science in association with Forum for Interdisciplinary Mathematics (FIM) Gujarat Chapter held at Pandit Deendayal Petroleum University, Gandhinagar on 19 November 2016. 

• Excellence of center award from LJIET 2013

• Main Coordinator of Renewable Center of Excellence- RECOE

• Project of Solar Powered Tree in campus – generate power

• Project of Oxygen concentration in campus during covid

• Project of Roti maker with using of IOT