This page contains

  • Provisional patents/published/submitted papers
  • Conference abstract/proceedings
  • Preprints and technical reports

Provisional patents/Publications/Preprints/Technical Reports


Provisional patents

  1. Systems and methods for removal of extra-column band broadening in chromatographic peaks, US Provisional Patent, ID:63/506,895, 2023 (Daniel W. Armstrong, M. Farooq Wahab, Troy T. Handlovic, and S. Roy).

Peer reviewed published journal articles


  1. Solving advanced task-specific problems in measurement sciences with generative AI (ChatGPT-4), Analytical Chemistry, 2024 (M. Farooq Wahab, Troy Handlovic, S. Roy, Ryan Jacob Burk, Daniel Armstrong). [journal]
  2. An evolutionary differential game for regulating the role of monoclonal antibodies in treating signaling pathways in esophageal cancer, Royal Society Open Science, 2024 (Mesfer Alajmi and S. Roy). [journal]
  3. Second-order modified nonstandard explicit Euler and explicit Runge-Kutta methods for n-dimensional autonomous differential equations, Computation, 2024 (Fawaz Alalhareth, Madhu Gupta, Hristo Kojouharov and S. Roy). [journal]
  4. Liouville optimal control framework in prostate cancer, Applied Mathematical Modeling, 134:417-433, 2024 (Hussein Edduweh and S. Roy). [journal]
  5. A new approach to high contrast and resolution reconstruction in quantitative photoacoustic tomography, Journal of Computational and Applied Mathematics, 451:116065, 2024 (Anwesa Dey, Alfio Borzi and S. Roy). [journal]
  6. Numerical approximation of kinetic Fokker-Planck equations with specular reflection boundary conditions, Journal of Computational Physics, 503:112841, 2024 (S. Roy and Alfio Borzi). [journal]
  7. A robust optimal control framework for controlling aberrant RTK signaling pathways in esophageal cancer, Journal of Mathematical Biology, 88(14), 2023 (S. Roy, Zui Pan, Naif Abu Qarnayn, Mesfer Alajmi, Ali Alatwi, Asma Alghamdi, Ibrahem Alshaoosh, Zahra Asiri, Berlinda Batista, Shreshtha Chaturvedi, Olusola Dehinsilu, Hussein Edduweh, Rodina El-Adawy, Emran Hossen, Bardia Mojra, Jashmon Rana) (with all students of my MATH 5392 class). [journal]
  8. Radon transform with Gaussian beam: Theoretical and numerical reconstruction scheme, Applied Mathematics and Computation, 452:128024, 2023 (S. Roy, Gihyeon Jeon and Sunghwan Moon). [journal]
  9. Automated regularized deconvolution for eliminating extra-column effects in fast high-efficiency separations, Analytical Chemistry, 95(29):11028-11036, 2023 (Troy T. Handlovic, M. Farooq Wahab, S. Roy, Ronald E. Brown and Daniel W. Armstrong). [journal]
  10. A numerical scheme to solve Fokker-Planck control collective-motion problem, Mathematics and Computers in Simulation, 225:1056-1071, 2023 (Muhammad Munir Butt and S. Roy). [journal]
  11. On the parameter estimation of Box-Cox transformation cure model, Statistics in Medicine, 1-19, 2023 (Suvra Pal and S. Roy). [journal]
  12. Second-order modified positive and elementary stable nonstandard numerical methods for n-dimensional autonomous differential equations, Mathematical Methods in the Applied Sciences, 2023 (Fawaz Alalhareth, Madhu Gupta, S. Roy and Hristo Kojouharov). [journal]
  13. A new nonlinear sparse optimization framework in ultrasound-modulated optical tomography, IEEE Transactions on Computational Imaging, 8:1-11, 2022 (S. Roy). [journal]
  14. Geometric characterization of polymeric capillaries, Analytica Chimica Acta, 1229:340345, 2022 (Enas N. Yousef, Purnendu K. Dasgupta, Seth A Horn, Phillip Shelor and S. Roy). [journal]
  15. A Fokker-Planck feedback control framework for optimal personalized therapies in colon cancer-induced angiogenesis, Journal of Mathematical Biology, 84:23, 2022 (S. Roy, Zui Pan and Suvra Pal). [journal]
  16. Developing a mathematical model of intracellular calcium dynamics for evaluating combined anticancer effects of Afatinib and RP4010 in esophageal cancer, International Journal of Molecular Sciences, 23(3):1763, 2022 (Yan Chang, Marah Funk, S. Roy, Elizabeth Stephenson, Sangyong Choi, Hristo Kojouharov, Benito Chen and Zui Pan). [journal]
  17. A numerical investigation of Brockett's ensemble optimal control problems, Numersiche Mathematik, 149:1-42, 2021 (Jan Bartsch, Alfio Borzi, Francesco Fanelli and S. Roy). [journal]
  18. Numerical inversion and uniqueness of a spherical radon transform restricted with a fixed angular span, Applied Mathematics and Computation, 408:126338, 2021 (Rim Gouia-Zarrad, S. Roy and Sunghwan Moon). [journal]
  19. Second-order modified nonstandard Runge-Kutta and theta methods for one-dimensional autonomous differential equations, Applications and Applied Mathematics, 16(2):788-803, 2021 (Madhu Gupta, John M. Slezak, Fawaz Alalhareth, S. Roy and Hristo Kojouharov). [journal]
  20. Store-operated calcium channels as drug target in gastroesophageal cancers, Frontiers in Pharmacology, 12:944, 2021 (Yan Chang, S. Roy and Zui Pan). [journal]
  21. On the estimation of destructive cure rate model: A new study with exponentially weighted Poisson competing risks, Statistica Neerlandica, 75(3):324-342, 2021 (Suvra Pal and S. Roy). [journal]
  22. Sparsity-based nonlinear reconstruction of optical parameters in two-photon photoacoustic computed tomography, Inverse Problems, 37:044001, 2021 (Madhu Gupta, Rohit Kumar Mishra and S. Roy). [journal]
  23. A second-order nonstandard theta method for autonomous differential equations, Applied Mathematics Letters, 112:106775, 2020 (Hristo Kojouharov, S. Roy, Madhu Gupta, Fawaz Alalhareth and John M Slezak). [journal]
  24. Sparse reconstruction of log-conductivity in current density impedance tomography, Journal of Mathematical Imaging and Vision, 62:189-205, 2020 (Madhu Gupta, Rohit Kumar Mishra and S. Roy). [journal]
  25. A new non-linear conjugate gradient algorithm for destructive cure rate model and a simulation study: illustration with negative binomial competing risks, Communications in Statistics - Simulation and Computation, 2020 (Suvra Pal and S. Roy). [journal]
  26. How to place an obstacle having a dihedral symmetry centered at a given point inside a disk so as to optimize the fundamental Dirichlet eigenvalue, Journal of Optimization Theory and Applications, 184(1):162-187, 2020 (Anisa M. H. Chorwadwala and S. Roy). [journal]
  27. A theoretical investigation of Brockett's ensemble optimal control problems, Calculus of Variation and Partial Differential Equations, 58:162, 2019 (Jan Bartsch, Alfio Borzi, Francesco Fanelli and S. Roy). [journal]
  28. A Fokker-Planck approach to control collective motion, Computational Optimization and Applications, 69(2):423--459, 2018 (S. Roy, Mario Annunziato, Alfio Borzi and Christian Klingenberg). [journal]
  29. Image reconstruction from radially incomplete spherical Radon data, European Journal of Applied Mathematics, 29(3): 470--493, 2018 ( Gaik Ambartsoumian, Rim-Gouia-Zarrad, Venkateswaran P. Krishnan and S. Roy). [journal]
  30. A new optimisation approach to sparse reconstruction of log-conductivity in acousto-electric tomography, SIAM Journal of Imaging Sciences, 1(2):1759--1784, 2018 (S. Roy and Alfio Borzi). [journal]
  31. A fully non-linear optimization approach to acousto-electric tomography, Inverse Problems, 34:104004, 2018 (Bolaji Adesokan, Kim Knudsen, Venkateswaran P. Krishnan and S. Roy). [journal]
  32. Pedestrian motion constrained by FP-constrained Nash games, Royal Society Open Science, 4(9):170648, 2017 (S. Roy, Alfio Borzi and Abderrahmane Habbal). [journal]
  33. Numerical investigation of a class of Liouville control problems, Journal of Scientific Computing, 73(1):178-202 , 2017 (S. Roy and Alfio Borzi). [journal]
  34. A variational approach to estimate incompressible fluid flows, Proceedings of Mathematical Sciences, Springer, 127(1):175-201, 2017 (Praveen C., S. Roy and A. S. Vasudeva Murthy). [journal]
  35. Numerical inversion of a broken ray transform arising in single scattering optical tomography, IEEE Transactions on Computational Imaging, 2(2):166-173, 2016 (Gaik Ambartsoumian and S. Roy). [journal]
  36. A Fokker-Planck feedback control-constrained approach for modelling crowd motion, Journal of Computational and Theoretical Transport, 45(6):442-458, 2016 (S. Roy, Mario Annunziato and Alfio Borzi). [journal]
  37. A variational approach to optical flow estimation of unsteady incompressible flows, International Journal of Advances in Engineering Sciences and Applied Mathematics, Springer, 7(3):149-167, 2015 (S. Roy, Praveen C. and A. S. Vasudeva Murthy). [journal]
  38. An efficient numerical algorithm for Radon transform inversion with applications in ultrasound imaging. Journal of Mathematical Imaging and Vision, 53:78-91, 2015 (S. Roy, Venkateswaran P. Krishnan, Praveen C. and A. S. Vasudeva Murthy). [journal]
  39. Reconstruction of a class of fluid flows by variational methods and inversion of integral transforms in tomography, Ph.D. thesis, Tata Institute of Fundamental Research, 2015 [pdf]

Peer reviewed book chapters

  1. Higher-order modified nonstandard finite difference methods for autonomous dynamical systems, Contemporary Mathematics (CONM) book series: Mathematical and Computational Modeling of Phenomena Arising in Population Biology and Nonlinear Oscillations, (in print), 2023 (Fawaz Alalhareth, Madhu Gupta, Hristo Kojouharov and S. Roy).
  2. Optimal personalized therapies in colon-cancer induced immune response using a Fokker-Planck framework, Mathematics and Computer Science Volume 2: Industrial Applications, Sharmistha Ghosh, Niranjanamurthy M, Krishanu Deyasi, Biswadip Basu Mallik, Santanu Das Editors., Wiley-Scrivener, 33-48, 2023 (S. Roy and Suvra Pal).[journal]
  3. Placement of an obstacle for optimizing the fundamental eigenvalue of divergence form elliptic operators, Variational Views in Mechanics, P. M. Mariano Editors., series "Advances in Continuum Mechanics", Birkhauser-Springer, Boston, 123:157-183, 2021 (Anisa M. H. Chorwadwala and S. Roy). [journal]

Submitted articles


  1. A SIMPL model of phage-bacteria interactions accounting for mutation and competition, 2024 (Carli Peterson, Darsh Gandhi, Austin Carlson, Aaron Lubkemann, Emma Richardson, John Serralta, Michael S Allen, S. Roy, Christopher M Kribs and Hristo V Kojouharov).
  2. Optimal control of the damped viscous wave equation, 2024 (Alfio Borzi and S. Roy).
  3. A robust optimal control framework for controlling the viral load in HIV, 2024 (Asma Alghamdi and S. Roy).
  4. A differential game framework for modeling and control of colon cancer, 2024 (Mesfer Alajmi and S. Roy).
  5. Learning end-to-end inversion of circular Radon transforms in the partial radial setup, 2024 (Deep Ray and S. Roy). [arxiv]

Conference Proceedings (Peer-reviewed)


  1. Higher-order modified nonstandard finite difference methods for autonomous dynamical systems, BIOMATH 2023 2023 (Fawaz Alalhareth, Madhu Gupta, Hristo Kojouharov and S. Roy).
  2. A Fokker-Planck framework for parameter estimation and sensitivity analysis in colon cancer, AIP Conference Proceedings 2522:070005 2022 (S. Roy, Suvra Pal, Achyuth Manoj, Susanth Kakarla, Juan Villegas and Mesfer Alajmi). [journal]
  3. Second-order nonstandard explicit Euler method, AIP Conference Proceedings 2020 (Madhu Gupta, John M. Slezak, Fawaz Alalhareth, S. Roy and Hristo Kojouharov). [journal],
  4. A sparsity-based Fokker-Planck optimal control framework for modeling traffic flows, AIP Conference Proceedings 2020 (S. Roy). [journal],

Conference Proceedings (Not peer-reviewed)


  1. Automatic Segmentation and 3D Visualization of Pelvic Mesh Using Mathematical Modelling and Machine Learning Techniques in MRI, Journal of Urology 203(Supplement 4): e605-e605 2020 (Gaik Ambartsoumian, S. Roy, Gaurav Khatri and Philippe Zimmern). [journal],
  2. Automatic Segmentation and 3D Visualization of Pelvic Mesh Using Mathematical Modelling and Machine Learning Techniques in MRI, ICS, Gothenberg 2019 (Gaik Ambartsoumian, S. Roy, Gaurav Khatri and Philippe Zimmern). [website],
  3. Bubble drag coefficient formulation and stability analysis for multiphase-turbomachinery problems (Shear flow/breakup GE2), Modeling week and study group meeting on industrial problems, Supercomputer education research center 58-73 [pdf], 2011 (Gaurav Sharma and S. Roy).
  4. Report on the problem of fish feeding. Modeling week and study group meeting on industrial problems, Supercomputer education research center, 32-55 [pdf], 2011 ( S. Roy).

Technical reports


  1. Personalized prediction of treatment response for peritoneal carcinomatosis via a hybrid mechanistic/AI approach, Technical Report, Advancing Cancer Biology at the Frontiers of Machine Learning and Mechanistic Modeling, NCI-NIH Innovation Lab, 2020 (Carlos Chan, Mahsa Dabagh, Dave Fuller, Sara Gosline and S. Roy).
  2. Review of Handbook of Numerical Methods for Hyperbolic Problems: Basic and Fundamental Issues (Remi Abgrall and Chi-Wang Shu), SIAM Reviews, 60(3):768-771, , 2018 (S. Roy).