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Research Articles

Topological Properties of Curcumin and Hyaluronic Acid Conjugated Molecular Structure: An Anti-Cancer Drug

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Pages 219-232 | Received 19 Jan 2021, Accepted 23 Nov 2021, Published online: 17 Dec 2021

References

  • R. Gozalbes, J. P. Doucet, and F. Derouin, “Application of Topological Descriptors in QSAR and Drug Design: History and New Trends,” Current Drug Targets. Infectious Disorders 2, no. 1 (2002): 93–102.
  • P. J. Hansen and P. C. Jurs, “Chemical Applications of Graph Theory. Part I. Fundamentals and Topological Indices,” Journal of Chemical Education 65, no. 7 (1988): 574.
  • D. H. Rouvray and R. B. King, Topology in Chemistry: Discrete Mathematics of Molecules (USA: Elsevier, 2002).
  • S. Klavžar and I. Gutman, “A Comparison of the Schultz Molecular Topological Index with the Wiener Index,” Journal of Chemical Information and Computer Sciences 36, no. 5 (1996): 1001–3.
  • G. Rcker and C. Rcker, “On Topological Indices, Boiling Points, and Cycloalkanes,” Journal of Chemical Information and Computer Sciences 39, no. 5 (1999): 788–802.
  • F. M. Brückler, T. Došlić, A. Graovac, and I. Gutman, “On a Class of Distance-Based Molecular Structure Descriptors,” Chemical Physics Letters 503, no. 4-6 (2011): 336–8.
  • H. Wiener, “Structural Determination of Paraffin Boiling Points,” Journal of the American Chemical Society 69, no. 1 (1947): 17–20.
  • J. R. Platt, “Influence of Neighbor Bonds on Additive Bond Properties in Paraffins,” The Journal of Chemical Physics 15, no. 6 (1947): 419–20.
  • M. Randic, “Characterization of Molecular Branching,” Journal of the American Chemical Society 97, no. 23 (1975): 6609–15.
  • B. Bollobs and P. Erdos, “Graphs of Extremal Weights,” Ars Combinatoria 50 (1998): 225–33.
  • D. Ami, D. Belo, B. Luci, S. Nikoli, and N. Trinajsti, “The Vertex-Connectivity Index Revisited,” Journal of Chemical Information and Computer Sciences 38, no. 5 (1998): 819–22.
  • L. Zhong, “The Harmonic Index for Graphs,” Applied Mathematics Letters 25, no. 3 (2012): 561–6.
  • S. Ediz, M. R. Farahani, and M. Imran, “On Novel Harmonic Indices of Certain Nanotubes,” International Journal of Advanced Biotechnology and Research 8, no. 4 (2017): 87–92.
  • S. Nikoli, G. Kovaevi, A. Milievi, and N. Trinajsti, “The Zagreb Indices 30 Years after,” Croatica Chemica Acta 76, no. 2 (2003): 113–24.
  • K. C. Das and I. Gutman, “Some Properties of the Second Zagreb Index,” MATCH Communications in Mathematical and in Computer Chemistry 52, no. 1 (2004): 103–112.
  • D. Vukicevic, I. Gutman, B. Furtula, V. Andova, and D. Dimitrov, “Some Observations on Comparing Zagreb Indices,” MATCH Communications in Mathematical and in Computer Chemistry 66 (2011): 627–45.
  • Z. Raza and E. K. Sukaiti, “M-Polynomial and Degree Based Topological Indices of Some Nanostructures,” Symmetry 12, no. 5 (2020): 831.
  • J. B. Liu, Z. Raza, and M. Javaid, “Zagreb Connection Numbers for Cellular Neural Networks,” Discrete Dynamics in Nature and Society 2020 (2020): 1–8.
  • Z. Raza, “The Expected Values of Arithmetic Bond Connectivity and Geometric Indices in Random Phenylene Chains,” Heliyon 6, no. 7 (2020): e04479.
  • Y. M. Chu, A. Rauf, M. Ishtiaq, M. K. Siddiqui, and M. H. Muhammad, “Topological Properties of Polycyclic Aromatic Nanostars Dendrimers,” Polycyclic Aromatic Compounds (2020): 1–18.
  • A. Rauf, M. Ishtiaq, M. K. Siddiqui, and R. Andleeb, “Topological Properties of Doxorubicin Conjugated PEG-PAsp Copolymer Molecular Structure Used in Cancer Treatment,” Polycyclic Aromatic Compounds (2020): 1–14.
  • Z. Raza, “Zagreb Connection Indices for Some Benzenoid Systems,” Polycyclic Aromatic Compounds (2020): 1–14.
  • J. Hao, “The Third Geometric-Arithmetic Index of TUC4C8 (S) Nanotube,” Journal of Computational and Theoretical Nanoscience 12, no. 8 (2015): 1984–5.
  • M. Chellali, T. W. Haynes, S. T. Hedetniemi, and T. M. Lewis, “On Ve-Degrees and Ev-Degrees in Graphs,” Discrete Mathematics 340, no. 2 (2017): 31–8.
  • A. Rauf, M. Ishtiaq, H. Faraz Qaiser, A. Aslam, and K. Anoh Yannick, “Degree-Based Topological Properties of Molecular Polymeric Networks Composed by Sierpinski Networks,” Mathematical Problems in Engineering 2021 (2021): 1–13.
  • B. Horoldagva, K. C. Das, and T. A. Selenge, “On Ve-Degree and Ev-Degree of Graphs,” Discrete Optimization 31 (2019): 1–7.
  • E. D. Z. Suleyman, “A New Tool for QSPR Researches: Ev-Degree Randic Index,” Celal Bayar University Journal of Science 13, no. 3 (2017): 615–8.
  • B. Sahin and S. Ediz, “On Ev-Degree and Ve-Degree Topological Indices,” Iranian Journal of Mathematical Chemistry 9, no. 4 (2018): 263–77.
  • S. Ediz, “On Ve-Degree Molecular Topological Properties of Silicate and Oxygen Networks,” International Journal of Computing Science and Mathematics 9, no. 1 (2018): 1–12.
  • M. Ishtiaq, A. Rauf, Q. Rubbab, M. K. Siddiqui, A. U. Rehman, and M. Cancan, “A Degree Based Topological Study of Two Carbon Nanosheets VC 5 C 7 and HC 5 C 7,” Polycyclic Aromatic Compounds (2021): 1–21.
  • A. Rauf, M. Ishtiaq, and M. K. Siddiqui, “Topological Study of Hydroxychloroquine Conjugated Molecular Structure Used for Novel Coronavirus (COVID-19) Treatment,” Polycyclic Aromatic Compounds (2021): 1–17.
  • M. Cancan, “On Ev-Degree and Ve-Degree Topological Properties of Tickysim Spiking Neural Network,” Computational Intelligence and Neuroscience 2019 (2019): 1–7.
  • Z. Q. Cai, A. Rauf, M. Ishtiaq, and M. K. Siddiqui, “On Ve-Degree and Ev-Degree Based Topological Properties of Silicon Carbide Si2C3-II [p, q],” Polycyclic Aromatic Compounds (2020): 1–15.
  • J. Zhang, M. K. Siddiqui, A. Rauf, and M. Ishtiaq, “On Ve-Degree and Ev-Degree Based Topological Properties of Single Walled Titanium Dioxide Nanotube,” Journal of Cluster Science 32, no. 4 (2021): 821–32.
  • Y. M. Chu, M. K. Siddiqui, M. F. Hanif, A. Rauf, M. Ishtiaq, and M. H. Muhammad, “On Ve-Degree and Ev-Degree Based Topological Properties of H-Naphtalenic Nanotube,” Polycyclic Aromatic Compounds (2020): 1–13.
  • A. Goel, A. B. Kunnumakkara, and B. B. Aggarwal, “Curcumin as Curecumin: From Kitchen to Clinic,”Biochemical Pharmacology 75, no. 4 (2008): 787–809.
  • K. Nagahama, T. Utsumi, T. Kumano, S. Maekawa, N. Oyama, and J. Kawakami, “Discovery of a New Function of Curcumin Which Enhances Its Anticancer Therapeutic Potency,” Scientific Reports 6, no. 1 (2016): 1–14.
  • M. A. Tomeh, R. Hadianamrei, and X. Zhao, “A Review of Curcumin and Its Derivatives as Anticancer Agents,” International Journal of Molecular Sciences 20, no. 5 (2019): 1033.
  • M. Sharma, K. Sahu, S. P. Singh, and B. Jain, “Wound Healing Activity of Curcumin Conjugated to Hyaluronic Acid: In Vitro and in Vivo Evaluation,” Artificial Cells, Nanomedicine, and Biotechnology 46, no. 5 (2018): 1009–17.
  • J. F. Zhong, A. Rauf, M. Naeem, J. Rahman, and A. Aslam, “Quantitative Structure-Property Relationships (QSPR) of Valency Based Topological Indices with Covid-19 Drugs and Application,” Arabian Journal of Chemistry 14, no. 7 (2021): 103240.
  • A. Rauf, M. Naeem, and S. Bukhari, “Quantitative Structure-Property Relationship (QSPR) of Ev-Degree and Ve-Degree Based Topological Indices with Physico-Chemical Properties of Benzene Derivatives and Application,” International Journal of Quantum Chemistry (2021): 1-21. doi: 10.1002/qua.26851.
  • I. Gutman, B. Rusci, N. Trinajsti, and C. F. Wilcox, Jr.“Graph Theory and Molecular Orbitals. XII. Acyclic Polyenes,” The Journal of Chemical Physics 62, no. 9 (1975): 3399–405.
  • V. Lokesha and T. Deepika, “Symmetric Division Deg Index of Tricyclic and Tetracyclic Graphs,” International Journal of Scientific and Engineering Research 7, no. 5 (2016): 53–5.

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