1. PhD Thesis : Spectral Methods for Hamiltonian Systems and Their Applications
3. Some New Developments of Polynomial Preserving Recovery on Hexagon and Chevron Patterns , H. Pan, Z. Zhang and L. Zhao (Corresponding author), International Journal of Numerical Analysis and Modeling, Volume 17, Number 3, Copyright transferred 02 April 2020.
5. Feasibility study: spot-scanning proton arc therapy (SPArc) for left-sided whole breast radiotherapy , S. Chang, G. Liu, L. Zhao and X.Ding etc, Radiation Oncology, Published 7 Oct 2020.
6.Investigation of instability in ultrasonic welding under parametric excitation , Y. He and L. Zhao, The International Journal of Electrical Engineering & Education, Published online Jan 14 2021.
7. Is proton beam therapy ready for single fraction spine SBRS? – a feasibility study to use spot-scanning proton arc (SPArc) therapy to improve the robustness and dosimetric plan quality , G. Liu, X. Li, A. Qin, J. Zhou, W. Zheng, L. Zhao and X.Ding ect, Acta Oncologica, Published online 27 Feb 2021.
8. Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources , H. Li, X. Wan, P. Yin and L. Zhao, Journal of Computational and Applied Mathematics, Available online 3 March 2021.
9. Lung Stereotactic Body Radiotherapy (SBRT) Using Spot-Scanning Proton Arc (SPArc) Therapy: A Feasibility Study, G. Liu, L.Zhao and X.Ding etc, Frontiers in Oncology, Accepted 26 Mar 2021.
10. Two-parameter localization and related phase transition for a Schrodinger operator in balls and spherical shells, C.Jia, Z.Zhang and L.Zhao (Corresponding author), Journal of Mathematical Physics, Accepted on Aug 16 2021.
11. Building a precise machine-specific time structure of the spot and energy delivery model for a cyclotron-based proton therapy system , L.Zhao et al, Physics in Medicine & Biology, Accepted online 14 December 2021.
12. Developing an accurate model of spot-scanning treatment delivery time and sequence for a compact superconducting synchrocyclotron proton therapy system , L.Zhao et al, Radiation Oncology, Published: 07 May 2022.
13. Treatment planning in arc proton therapy: Comparison of several optimization problem statements and their corresponding solvers , S.Wuycken, M.Saint-Guillainb, G.Janssens, L.Zhao et al, Computers in Biology and Medicine, Available online 13 May 2022.
14. Redefine the Role of Spot-Scanning Proton Beam Therapy for the Single Brain Metastasis Stereotactic Radiosurgery , S. Chang, G. Liu, L. Zhao et al, Frontiers in Oncology, 19 May 2022.
15. An evolutionary optimization algorithm for proton arc therapy , L.Zhao (Corresponding author) et al, Physics in Medicine & Biology, Accepted Manuscript online 25 July 2022.
16. Establish a comprehensive plan robustness evaluation platform for intensity modulated proton therapy for bilateral head and neck cancer based on the daily cone-beam computed tomography: a dose accumulation study between the PTV based IMPT (PTV-IMPT) and CTV based robust optimized IMPT (ro-IMPT) planning strategies , W. Wang, A. Qin, X. Li, J. Zhou, D. Yan, G. Liu, L. Zhao et al, Therapeutic Radiology and Oncology, Published: 30 September 2022.
17. Bi-criteria Pareto optimization to balance irradiation time and dosimetric objectives in proton arc therapy , S. Wuycken, L. Zhao et al, Physics in Medicine & Biology, Accepted online 24 November 2022.
18. Introduce a rotational robust optimization framework for Spot-scanning ProtonArc(SPArc) therapy , S. Chang, G. Liu, L.Zhao et al, Physics in Medicine & Biology, Accepted online 2 Dec 2022.
19. Ultra-fast, high spatial resolution single-pulse scintillation imaging of synchrocyclotron pencil beam scanning proton delivery , M. Clark, X. Ding, L. Zhao et al, Physics in Medicine & Biology, Accepted online 30 Jan 2023.
20. The first direct method of spot sparsity optimization for proton arc therapy , L.Zhao et al, Acta Oncologica, Published online 2 Feb 2023.
21.A novel ultra-high dose rate proton therapy technology: spot-scanning proton arc therapy FLASH (SPLASH) , G. Liu, L. Zhao et al, Red Journal, Published: May 15, 2023.
22. The first investigation of spot-scanning proton arc (SPArc) delivery time and accuracy with different delivery tolerance window settings , G. Liu, L. Zhao (equal contribute to first author) et al, Physics in Medicine & Biology, Accepted online 29 Sep 2023.
23. Development of a standalone delivery sequence model for proton arc therapy , G. Liu, L. Zhao (equal contribute to first author) et al, Medical Physics, published 08 Dec 2023.
24. First direct machine-specific parameters incorporated in Spot-scanning Proton Arc (SPArc) optimization algorithm , G. Liu, Q. Fan, L. Zhao et al, Medical Physics, published 10 Feb ,2024.
25. Optimizing linear energy transfer distribution in intensity-modulated proton therapy using the alternating direction method of multipliers , Q. Fan, X. Zhang, R. Dao, Y. Qian, L. Zhao et al, Frontiers in Oncology, 27 February 2024.
26. The first investigation of the dosimetric perturbations from the spot position errors in spot-scanning arc therapy (SPArc) , P. Liu, L. Zhao et al, Physics in Medicine & Biology, Accepted online 13 June 2024.
27. A novel fast robust optimization algorithm for intensity-modulated proton therapy with minimum monitor unit constraint , Q. Fan, L. Zhao et al, Medical Physics, published 05 July, 2024.
28. Particle arc therapy: Status and potential , S. Mein...... L. Zhao and X.Ding, Green Journal, Available online 14 July 2024.
29. Explore the feasibility of using spot-scanning proton arc therapy for a synchrotron accelerator-based proton therapy system – A simulation study , X. Cong, G. Liu, P. Liu, L. Zhao et al, Journal of Applied Clinical Medical Physics, published 17 Sep 2024.
30. Investigate potential clinical benefits and linear energy transfer sparing utilizing proton arc therapy for hepatocellular carcinoma , P. Liu, X. Cao, R. Dalfsen, M. Soukup, J. Dolan, L. Zhao et al, Physica Medica, Availble online 25 Sep 2024.
31. Technical note: Optimizing spot-scanning proton arc therapy with a novel spot sparsity approach , Q. Fan, L. Zhao (equal contribute to first author) et al, Medical Physics, published 15 Nov 2024.
32. Feasibility of Utilizing Spot-Scanning Proton Arc (SPArc) for Whole-Lung Irradiation: A Case Report , P. Liu, L. Zhao et al, International Journal of Particle Therapy, Available online 22 May 2025.