Correction to: Shortening the delivery time of proton therapy by real-time compe

Xiang-Shang Sun· Yong-Jiang Li · Jun-Ya Liu · Wen-Tao Liao ·Chao Wu · Yue-Hu Pu

The original article can be found online at https://doi.org/10.1007/s41365-022-01051-9.

✉Yue-Hu Pu puyuehu@163.com

1 Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China

2 University of Chinese Academy of Sciences,Beijing 100049,China

3 Shanghai APACTRON Particle Equipment Co., Ltd,Shanghai 201800, China

4 Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201210, China

5 Medical Equipment Innovation Research Center,West China Hospital, Sichuan University, Chengdu 610041, China

Published online: 12 August 2022

© The Author(s) 2022

Correction to: Nucl Sci Tech (2022) 33:73 https://doi.org/10.1007/s41365-022-01051-9

In equation (1) of the original article, the square root sign should across cover all subsequent items.The original equation (1)

should be corrected as

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