Theoretical Study of Energy Loss of Proton in Human Tissues

Musaab I. Mohammed

doi:10.30526/37.4.3636

Authors

Musaab I. Mohammed General Directorate of Education of Salah Uddin, Salah Uddin, Iraq. https://orcid.org/0000-0003-1546-0758

DOI:

https://doi.org/10.30526/37.4.3636

Keywords:

Total stopping power of protons, Proton energy loss, Human tissue, Bethe-Bloch equation, Bragg’s rule, P-Star

Abstract

In this paper, a theoretical study was carried out to calculate the proton energy loss in human tissues (Adipose tissue, Blood, Bone (Compact), Bone (Cortical), Brain, Eye lens, Lung, Skin, and Testicles) within the energy range of 1 MeV to 1000 MeV. We calculated the total stopping power for each tissue element separately using the Bethe-Bloch equation, and then used Bragg's rule for compounds to determine the tissue's total stopping power. The total stopping power is directly proportional to the atomic number divided by the target material's atomic mass (Z/A) and target material density (ρ), and inversely proportional to the target material's mean excitation energy (I) and proton energy (E). The results indicate that the stopping power was highest in the adipose tissue, and the lowest value was in the bone (cortical) at the same proton energy. We performed all calculations using the MATLAB program. We found a good match between the obtained results and the value of the P-Star code.

References

Hussien, A.H. Stopping Power for Carbon, Oxygen and Proton Interacting with Adipose Tissue, Skeletal, Muscle and Brain Using Different Formulas. European Journal of Mprimarycular & Clinical Medicine 2020, 7, 494-503. https://doi:a7d098333ed6efecf625158e d f0cdd04

Hadi, S.M.; Bashair M.S. Theoretical Study for the Calculation of Proton Range in Human Body Tissues. Iraqi Journal of Science 2021, 23, 3392-3399.‏ https://doi.org/10.24996/ijs.2021 .62.9(SI).10

Bichsel, H.; Heinrich S. The interaction of radiation with matter. Particle Physics Reference Library: Detectors for Particles and Radiation 2020, 2, 5-44‏ https://doi.org/10.1007/978-3-030-35318-6_2

Semwal, M. Khan's the physics of radiation therapy. Journal of Medical Physics 2020, 2, 134-135. ‏ https://doi.org/10.4103%2Fjmp.JMP1720

Ahmed, I.; Hridita, N.; Hriday, D. Stopping power and range calculations of protons in human tissues. Baghdad Science Journal 2020, 4, 1223-1223.‏ http://dx.doi.org/10.21123/bsj.2020.17.4. 1223

El-Ghossain, M.O. Proton Interaction with Water and Human Body Parts Calculations of Range and Stopping Power. International Journal of Applied Physics 2021, 8, 32-35. https://doi.org/10.144 45/23500301/IJAP-V8I1P105

Almutairi, A.S.; Khalda, T.O. Calculation of Mass Stopping Power and Range of Protons as Well as Important Radiation Quantities in Some Biological Human Body parts (Water, Muscle, Skeletal and Bone, Cortical). International Journal of Medical Physics 2022, 2, 99-112.‏ https://doi.org/ 10.4236/ijmpcero.2022.112009

El-Ghossain, M.O. Calculations of stopping power, and range of electrons interaction with different material and human body parts. Int J Sci Technol Res 2017, 6(1), 114-8.‏ https://core.ac.uk/download/ pdf/287990709.pdf

Yaqoob, S.N.; Bashair, M.S. Calculation of Stopping Power and Range of Nitrogen Ions with the Skin Tissue in the Energies of (1-1000) MeV. Ibn AL-Haitham Journal for Pure and Applied Sciences 2018, 2, 69-78. https://doi.org/10.30526/31.2.1945

Hadi, H.S.; Rashid, O.K. Stopping Power Calculations of Electron in Six Types of Human Tissue for Energies (20-20000eV). Journal of Kufa-Physics 2017, 1, 23-35.‏ https://doi:index.php/jkp /article/view/7340

Mayles, P.; Nahum, A.E.; Rosenwald, J.C. Handbook of Radiotherapy Physics: Theory and Practice. Taylor & Francis Group 2021, 2, 243-255. https://doi.org/10.1201/9780429201493

El-Ghossain, M.O. Calculations of stopping power, and range of ions radiation (alpha particles) interaction with different materials and human body parts. Int. J. Phys. 2017, 3, 92-98.‏ https://doi: 12.232/ijp/5/3/5/index.html

Osman, H.; Hasan, G. Stopping power and CSDA range calculations of electrons and positrons over the 20 eV–1 GeV energy range in some water equivalent polymer gel dosimeters. Applied Radiation and Isotopes 2022, 179. https://doi.org/10.1016/j.apradiso.2021.110024

Almutairi, A.S.; Khalda, T.O. Mass Stopping Power and Range of Protons in Biological Human Body Tissues (Ovary, Lung and Breast). International Journal of Medical Physics, Clinical Engineering and Radiation Oncology 2021, 1, 48-59.‏ https://doi.org/10.4236/ijmpcero.2022. 111005

Gottschalk, B. Radiotherapy proton interactions in matter. preprint arXiv 2018, 12(3), 45-55. https://doi:arxiv.org/pdf/1804.00022

Newhauser, W.D.; Rui, Z. The physics of proton therapy. Physics in Medicine & Biology 2015, 8, 112-134. https://doi.org/article/10.1088/0031-9155/60/8/R155

Lechner, A. CERN: Particle interactions with matter. CERN Yellow Rep. School Proc. 2018, 5, 47. ‏ https://doi.org/10.23730/CYRSP-2018-005.47

Tandon, P. Interaction of ionizing radiation with matter. Radiation Safety Guide for Nuclear Medicine Professionals. Singapore: Springer Nature Singapore 2022, 12, 21-35.‏ https://doi.org/ 10.1007/ 978-981-19-4518-23

Sharon, M.; Madhuri, S. Interaction of Radiation with Matter. Nuclear Chemistry. Cham: Springer International Publishing 2021, 33, 45-51. https://doi.org/10.1007/978-3-030-62018-9_4

Kadhim, R.O.; Razzag, D.F. Calculation of Protons Stopping Power in Some Organic Compounds for Energies (0.02-1000) MeV. International Journal of Science and Research 2013, 4, 2391-2393. https://doi:archive/v4i6/SUB155828.112

Alshibel, A.; Khalda, T.O. Mass Stopping Power and Range of Alpha Particles in Biological Human Body Tissues (Blood, Brain, Adipose and Bone). Library Journal 2023, 10, 1-17.‏ https://doi.org/ 10.4236/oalib.1110775

Quashie, E.; Alfredo A.C. Electronic stopping power of protons and alpha particles in nickel. Physical Review B 2018, 98, 23. https://doi.org/10.1103/PhysRevB.98.235122

Zeman, E.M.; Eric C.S.; Joel, E.T. Basics of radiation therapy. Abeloff's clinical oncology. Elsevier 2020, 34, 431-460.‏ https://doi.org/10.1016/B978-0-323-47674-4.00027-X

Katsumura, Y.; Hisaaki K. Interactions Between Radiation and Matter. Radiation Applications 2018, 45, 7-14.‏ https://doi.org/10.1007/978-981-10-7350-22

Abd, S.A.; Kadhim, R.O. Calculation of Stopping Power for protons in Biological Human parts. La Prensa Medica Argentina 2020, 106, 1-4. https://doi.org/10.47275/0032-745X-245

Giri, K.; Rupa K. Energy loss of proton beam on ovary tumor. Journal of Nepal Physical Society 2019, 1, 24-29.‏ https://doi.org/10.3126/jnphyssoc.v5i1.26879

Berger, M.J.; Coursey, J.S.; Zucker, M.A.; Chang, J. Stopping power and range tables for electrons, protons, and helium ions, NIST Standard Reference Database 124. National Institute of Standards and Technology (NIST), Physical Measurement Laboratory (PML) 2017, 12, 34-46 https://doi: 11254.56/Star/Text/PSTAR.html

Hadi, S.M.; Bashair M.S. Stopping power and range of proton interaction with Al2O3, ZrO2 and SiO2. AIP Conference Proceedings 2019, 1, 23-36.‏ https://doi.org/10.1063/1.5141441

Van Abbema, J.K. High accuracy proton relative stopping power measurement. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 2018, 436, 99-106.‏ https://doi.org/10.1016/j.nimb.2018.09.015

Jassim, M.K. A Comparative Study for the Proton Electronic Stopping Power of Some Polymers by Using Mathematica, SRIM2013, PSTAR, LibdEdx, and Experimental Databases. Ibn AL-Haitham Journal for Pure and Applied Sciences 2017, 2, 43-53.‏ https://doi.edu.iq/index.ph p/j/article/view/1453/1209

Detwiler, R.S. Compendium of material composition data for radiation transport modeling. No. PNNL-15870-Revision-2. Pacific Northwest National Lab. (PNNL), Richland, WA (United States) 2021, 23, 55-67.‏ https://www.osti.gov/biblio/1782721