Deterministic Parsing Model of the Compound Biological Effectiveness (CBE) Factor for Intracellular ¹⁰Boron Distribution in Boron Neutron Capture Therapy

Shintaro Ishiyama

Quantum Beam Science Directorate, Japan Atomic Energy Agency, Naka-gun, Japan.

DOI: 10.4236/jct.2014.514140                

Abstract

Purpose: In defining the biological effects of the ¹⁰B(n, α)⁷Li neutron capture reaction, we have previously developed a deterministic parsing model to determine the Compound Biological Effectiveness (CBE) factor in Borono-Phenyl-Alanine (BPA)-mediated Boron Neutron Capture Therapy (BNCT). In present paper, we demonstrate that the CBE factor is directly and unambiguously derivable by the new formula for any case of intracellular ¹⁰Boron (¹⁰B) distribution, which is founded on this model for tissues and tumor. Method: To determine the CBE factor, we derive the following new calculation formula founded on the deterministic parsing model with three constants, CBE₀, F, n and the eigen value N_th/N_max.

where, N_th and N_max are the threshold value of boron concentration of N and saturation boron density in tissues and tumor. In order to determine these constants and the eigen values, iterative calculation technique was employed for the CEB factor and N_max data set previously reported. Results and Conclusion: From the iterative calculation results, it is clear that the calculated CBE factor values obtained are almost identical to the original CBE factors and there is a good correlation between the original CBE factors and N_th/N_max, when CBE₀, F and n are given as 0.5, 8 and 3, respectively. These constants provide a better understanding of different types of intracellular¹⁰B distribution.

Keywords

Boron Neutron Capture Therapy, Compound Biological Effectiveness, Borono-Phenyl-Alanine, Tumor, ¹⁰B(n, α)⁷Li

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Bayanov, B., Belov, V., Kindyuk, V., Oparin, E. and Taskaev, S. (2004) Lithium Neutron Producting Target for BINP Accelerator-Based Neutron Source. Applied Radiation and Isotopes, 61, 817-821. http://dx.doi.org/10.1016/j.apradiso.2004.05.032
[2]	Willis, C., Lenz, J. and Swenson, D. (2008) High-Power Lithium Target for Accelerator-Based BNCT. Proceedings of LINAC08, Victoria, MOP063, 223-225.
[3]	Halfon, S., Paul, M., Arenshtam, A., Berkovits, D., Bisyakoev, M., Eliyahu, I., Feinberg, G., Hazenshprung, N., Kijel, D., Nagler, A. and Silverman, I. (2011) High Power Accelerator-Based Boron Neutron Capture with a Liquid Lithium Target and New Applications to Treatment of Infections Diseases. Applied Radiation and Isotopes, 69, 1654-1656. http://dx.doi.org/10.1016/j.apradiso.2011.03.016
[4]	Ishiyama, S., Baba, Y., Fujii, R., Nakamura, M. and Imahori, Y. (2012) In-Situ Vacuum Deposition Technique of Lithium on Neutron Production Target for BNCT. Nuclear Instruments and Methods in Physics Research, B288, 18-22. http://dx.doi.org/10.1016/j.nimb.2012.07.024
[5]	Ishiyama, S., Baba, Y., Fujii, R., Nakamura, M. and Imahori, Y. (2012) Synthesis of Lithium Nitride for Neutron Producton Target of BNCT by In-Situ Lithium Deposition and Ion Implantation. Nuclear Instruments and Methods in Physics Research, B293, 42-47. http://dx.doi.org/10.1016/j.nimb.2012.09.016
[6]	Coderre, J.A., Morris, G.M., Micca, P.L., Fishe, C.D. and Ross, G.A. (1995) Comparative Assessment of Single-Dose and Fractional Boron Neutron Capture Therapy. Radiation Research, 166, 310-317. http://dx.doi.org/10.2307/3578951
[7]	Bath, R.F., Soloway, A.H., Goodman, J.H., Gahbauer, R.A., Gupta, N., Blue, T.E., Yang, W. and Tjarks, W. (2004) Boron Neutron Capture Therapy of Brain Tumors: An Merging Therapeutic Modality 2. Neyrosurgery, 44, 433-451.
[8]	Coderre, J.A. and Morris, G.M. (1999) The Irradiation Biology of Boron Neutron Capture Therapy. Radiation Research, 151, 1-18. http://dx.doi.org/10.2307/3579742
[9]	Morrsi, G.M., Coderre, J.A., Hopewell, J.W., Micca, P.L. and Rezvani, M. (1994) Response of the Skin to Boron Neutron Capture Therapy with p-Boronopenylalanine or Borocaptate Sodium. Radiotherapy & Oncology, 39, 253-259.
[10]	Fukuda, H., Kobayashi, T., Hiratsuka, J., et al. (1989) Estimation of Absorbed Dose in the Covering Skin of Human Melaoma Treated by Boron Capture Therapy. Pigment Cell Research, 2, 365-369. http://dx.doi.org/10.1111/j.1600-0749.1989.tb00222.x
[11]	Kiger, J.L., Kiger III, W.S., Riley, K.J., Binns, P.J., Patel, H., Hopewell, J.W., Harling, O.K., Busse, P.M. and Coderre, J.A. (2008) Functional and Histological Changes in Rat Lung after Boron Neutron Capture Therapy. Radiation Research, 171, 60-69. http://dx.doi.org/10.1667/RR1266.1
[12]	Suzuki, M., Masunaga, S., Kinachi, Y., Takagai, M., Sakurai, Y., Kobayashi, T. and Ono, K. (2000) The Effects of Boron Neutron Capture Therapy on Liver Tumors and Normal Hepatocytes in Mice. Japanese Journal of Cancer Research, 91, 1058-1064. http://dx.doi.org/10.1111/j.1349-7006.2000.tb00885.x
[13]	Morris, G.M., Smith, D.R., Patel, H., et al. (2000) Boron Microlocalization in Oral Mucosal Tissue. British Journal of Cancer, 82, 1764-1771. http://dx.doi.org/10.1054/bjoc.2000.1148
[14]	Horiguchi, H., Nakamura, T., Kumada, H., Yanagie, H., Suzuki, M. and Sagawa, H. (2011) Investigation of Irradiation Conditions for Recurrent Breast Cancer in JRR-4. Applied Radiation and Isotopes, 69, 1882-1884. http://dx.doi.org/10.1016/j.apradiso.2011.03.036
[15]	Ulmer, W. (2014) A New Calculation Formula of the Nuclear Cross-Section of Therapeutic Protons. International Journal of Cancer Therapy and Oncology, 2, 1-13. http://dx.doi.org/10.14319/ijcto.0202.11
[16]	Imahori, Y., Ueda, S., Ohmori, Y., et al. (1998) Fluorine-18-Labeled Fluoroboronophenylalanine PET in Patients with Glioma. Journal of Nuclear Medicine, 39, 325-333.
[17]	Wienhard, K., Herholz, K., Coenen, H.H., et al. (1991) Increased Amino Acid Tarransport into Brain Tumors Measured by PET of L-(2-18F) Fluorotyrosine. Journal of Nuclear Medicine, 32, 1338-1346.
[18]	Patlak, C.S., Blasberg, R.G. and Fenstmacher, J.D. (1983) Graphical Evaluation of Blood-to-Brain Transfer Constants from Multiple-Time Uptake Data. Journal of Cerebral Blood Flow & Metabolism, 3, 1-7. http://dx.doi.org/10.1038/jcbfm.1983.1