H. H. MUHAMMED, Z. ZENGIN
Copyright © 2013 SciRes. ENG
what the PET camera sensors detect are 3D-spots or
clouds (each of which is centered at one of these voxels)
that overlap each other exte nsively .
Hence, the next future step for this research work is to
use this efficient simulation tool to study the positron
annihilation process in order to understand and find out
how to reduce the positron range to be able to enhance
the spatial resolution of the PET imaging system.
It is of course also possible to study the other pro-
cesses and parameters that affect the spatial resolution of
the PET imaging system, such as the effect of the area of
the sensing head of the detector, and the effect of the
non-collinearity of the annihilation photons pair, which
means that the angle between these photons is not always
180˚.
REFERENCES
[1] J. Barba, J. Sempau, J. M. Ferntidez-Varea and F. Salvat,
“PENELOPE: An Algorithm for Monte Carlo Simulation
of the Penetration and Energy Loss of Electrons and Po-
sitrons in Matter,” Nuclear Instruments and Methods in
Physics Resear ch B, Vol. 10, 1995, pp. 100:31-46.
http://dx.doi.org/10.1016/0168-583X(95)00349-5
[2] H. Bethe, “Moliere’s Theory of Multiple Scattering,”
Physical Review, Vol. 89, 1953, pp. 1256-1266.
http://dx.doi.org/10.1103/PhysRev.89.1256
[3] I. Buvat and I. Castiglioni, “Monte Carlo Simulations in
SPET and PET,” Quarterly Journal of Nuclear Medicine,
Vol. 46, No. 1, 2002, pp. 48-61.
[4] I. Buvat and D. Lazaro, “Monte Carlo Simulations in
Emission Tomography and GATE: An Overview,” Nuc-
lear Instrument s and Methods in Physics Research A, Vol.
569, 2006, pp. 323-329.
http://dx.doi.org/10.1016/j.nima.2006.08.039
[5] J. Cal-Gonzalez, J. L. Herraiz, S. Espana, M. Desco, J. J.
Vaquero and J. M. Udias, “Positron Range Effects in
High Resolution 3D PET Imaging,” Nuclear Science Sym-
posium Conference Record, 2009.
[6] A. Cengiz and E. A lmaz, “Internal Bremsstrahlung Spec-
tra of β-Particle Emi tters Using the Monte Carlo Met hod,”
Radiation Physics and Chemistry, Vol. 70, 2004, pp.
661-668. http://dx.doi. org/10.1016/j.radphyschem.2004.0
3.008
[7] J. C. L. Chow, M. K. K. Leung and D. A. Jaffray, “Monte
Carlo Simulation on a Gold Nanoparticle Irradiated by
Electron Beams,” Physics in Medicine and Biology, Vol.
57, 2012, pp. 3323-3331.
http://dx.doi.org/10.1088/0031-9155/57/11/3323
[8] K. Contractor, A. Challapalli, G. Tomasi, L. Rosso, H.
Wasan, J. Stebbing and Others, “Imaging of Cellular Pro-
liferation in Liver Metastasis by [18F]Fluorothymidine
Positron Emission Tomography: Effect of Therapy,” Phy-
sics in Medicine and Biology, Vol. 57, 2012, pp. 3419-
3433.
[9] H. Daniel, “Shapes of Beta -Ray Spectra,” Review s of Mo-
dern Physics, Vol. 40, 1968, pp. 659-672.
http://dx.doi.org/10.1103/RevModPhys.40.659
[10] S. Espana, J. L. Herraiz, E. Vicente, J. J. Vaquero, M.
Desco and J. M. Udias, “PeneloPET, a Monte Carlo PET
Simulation tool Based on PENELOPE: Features and Va-
lidation,” Physics in Medic ine and Biology, Vol. 54, 2009,
pp. 1723-1742.
http://dx.doi.org/10.1088/0031-9155/54/6/021
[11] R. D. Evan, “The Atomic Nucleus,” McGraw-Hill, New
York, 1955, Chaps 18-22.
[12] E. Fer mi, “Towards the Theory of β-Rays,” Zeitschrift für
Physik, Vol. 88, 1934, p. 161.
http://dx.doi.org/10.1007/BF01351864
[13] L. Jodal, C. Le Loi rec and C. Champion, “Positron Range
in PET Imaging: An Alternative Approach for Assessing
and Correcting the Blurring,” Physics in Medicin e and Bi-
ology, Vol. 57, 2012, pp. 3931-3943.
http://dx.doi.org/10.1088/0031-9155/57/12/3931
[14] G. F. Knoll, “Radiation Detection and Measurement,”
Wiley, Ne w York, 1989, Chap 2.
[15] E. J. Konopinski, “The Theory of Beta Radioactivity,”
Clarendon Press, Oxford, 1966.
[16] W. R. Leo, “Techniques for Nuclear and Particle Physics
Experiments,” Springer, New York, 1987, Chap 2.
http://dx.doi.org/10.1007/978-3-642-96997-3
[17] C. S. Levin, M. Dahlbom and E. J. Hoffman, “A Monte
Carlo Correction for the Effect of Compton Scattering in
3-D PET Brain Imaging,” IEEE Transactions on Nuclear
Science, Vol. 42, 1995, pp. 1181-1185.
http://dx.doi.org/10.1109/23.467880
[18] C. S. Levin and E. J. Hoffman, “Calculation of Positron
Range and Its Effect on the Fundamental Limit of Posi-
tron Emission Tomography System Spatial Resolution,”
Physics in Medicine and Biology, Vol. 44, 1999, pp. 781-
799. http://dx.doi.org/10.1088/0031-9155/44/3/019
[19] W. E. Meyerhof, “Elements of Nuclear Physics,” Mc-
Graw-Hill, New York, 1967.
[20] A. Murray and D. L. Williams, “Organic Synthesis with
Isotopes,” Interscience, New York, 1958.
[21] D. G. Ott , “Synthesis with Stable Isotopes,” Wiley-Inters-
cience, New York, 1981.
[22] H. Paganetti, “Range Uncertainties in Proton Therapy and
the Role of Monte Carlo Simulations,” Physics in Medi-
cine and Biology, Vol. 57, 2012, pp. R99-R117.
http://dx.doi.org/10.1088/0031-9155/57/11/R99
[23] H. Peng and C. S. Levin, “Study of PET Intrinsic Spatial
Resolution and Contrast Recovery Improvement for PET/
MRI Systems,” Physics in Medic ine and Biology, Vol. 57,
2012, pp. N101-N115.
[24] D. M. Ritson, “Techniques of High Energy Physics,”
Interscience, New York, 1961, Chap 1.
[25] A. F. G. Rocha and J. C. Harbert, “Textbook of Nuclear
Medicine: Basic Science,” Lea and Fekigur, Philadelphia,
1978.
[26] L. G. Strauss and P. S. Conti, “The Applications of PET
in Clinical Oncology,” Journal of Nuclear Medicine:
Official Publication, Society of Nuclear Medicine, Vol.
32, No. 4, 1991, p. 623.