Научная статья на тему 'Iodine quantification with computed tomography for the purpose of dose assessment in contrast enhanced radiotherapy'

Iodine quantification with computed tomography for the purpose of dose assessment in contrast enhanced radiotherapy Текст научной статьи по специальности «Медицинские технологии»

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Ключевые слова
contrast enhanced radiotherapy / computed tomography / iodine / quantification / dosimetry / фотон-захватная терапия / компьютерная томография / йод / количественное определение / дози- метрия

Аннотация научной статьи по медицинским технологиям, автор научной работы — Lipengolts A.A., Budaeva J.A., Blaickner M., Cherepanov A.A., Menkov M.A.

In vivo quantitative determination of high-Z elements such as iodine gadolinium, gold, etc. is an important issue for contrast enhanced radiotherapy (CERT) that aggravates its clinical implementation. X-ray computed tomography (CT) could be a reliable, convenient and universal method for this task. The aim of this study was to demonstrate the feasibility of iodine quantification with CT in a tissue equivalent phantom, meeting the demands for CERT. The results show a linear relationship between iodine concentration and radiopacity on tomographic images expressed in Hounsfield units (HU) over an iodine concentration range of 0.5–50 mg/ml. Furthermore, iodine quantification with CT proofed to be suitable for CERT since the deviation between CTderived and actual iodine concentration does not exceed 5 % in the concentration range of 10–50 mg/ml. More significant deviations were observed for concentrations below 5 mg/ml with up to 80 %, which is still acceptable for CERT since the corresponding error for the absorbed dose in that range is less than 2.8 %. X-ray beam hardening within the tissue equivalent object does not significantly influence the accuracy of iodine quantification. The placement of iodine water solutions at the surface or in the centre of a visualized object during iodine quantification leads to a less than 2 % change in the determined iodine concentration.

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Количественное определение йода при помощи рентгеновской компьютерной томографии для дозиметрического обеспечения фотон-захватной терапии

Количественное определение in vivo дозоповышающих агентов, то есть элементов с Z >52, при фотон-захватной терапии (ФЗТ) необходимо для внедрения метода в клиническую практику. Проведено исследование возможности количественного определения йода (Z = 53) в тканеэквивалентном объекте (полиэтиленовом фантоме) при помощи рентгеновской компьютерной томографии (КТ). Показано, что зависимость значений рентгеноплотности водных растворов йода на томограммах фантома от концентрации йода носит линейный характер в диапазоне концентраций йода от 0,5 до 50 мг/мл. Характеристики предлагаемого метода количественного определения йода при помощи КТ соответствуют потребностям ФЗТ. Отклонение измеренного по томограммам содержания йода в растворах от их истинных значений не превышает 5 % в диапазоне концентраций йода от 10 до 50 мг/мл. Для растворов с концентрацией йода менее 5 мг/мл отклонение достигает 80 %. Однако и этот результат является приемлемым для ФЗТ, так как для концентраций йода менее 5 мг/мл неопределенность величиной в 80 % в измерении концентрации йода приводит к неопределенности определения величины поглощенной дозы не более чем в 2,8 %. Изменение спектра рентгеновского излучения в тканеэквивалентом объекте не оказывает существенного влияния на характеристики предлагаемого метода. Сравнение градуировочных кривых, построенных для растворов, расположенных около поверхности объекта и в его глубине, показало, что разница между определяемыми по ним значениями концентрации йода не превышает 2 %.

Текст научной работы на тему «Iodine quantification with computed tomography for the purpose of dose assessment in contrast enhanced radiotherapy»

method i medical physics

iodine quantification with computed tomography for the purpose of dose assessment in contrast enhanced radiotherapy

Lipengolts AA123 Ea, Budaeva JA20 Blaickner M4, Cherepanov AA1, Menkov MA1, Kulakov VN2, Grigorieva EYu1

1 N. N. Blokhin Russian Cancer Research Center, Moscow, Russia

2 A. I. Burnazyan Federal Medical and Biophysical Center, Moscow, Russia

3 National Research Nuclear University MEPhI, Moscow, Russia

4 Austrian Institute of Technology, Vienna, Austria, Russia

In vivo quantitative determination of high-Z elements such as iodine gadolinium, gold, etc. is an important issue for contrast enhanced radiotherapy (CERT) that aggravates its clinical implementation. X-ray computed tomography (CT) could be a reliable, convenient and universal method for this task. The aim of this study was to demonstrate the feasibility of iodine quantification with CT in a tissue equivalent phantom, meeting the demands for CERT. The results show a linear relationship between iodine concentration and radiopacity on tomographic images expressed in Hounsfield units (HU) over an iodine concentration range of 0.5-50 mg/ml. Furthermore, iodine quantification with CT proofed to be suitable for CERT since the deviation between CT-derived and actual iodine concentration does not exceed 5 % in the concentration range of 10-50 mg/ml. More significant deviations were observed for concentrations below 5 mg/ml with up to 80 %, which is still acceptable for CERT since the corresponding error for the absorbed dose in that range is less than 2.8 %. X-ray beam hardening within the tissue equivalent object does not significantly influence the accuracy of iodine quantification. The placement of iodine water solutions at the surface or in the centre of a visualized object during iodine quantification leads to a less than 2 % change in the determined iodine concentration.

Keywords: contrast enhanced radiotherapy, computed tomography, iodine, quantification, dosimetry

[><] Correspondence should be addressed: Alexey Lipengolts

Kashirskoe shosse, d. 24, Moscow, Russia, 115478; [email protected]

Received: 01.12.2016 Accepted: 06.12.2016

количественное определение йода при помощи рентгеновской компьютерной томографии для дозиметрического обеспечения фотон-захватной терапии

А. А. Липенгольц1,2,3 Ю. А. Будаева2,3, М. Блайкнер4, А. А. Черепанов1, М. А. Меньков1, В. Н. Кулаков2, Е. Ю. Григорьева1

1 Российский онкологический научный центр имени Н. Н. Блохина, Москва

2 Федеральный медицинский биофизический центр имени А. И. Бурназяна, Москва

3 Национальный исследовательский ядерный университет «МИФИ», Москва

4 Австрийский технологический институт, Вена, Австрия

Количественное определение in vivo дозоповышающих агентов, то есть элементов с Z >52, при фотон-захватной терапии (ФЗТ) необходимо для внедрения метода в клиническую практику. Проведено исследование возможности количественного определения йода (Z = 53) в тканеэквивалентном объекте (полиэтиленовом фантоме) при помощи рентгеновской компьютерной томографии (КТ). Показано, что зависимость значений рентгеноплотности водных растворов йода на томограммах фантома от концентрации йода носит линейный характер в диапазоне концентраций йода от 0,5 до 50 мг/мл. Характеристики предлагаемого метода количественного определения йода при помощи КТ соответствуют потребностям ФЗТ. Отклонение измеренного по томограммам содержания йода в растворах от их истинных значений не превышает 5 % в диапазоне концентраций йода от 10 до 50 мг/мл. Для растворов с концентрацией йода менее 5 мг/мл отклонение достигает 80 %. Однако и этот результат является приемлемым для ФЗТ, так как для концентраций йода менее 5 мг/мл неопределенность величиной в 80 % в измерении концентрации йода приводит к неопределенности определения величины поглощенной дозы не более чем в 2,8 %. Изменение спектра рентгеновского излучения в тканеэквивалентом объекте не оказывает существенного влияния на характеристики предлагаемого метода. Сравнение градуировочных кривых, построенных для растворов, расположенных около поверхности объекта и в его глубине, показало, что разница между определяемыми по ним значениями концентрации йода не превышает 2 %.

Ключевые слова: фотон-захватная терапия, компьютерная томография, йод, количественное определение, дозиметрия

[><] Для корреспонденции: Липенгольц Алексей Андреевич

Каширское шоссе, д. 24, г. Москва, 115478; [email protected]

Статья получена: 01.12.2016 Статья принята в печать: 06.12.2016

метод i медицинская физика

Effectiveness and clinical potential of contrast enhanced radiation therapy (CERT) in treating malignant tumors, in particular brain tumors, have been demonstrated by many Russian and foreign researchers [1-5]. CERT relies on the absorption of orthovoltage X-rays in the range of 30-300 keV by high-Z elements introduced into the tumor. This method ensures enhancement of the absorbed radiation dose. X-ray absorption is better in high-Z elements, with Z >52 (for the sake of convenience, they will be further referred to as dose enhancers, DE) than in H, C, O, N, or other elements that constitute soft biological tissues [6].

Phase I clinical trials of CERT-based treatment of brain tumors using a modified CT (computed tomography) scanner were first conducted in the USA in the 1990s [2]. Currently, similar studies are carried out in France at the European Synchrotron Radiation Facility [7]. Though they have already yielded some encouraging results, CERT may still be unable to move on to a further research stage: an accurate method for quantification of DE distribution in tumors and surrounding tissues before and after irradiation has not been developed yet. In CERT, the absorbed radiation dose depends on the DE concentration in the target object and can increase 1.5-5 times compared to the dose absorbed by the same object that was not preloaded with DE [8-12]. Therefore, it would be impossible to elaborate a suitable radiation scheme and control a radiation dose delivered to and absorbed by patient's tissues, which is critical for further clinical research, without developing a method for DE quantification in malignant and healthy tissues.

In the studies mentioned above, radiation schemes did not take into account the presence of DE in the target object. Irradiation mode and duration were chosen based on the interaction of X-rays with soft tissues; the energy released from DE atoms was disregarded. Therefore, radiation was delivered in fractionated doses, similar to conventional external beam radiotherapy. The DE-related enhancement of the absorbed dose was analyzed later when study results were processed and data from CT scans performed in the preparatory stage of the research were averaged over all patients. In calculations of the absorbed doses, DE distribution in tumors was perforce considered uniform. No criteria were proposed to estimate DE content in the target object, and their impact on the total radiation dose absorbed by the tumor was not therefore considered. Obviously, accurate quantification of high-Z elements in patient tissues in vivo is essential for effective and safe CERT-based treatment of malignant tumors.

CT seems to be the most appropriate method for DE quantification in CERT. CT and CERT rely on the same physical principle, i. e. absorption of X-rays by a substance. CT is widely used in clinical routine and is one of the major medical imaging techniques. The feasibility of CT-based DE quantification is underpinned by the basic physics of CT and has been experimentally proved by a number of researchers [13-15]. However, the accuracy of DE quantification by CT still remains unclear.

The aim of this work was to demonstrate the feasibility of CT-based iodine determination in a tissue equivalent phantom and to assess the accuracy of this method and the effect that X-ray voltage and non-uniform attenuation of various components of X-ray energy spectrum occurring in the deep layers of the phantom have on it.

METHODS

For this study, we fabricated a polyethylene phantom sized 134 x 134 x 63 mm. We made two perpendicular rows of

holes in it (superficial and going through deeper layers) to place several 250 pl microtubes filled with aqueous iodine solutions with iodine concentrations ranging from 0.5 to 50 mg/ml (Fig. 1). We used iopromide (marketed as Ultravist 370) by Bayer Schering Pharma AG, Germany. To prepare aqueous iodine solutions, Ultravist 370 that originally contained 370 mg/ml iodine was diluted down using automatic pipette. The phantom with microtubes in it was scanned with the Siemens Biograph 40 CT scanner (Siemens, Germany) operated at different X-ray tube voltages of 80, 100, 120 and 140 kV and 200 mA current. Images were reconstructed using a standard B30f kernel. Quantitative analysis of DICOM images was performed using the ImageJ software (National Institutes of Health, USA). The same software was used to calculate mean radiopacity of iodine solutions expressed in Hounsfield units (HU) and standard deviations. Linear approximation of the obtained mean values was performed using the R environment (R Foundation).

RESULTS

Fig. 2 shows a relationship between radiopacity of aqueous iodine solutions and their iodine concentrations. It was linear (R2 = 0.998) at all studied concentrations ranging from 0.5 to 50 mg/ml. Using the obtained data, calibration curves were constructed. Deviations between iodine concentrations calculated from the calibration curves and their actual values are shown in the table below. They did not exceed 5 % for concentrations between 10 and 50 mg/ml. For a 5 mg/ ml concentration, the deviation was 5-10 %. The biggest deviation (up to 80 %) was observed in solutions with iodine concentrations below 1 mg/ml. A slight change in radiopacity was observed related to the location of the microtube. On the graph, the calibration curves for the solutions placed closer to the phantom's surface appeared below the calibration curves constructed for the solutions placed deeper inside the phantom. However, the difference between the expected concentrations of the solution and the concentrations calculated from the calibration curves did not exceed 2 % at all operating voltages.

DISCUSSION

We have conducted a pioneer study of DE quantification using a CT scanner and assessed the accuracy of the proposed method considering the challenges faced by contrast enhanced radiation therapy. The effect of varying operating X-ray tube

Fig. 1. A CT image of a polyethylene phantom with microtubes in it containing a 35 mg/ml aqueous iodine solution. Operating voltage is 80 kV

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Iodine concentration In aqueous solutions, mg/ml

Fig. 2. Calibration curves showing the relationship between radlopacity (expressed in Hounsfield units, HU) and iodine concentrations at X-ray tube voltages of 80, 100, 120 and 140 kV for solutions placed inside the phantom

voltages on the radiopacity of aqueous iodine solutions was studied in a tissue equivalent phantom. We also investigated the relationship between the radiopacity of solutions and the location of the microtubes containing the former (closer to the phantom's surface or in its center). The relationship between radiopacity of aqueous iodine solutions and their iodine concentrations was linear for concentrations ranging from 0.5 to 50 mg/ml at all applied voltages. As we expected, the method exhibited higher sensitivity at 80 kV comparing to 100, 120 and 140 kV voltages. However, this difference in sensitivity is not critical for CERT and does not affect the accuracy of CT-based DE quantification (see the table below); the latter is more influenced by varying HU in the studied area. Thus, the choice of the optimal voltage for DE quantification can be based on other more important criteria [6, 16].

In spite of the considerable deviation between the calculated iodine concentrations and their actual values over the range of 0.5 to 5 mg/ml (up to 80 %), it is acceptable for CERT planning and absorbed dose calculation. As shown previously [16], the increase in the absorbed dose in CERT depends on DE concentration and this relationship can be described linearly (R2 = 0.99764). Thus for the calculation of the absorbed dose, the absolute error of DE quantification is important, and its percentage value is negligible. The observed 80 % uncertainty for a concentration of 1 mg/ml corresponds to the absolute error of 0.8 mg/ml, which in turn leads to a less than 2.8 % change in the absorbed dose value, which is seen as acceptable in radiation therapy.

Thus, the proposed method for CT-based iodine quantification allows the use of the quantitative data on DE distribution for CERT planning and dose control. The accuracy of CT-based DE quantification can be improved by developing special algorithms of image reconstruction aimed to obtain images with lower contrast and sharpness and less varying HU for a homogeneous radiopaque object. Beam hardening in the studied object does not significantly change the accuracy of iodine quantification. CT-based iodine quantification of DE in vivo renders it possible to place the reference samples close to a patient and does not require an anthropomorphic phantom for calibration.

CONCLUSIONS

We have experimentally proved the feasibility of CT-based iodine quantification in the tissue equivalent phantom. The method proved to be rather reliable and can be applied for dose assessment and CERT planning. The method is stable in the wide range of X-ray tube voltages and DE concentrations and can be used to study variously shaped objects of different length. CT is also a universal method for DE quantification.

Iodine concentrations in aqueous solutions measured by a CT scanner and their deviations from actual values at various voltages

Actual value of Iodine concentrations in aqueous solutions, mg/ml X-ray tube voltage

80 kV 100 kV 120 kV 140 kV

Iodine concentration in aqueous solutions (mg/ml) measured by CT and its deviation from the actual value (%)

mg/ml % mg/ml % mg/ml % mg/ml %

0.50 ± 0.01 0.11 ± 0.08 77.1 0.18 ± 0.13 63.3 0.28 ± 0.2 43.9 0.13 ± 0.09 74.8

1.00 ± 0.02 0.18 ± 0.07 81.9 0.39 ± 0.16 60.8 0.10 ± 0.15 89.8 0.63 ± 0.25 37.5

5.0 ± 0.1 4.7 ± 0.2 7.1 4.80 ± 0.2 3.8 4.7 ± 0.2 6.9 4.7 ± 0.2 5.5

10.0 ± 0.2 10.50 ± 0.2 5.0 10.5 ± 0.2 4.7 10.3 ± 0.2 2.5 10.5 ± 0.2 4.9

20.0 ± 0.4 20.4 ± 0.3 1.8 20.4 ± 0.3 2.2 20.3 ± 0.3 1.4 20.7 ± 0.3 3.4

35.0 ± 0.6 34.9 ± 0.4 0.4 35.3 ± 0.4 0.7 35.2 ± 0.4 0.7 35.2 ± 0.4 0.6

50.0 ± 0.9 49.6 ± 0.4 0.8 49.2 ± 0.4 1.6 49.3 ± 0.4 1.3 49.1 ± 0.4 1.7

References

Norman A, Ingram M, Skillen RG, Freshwater DB, Iwamoto KS, Solberg T. X-ray phototherapy for canine brain masses. Radiat Oncol Investig. 1997; 5 (1): 8-14.

Rose JH, Norman A, Ingram M, Aoki C, Solberg T, Mesa A. First radiotherapy of human metastatic brain tumors delivered by a computerized tomography scanner (CTRx). Int J Radiat Oncol Biol Phys. 1999; 45 (5): 1127-32.

Hainfeld JF, Slatkin DN, Smilowitz HM. The use of gold nanoparticles to enhance radiotherapy in mice. Phys Med Biol. 2004; 49 (4904): N309-15.

Hainfeld JF, Smilowitz HM, O'Connor MJ, Dilmanian FA, Slatkin DN. Gold nanoparticle imaging and radiotherapy of brain tumors in mice. Nanomedicine (Lond). 2013; 8 (10): 1601-9. DOI: 10.2217/nnm.12.165.

Lipengolts AA, Cherepanov AA, Kulakov VN, Grigorieva EY, Sheino IN, Klimanov VA. Antitumor efficacy of extracellular complexes with gadolinium in Binary Radiotherapy. Appl Radiat Isot. 2015 Dec 1; 106: 233-6. DOI: 10.1016/j.apradiso.2015.07.051. Kulakov VN, Lipengolts AA, Grigorieva EYu, Shimanovskii NL. [Pharmaceuticals for Binary Radiotherapy and Their Use for the

метод i медицинская физика

Treatment of Malignancies (A Review)]. Khimiko-Farmatsevticheskii Zhurnal. 2016; 50 (6): 19-25. Russian.

7. Adam J, Vautrin M, Obeid L, Tessier A, Prezado Y, Renier M, et al. Contrast-enhanced Synchrotron Stereotactic Radiotherapy Clinical Trials from a Medical Physicist Point of View. Int J Radiat Oncol. 2014; 90 (1): S16-7.

8. Solberg TD, Iwamoto KS, Norman A. Calculation of radiation dose enhancement factors for dose enhancement therapy of brain tumours. Phys Med Biol. 1992 Feb; 37 (2): 439-43.

9. Cho SH. Estimation of tumour dose enhancement due to gold nanoparticles during typical radiation treatments: a preliminary Monte Carlo study. Phys Med Biol. 2005; 50 (15): N163-73. DOI: 10.1088/0031-9155/50/15/N01.

10. Roeske JC, Nunez L, Hoggarth M, Labay E, Weichselbaum RR. Characterization of the Theorectical Radiation Dose Enhancement from Nanoparticles. Technol Cancer Res Treat. 2007; 6 (5): 395401.

11. Verhaegen F, Reniers B, Deblois F, Devic S, Seuntjens J, Hristov D. Dosimetric and microdosimetric study of contrast-enhanced radiotherapy with kilovolt x-rays. Phys Med Biol. 2005; 50 (15): 3555-69. DOI: 10.1088/0031-9155/50/15/005.

12. Robar JL, Riccio SA, Martin MA. Tumour dose enhancement using modified megavoltage photon beams and contrast media. Phys Med Biol. 2002; 47 (14): 2433-49.

13. Hainfeld JF, O'Connor MJ, Dilmanian FA, Slatkin DN, Adams DJ, Smilowitz HM. Micro-CT enables microlocalisation and quantification of Her2-targeted gold nanoparticles within tumour regions. Br J Radiol. 2011; 84 (1002): 526-33. DOI: 10.1259/ bjr/42612922.

14. Rousseau J, Boudou C, Esteve F, Elleaume H. Convection-Enhanced Delivery of an Iodine Tracer Into Rat Brain for Synchrotron Stereotactic Radiotherapy. Int J Radiat Oncol Biol Phys. 2007; 68 (3): 943-51. DOI: 10.1016/j.ijrobp.2007.01.065.

15. Le Duc G, Corde S, Charvet A-M, Elleaume H, Farion R, Le Bas J-F, et al. In Vivo Measurement of Gadolinium Concentration in a Rat Glioma Model by Monochromatic Quantitative Computed Tomography. Invest Radiol. 2004; 39 (7): 385-93.

16. Cherepanov AA, Lipengolts AA, Vorobyeva ES, Kulakov VN, Klimanov VA, Grigorieva EYu. [Xperimental study of x-rays absorbed dose increase in medium containing high-Z element using fricke dosimeter]. Meditsinskaya fizika. 2016; 72 (4): 38-41. Russian.

Литература

1. Norman A, Ingram M, Skillen RG, Freshwater DB, Iwamoto KS, Solberg T. X-ray phototherapy for canine brain masses. Radiat Oncol Investig. 1997; 5 (1): 8-14. 10.

2. Rose JH, Norman A, Ingram M, Aoki C, Solberg T, Mesa A. First radiotherapy of human metastatic brain tumors delivered by a computerized tomography scanner (CTRx). Int J Radiat Oncol

Biol Phys. 1999; 45 (5): 1127-32. 11.

3. Hainfeld JF, Slatkin DN, Smilowitz HM. The use of gold nanoparticles to enhance radiotherapy in mice. Phys Med Biol. 2004; 49 (4904): N309-15.

4. Hainfeld JF, Smilowitz HM, O'Connor MJ, Dilmanian FA, 12. Slatkin DN. Gold nanoparticle imaging and radiotherapy of brain tumors in mice. Nanomedicine (Lond). 2013; 8 (10): 1601-9. DOI: 10.2217/nnm.12.165. 13.

5. Lipengolts AA, Cherepanov AA, Kulakov VN, Grigorieva EY, Sheino IN, Klimanov VA. Antitumor efficacy of extracellular complexes with gadolinium in Binary Radiotherapy. Appl Radiat Isot. 2015 Dec 1; 106: 233-6. DOI: 10.1016/j. apradiso. 2015.07.051. 14.

6. Кулаков В. Н., Липенгольц А. А., Григорьева Е. Ю., Шиманов-ский Н. Л. Препараты для дистанционной бинарной лучевой терапии и их применение при злокачественных новообразованиях (обзор). Хим.-фарм. журнал. 2016; 50 (6): 19-25. 15.

7. Adam J, Vautrin M, Obeid L, Tessier A, Prezado Y, Renier M, et al. Contrast-enhanced Synchrotron Stereotactic Radiotherapy Clinical Trials from a Medical Physicist Point of View. Int J Radiat Oncol. 2014; 90 (1): S16-7. 16.

8. Solberg TD, Iwamoto KS, Norman A. Calculation of radiation dose enhancement factors for dose enhancement therapy of brain tumours. Phys Med Biol. 1992 Feb; 37 (2): 439-43.

9. Cho SH. Estimation of tumour dose enhancement due to gold nanoparticles during typical radiation treatments: a preliminary

Monte Carlo study. Phys Med Biol. 2005; 50 (15): N163-73. DOI: 10.1088/0031-9155/50/15/N01.

Roeske JC, Nunez L, Hoggarth M, Labay E, Weichselbaum RR. Characterization of the Theorectical Radiation Dose Enhancement from Nanoparticles. Technol Cancer Res Treat. 2007; 6 (5): 395401.

Verhaegen F, Reniers B, Deblois F, Devic S, Seuntjens J, Hristov D. Dosimetric and microdosimetric study of contrast-enhanced radiotherapy with kilovolt x-rays. Phys Med Biol. 2005; 50 (15): 3555-69. DOI: 10.1088/0031-9155/50/15/005. Robar JL, Riccio SA, Martin MA. Tumour dose enhancement using modified megavoltage photon beams and contrast media. Phys Med Biol. 2002; 47 (14): 2433-49. Hainfeld JF, O'Connor MJ, Dilmanian FA, Slatkin DN, Adams DJ, Smilowitz HM. Micro-CT enables microlocalisation and quantification of Her2-targeted gold nanoparticles within tumour regions. Br J Radiol. 2011; 84 (1002): 526-33. DOI: 10.1259/bjr/42612922.

Rousseau J, Boudou C, Esteve F, Elleaume H. Convection-Enhanced Delivery of an Iodine Tracer Into Rat Brain for Synchrotron Stereotactic Radiotherapy. Int J Radiat Oncol Biol Phys. 2007; 68 (3): 943-51. DOI: 10.1016/j.ijrobp.2007.01.065. Le Duc G, Corde S, Charvet A-M, Elleaume H, Farion R, Le Bas J-F, et al. In Vivo Measurement of Gadolinium Concentration in a Rat Glioma Model by Monochromatic Quantitative Computed Tomography. Invest Radiol. 2004; 39 (7): 385-93. Черепанов А. А., Липенгольц А. А., Воробьева Е. С., Кулаков В. Н., Климанов В. А., Григорьева Е. Ю. Исследование увеличения энерговыделения в среде за счет присутствия тяжелого элемента с использованием дозиметра Фрике. Медицинская физика. 2016; 72 (4): 38-41.

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