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BED (Biologic EFFECTIIVE dose)
Video instructions
d
(dose per fraction)
n
(number of fractions)
D
(total dose)
a/b = Xa/b = 10a/b = 3BED
a/b = X
BED
a/b = 10
BED
a/b = 3
EQD2
a/b = X
EQD2
a/b = 10
EQD2
a/b = 3
EQD1.8
a/b = X
EQD1.8
a/b = 10
EQD1.8
a/b = 3
d
(dose per fraction)
n
(number of fractions)
D
(total dose)
αD0DqBED
(with USC calc)
SFED
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230602103120.0072.00100.0060.0060.0060.0063.1661.0262.50341340.331.251.878.0634
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410402103120.0056.0093.3360.0046.6756.0063.1647.4658.33203600.331.251.8132.3656.4
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65302103120.0048.0090.0060.0040.0054.0063.1640.6856.25183540.331.251.8117.8250.4
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1.82545210385.5053.1072.0042.7544.2543.2045.0045.0045.00203600.331.251.8132.3656.4
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225502103100.0060.0083.3350.0050.0050.0052.6350.8552.0885400.331.251.875.1532.8
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8181010314.4014.4029.3312.0012.0017.6012.2012.2018.33105500.331.251.899.3942.8
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203600.331.251.5134.5557
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203600.331.252130.9156
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203600.331.252.5127.2755
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Values taken from Park et al. 2008, average of 12 NCI studies ^
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Use this to plug in a BED value and determine the dose required to achieve it
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with the number of fractions you want.
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2.003060.003----100.00
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Quadratirc Formula2.273068.253----120.00
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(-b + squareroot(b^2 - 4ac) ) / 2a
2.533075.933----140.00
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ax^2 + bx + c = 01.523045.502----80.00
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a=101.703051.053----80.00
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b=302.193065.6410----80.00
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c=-100
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x =2
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BED with radiobiologic compensation for treatment interruptions
d
(dose per fraction)
n
(number of fractions)
D
(total dose)
a/b = XK factorTdelayT that you originally wantedDays of interruption (including weekends)T that is anticipated after adding interruptionsBED #1
a/b = X
BED #2
a/b = X
Extra BED needed to make up for gapNext --> columns provide optional support.Number of fractions you've already givenNumber of fractions remaining in original scheduleDose per fraction for remaining fractions
(to make up the BED gap)
Does this make sense to do?
(Is this additional BED less than the original prescription?)
Additional BED remaining (simple calculation)
a/b = X
vs. Original BED (simple calculation)
a/b = X
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H&N SCC23570100.9284675367.8061.506.309262.237Yes, but proceed with caution71.1684
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H&N SCC2.123369.96100.92844317570.3942.4927.909243.172No, the new prescription is stronger than just restarting treatment from scratch. Recommend re-simulating patient and considering alternative treatment approach.100.2784.79
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H&N SCC23060100.92839145362.1049.5012.6020103.132Yes, but proceed with caution41.1372.00
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Cervix SCC
1.82545100.51932144646.6039.607.0010152.247Yes, but proceed with caution41.2753.10
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Cervix SCC
22550100.51932144653.5046.507.0010152.447Yes, but proceed with caution45.6860.00
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Cervix SCC
22550100.51932144653.5046.507.0010152.447Yes, but proceed with caution45.6860.00
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Breast*2255040.32832144673.8069.604.2010152.263Yes, but proceed with caution53.1475.00
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Breast*2255040.32832144673.8069.604.2010152.263Yes, but proceed with caution53.1475.00
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Prostate*2397830.235521466126.60123.802.8010292.094Yes, but proceed with caution103.09130.00
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Prostate*2.532870.8430.235371451130.18127.382.8010182.678Yes, but proceed with caution91.25130.58
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NSCLC*23060100.52839.001453.0066.5059.507.0010202.339Yes, but proceed with caution57.7172.00
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NSCLC*23060100.52839.001453.0066.5059.507.0010202.339Yes, but proceed with caution57.7172.00
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Esophagus*
22550100.62832.003062.0057.6039.6018.0010153.083No, the new prescription is stronger than just restarting treatment from scratch. Recommend re-simulating patient and considering alternative treatment approach.60.5060.00
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Esophagus*
22550100.62832.001042.0057.6051.606.0010152.385Yes, but proceed with caution44.3160.00
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Online calculator:
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http://radiobiology.org/bed1c.asp
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Bonus Tool
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Ref d2Gy
1+d/(a/b) =
1.67
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Alph Beta3
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d per fraction
5.04.03.02.01.5
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18.05.63.62.01.4
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216.011.27.24.02.7
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324.016.810.86.04.1
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432.022.414.48.05.4
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540.028.018.010.06.8
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648.033.621.612.08.1
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756.039.225.214.09.5
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864.044.828.816.010.8
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972.050.432.418.012.2
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1080.056.036.020.013.5
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1188.061.639.622.014.9
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1296.067.243.224.016.2
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13104.072.846.826.017.6
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14112.078.450.428.018.9
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15120.084.054.030.020.3
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16128.089.657.632.021.6
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17136.095.261.234.023.0
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18144.0100.864.836.024.3
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19152.0106.468.438.025.7
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20160.0112.072.040.027.0
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21168.0117.675.642.028.4
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22176.0123.279.244.029.7
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23184.0128.882.846.031.1
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24192.0134.486.448.032.4
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25200.0140.090.050.033.8
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26208.0145.693.652.035.1
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27216.0151.297.254.036.5
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28224.0156.8100.856.037.8
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29232.0162.4104.458.039.2
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30240.0168.0108.060.040.5