Radiobiology

4 Rs of Radiobiology

Repair, redistribution, repopulation and reoxygenation — the four processes between fractions that help explain how fractionation changes the effect of radiation. A fifth R, radiosensitivity, is often added.

What is it?

The 4 Rs are four things that happen to cells in the time between radiation fractions. Together they explain much of why splitting a dose into fractions changes its effect on tumors and normal tissues. They were first described by Withers in 1975; Steel and colleagues added a fifth in 1989.

  • Repair — cells repair sublethal radiation damage between fractions.
  • Redistribution (or re-assortment) — cells are not equally sensitive at every stage of the cell cycle. Cells in mitosis are mostly sensitive and cells in S-phase mostly resistant. The survivors of one fraction move on through the cycle, so some reach a more sensitive phase before the next one.
  • Repopulation — surviving cells keep dividing between fractions, replacing cells that were killed.
  • Reoxygenation — cells short of oxygen (hypoxic cells) are more resistant to radiation. Between fractions, surviving hypoxic cells can regain oxygen and become more sensitive. See OER.

The fifth R is radiosensitivity: the intrinsic sensitivity of the cells themselves. Steel added it because tumors' response to radiotherapy was found to correlate with how sensitive their cells were in the laboratory. Some authors propose a sixth — Boustani and colleagues suggest reactivation of the anti-tumor immune response by radiation.

Why does it matter?

The Rs pull in opposite directions. As Brown and colleagues explain, when a dose is divided into fractions, redistribution and reoxygenation increase overall cell kill, because resistant survivors move into more sensitive states over time. Repair and repopulation increase cell survival, because cells recover after each fraction and multiply between them.

Fractionation schedules are designed around this balance: to maximize tumor cell kill while avoiding normal-tissue toxicity, particularly in late-responding tissues. The difference in repair capacity between tissues is what the α/β value in BED and EQD2 describes — Brown and colleagues note the lower α/β of late-responding normal tissues compared with acute effects and most tumors (with the likely exception of prostate cancer). Repopulation is why Fowler's full BED formula includes a term for overall treatment time.

The Rs are also at the center of the debate about SRS and SBRT, which give one or a few large fractions. With so few fractions there is less opportunity for reoxygenation between them, and Brown and colleagues argue that tumor hypoxia is likely to be more important for SRS and SBRT than for conventional fractionation. Even so, they conclude that for most tumors the classic 5 Rs are sufficient to explain the clinical results, which they attribute to the much larger BEDs these treatments deliver — with the likely exception that high doses may enhance antitumor immunity in some tumors.

How is it evaluated?

The Rs are not numbers you read off a plan. They are the reasoning behind tools you do use:

  1. Dose per fraction and α/β — the repair side of the balance — are built into BED and EQD2, which is why a schedule's effect is never judged on total dose alone.
  2. Overall treatment time — repopulation — appears as a time term in Fowler's full BED formula.
  3. Hypoxia and reoxygenation are covered on the OER page.

When you compare schedules, the useful questions come straight from the Rs: how many fractions, how large, and over how long.

Example

FractionNext fractionbetween fractionsMore cells surviveNext fraction kills moreRepairsublethal damage repairedRepopulationsurviving cells divideRedistributionmove to sensitive phasesReoxygenationhypoxic cells regain oxygen5th R — Radiosensitivity: intrinsic to the cells
Schematic only. Grouping follows Brown and colleagues (2014): repair and repopulation increase cell survival; redistribution and reoxygenation increase cell kill.

Brown and colleagues show how the Rs can make predictions that clinical results then test. In their modeling, which assumes a hypoxic fraction in the tumor and full reoxygenation between fractions, a single dose predicts tumor cell survival of about 10⁻², compared with 10⁻⁵ for 30 daily fractions, for the same normal-tissue effect. Yet clinical SBRT results, particularly in early-stage lung cancer, have been impressive — a gap they explain by the much larger BEDs that SBRT delivers.

Authoritative resources

Review articleSource Verified

Review of the radiobiology behind SRS and SBRT. It lists the five Rs — repair, repopulation, redistribution, reoxygenation and intrinsic radiosensitivity — notes that the first four were described by Withers and the fifth added by Steel, and explains that redistribution and reoxygenation increase cell kill over a fractionated course while repair and repopulation increase cell survival. It argues that hypoxia is likely to matter more for SRS/SBRT than for conventional fractionation, and concludes that for most tumors the classic 5 Rs and the linear-quadratic model are sufficient, with the excellent clinical results explained by the much larger BEDs delivered (with the likely exception of enhanced antitumor immunity for some tumors). Read in PubMed Central (author manuscript, PMC3893711).

Review articleSource Verified
The 6th R of radiobiology: reactivation of anti-tumor immune response
Boustani J, Grapin M, Laurent PA, Apetoh L, Mirjolet C · 2019

Open-access review. It defines the "five Rs" — repair, re-assortment, repopulation, reoxygenation and radiosensitivity — as the most important biological factors influencing tumor and normal-tissue response to fractionated treatment, and proposes a sixth R, reactivation of the anti-tumor immune response by radiotherapy, discussing how dose and fractionation may affect it. Full text read in Europe PMC (PMC6627091).

Review articleUnder Review
The 5Rs of radiobiology
Steel GG, McMillan TJ, Peacock JH · 1989

The short paper that extended Withers' four Rs of radiotherapy to five by adding intrinsic radiosensitivity. Citation checked in Europe PMC; DoseLab has not read the paper itself and describes it as summarized by Brown and colleagues (2014).

Review articleSource Verified

Review by the originator of the term biologically effective dose (BED, introduced in Br J Radiol in 1989). Gives the BED formula — nd[1 + d/(α/β)], with an optional overall-time term — and the conversion to the equivalent dose in 2 Gy fractions by dividing BED by 1 + 2/(α/β) (1.2 for α/β = 10 Gy, 1.67 for 3 Gy, 2.0 for 2 Gy). Its worked example: 30 × 2 Gy = 60 Gy is 72 Gy10 to early-responding tissue and 100 Gy3 to late-responding tissue, but 60 Gy EQD2 to both. Full text read in Europe PMC (PMC3473681).

Review articleSource Verified

Open-access review of tumor hypoxia in radiotherapy. It traces the history from the early 1900s to Gray's work in the 1950s, describes chronic (diffusion-limited) and acute (fluctuating blood flow) hypoxia, reviews attempts to modify hypoxia — including nitroimidazole radiosensitizers, where nimorazole in head and neck cancer is the only one incorporated into standard treatment, and only in Denmark — and notes that although OER falls as LET rises, the oxygen effect only disappears at around 500 keV/µm or greater, beyond what can be achieved clinically. Full text read in Europe PMC (PMC4990104).

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