CHAPTER 249 The Radiobiology and Physics of Radiosurgery
Radiosurgery is a concept devised by Lars Leksell1 that involves destruction of intracranial targets and induction of desired biologic effects in target tissue with the use of a single high dose of cross-firing ionizing beams through the intact skull. The concept of radiosurgery has since been extended to include treatment with one to five fractions and now involves targeting of extracranial sites as well.
Types of Ionizing Radiation
Electromagnetic Radiation
X-rays and gamma rays differ only in their manner of production. X-rays are produced either as a result of the interaction between a high-speed electron and a nucleus (bremsstrahlung x-rays) or as a result of electrons in the outer shell of an ionized atom falling from a high- to a low-energy level to fill a vacancy created by an electron that has been ejected (characteristic x-rays). X-rays may be a by-product of radioactive decay or may be created by human intervention. For example, linear accelerators (LINACs) generate x-rays by accelerating electrons and directing them to strike a target composed of a substance with high atomic number. The electrons interact with the target nuclei and generate (primarily) bremsstrahlung and (secondarily) characteristic x-rays.2
High-energy photons (>1 MV) are useful in radiation therapy because they deposit a significant amount of energy at depth in tissue, so they can be used to treat tumors deep within the body. In addition, high-energy photons exhibit a property called the build-up region when they enter tissue because the electrons liberated by the interacting photons near the skin surface are propelled in a mostly forward direction and deposit their energy deeper in tissue. This gives photons an advantage known as the “skin-sparing” effect (Fig. 249-1).
Particle Radiation
High-energy electrons are usually produced in LINACs by replacing the high–atomic number target (usually tungsten), which results in x-ray production, with a foil that serves to scatter the electrons in a desired pattern. Electrons begin depositing appreciable dose near the surface of tissue, have a predictable range at which they deposit the majority of their energy, and exhibit rapid dose falloff. This gives electron therapy a particular advantage in the treatment of cutaneous or subcutaneous lesions (Fig. 249-1).
High-energy protons are produced in particle accelerators such as cyclotrons. Protons are much more massive particles than electrons. Therefore, at a particular velocity, protons have much greater kinetic energy and do not scatter as easily. Hence, protons can potentially cause less damage to surrounding tissue. In addition, most of the energy absorption from protons occurs at the distal end (over the last few millimeters) of the particle track. The precisely defined area of intense ionization at the end of the track after the passage of protons is called a Bragg peak (Fig. 249-1). After the Bragg peak the deposited energy falls off quickly, so protons have a defined range in tissue with essentially no exit dose. To treat the entire thickness of a tumor, the proton beam may be altered to spread the Bragg peak out to the desired range of depth. By taking advantage of the Bragg peak effect, as well as cross-firing of a number of proton beams, a well-localized volume of high radiation delivery can be produced and has been applied in a radiosurgical setting.3,4
Radiobiology
Radiobiology of Conventional Radiotherapy
The probability of cell survival after single doses of radiation is a function of the absorbed dose, measured in the unit gray (Gy). Typical mammalian cell survival curves obtained after single-dose irradiation in culture have a characteristic shape that includes a low-dose shoulder region followed by a steeply sloped region at higher doses.5,6 The shoulder region is interpreted as an accumulation of sublethal damage at low doses, with lethality resulting from the interaction of two or more such sublethal events. As noted previously, single-strand breaks in DNA may be repaired and therefore represent sublethal damage to the cell. However, double-strand breaks may result in cellular changes, including cell death. Such a model can be described by the following probabilistic equation in which probability (cure or complication) = exp(−K*exp[−αD − βD2])] (“exp” represents exponential, K equals the number of clonogens, “α“ and “β“ are constants related to single-event cell killing and cell killing through the interaction of sublethal events, respectively, and “D” represents dose). The α/β ratio is the single dose at which overall cell killing is equally attributable to both components of cell killing (αD = βD2 or D = α/β).7 The validity of the linear quadratic formula for single-dose radiosurgery has been questioned, however.8 Nevertheless, it still provides a meaningful method to relate radiosurgery to fractionated radiation schemes.
The α/β ratio varies depending on the tumor and normal tissue type (Fig. 249-2). Late-responding tissues such as the brain or spinal cord have an α/β ratio of approximately 2, whereas many tumors have an α/β ratio of nearly 10. The α/β ratio for skin or mucosa is approximately 5 to 8. Tumors with a low α/β ratio (i.e., a small α or single-hit component for radiation kinetics) will have less of a desired effect when a scheme involving a low radiation dose per fraction is used than when comparable tissues with a high α/β ratio are treated. The dose may be normalized to a scheme of 2 Gy per fraction (NTD2Gy) by using the following equation9:
Conventional fractionated radiation therapy relies on the four R’s of radiobiology: repair of nonlethal injury, reoxygenation of hypoxic tumor cells, repopulation of tumor cells, and reassortment of tumor cells into more susceptible phases of the cell cycle. There are advantages and disadvantages to fractionated radiation therapy and radiosurgery. Depending on the clinical scenario, one may prove superior to the other. Certainly, there seems to be little advantage to fractionation for functional cases (e.g., trigeminal neuralgia) or for the treatment of patients with arteriovenous malformations (AVMs).8