Chapter 15 Conformal Therapy and Intensity-Modulated Radiation Therapy
Treatment Planning, Treatment Delivery, and Clinical Results
Conformal Therapy Definitions
Conformal therapy describes radiotherapy treatment that creates a high-dose volume that is shaped to closely “conform” to the desired target volumes while minimizing (as much as possible) the dose to critical normal tissues. A more recent enhancement of the definition of conformal therapy incorporates the fact that the conformal plan is designed to conform to all the target dose requirements (shape; a possibly complex, desired dose distribution inside the target) while minimizing the normal tissue doses. Although these features are the general aim of any radiotherapy treatment, normally the term conformal is applied to treatment plans in which (1) the target volumes are defined in three dimensions using contours drawn on many slices from a computed tomography (CT) (or other) imaging study, (2) multiple beam directions are used to cross fire on the targets, (3) the individual beams are shaped or intensity modulated to create a dose distribution that conforms (in shape and dose) to the target volume shape(s) and desired dose levels, and (4) appropriate use is made of image guidance, accurate patient setup and immobilization, and management of motion and other changes to ensure accurate delivery of the planned dose distributions to the patient, so that deviations from the planned treatment of the patient are minimized. Figure 15-1 illustrates the conceptual difference between standard and conformal therapy: Figure 15-1A shows a standard four-field box treatment for a given target volume that everyone would agree is a nonconformal approach, whereas Figure 15-1B shows a conformal approach achieved with conformally shaped fields.
A Short History Of Conformal Therapy
One of the most important pioneers in “conformation therapy” was Shinji Takahashi, who described many of the important concepts of conformal therapy delivery and 3D treatment planning in a 1965 monograph.1 Takahashi’s innovations included early multileaf collimators, automated (mechanical) conformal beam shaping, dynamic conformal treatments, orthogonal light beams to identify the machine isocenter, and 3D tumor models based on early tomography.1 Other notable work in this area was performed by Harold Perry and colleagues2 in Detroit and by Proimos, Wright, and Trump at the Massachusetts Institute of Technology (MIT)–Lahey Clinic.3–7 Another early approach to conformal therapy, known as the Tracking Cobalt Project,8,9 was led by Green, Jennings, and others at the Royal Northern and Royal Free Hospitals in England. First reported in the late 1950s,10 and summarized by Jennings,8 a series of mechanical, electronic, and, finally, computer-controlled treatment machines were developed to track disease spread, particularly along lymph node chains. By 1980, the computer-controlled version of the tracking system was in clinical use,11 although Brace summarized the major limitations to the delivery technique: “The major obstacle to the routine use of conformation therapy is treatment planning.”11 Finally, workers at the Joint Center for Radiation Therapy (JCRT) in Boston added computer control to a modern linear accelerator, so that the treatment table, gantry, collimator, collimator jaws, dose rate, and other parameters could be controlled dynamically while the beam was in use. The JCRT achieved the delivery of what is now called “dynamic conformal therapy,”12–1415 a modern basis for computer-controlled conformal therapy.
As already described in the quote (above) by Brace, treatment planning was one of the main limitations for the conformal delivery techniques that were developed during this time period. The introduction of computed tomography (CT) in the early 1970s was a key to the development of the modern 3D planning that is crucial to conformal therapy, because it made available a complete 3D description of the anatomy of each patient that could be the basis for planning. Early evaluation of the use of CT in treatment16–18 quickly led to widespread use of CT-based planning (see Ling19) as well as new interest in the use of inhomogeneity-corrected dose calculations, because CT provided the necessary electron-density maps of the patient.20 Other imaging data, including magnetic resonance imaging (MRI) and positron emission tomography (PET), also became available and began to be used for planning in the mid-1980s.21
With the widespread implementation of CT-based planning, it became possible to make use of continuing improvements in computer technology and new software developments to create fully 3D treatment planning systems that incorporated 3D graphics and the “beam’s-eye view” (BEV), a 3D graphic reconstruction of the patient anatomy projected into the divergent geometry used by the x-rays in the radiation beam22–26 (Fig. 15-2). Using BEV displays to design field shaping27 and evaluate coverage of tumor and sparing of normal tissues is perhaps one of the most effective concepts in the entire 3D planning paradigm. Routine clinical use of 3D radiation treatment planning (RTP) began in 1986,28 and many academic centers began development and then use of 3D planning systems in their clinics.29–32
The development of 3D treatment planning systems helped drive the need for and design of more sophisticated treatment delivery systems because the 3D planning systems demonstrated treatment improvements that would be possible to use clinically if more sophisticated machinery were available to make efficient delivery possible. The first treatment machine designed specifically to perform computer-controlled conformal radiotherapy (CCRT), the Scanditronix MM50 Racetrack Microtron, was developed during this same time period.33,34,35 Among other unique features, this machine included a fully computerized control system and a computer-controlled multileaf collimator (MLC)36 consisting of two sets of thin tungsten leaves that are used to shape the radiation field. Virtually all other radiation therapy machines have since that time also implemented computer control systems and MLC systems.37–39
The capabilities of computer control and MLC systems have made possible the delivery of very complicated plans, including those that make use of modulated intensities (a beam with different intensities in different parts of the field). Intensity modulation created using multiple segments40–43,44,45 or dynamic MLC motions33,46,47 and computer plan optimization (inverse planning)48,49–51,52 have been integrated into IMRT.53 The basic concepts of IMRT were described in 1987 by Brahme33,48,54 and a practical implementation was described by Bortfeld soon after.55 The combination of the flexibility of computer-controlled IMRT delivery with sophisticated plan optimization techniques has made IMRT an extremely powerful tool that can be used to perform conformal therapy.
The initial commercial IMRT implementation by NOMOS in 199256 was a form of IMRT now called serial tomotherapy, in which patients were treated slice by slice (as with early CT scanners) by the machine rotating around the patient and a special multileaf collimator (MIMIC) that performed the intensity modulation. Within a few years, all major vendors had implemented MLC systems with leaf widths varying from 1 cm to a few millimeters that could perform IMRT using either dynamic motions of the MLC leaves (DMLC) or a number of static segments (shapes), now called SMLC.53 A more sophisticated implementation of tomotherapy based on helical delivery of IMRT, helical tomotherapy,57 also became widely disseminated. In the last several years, a number of vendors have now developed a rotational MLC-based IMRT technique (IMAT), which was originally described by Yu,58 and is now called VMAT (volumetric modulated arc therapy).59,60 Inverse planning has also developed substantially during this time. Though much of this optimization makes use of quadratic weighted sum cost functions and simple gradient-based search algorithms, there have also been developments of sophisticated cost functions61 and the use of more biologically related costs such as normal tissue control probability (NTCP) models and equivalent uniform dose (EUD). Most systems use the weighted sum cost functions, but there has been development of sophisticated multicriteria methods62,63 that more directly take into account the numerous optimization goals involved in a typical clinical radiotherapy treatment plan.
One of the developments that made the conformal therapy revolution possible was the development of amorphous silicon flat panel imagers,64 which allowed effective electronic portal imaging verification of the accuracy of these newly conformal fields. This technology then was further developed, first for kilovoltage (diagnostic quality) imaging and then to provide cone beam CT (CBCT) capability using kilovoltage imaging systems mounted directly on the treatment machine.65 The availability of these high-quality CBCT or kilovoltage imaging modalities directly on the treatment machine led to the development of image-guided radiation therapy (IGRT), in which diagnostic imaging was used to correct patient setup and positioning for treatment every day. IGRT processes have greatly increased the delivery accuracy possible and have led to the possibility of much smaller margins for setup errors, as well as enough confidence in targeting accuracy that stereotactic body radiation therapy (SBRT) is now used routinely to give very high doses (as high as 20 Gy/fraction) to well-localized targets in the liver, lung, and other sites. The use of IMRT and the proper handling of patient motion, respiration, and other “4D” issues is a major thread of much research and development at the current time.
Issues For Clinical Use
Planning For Conformal Therapy
Treatment planning is one of the most critical parts of the conformal therapy process. In this description, we include all preparatory aspects of the planning process, including many activities that occur outside the radiation therapy planning (RTP) system. Many treatment delivery issues (e.g., setup accuracy, patient motion, portal and localization imaging) are briefly mentioned here and are more completely described later. Figure 15-3 shows a schematic of the basic components of the planning process for both forward (interactive) and inverse planning (i.e., IMRT optimization).
Figure 15-3 Schematic chart of the basic components of the planning process—shown for both forward and inverse planning.
Positioning and Immobilization
Basic patient positioning, including location of the arms and legs and positioning of the patient (supine, prone, or in some other more unusual position), depends mainly on two issues: (1) patient comfort and stability and (2) the beam directions that will be used. In most cases, conformal therapy plans make use of three or more beams that cross fire on the target from a number of different positions arranged around the patient, so the patient is typically positioned with both arms up (if the target is somewhere in the torso) or arms down (head and neck and brain targets). For superficial targets, the target is typically positioned facing up, but for most deep tumors, the cross-firing beam directions can be achieved with the patient in standard supine or prone positions, whichever is most stable and accurately set up. There have been studies of the benefits of various positioning decisions (e.g., prone versus supine) for patients with prostate tumors66; there is some debate about the relative merits of the possible anatomic changes that occur for the prone versus the supine position, relative to other advantages and disadvantages for planning, daily setup, and respiratory motion-related stability.
The use of various types of so-called immobilization devices to help with patient positioning and immobilization for conformal therapy has run the entire gamut of possibilities, from the use of stereotactic head frames and other such devices that are physically attached to the patient’s skull to other techniques that do not use any immobilization device. Early conformal therapy (1980s to 1990s) often incorporated a foam cradle device to help position the patient67; it is currently thought that more precision can be achieved without use of the cradle devices. In the end, each clinic should document the setup accuracy that is achieved with their chosen methods, for each clinical site, so that the planning and delivery process can take proper account of the expected systematic and random setup uncertainties. The use of in-room imaging systems (e.g., diagnostic and megavoltage CBCT) has provided more detailed information about setup accuracy, and makes it possible to improve setup accuracy and minimize margins using IGRT setup.
Computed Tomography, Magnetic Resonance Imaging, and Other Forms of Imaging
The development of x-ray CT in the 1970s and its application to radiotherapy planning18 were absolutely crucial milestones in the development of conformal therapy techniques. Without the cross-sectional anatomic imaging provided by CT (and MRI), there was not enough anatomic knowledge about the tumor or normal anatomy to consider the use of highly conformal dose distributions. Certainly, once the detailed anatomic information provided by CT became available, it was clear that radiotherapy planning and treatment should make use of this new and detailed description of the patient to better spare normal tissues and more accurately deliver dose to the tumor. Conformal therapy is a logical response to the detailed information provided by CT.
Modern conformal therapy is always based on a 3D anatomic model of the patient, which is typically based on a CT scan of the involved region. Usually, a specific type of CT scan, the treatment planning scan, is obtained for use as the basis for treatment planning. Features of the treatment planning scan are listed in Box 15-1.
Box 15-1 Treatment Planning CT Scan Features
Developments in CT and treatment delivery technology have made the consideration of motion during CT scanning (and radiotherapy treatment) an important research topic. 4DCT describes various techniques for obtaining CT data correlated with patient respiratory phase information so that the changes associated with respiration (or other motion) are displayed. For certain clinical sites (e.g., the lung, the breast), it is clear that consideration of respiratory (and, perhaps, cardiac) motion will be an important aspect of the initial imaging of the patient, so that an appropriate model (perhaps, a time-varying or 4D model) of the patient can be used for further planning and analysis. 4DCT,68 respiratory gating,69 active breathing control (ABC),70,71 or other methods are often used for many treatment sites, though which combinations of techniques and methods are most efficient and appropriate is not yet clear.
CT provides anatomic and electron density information that is critical for most treatment planning, and it also provides a geometrically accurate base for planning. However, it provides only anatomic information, not the physiologic and functional information that should be very helpful for planning, and it provides only a limited amount of soft tissue contrast. MRI can provide complementary kinds of data, including excellent soft tissue contrast and different kinds of physiologic information. In addition, functional magnetic resonance imaging (fMRI) studies can provide some of the functional information that to this point has been unavailable. Other kinds of imaging also contain complementary or new information. PET and single-photon emission computed tomography (SPECT) provide functional and physiologic information and can be quite important in helping define target volumes and regions that should be included or excluded from the radiation fields. Which modalities, scans, tracers, and analysis methods should be used for specific features is well beyond the scope of this work. However, in order to quantitatively make use of any additional imaging modality for treatment planning, one should incorporate a number of important procedures into the imaging process, as listed in Box 15-2.
Box 15-2 Imaging for Treatment Planning (Not Including CT Imaging)
Anatomy for Treatment Planning
Three-Dimensional Anatomic Model
To allow conformal therapy planning, the representation of the patient that is used for treatment planning must be realistic and three-dimensional. In general, the basic data used to define the anatomy come from a CT study, typically consisting of 50 to 200 CT scan slices. The anatomic model of the patient is based on this CT data and consists of a number of objects (structures) that delineate organs or other objects (e.g., target volumes) in 3D (or 4D; see Motion, Setup, and Four-Dimensional Anatomy). These structures can be defined by (1) a series of contours, (2) a 3D surface description, (3) a voxel-based description, or (4) a set of points distributed either randomly or on a grid. Methods used to delineate these structures are described in the section on Structure Delineation and Contouring.
Target Volume Definition and Margins
To plan and deliver conformal therapy, it is essential to accurately define the volumes that must receive high radiation doses, the “target volumes.” As described in detail in the International Commission on Radiological Units (ICRU) report ICRU-50,72 three kinds of target volumes are typically defined, as summarized in Table 15-1.
Abbreviation | Name | Description |
---|---|---|
GTV | Gross tumor volume | Volume of macroscopic tumor that is visualized on imaging studies |
CTV | Clinical target volume | Volume that should be treated to a high dose, typically incorporating both the GTV and volumes that are assumed to be at risk due to microscopic spread of the disease |
PTV | Planning target volume | Volume that should be treated in order to ensure that the CTV is always treated, including considerations of systematic and random daily setup errors and intertreatment and intratreatment motion |
The gross target volume (GTV) is typically delineated by drawing the imaged tumor on each of the imaging studies that are available. CT is used often, but for many sites, MR and PET can be very useful. When multiple imaging studies are available, the GTV can be drawn on each study, and then, using dataset registration to geometrically align the different datasets (see Multiple Imaging Modalities: Dataset Registration and Fusion), one can transfer the different GTV contours onto a single dataset. How to combine the various GTVs defined is the subject of ongoing research; however, typically, one will combine or take the union of all the defined GTVs in order to make sure that no gross tumor is missed within the defined GTV.
Often, the PTV is designed by simply defining an isotropic margin (e.g., 1 cm), and the CTV is expanded by this margin to create the PTV (Fig. 15-4). This expansion should be performed in three dimensions because expansion of contours only in the axial plane will lead to PTVs that are not correct in the third dimension. If the uncertainties are not isotropic but are larger in one direction than in the others (e.g., due to respiration), then the margin to be applied should be anisotropic.
There has been a great deal of work studying patient positioning, motion, and target volume delineation errors, and analysis of these issues has led to specific recommendations for the size of the margin (between the CTV and the PTV) that should be used for the PTV. As described in Consideration of Setup Error and Patient Motion, one reasonable method for deciding the PTV-CTV margin has been determined to be 2.5 × Σ + 0.7 × σ, where Σ is the standard deviation of the systematic error and σ is the standard deviation of the random errors for the population of patients treated in that particular site.73 To apply this formula, it is important to have measured, for your institution and each clinical site, the two standard deviations. As can be seen from the formula, the systematic errors in the process, such as incorrect contouring or use of a nonrepresentative CT scan for target delineation, are much more important issues than random day-to-day setup errors.
Normal Tissues
Multiple Imaging Modalities: Dataset Registration and Fusion
Several issues need to be solved to make quantitative use of the additional imaging information.
No matter what kind of registration algorithm is used, it is necessary to verify the registration and then to use the data from the various imaging studies. Verification typically consists of image-based or structure-based comparisons between the two datasets, with the goal of confirming that known structures from the two imaging studies accurately line up (Fig. 15-5). The quality of the registration depends on what parts of the images are most important clinically and must be reviewed by the planner/physician because at this point, no quantitative measure accurately takes into account all the clinical knowledge of the case. Once the registration is verified, then contours or 3D structure definitions from one dataset can be transferred into the base coordinate system for planning. This combination of data from multiple imaging sources is sometimes called image fusion.
Motion, Setup, and Four-Dimensional Anatomy
Several methods to handle motion and setup effects are in use or being investigated:
Over the next several years, a great deal of technical progress can be expected in this area.
Plan and Beam Definition
Beam Technique (Energy, Direction, and Type)
Shaping with Blocks and Multileaf Collimator
Although beam directions are important, shaping the radiation field to conform to the shape of the target volume is one of the crucial and defining concepts for “conformal therapy.” The shaping can be accomplished equally well by focused blocks or with an MLC, as illustrated in Figure 15-6. The conformal shaping of focused blocks is in fact “more conformal” than the jagged shape created by an MLC, although the MLC has a number of other advantages that have led to its popularity.
The routine use of conformally shaped fields designed during treatment planning depends in large part on the availability of the BEV display in the planning system because this view of the target shows the projection of the shape of the targets from the point of view of the radiation beam, which is what is needed to design field shaping. The simplest method used to conformally shape the fields (with either blocks or MLC) is to create a uniform geometric margin around the projection of the targets in the BEV and to set the shape to that margin, as shown in Figure 15-7. This method, the basis of the simplest type of conformal therapy, is sometimes called geometric conformation, or beam’s-eye view, targeting. Shaping a block to a given contour is easy, but with an MLC it is more complicated38: The most commonly used method is the so-called equal area method (Fig. 15-7).
Using a uniform geometric margin for the field shaping does not lead to the most conformal dose distribution. To truly conform the dose distribution to the target, one must optimize the shaping of each of the beams so that the dose distribution is conformal. Figure 15-8 demonstrates the types of differences that occur when beam shapes are designed with a uniform margin and when the shapes are optimized to conform the dose to the target. Beam directions, the penumbra, and how the beams cross fire on the target affect the margins required for individual beam shapes.
It is possible to create intensity-modulated beams using a limited number of MLC-shaped “segments” all from the same gantry angle. This “segmental” IMRT can be created using the normal interactive planning paradigm (“forward planning”)74 or the limited number of segments can be created by an inverse planning paradigm (see, e.g., “direct aperture optimization”).75 The use of a few segments to improve target homogeneity (e.g., in the treatment of breast cancer with tangential fields) is a logical extension of the concept of wedged tangents when 3D planning is available.
Other Beam Technique Decisions
There are numerous other decisions to be made when creating the plan.
Intensity-Modulated Radiation Therapy
Soon after conformal therapy began to be used clinically in the late 1980s, Brahme,54 Bortfeld,55 and others introduced the idea of modulating the intensity across each radiation beam, assisted by computer-based optimization algorithms to help determine the intensities required of the different parts of the beam. IMRT is now commonly used to create highly conformal treatment plans.
Intensity-modulated fields can be achieved in a number of different ways. There is a continuum of situations ranging from a flat field to multiple shaped segments to a beamlet-type description created by either a series of SMLC segments or a dynamic DMLC sequence. For plan optimization strategies, there is a similar range from simple (forward) iterative planning to optimized (inverse) planning that is driven completely by a mathematical cost function. Typically, the most complex intensity distribution (IMRT) is generated with inverse planning, but it is also possible to perform optimization for flat field conformal therapy.77
Dose Calculations
Algorithms
Many different types of calculation algorithms have been developed for photon and electron beams, and new improvements or implementations are continually becoming available. It is beyond the scope of this text to describe any algorithms in detail. Algorithms ranging from simple table look-ups based on measured data to Monte Carlo simulations that require many hours of central processing unit (CPU) time of the fastest computers all have their place and are the appropriate choice of algorithm for one particular situation or another. Table 15-2 summarizes some of the advantages and disadvantages of each class of photon algorithm. If there is a choice of algorithms for conformal planning, the choice should be made with careful consideration of the potential limitations of the chosen algorithm, and the radiation oncology physicist should carefully commission the algorithm for clinical use by comparison with appropriately measured data for the local machines in order to demonstrate the adequacy and limitations of the algorithm for clinical use.88
Plan Evaluation Tools
Dose Display
The most commonly used type of display of the dose distribution for a plan consists of displaying contour lines of constant dose, or “isodose lines,” on top of the anatomic information that was used for the plan. These kinds of displays have been used for many years—first with only the contours of the patient (obtained by hand measurement using solder wire or other techniques) and then later displaying the isodose lines on top of the CT scan. For conformal planning, not only axial cuts should be used for the isodose lines but also coronal and sagittal reformatted CT images, because display of isodose lines on multiple orthogonal cuts can give the planner a more 3D sense of the coverage of the target volume. 3D graphics techniques can be used to put the images and dose lines in 3D perspective, as shown in Figure 15-9. A variation of the isodose line display is the colorwash display, in which the dose level calculated for each pixel of the image is used to assign a color value (see Fig. 15-9C).
The goal of conformal therapy is typically to conform the shape of the high-dose region to the target in three dimensions, so display of the 3D dose distribution shape may be a help when evaluating the conformality of the plan. The 3D analog of an isodose line is called an isodose surface. Also, isodose surfaces, sometimes called “dose clouds,” are typically displayed in a 3D perspective graphic image (see Fig. 15-9D).
Dose-Volume Histograms
Review and evaluation of the dose throughout the patient in three dimensions can be complex and time-consuming processes, and it is also difficult to give specific guidelines for normal tissue or tumor responses with respect to that complex data. It has become standard to evaluate the dose received by the target volumes and normal tissues using DVHs. To form a DVH for any 3D object, one looks at the dose value for each voxel in the object and forms a histogram, counting the number of voxels that receive each different dose level. Because the volume of each voxel is known, the volume of the organ receiving each dose level is known. See the review by Kessler89 for more detail.
Minimum, Maximum, and Other Quantitative Metrics
DVHs are only one kind of dosimetric analysis that can be used for conformal planning, and many other kinds of analysis are possible. For example, simple dosimetric metrics are often used to help make planning decisions. The maximum dose allowed within a target volume, or inside critical organs, is often specified in conformal therapy protocols. Particularly for IMRT conformal plans, the maximum dose may be a fairly difficult metric to use clinically because it may depend strongly on the dose calculation grid spacing used and on details of the dose calculation algorithm implementation. A volume-based maximum dose criterion (e.g., the maximum dose to 1 cc of the object) is typically less sensitive to algorithmic details. Similarly, the minimum dose to the PTV is subject to the same algorithm-related limitations and may be of limited value, particularly for IMRT planning. Another common dose metric is the mean dose to a structure, often used to describe target doses and for certain volume-effect organs such as the lung and liver, where the normal tissue complication probability (NTCP) generally scales with the mean dose to the normal tissue.90
Use of Equivalent Uniform Dose (EUD) and “Biologic Models”
There are many kinds of models that have been developed for the NTCP, and these models have been applied to specific complications for many different organs. Discussion of these different models is beyond the scope of this work, and here we briefly describe only the most well known model, the Lyman NTCP model. John Lyman developed the three-parameter “Lyman” model early in the 1980s.91,92 This power law model is a phenomenologic model that characterizes complications using three parameters: TD50 for uniform irradiation, the slope of the dose sensitivity (n), and the volume parameter (m):
where
To use this model for a real clinical DVH, one typically uses the Kutcher-Burman DVH reduction method93 to convert the clinical DVH curve into a DVH with a single dose and volume, which are then used inside Equation 1. Together, these techniques are typically called the LKB (Lyman-Kutcher-Burman) model.
When developing this model, Lyman made no claim that it was a real biologic model; he simply developed the simplest model that agreed with some of the most basic behavior of NTCPs, at least as characterized at that time. The model has been used extensively, either as a way to characterize complication data or for plan evaluation and comparison. A very important starting point for study of NTCPs of various organs was published by Emami,94 who summarized a tabulation of then current knowledge of clinical complication expectations (based on a physician working group) using Lyman NTCP model parameters. Recently, complication data and parameterizations for many clinical sites have been reviewed by site-specific groups of experts in order to provide updated complication modeling information.95 The Lyman model has proven to be a useful way to parameterize clinical NTCP data and has been used as part of dose escalation studies based on treating patients with a specific isocomplication level (for liver96 and lung97).
Just as the dose-volume-effect relationship is important to know for normal tissues, it is also very important to know for the tumor. The tumor control probability (TCP) is the subject of clinical studies and modeling and is a way of comparing expected tumor responses with planned dose distributions. A number of different models exist, including the Niemierko-Goitein98 and Nahum99 TCP models. Most of these models use various basic assumptions about tumor cell density and distribution, the statistical interactions between dose and tumor cell survival, and the incorporation of population-based statistics for tumor heterogeneity, and may also consider effects that depend on tumor stage, hypoxia, and other issues. Tumor cell biology and predicting local tumor control are very complicated subjects that are well beyond the abilities of current models. TCP modeling is used in a reasonably limited way because it is known that the predictions are of limited accuracy.