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Correlation of breast dose heterogeneity with breast size using 3D CT planning and dose-volume histograms.

The aim of this study was to evaluate the effect of breast size on dose heterogeneity. Twenty women underwent a planning CT scan of the thorax. A three-dimensional treatment plan was devised for each patient using a standard technique of isocentric medial and lateral wedged tangential fields. Three-dimensional dose distributions were derived using an equivalent path length (EPL) inhomogeneity correction and cumulative dose-volume histogram (DVH) data calculated for the breast. Analysis of the DVHs for each patient reveals that 0.2-23.8% of the breast received an absorbed dose outside the desired 95-105% of that prescribed at the isocentre. The degree of dose heterogeneity was most strongly correlated with breast volume (r = 0.70, 95% confidence interval (C.I.) 0.37-0.87). There was also a positive correlation for breast dose heterogeneity versus brassière (bra) cup size (Spearman rank correlation rho = 0.62), breast area (r = 0.39, 95% C.I. -0.06-0.71) and chest wall separation (r = 0.31, 95% C.I. -0.15-0.66). We conclude that breast size is an important determinant of dose heterogeneity within the breast.

Anthropometry↗

The effect of patient motion on dose uncertainty in charged particle irradiation for lesions encircling the brain stem or spinal cord.

A specialized charged-particle radiotherapy technique developed at Lawrence Berkeley Laboratory (LBL) is applied to patients with lesions abutting or surrounding the spinal cord or brain stem. This technique divides the target into two parts, one partially surrounding the critical structure (brain stem or spinal cord) and a second excluding the critical structure and abutting the first portion of the target. Compensators are used to conform the dose distribution to the distal surface of the target. This technique represents a novel approach in treating unresectable or residual tumors surrounding the spinal cord or brain stem. Since the placement of the patient with respect to beam-shaping devices is critical for divided-target treatments, a method for calculating dose distributions reflecting random patient motion is proposed, and the effects of random patient motion are studied for two divided-target patient examples. Dose-volume histograms and a normal-tissue complication probability model are used in this analysis. For the patients considered in this study, the normal-tissue-complication probability model predicts that random patient motion less than or equal to 0.2 cm is tolerable in terms of spinal cord complications.

Central Nervous System Neoplasms↗

Disposition of cerebral metastases from malignant melanoma: implications for radiosurgery.

Radiosurgery is becoming more generally available and indications for its use continue to be defined. Cerebral metastases from malignant melanoma are often treated with whole-brain irradiation, but with limited benefit. Innovative treatments, such as radiosurgery, make possible the delivery of doses of radiation that are higher than usual. To determine how many patients might be candidates for radiosurgery, a retrospective analysis of computed tomographic brain scans performed on 41 patients with cerebral metastases from malignant melanoma was undertaken. One-third of these patients were found to have cerebral metastases amenable to a radiosurgical approach, as illustrated radiation dose-volume histograms. Patient and tumor characteristics suggest that this series is represent with cerebral metastases from malignant melanoma. The implications of radiosurgery for normal tissue radiation tolerance and its effects on melanoma are discussed.

Adult↗

Dose-volume and complication in interstitial implants for breast carcinoma.

A common radiotherapeutic technique for treating breast cancer is the combination of external beam radiation with an interstitial iridium-192 boost. When smaller tumors (T1 and T2) are treated using this technique, the soft tissue complication rate is small. However, with treatment of more advanced stages of disease, where large volumes of breast tissue must be treated to high radiation doses, the incidence of complication increases. This paper investigates the dose and volume relationships for breast tissue treated by interstitial technique and correlates this to the risk of soft tissue radiation injury. A method of analysis of interstitial radiation implants suitable for intra- or inter-institutional clinical evaluations is offered. The records of 111 patients treated at Georgetown University Hospital, were retrospectively analyzed and the five who had experienced radiation-related complications were compared to 51 randomly selected patients experiencing no complications. The volumes of tissue enclosed by selected isodose surfaces were calculated and used to determine a relationship between these dose-volumes and the probability of complication. The mean volume at specified dose levels between 10 Gy and 50 Gy was significantly higher (p less than .05) for the patients developing complications than those in whom no complications were seen. Using the 20 Gy isodose surface as defining our usual treated volume, a complication probability versus dose-volume curve was developed using a linear logistic model. The curve fitted the data closely (p less than .006) suggesting that, for our cases, the calculated treatment volume (within the 20 Gy isodose surface) can be used to effectively separate patients into groups that have different probabilities of developing complications. We propose this method as a basis for specification of dose and volume which can be used for clinical risk assessment, and for intra- and inter-institutional comparison.

Brachytherapy↗

Treatment of cancers involving the liver and porta hepatis with external beam irradiation and intraarterial hepatic fluorodeoxyuridine.

A Phase I/II clinical trial was designed for patients with malignancies of the liver and porta hepatis. This protocol employed three concepts: a) boost treatment to gross tumor within the liver for selected patients, determined by the dose-volume histogram (DVH) of the normal liver that would be irradiated by boost treatment; b) concurrent use of intraarterial hepatic 5-fluorodeoxyuridine (FdUrd) as a radiosensitizer; and c) hyperfractionation (1.5 Gy fractions given bid greater than 4 hr apart). This report describes the results of treatment of the first 33 patients entered onto this study, with a minimum follow-up of 1 year. Twenty patients received only whole liver irradiation (33 Gy). Thirteen patients were treated with whole liver irradiation (30 Gy) plus a 15 Gy (6 patients) or 30 Gy (7 patients) boost (total 45 Gy and 60 Gy to the tumor, respectively). Forty-eight percent of the evaluable patients (14/29) had an objective response, based on CT scan. The median duration of response was 8 months. The chief toxicities were fatigue, nausea, gastritis, and diarrhea, which were less than or equal to grade 2 in severity. Two patients developed mild radiation hepatitis which was treated successfully with diuretics. These data suggest that the treatment of intrahepatic malignancies can be guided by the concept of DVH analysis of the normal liver to allow the safe administration of doses of radiation that are potentially tumoricidal and are well above those that would be predicted to be tolerable for the whole liver.

Adenoma, Bile Duct↗

Dose-volume correlation in radiation-related late small-bowel complications: a clinical study.

The effects of the volume of irradiated small bowel on late small-bowel tolerance was studied, taking into account the equivalent total dose and type of pre-irradiation surgical procedure. A method was developed to estimate small-bowel volumes in the high-dose region of the radiation treatment using CT-scans in the treatment position. Using this method small-bowel volumes were measured for three-field and AP-PA pelvic treatments (165 cm3 and 400 cm3, respectively), extended AP-PA pelvic treatment (790 cm3), AP-PA treatment of para-aortic nodes (550 cm3) and AP-PA treatment of para-aortic and iliac nodes (1000 cm3). In a retrospective study of 111 patients irradiated after surgery for rectal or recto-sigmoid cancer to a dose of 45-50 Gy in 5 weeks, extended AP-PA pelvic treatment (n = 27) resulted in a high incidence of severe small-bowel complications (37%), whereas for limited (three-field) pelvic treatment (n = 84) the complication rate was 6%. These complication data together with data from the literature on postoperative radiation-related small-bowel complications were analysed using the maximum likelihood method to fit the data to the logistic form of the dose-response relation, taking the volume effect into account by a power law. The analysis indicated that the incidence of radiation-related small-bowel complications was higher after rectal surgery than after other types of surgery, which might be explained by the development of more adhesions. For both types of surgery a volume exponent of the power-law of 0.26 +/- 0.05 was established. This means that if the small-bowel volume is increased by a factor of 2, the total dose has to be reduced by 17% for the same incidence of small-bowel complications.

Carcinoma↗

Role for proton beam irradiation in treatment of pediatric CNS malignancies.

The ability to vary the proton energy (depth of beam penetration) and modulate the dose distribution at the end of range permits delivery of an increased dose to the designated cancer-containing volume with a reduced dose to overlying normal brain tissue. The evolution of childhood CNS malignancy following therapy is reviewed to identify radiation response variables indicating where the proton dose distribution will improve the therapeutic ratio. The review documents that of the 1262 children expected to develop CNS malignancy in 1989, only 43% will survive 5 years. About 75% of those with medulloblastoma and over 90% with astrocytoma die from persistent (in-field) disease. When the patient has been treated with radiation, it is accepted that disease persistence indicates the cancer dose was insufficient. Potentially 536 children could show an improved incidence of local control and improved survival from an increased cancer dose available from proton irradiation. As the total dose and volume of brain irradiated is increased about 1800 cGy, brain dysfunction increases, producing a spectrum of functional and intellectual deficits which are age and volume related. About 900 irradiated patients would have fewer in-field histologic and functional changes if the dose to normal brain, or the volume of brain irradiated, is reduced by an improved dose distribution. A proton beam treatment plan, delivering a cancer dose of 7400 cGy, is simulated for a thalamic astrocytoma. The dose distribution of this plan is compared with an x-ray plan used to treat a patient, in which a dose of 5400 cGy was delivered to the astrocytoma. Comparative isodose distributions and dose-volume histograms indicate a decreased integral dose to normal brain and a decreased volume of normal brain irradiated, even as the cancer dose is boosted 2000 cGy with protons.

Brain Neoplasms↗

Re-irradiation of pituitary adenoma.

Fifteen patients initially irradiated for pituitary adenoma were subsequently treated with a second course of radiotherapy at the University of California at San Francisco between 1961 and 1989. The re-irradiation followed surgery in all but two cases. The median time to recurrence was 9 years (range 2-17) and median follow-up after the second course of radiotherapy was 10 years (range 1-30). The median initial radiation dose was 4084 cGy; that at recurrence was 4200 cGy. Local control has been maintained in 12 patients. One failed locally with a benign adenoma that was surgically salvaged. Two developed pituitary carcinomas which were poorly controlled. Of the patients who presented with visual abnormalities at the time of recurrence, 50% improved and the remainder stabilized after re-irradiation. There are no long-term visual complications. Hypopituitarism was present in nine patients prior to the second course of radiotherapy and developed in the remaining six patients after re-irradiation. Temporal lobe injury was seen in two patients. Careful analysis of each patient's pituitary and temporal lobe doses, intervals between treatments, treatment volume, neurets, relative decay factors, absolute decay factors, TDF and modified LQF values, and dose-volume relationships, revealed no correlation with complication or likelihood of local control. Repeat radiotherapy for recurrent pituitary adenoma with the doses used in these patients appears to carry acceptable risk with good local control.

Adenoma↗

The objective evaluation of alternative treatment plans. III: The quantitative analysis of dose volume histograms.

The computer program OSCAR evaluates dose-volume histograms in a consistent way for use in 3-dimensional treatment planning. Based on a dose prescription specified by a radiation oncologist, the technique provides a quantitative and easily understood visual analysis of a proposed dose distribution. Rapid, reliable, and consistent choices can be made between alternative treatment plans, and if necessary the results of OSCAR calculations can be used to guide the design of a plan that will be closer to the required prescription. The method is well suited to use in the definition of treatment protocols. The use of OSCAR is demonstrated by applying it to the evaluation of alternative volumetric treatment plans for ca lung. The results demonstrate the importance of using corrections for inhomogeneous tissue density in the calculation of 3-dimensional dose distributions.

Computer Graphics↗

Indications for and the significance of seminal vesicle irradiation during 3D conformal radiotherapy for localized prostate cancer.

PURPOSE: To evaluate the use of pretreatment prostate specific antigen, Gleason score, and clinical stage as predictors of the risk of seminal vesicle involvement in patients with clinically localized prostatic cancer, and to determine the impact of excluding the seminal vesicles on the dose received by surrounding normal tissues. METHODS AND MATERIALS: An empirically derived equation combining the preoperative prostate specific antigen and Gleason score was applied to 188 patients treated with radical prostatectomy, for whom pathologic evaluation of the seminal vesicles was available. High and low risk groups for seminal vesicle involvement were defined using this equation. The observed risks of seminal vesicle involvement was compared to the predicted risk using the preoperative prostate specific antigen, Gleason score or clinical stage alone or using the empirical equation. Dose-volume histograms for five patients treated using six-field conformal radiotherapy were compared including and excluding the seminal vesicles. RESULTS: Using the empirically derived equation, a low risk group of 109 patients was identified with a calculated risk of seminal vesicle involvement of < or = 13% and an observed incidence of 7.3%. Among the high risk group of 79 patients, which included all patients with a calculated risk > 13%, 37% had seminal vesicle involvement (p < 0.001 low vs. high risk). Twenty percent of the rectal volume received on average above 86% of the total dose for the five plans which included the seminal vesicles compared to 68% for the five plans excluding the seminal vesicles. The doses to 40% of the rectal volume were 64% and 37% if the seminal vesicles were included and excluded, respectively. The dose to the bladder and femoral heads was also decreased but to a lesser extent. CONCLUSION: The empirical formula predicts risk of seminal vesicle involvement with a higher degree of significance for a larger number of patients than either Gleason score, clinical stage, or prostate specific antigen alone. Based on an analysis of our first 100 patients treated with definitive conformal therapy alone, approximately 47% of those patients could have been treated excluding the seminal vesicles. Excluding the seminal vesicles may allow us to go to a higher total dose with less rectal toxicity.

Humans↗

The tetrad and hexad: maximum beam separation as a starting point for noncoplanar 3D treatment planning: prostate cancer as a test case.

PURPOSE: In contrast to computer optimized three-dimensional (3D) treatment planning, we have used maximally separated, noncoplanar beams as the starting point for 3D treatment planning of prostate cancer to maximize the rate of dose fall off from the target volume and minimize dose to surrounding tissues. MATERIALS AND METHODS: A planar four-field plan, a planar six-field plan, a tetrad plan, and a hexad plan are analyzed using a 3D treatment planning system which is capable of displaying real-time 3D dose distributions within volume reconstructed data sets (VISTAnet--an extension of the virtual simulator). The tetrad plan is based on the methane molecule and the hexad plan has a minimum separation of 58 degrees on beam entrance. All fields are conformal. The irradiated volume equals the clinical target volume plus a 1 cm margin. Competing plans are compared using cumulative dose-volume histograms and normal tissue complication probabilities. RESULTS: The crossover point, the isodose surface that conforms more to the beams than the target, is introduced and described. The hexad and tetrad plans result in tighter dose distributions when compared to the planar plans with the same number of beams. The tetrad plan treats a volume less than or equal to the planar six-field plan at isodose surfaces above 18% except between 37% and 44% where the tetrad volume is slightly larger. As expected from integral dose considerations, the amount of normal tissue receiving some radiation increases, but the amount receiving clinically significant amounts of radiation decreases as the number of beams increase. The plan involving the largest number of noncoplanar beams results in the tightest isodose distribution. Analysis of rectal and bladder cumulative dose volume histograms does not reveal a clearly superior plan based on normal tissue complication probabilities. CONCLUSIONS: Using basic principles of solid geometry, maximally separated beams without significant overlap on exit or entrance can be designed which minimize clinically significant dose to surrounding tissues and tighten the isodose distribution around the target volume. The emphasis of this treatment plan optimization is geometric in contrast to methods using computer optimization or artificial intelligence.

Humans↗

Dose and volume effects on fibrosis after breast conservation therapy.

PURPOSE: To analyze factors involved in the development of fibrosis in the boost area after breast conservation therapy (BCT) in patients treated with continuous low dose rate iridium implants following 50 Gy whole breast irradiation. METHODS AND MATERIALS: Fibrosis was estimated by palpation in 404 patients by four physicians. The median follow-up (FUP) duration was 70 months (range 30-133 months). Original implant data were used for reconstruction and dose-volume calculations. The total dose of the external whole breast irradiation and iridium implants was expressed in Normalized Total Dose (NTD): the total dose given in fractions of 2 Gy, which is biologically equivalent to the actual dose given according to the linear-quadratic model, using an alpha/beta value of 2 Gy, and 1.5 h for the recovery half-life of sublethal damage repair. To identify predictors of fibrosis we used a proportional odds model in a polychotomous logistic regression analysis. RESULTS: Seven independent factors were identified that were related to the severity of fibrosis: age, duration of FUP, clinical T-size, photon beam energy, NTD level, implant volume, and adjuvant chemotherapy. From the proportional odds model, a volume exponent could be estimated (0.16 +/- 0.04) that enabled us to determine dose-effect relations for different volumes. A 10-fold higher risk of fibrosis was seen when the total dose was above 79 Gy as compared with doses lower than 70 Gy. A fourfold increase in risk of fibrosis was seen for each 100 cm3 increase in irradiated boost volume. The use of adjuvant chemotherapy resulted in a twofold increase in the risk of fibrosis (dose modifying factor approximately 1.08). The application of Co-60 beams had a similar effect. The relative odds for the other factors were smaller (1.4 for each 10 years of older age, and 1.2 for clinical T-size over 20 mm). The FUP-period had a nonlinear effect: relative odds 2.2 at 6 years, 3.6 at 7-8 years, and 2.8 at 9-11 years. The dose rate (mean 0.57, range 0.26-0.89 Gy/h) had no influence on the development of fibrosis and there was no correlation between dose rate and irradiated volume. CONCLUSIONS: To optimize cosmetic results after BCT, both the total dose and the irradiated volume should be kept as low as possible. Minimum effective dose levels still have to be established. The boost volume can be minimized by more conformal brachytherapy techniques and optimal localization. It may be worthwhile to take adjuvant chemotherapy into account in decisions on boost dose levels.

Adult↗

Preliminary results of a prospective trial using three dimensional radiotherapy for lung cancer.

PURPOSE: To evaluate the preliminary results of a prospective trial using three-dimensional (3D) treatment for lung cancer. METHODS AND MATERIALS: Seventy patients with inoperable Stage I through IIIB lung cancer were treated with three-dimensional thoracic irradiation with or without chemotherapy (35% received chemotherapy). Total prescribed dose to the tumor ranged from 60-74 Gy (uncorrected for lung density). All patients were evaluated for local control, survival, and development of pneumonitis. These parameters were evaluated in respect to and compared with three-dimensional parameters used in their treatment planning. RESULTS: With a minimum follow-up of 6 to 30 months, the 2-year cause-specific survival rate for Stages I and II was 90% and 53% for Stage III (no difference between Stages IIIA and IIIB). Patients with local tumor control had a better 2-year overall survival rate (47%) than those with local failure (31%). Volumetrically heterogeneously calculated doses were important to the accurate delineation of dose-volume coverage as there was a wide range of discrepancies between a homogeneously prescribed point dose calculation and the heterogeneously calculated volume coverage of that prescription. High-grade pneumonitis was correlated with the location of the tumor with lower lobe tumors having a much higher risk than those with upper lobe tumors. A critical volume effect and threshold dose were apparent in the development of high-grade pneumonitis. CONCLUSIONS: Three-dimensional therapy for lung cancer has been practically implemented at the Mallinckrodt Institute of Radiology and shows promising results in our preliminary analysis. The incidence of high-grade pneumonitis, however, warrants careful selection of patients for future dose escalation. Future dose escalation trials in lung cancer should be directed to volumes that limit the amount of elective nodal irradiation. However, the volume of necessary elective nodal irradiation remains unknown and should be studied prospectively. Dose escalation trials are indicated and may be facilitated by smaller target volumes.

Adenocarcinoma↗

Proton beams in radiation therapy.

The rationale for study of proton radiation therapy is that, for some anatomic sites and tumors, the treatment volume is smaller; i.e., there is less irradiation of nontarget tissue while the target is included in three dimensions at each treatment session. As a result, the dose to the target can be raised. The consequence is that the tumor control probability improves and the frequency and severity of treatment-related morbidity decrease. These results come about from the physical fact that the proton range in tissue is finite; in comparison, absorption of photons is an exponential function and, hence, some dose is received for the full-beam path through the body. Accordingly, the dose deep to the target for proton treatments can be zero for each beam path. This situation provides a virtually certain means of improving the treatment outcome for selected categories of patients. Experience to date with proton radiation therapy has been quite limited. As of June 1991, the total number of proton radiation-treated patients was 11,763 from the various centers. Of that number, approximately 46% and 32% have been treated for small benign intracranial lesions (principally pituitary adenomas and arteriovenous malformations) and for tumors of the eye, respectively. Thus, only some 2500 patients have been treated for all other tumor types. The results from three centers and approximately 2800 patients with uveal melanoma are that the local control rate was 96% (for failures in-field, marginal, and in other parts of the eye). The local control results for chondrosarcomas and chordomas of the skull base are 91% and 65%, respectively. These percentages compare with some 35% achieved with conventional treatment. Experience with arteriovenous malformations indicates that control of bleeding and disappearance of the lesion are comparable to those achieved by other procedures. The developments from the proton therapy programs have contributed greatly to radiation treatment planning, e.g., the first three-dimensional treatment planning system put into regular clinical use (uveal melanoma), beam's eye view, digital-reconstructed radiograph, dose-volume histograms, and definitions of the uncertainty in dose around any defined point. The potential for clinical gains is high. In May 1991, the Proton Radiation Oncology Group was formed to design, supervise, and coordinate clinical trials and to assist in data analysis. The efficacy of proton radiation therapy will be compared with that of photon therapy of the very highest technology.

Arteriovenous Malformations↗

Alternating conformal neutron and photon irradiation for locally advanced adenocarcinoma of the prostate.

The substantial local failure rate for patients with locally advanced carcinoma of the prostate (LACaP) following photon irradiation, the association of local failure with a poor prognosis, and the promising results of mixed neutron/photon (40%/60%) radiotherapy supplied the rationale for this study. The purpose of this study was to evaluate the combined advantages of mixed neutron/photon (75%/25%) irradiation, 3D treatment planning, as well as fully conformal beam shaping capabilities in reducing the morbidity associated with neutron irradiation. The first 35 patients treated with this technique are the basis for this analysis. After CT stimulation and treatment planning, the normal tissue and target structures were entered into the 3D planning system. The neutron dose was delivered in 15 fractions at 1.0 Gy/fraction (NGy) to the prostate and seminal vesicles (PSV) and 0.6 NGy/fraction to the pelvic lymph nodes (LN). The photon dose was given in 10 fractions of 1.8 Gy each to both the PSV and LN volumes. Neutron and photon dose-volume histograms (DVHs) were generated in each patient for the prostate, seminal vesicles, lymph nodes, bladder, and rectum. The adequacy of the neutron and photon components of the treatment were compared with respect to target volume and normal tissue irradiation. Based on the DVH analysis, the prostate and seminal vesicles received the prescribed dose with both neutrons (99% +/- 2%) and photons (99% +/- 2%). There was no significant difference in the dose to the bladder and rectum for both the neutrons and photons. The acute treatment related reactions have been mild, with only one grade III bladder reaction. The 3D conformal technology utilized in this study has been shown to allow for the delivery of neutron irradiation with no increase in dose to the adjacent normal tissues compared with that achieved with conformal photon treatment. Further follow-up will reveal whether the dosimetric advantage demonstrated by this technique translates into an improved therapeutic ratio.

Adenocarcinoma↗

3-D dose-volume compensation using nonlinear least-squares regression technique.

A method for external beam dose-volume optimization is presented. The Gauss-Marquardt nonlinear least-squares regression technique is applied to compensator design and determination. The dose distribution (uniform or otherwise) desired throughout a volume is specified. Compensators optimized to produce the necessary variation of beam intensity across the surface of each beam are simultaneously determined for all the beams. Solutions for homogeneous dose, homogeneous target dose, and restricted dose to exterior target volume structures, and inhomogeneous target dose cases are presented. Dependence of the results on the number of parameters as well as the role of degree of desirability weighting is explained and illustrated via examples. Discussion of the significance and limitations of this optimization method is also presented.

Humans↗

Dose-surface histograms as treatment planning tool for prostate conformal therapy.

Dose-surface histograms are studied and compared with dose-volume histograms, as an evaluation tool for prostate treatment planning. For thin walled hollow organs, such as the rectum and bladder, the surface area irradiated is a more appropriate measure of the biological effect than the full volume. It is also more accurate and efficient to define the surface for a hollow structure and compute the surface area histograms. Application of the dose-surface histograms provide new insights into prostate treatment planning. A simple idealized geometry model demonstrates that the percentage surface area intersected by the geometric beam edge differs from the percentage volume intersected. For a group of prostate patients, it is shown that the dose-surface histograms yield substantially different results from the dose-volume histograms in ranking four-, six-, and, eight-field treatment plans and in calculating the fraction of the rectum irradiated to high dose. The difference in terms of surface area between these plans in the high-dose region is usually less than that in terms of the volume, and a reverse of plan ranking order can consequently occur. The percentage of organ surface irradiated to high dose is typically greater than the percentage volume by 5% to 10%. The use of the dose-surface histograms in analysis of organ motion and/or patient setup uncertainty, and analysis of rectal complications, is also discussed.

Biophysical Phenomena↗

[The dose-volume factor in radiotherapy. Significance of the focal or tumor volume for the evaluation of radiotherapeutic effect].

The absorbed energy dose, in dependence on the irradiated tissue volume or tumor volume (dose-volume-relations) has great significance for the valuation of radiation injuries and of the prognosis of the disease. The present paper includes an analysis, formal demonstrations and interpretation of these relations. Clinical observations and radiobiological experiments in literature were the basis of the present investigation. The assessment is kept simple, the models derived from it interprete well the clinical findings. Through these models, radiobiological findings and clinical experimental principles are connected. This results in a clear conception of the future development of irradiation planning, and the application technique of radiation. The range of validity of the cited models includes the treated volumes usual in radiotherapy. An extrapolation to the cellulary area or to the whole body may only be made with great reservations.

Humans↗