29.7 Medical Applications of Radiation 95929.7 MEDICAL APPLICATIONS OF RADIATIONRadiation Damage in MatterRadiation absorbed by matter can cause severe damage. The degree and kind ofdamage depend on several factors, including the type and energy of the radiationand the properties of the absorbing material. Radiation damage in biologicalorganisms is due primarily to ionization effects in cells. The normal function of acell may be disrupted when highly reactive ions or radicals are formed as the resultof ionizing radiation. For example, hydrogen and hydroxyl radicals producedfrom water molecules can induce chemical reactions that may break bonds inproteins and other vital molecules. Large acute doses of radiation are especiallydangerous because damage to a great number of molecules in a cell may cause thecell to die. Also, cells that do survive the radiation may become defective, whichcan lead to cancer.In biological systems, it is common to separate radiation damage into two categories:somatic damage and genetic damage. Somatic damage is radiation damageto any cells except the reproductive cells. Such damage can lead to cancer at highradiation levels or seriously alter the characteristics of specific organisms. Geneticdamage affects only reproductive cells. Damage to the genes in reproductive cellscan lead to defective offspring. Clearly, we must be concerned about the effect ofdiagnostic treatments, such as x-rays and other forms of exposure to radiation.Several units are used to quantify radiation exposure and dose. The roentgen(R) is defined as that amount of ionizing radiation which will produce 2.08 10 9ion pairs in 1 cm 3 of air under standard conditions. Equivalently, the roentgen isthat amount of radiation which deposits 8.76 10 3 J of energy into 1 kg of air.For most applications, the roentgen has been replaced by the rad (an acronymfor radiation absorbed dose), defined as follows: One rad is that amount of radiationwhich deposits 10 2 J of energy into 1 kg of absorbing material.Although the rad is a perfectly good physical unit, it’s not the best unit formeasuring the degree of biological damage produced by radiation, because thedegree of damage depends not only on the dose, but also on the type of radiation.For example, a given dose of alpha particles causes about 10 times more biologicaldamage than an equal dose of x-rays. The RBE (relative biological effectiveness)factor is defined as the number of rads of x-radiation or gamma radiation that producesthe same biological damage as 1 rad of the radiation being used. The RBEfactors for different types of radiation are given in Table 29.3. Note that the valuesare only approximate because they vary with particle energy and the form ofdamage.Finally, the rem (roentgen e quivalent in man) is defined as the product of thedose in rads and the RBE factor:Dose in rem dose in rads RBEAccording to this definition, 1 rem of any two kinds of radiation will produce thesame amount of biological damage. From Table 29.3, we see that a dose of 1 rad offast neutrons represents an effective dose of 10 rem and that 1 rad of x-radiation isequivalent to a dose of 1 rem.TABLE 29.3RBE Factors for Several Types of RadiationRadiationRBE FactorX-rays and gamma rays 1.0Beta particles 1.0–1.7Alpha particles 10–20Slow neutrons 4–5Fast neutrons and protons 10Heavy ions 20
960 Chapter 29 Nuclear <strong>Physics</strong>APPLICATIONOccupational RadiationExposure LimitsAPPLICATIONIrradiation of Foodand Medical EquipmentAPPLICATIONRadioactive Tracersin MedicineAPPLICATIONRadioactive Tracers inAgricultural ResearchLow-level radiation from natural sources, such as cosmic rays and radioactiverocks and soil, delivers a dose of about 0.13 rem/year per person. The upper limitof radiation dose recommended by the U.S. government (apart from backgroundradiation and exposure related to medical procedures) is 0.5 rem/year. Many occupationsinvolve higher levels of radiation exposure, and for individuals in theseoccupations, an upper limit of 5 rem/year has been set for whole-body exposure.Higher upper limits are permissible for certain parts of the body, such as thehands and forearms. An acute whole-body dose of 400 to 500 rem results in a mortalityrate of about 50%. The most dangerous form of exposure is ingestion or inhalationof radioactive isotopes, especially those elements the body retains andconcentrates, such as 90 Sr. In some cases, a dose of 1000 rem can result from ingesting1 mCi of radioactive material.Sterilizing objects by exposing them to radiation has been going on for at least25 years, but in recent years the methods used have become safer to use and moreeconomical. Most bacteria, worms, and insects are easily destroyed by exposure togamma radiation from radioactive cobalt. There is no intake of radioactive nuclei byan organism in such sterilizing processes, as there is in the use of radioactive tracers.The process is highly effective in destroying Trichinella worms in pork, salmonellabacteria in chickens, insect eggs in wheat, and surface bacteria on fruits and vegetablesthat can lead to rapid spoilage. Recently, the procedure has been expanded to includethe sterilization of medical equipment while in its protective covering. Surgical gloves,sponges, sutures, and so forth are irradiated while packaged. Also, bone, cartilage, andskin used for grafting is often irradiated to reduce the chance of infection.TracingRadioactive particles can be used to trace chemicals participating in various reactions.One of the most valuable uses of radioactive tracers is in medicine. For example,131 I is an artificially produced isotope of iodine. (The natural, nonradioactiveisotope is 127 I.) Iodine, a necessary nutrient for our bodies, is obtained largelythrough the intake of seafood and iodized salt. The thyroid gland plays a majorrole in the distribution of iodine throughout the body. In order to evaluate theperformance of the thyroid, the patient drinks a small amount of radioactivesodium iodide. Two hours later, the amount of iodine in the thyroid gland is determinedby measuring the radiation intensity in the neck area.A medical application of the use of radioactive tracers occurring in emergencysituations is that of locating a hemorrhage inside the body. Often the location ofthe site cannot easily be determined, but radioactive chromium can identify thelocation with a high degree of precision. Chromium is taken up by red blood cellsand carried uniformly throughout the body. However, the blood will be dumped ata hemorrhage site, and the radioactivity of that region will increase markedly.The tracer technique is also useful in agricultural research. Suppose the bestmethod of fertilizing a plant is to be determined. A certain material in the fertilizer,such as nitrogen, can be tagged with one of its radioactive isotopes. The fertilizeris then sprayed onto one group of plants, sprinkled on the ground for asecond group, and raked into the soil for a third. A Geiger counter is then used totrack the nitrogen through the three types of plants.Tracing techniques are as wide ranging as human ingenuity can devise. Presentapplications range from checking the absorption of fluorine by teeth to checkingcontamination of food-processing equipment by cleansers to monitoring deteriorationinside an automobile engine. In the last case, a radioactive material is usedin the manufacture of the pistons, and the oil is checked for radioactivity to determinethe amount of wear on the pistons.Computed Axial Tomography (CAT) ScansThe normal x-ray of a human body has two primary disadvantages when used as asource of clinical diagnosis. First, it is difficult to distinguish between various typesof tissue in the body because they all have similar x-ray absorption properties.
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876 Chapter 27 Quantum PhysicsSolve
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A.1 MATHEMATICAL NOTATIONMany mathe
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A.3 Algebra A.3by 8, we have8x8 32
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APPENDIX BAn Abbreviated Table of I
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An Abbreviated Table of Isotopes A.
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Some Useful Tables A.15TABLE C.3The
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IndexPage numbers followed by “f
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Current, 568-573, 586direction of,
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Index I.5Fissionnuclear, 973-976, 9
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South poleEarth’s geographic, 626
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PHYSICAL CONSTANTSQuantity Symbol V