Chapter 1
Basic Principles of Internal Dosimetry Calculations
Paracelsus, born Philippus Aureolus Theophrastus Bombastus von Hohenheim in 1493, is regarded as the “father of toxicology.” He is associated with the quote “Everything is poison, there is poison in everything. Only the dose makes a thing not a poison.” In the science of radiation protection, the quantity of central focus is dose, which has a very specific definition, to be given shortly. Many radiation effects, be they positive or negative, are generally related to the dose of radiation that a person, animal, or other biological entity has received. Indeed, dose to physical structures can produce radiation damage at high enough levels as well. Thus, radiation protection professionals (health physicists)* focus much of their daily efforts in evaluating radiation doses and their possible consequences. However, as we will see, this quantity dose in radiation protection is often modified by certain factors to account for specific biological responses, and so is an imperfect, although necessary, quantity to calculate or measure.
Radiation doses may be received from external or internal sources. This text is devoted to the evaluation of internal doses (most appropriately called internal dose assessment rather than dosimetry, as measurements are typically not involved; nonetheless, internal dosimetry is the term generally used), and specifically internal doses received due to the practice of nuclear medicine. Internal exposures to radioactive materials also occur in some industrial practices; while all of the principles involved in the calculations are the same, the applications are different and will not be treated in much detail in this text.
Quantities and Units
The basic quantity of radiation dosimetry is absorbed dose, which is just the energy absorbed by any object per unit mass of the object. Absorbed dose is relevant for any kind of radiation being absorbed by any kind of matter. Of course, we are mostly interested in the absorbed dose to human tissue, but one may calculate the absorbed dose to any material (e.g., air, water, wood). The textbook definition of absorbed dose is:
where dε is the differential energy deposited in mass dm. So, for any application, we just need to calculate how much energy is absorbed by an object and divide by its mass. The quantity of absorbed dose is the gray (Gy), which is 1 J/kg. In internal dose calculations, our objects are either normal tissues or tumors, although we may also be interested in dose to different regions of organs (e.g., kidney medulla vs. kidney cortex), and we can even go to the voxel level to calculate doses to very small portions of organs, depending on the resolution of our images. Many ...