Ce 137 has a half life of 9 hours.
Basically, Strontium gets picked up and the body looks at it and says, hey this looks like Calcium, and then ships it off to the bones, where it sits for about 30 years. Basically biological half life is the amount of time until the body replaces itself or something like that (my background was nuclear). Supposedly you fully replace your body once every seven years, which actually helps and hurts us when it comes to radiation.
Anyhow, basic nuclear decay is that all atoms want to be stable, and if they're not stable they'll do something to get stable by emitting radiation. Really large atoms typically either undergo spontaneous fission (Plutonium typically does this) or they emit an alpha particle (that's helium). If the atom has too many neutrons for the number of protons it will typically decay via beta minus decay, which is where it shoots out an electron and then one of the neutrons magically turns into a proton. If it has too few protons it will undergo electron capture and a proton will literally eat an electron and convert into a neutron. After all of these events there is a chance for the nucleus to have excess energy which it will typically shed off by a process known as isomeric transition, where it then shoots out photons of varying strength. During the other decay processes the atom will sometimes shoot out photons and neutrinos and other odd things. There are a couple very rare decay methods that I didn't mention, but this covers the vast majority of them. Co60 is feared because it kicks off a pair of 2.5 MeV gamma rays in addition to a beta when it decays with a half life of around 5 years. Co 60 is what they calculate shielding values for because it has the greatest penetration capacity.
Atoms that undergo SF are the worst because they produce massive highly ionized atoms that cause a massive ionic resonance in the affected region which damages molecular bonds. However exposure to atoms that undergo SF is rare. The lightest element I saw was Thorium. Alpha however is much more typically encountered, and accounts for the majority of non-solar exposure. It's the active mover in radon decay daughters, which is why you should get your house screened for radon. The Helium is ionized, so it has a +2 charge which pulls various electrons out of place and causes other issues. Also because of its mass it interacts strongly with matter. Beta are simply electrons (not beta positive, those are actually anti-matter particles but that's a rare reaction). Because electrons are so much less massive than protons and neutrons, they can go further without interacting with matter (and thus better penetrate shielding). This is why alpha does absolutely nothing while outside the body, while beta can actually give you a sun burn. Gamma (that's a photon) has no mass, and no charge, so it can only interact with matter if it scores a direct or near direct strike. It is capable of energizing an electron to break it out of orbit, or it could just energize it a little bit, and then keep going. Or if it's a sufficiently strong photon and it passes near enough to a large enough nucleus, it will split into an electron and a positron (electron anti-matter particle). Every once in a while (1 in a million) it will make 2 electrons because the universe has a slight preference for matter (or we wouldn't exist). Gamma rays occupy the far end of the electromagnetic spectrum, with radio on the far opposite side. Visual light is also in this spectrum. The final type of radiation is produced during nuclear fission, and that's neutron radiation. Neutrons come in two flavors, fast and thermal. Fast ram into molecules and break them apart or vibrate them (this slows them down and eventually makes them thermal). Thermal are moving at ambient temperature speed, but they can get picked up by other atoms and transmute them into things that are unstable. This is why objects subjected to a neutron flux are considered radioactive (even if they're not).
In all of these instances particle strength determines how much ionizing occurs. It's kind of like hitting a bell, the harder you hit it the longer it reverberates and the louder it is. The good thing is that our body can heal damage from this, and if it can't there's a good chance the cell in question will just die. There's also a chance that no damage at all will occur or that anything will even happen. This is why number of particles matters in addition to their types. Also why typically we talk about contamination in either Curie count or Bq.
For more information than you'll ever be able to use on nuclear stuff you need a chart of the nuclides. The one I use is online and located here:
http://www.nndc.bnl.gov/chart/reCenter.jsp?z=90&n=142It's like the periodic table of elements on crack. It lists every possible combination for an atom to possess. The rows are number of protons (the element) the columns are total nucleons. The other stuff is decay type, prevalence, half life, energy levels, neutron cross section of absorption, Q-value, and other physics stuff that would take me several hours to talk about sufficiently.
TL:DR; Use link above, The half life will cut radiation emitted in half because the atom radiating is no longer the same atom, and if stable does nothing. If the box is black it's stable. e means diagonal down and right 1 each, b- means diagonal up and left 1 each. a means down and left 2 each. Black box means its done.