Poppert - You would be amazed how many doctors don't understand !hematopoiesis!
Hematopoiesis is the process by which all blood cells are made. Describing it here would take many pages. A good reference is here:
https://en.wikipedia.org/wiki/Haematopoiesis
Essentially - the hematopoietic stem cell (HSC) divides upon receiving a protein signal to divide into two cells, one will self renew and the other will establish the subsequent blood cells lines , both lymphoid and myeloid. CML is a disease of the myeloid line (where neutrophils, red blood, platelets, etc. get created).
During faulty division, a translocating error can occur creating the philadelphia chromosome and bcr-abl gene (9;22 translocation). This new cell is the leukemic stem cell (LSC) and when it divides, it establishes a new line of myeloid projenitors containing the philadelphia chromosome. This chromosome has the bcr-abl gene which codes for a tyrosine kinase (a protein) which tells white blood cells (neutrophils especially) to divide unchecked. This is the disease.
What's important to keep in mind is that HSC's and LSC's can lay dormant for many years dividing only when the daughter cells are not keeping up with demand. For example, a trauma where sudden blood loss occurs, or a disease triggering a dramatic need for more fighting cells. When CML goes out of control, it's not the LSC's that are causing it, it's their daughter pluripotent cells run amok.
During cell division, however, the demand for energy to divide in the form of ATP is very high. This is how our TKI kills them. Gleevec, tasigna, sprycel, all bind to the white blood cells ATP site and cause cell death (apoptosis). But only the ATP site in CML cells. In normal cells, the ATP site is differently shaped (lock and key idea) and so they are unaffected (for the most part).
The only time leukemic stem cells are susceptible to TKI attack is during cell division - which is rare. This is why (most likely, my opinion), treatment free remission works for some people and not others. Some got their LSC's killed during division while others LSC's were not dividing when they stopped therapy. It is a theory of mine that LSC's can be induced to divide following a 3 day fast so that I can expose more of them to sprycel. Over time, it is my hope, I get them.
One final thought - we don't know what a minimal level of LSC is tolerated by the body that will not cause disease. In other words, one LSC is not enough. There is a need for a population of them so that together they produce enough signal proteins which tell T-cells to not attack them. This process is a whole other topic.