Thanks for your explanation. For the compound to be soluble in your blood, the ester carbons need to be cleaved off, do I have that part correct at least?
Not quite. Soluability is the ability for something to dissolve or become one with another element.
Many hormones and other things get carried by the blood and lymph in our bodies where it gets transported around. When you inject test into a muscle the body moved the test from the deposit into the blood stream.
As the hormone makes its way around the body the ester gets cleaved off randomly based on many factors. Some molocules will get the ester cleaved off quickly which others will take more time. The average time it takes for the ester to be removed from HALF of the amount of test injected is the half life.
Once the ester is removed the test molocule is then free to bind to the androgen receptor in the body thereby delivering the chemical message.
oversimplification.
Test molucule is a key and a receptor is a lock. Ester is a piece of masking tape wrapped around the key. The half life is how long it takes you to remove the tape from half the keys on your key ring. You cant use the key in the lock until you take the tape off.