I assume that in the interest of safety you've made sure that all the pipes and fittings are rated for the expected pressures after ignition
I note that while the paper you shared concluded that "When the volume of the initiation end is larger than that of the booster end, you can get more pressure" but in this case you've elected to go with a smaller volume for ignition.
If I understood correctly, you will first pressurize the main chamber (50x), this will keep a check valve between the chambers shut, then you can pressurize the ignition chamber (10x). After ignition, the pressure in the ignition chamber will rise enough to overcome the force on the check valve, and the hot gasses will flow into the main chamber and ignite the 50x mixture.
What is the failure pressure of your burst disk?
I very strongly recommend being behind cover when you try it, in the event of DDT you have the potential for a pipe bomb and high velocity steel fragments are not a healthy prospect.What target do you want me to place? It will launch a 10.5mm steel ball.
Some sort of metal plate is usually the most satisfying target personally but be extremely careful that you cannot be hit by a ricochet.
I will always cite this example of when an 8mm steel ball from one of my pneumatic project ricocheted and left a clean hole in my bedroom window, that could easily have been my head