If by "shut down" you mean "die," then yes.
The brain would begin to shut down from lack of oxygen, you would suffer irreparable brain damage in the early stages of this, then your entire body would begin to shut down without a stable brain to control it. Your heart would slow down untill it com
Probably the circulatory system because the heart would start pumping unfiltered blood(blood that has no oxygen) and then the brain wouldn't get the oxygen it needed and you could die.
No oxygen at all? Yes. This is because certain types of blood cells carries oxygen to your brain. If your brain has no oxygen, it will shut down, and, as a result, so will the rest of your body.
Your brain just shuts down and all your body follows your brain
When the arteries to the brain are blocked, it can lead to a lack of blood flow and oxygen, resulting in a stroke. This could cause brain damage, paralysis, or other serious health complications depending on the severity of the blockage and how quickly medical intervention is given.
The cardiovascular system pumps essential nutrients and oxygen to all of your cells. without your cardiovascular system your cells would start to die, and your brain and other organs would shut down because of the lack of oxygen.
it would change by the oxygen going low down
nerves
nerves
Oxygen is transported first by air down the trachea and then transform to the hemoglobin of the blood to the cells. This is the pathway of oxygen in the human system.
The brain becomes deprived of oxygen when the creature depending on the brain fails to breathe. This can be reversed with quick medical attention; otherwise everything shuts down and the creature dies. Similarly if the air you are breathing is short of oxygen as in high altitude or with the use of gas mixtures such as nitrous oxide. with some of these situations it feel like you are breathing but you are in fact suffocating and causing damage to the brain.
The human metabolism runs on an oxidation process. Calories are in effect burned, to make chemically useful energy. All the chemical processes of the body are forced to slow down if there is not enough oxygen.