When the cells of the are stimulated, the desire to eat subsides?

Satiety center of the brain.
 We can look at this as the "feeding engine of the brain". The state accomplished when the requirement for nourishment has been fulfilled is called satiety. The satiety focus point in creatures is situated in the ventromedial core of the hypothalamus.

Where is the picture at

the glands which are associated with each description is given below:

pancreas - is an endocrine and exocrine gland that secretes juices with enzymes for digestion. salivary glands- with protection and digestion in the mouth. liver- secretes bile for digestion.   lachrymal glands - secrete tears to moisten eyes and protect them from particles and infection.   sweat gland -regulates water, salt, and temperature. oil glands - to form a protective barrier on the skin.   goblet cells - secrete mucus for protection.