The Hill Equation is a biochemistry concept that helps us predict how much a protein will bind to a drug or molecule. Imagine you have a toy box with 5 different toys in it. You can choose one toy to play with at a time. Now, imagine that you are a protein and the toy you choose is a drug or molecule. How strongly you hold onto that toy is how well the protein will bind to the drug or molecule.
The Hill Equation helps us understand how strongly a protein binds to a drug or molecule. If the protein likes the drug or molecule a lot, then it will hold onto it very strongly, like a kid who loves a toy and doesn't want to let it go. If the protein doesn't like the drug or molecule, then it will let it go easily, like a kid who doesn't like a toy and quickly sets it aside.
The Hill Equation uses some fancy math to measure how much the protein likes the drug or molecule based on a few factors such as how much of the drug or molecule is present, how strongly the protein binds to the drug or molecule, and some other biochemistry stuff. Scientists use the Hill Equation to help create new drugs or to study how drugs work in the body.