Which of these would work best, Salicylic Acid, Aspirin and Castor Oil to prevent hair loss?

If lowering PGD2 and raising PGE2 stops hair loss, wouldn't the cure be just to use salicylic acid or Aspirin to inhibit the PGD2 and castor oil to raise the PGE2? I know that Sal and Aspirin lower both PGD2 and PGE2 but the castor oil would raise the PGE2. Or use whatever raises PGE2 and lowers PGD2. Is it false that changing the levels of PGD2 and PGE2 can affect hair loss? Has there been any studies about this? Thank you.