The concept of binding and loosing are fundamental to intercession. Jesus introduces the concept of binding and loosing in Matthew 16:19. In the preceding verses, Peter has just declared that Jesus is the Messiah. Jesus tells him that he is blessed because this has not been revealed to him by flesh and blood, but by the Father in heaven. He then goes on to say that upon the rock of this revelation, He will build His church and the gates of hell will not prevail against it. v.19 states,

And I will give unto thee the keys of the kingdom of heaven: and whatsoever thou shalt bind on earth shall be bound in heaven: and whatsoever thou shalt loose on earth shall be loosed in heaven.

The Greek word for bind here is deo, which means to fasten or tie. New Testament meanings: to bind, tie, as with a chain or cord: Scripture references include:

Matthew 22:13- Then the king said to the servants, Bind him hand and foot and take him away, and cast him into outer darkness,; there shall be weeping and gnashing of teeth.

Matthew 27:2 And when they had bound him, they led him away, and delivered him to Pontius Pilate the governor.

Mark 5:3, 4 Who had his dwelling among the tombs; and no man could bind him, no, not with chains: Because that he had been often bound with fetter and chains, and the chains had been plucked asunder by him, and the fetters broken in pieces: neither could any man tame him.

To bind up, swathe John 19:40 Then took they the body of Jesus, and wound it in linen clothes with the spices, as the manner of the Jews is to bury. Bind or oblige by a moral or religious obligation
Roman 7:2, 1 Cor 7:27
Pronounce or determine to be binding or obligatory, that is of duties for performance, transgressions for punishment Matt 16:19, 18:18

Loose is luo which means to loose as opposed to deo, to bind. To loose something tied or bound. Matt 21:2, Mark 1:7, 11:2, 4, 5 Luke 13:15, 1 cor 7:27; to loose to pronounce or determine not to be bound Matt. 16:19, 18:18, to dissolve or destroy.