'Branch' in the Bible

Now take an example from the fig-tree: when her branch has become soft and puts out its leaves, you are certain that the summer is near;

He takes away every branch in me which has no fruit, and every branch which has fruit he makes clean, so that it may have more fruit.

Be in me at all times as I am in you. As the branch is not able to give fruit of itself, if it is not still on the vine, so you are not able to do so if you are not in me.

If a man does not keep himself in me, he becomes dead and is cut off like a dry branch; such branches are taken up and put in the fire and burned.