I'm having exactly the same problem as Derik Denim in this archived thread. The stems will shrivel and dry up at the base where it comes out of the soil. The rest of the stem is fine for awhile and is even growing longer -- but eventually the "beads" shrink and shrivel until the whole vine is dead. As soon as I notice this happening I cut it off and re root the stem in water and place it back in the pot. They grow for awhile but then it happens again. I have it in a well lit room about 5 feet from the window. I water it when the leaves just barely get soft -- never over-water. It's in a cactus mix -- sand and mulch.