To cut or not to cut the stems

[jhoneycuttnc]

I resently recieved a phalenopsis. It has two main stems with one of the main steams having three branches on it. It had amazing flowers and tons of buds until one weekend. (This orchid stayed in my office.) Over the weekend ALL the flowers and buds were gone. I'm not sure what happened. I have brought this plant home to care of it. The stems are still green and they look like they have new growth on the tips. Should I cut the stems? I am getting confused by everything I am reading online.