Is this a miniature rose? I haven't seriously grown roses in years (and never indoors) so I'm sure other members who have are better at diagnosing the problem for you, but it feels to me that this plant might have been overwatered.
Some of the shriveled main stems don't look very good, even if there are upper branches that still look green. The new growths at the base seems to mean the plant needed to re-new itsself, and sacrificing the upper growths and cutting the stems back to just above the new shoots will allow the plant to concentrate on growing new main stems.
In my garden where winter temperatures can plummet to negative single digits °F, it's normal to cut roses back nearly to the ground (well, knee high) every year. And certain period of dormancy is normal. Have you ever let it rest by cutting back and withholding water for a time in cooler temperature/situation?
Yours look a little overcrowded with excess interior branches, which is especially not be good for a plant kept indoors. Roses are typically pruned so they are cut just above branches/new shoots that grow outward, leaving the interior of the plant open for airflow and light penetration.
At this point, since it has lost a lot of leaves, be sure not to water it in same schedule/way as when it was lush with leaves -- it can't use all that water and the roots will get waterlogged. What is your normal routine for watering it?