Droplet-based microfluidic biochips have recently gained much attention and are expected to revolutionize the biological laboratory procedure. As biochips are adopted for the complex procedures in molecular biology, its complexity is expected to increase due to the need of multiple and concurrent assays on a chip. In this paper, we formulate the placement problem of digital microfluidic biochips with a tree-based topological representation, called T-tree. To the best knowledge of the authors, this is the first work that adopts a topological representation to solve the placement problem of digital microfluidic biochips. Experimental results demonstrate that our approach is much more efficient and effective, compared with the previous unified synthesis and placement framework. Categories and Subject Descriptors B.7.2 [Integrated Circuits]: Design Aids General Terms Algorithm, Performance, Design Keywords Microfluidics, biochip, placement, floorplanning