NEW YORK, July 31- Nanogen turned in a slight increase in revenues and a significant increase in losses during its second quarter, the company said Tuesday.

The company posted revenues for the most recent financial period of $2.7 million, up slightly from the $2.4 million in the second quarter last year. Nanogen attributed their revenue rise to sponsored research programs from the company's corporate alliances, contracts and grants with government agencies, and, to a lesser extent, sales of its NanoChip Molecular Biology Workstations and cartridges.