Bus lines 32 and 42 to Varissuo direction. The nearest bus stop is "Hammasklinikka".
If you come from the Airport or from Harbour, you must take the bus 1 to the Turku Centrum and change to the bus 32 or 42.
Trains from Helsinki will stop in Kupittaa station, which is about 500 meters away from Biocity.
Other trains don't stop in Kupittaa, so you must go to main railway station. From there you can take a taxi. If you want to go by bus, take the bus 32 or 42 to Centrum. They will stop in the centrum for a while, and then continue to Varissuo direction.