Not from bio-medical industry, but from what I know about Singapore Masterplanning, Bio-medical industry is supposed to mature in the coming years.

Singapore started Biomedical in around year 2000. To groom a specialist in the area takes about 4 years of undergraduate studies, 5 years of postgraduate studies, another 3-4 of years post-doctoral, and a few years of additional experience, so totally to about 15 to 20 years). Part of the focus on why choose biomedical was to target medical research on the growing and ageing pollution.

So, if the government plan is successful, you should be seeing quite a bunch of bio-medical professionals in Singapore soon, with more jobs being created.

The good news is that bio-medical is still relatively "new". The bad news is that you will be completing against the pioneer batch (those started off around 2000). Whatever the case, if you intend to start in this industry, be prepared to go for at least a PhD.