I don't know the answer to such controversial question but let me ramble on about a related topic. I once listened to a talk in which one of the speakers who firmly believed in determinism said that every one of our actions/decisions is a result of interactions between atomic/subatomic particles. At first it sorta made sense to me. Then another speaker who believed in free will questioned his claims by saying that "particle" is a very vague concept. We don't exactly know how to define it. We can't base an entire theory on something that is not well-defined. And then again this made sense to me too! Take for example electron; It both can be considered as a particle and a wave. You know better than me about these issues. I'm just surface thinking ... I feel that supporting determinism needs tools more than just mere philosophy; You need to know about physics too.
The brain is not enough.
Most people would say that free will is that you may decide on your own whatever idea you like to express or act upon without asking others for opinion let alone permission. But those ideas emerge not "free" inside you. They come with a desire, an urge, a notion, on purpose, enforced, induced, caused. Also the selection/election mechanism by which we chose and select isn't so independent either. We have a limited freedom of will and the limits of what we can actually do is even more limited.
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