This article in Science Direct discusses more details on the topic of gut and brain health linked together and how we can strive to improve both. Short-chain fatty acids, especially butyrate, acetate and propionate are produced by the fermentation of dietary fiber and not only improve human gut health but research indicates they may also improve brain health. The key to future treatment of brain disorders may be hidden in this area of focus.
https://www.sciencedirect.com/science/article/abs/pii/S0303720722000193