BDNF is a chemical released into the brain which helps increase Neurogenesis in the Adult Brain and increase the complexity of older neurons.

BDNF increases a neuron's excitatory effects

Ways of increasing BDNF

Exercise

Can increase the concentration of BDNF in the hippocampus

This is of rat brain, left is rats with a hamster wheel to exercise with.

Diet

Limiting the amount of food you intake can also affect the amount of BDNF.

So does limiting you food intake for a period of time (even though your total amount of the week is the same)

What you eat also effects things

Eat more low-fat complex carbs.

Learning

If you learn things, your brain grows.