The verb diatrephō means to nourish or maintain thoroughly. Though appearing rarely in biblical Greek, the root concept of divine nourishment and sustenance runs throughout Scripture. God who feeds the birds and clothes the lilies is the ultimate diatrephō — the one who thoroughly nourishes all creation.
The concept of divine nourishment connects directly to the Lord's Prayer ('give us today our daily bread'), the manna in the wilderness, the feeding of the five thousand, and Jesus's declaration that He is the Bread of Life. The God who thoroughly nourishes physical bodies also provides the spiritual sustenance that sustains eternal life — His Word, His presence, and ultimately His Son.