Literally the term "run" means "move very quickly on foot," usually at a greater speed than can be accomplished by walking. To "run after" or "pursue" someone or something is to move as quickly as possible to try to catch that person or thing.
* The border of a country or region is said to "run along" a river or the border of a different country. This could be translated by saying that the country’s border "is next to" the river or other country or by saying that the country "borders" the river or other country."
* Rivers and streams can "run dry," which means that they no longer have water in them. This could be translated as "have dried up" or "have become dry."
* The days of a feast can "run their course," which means they "have passed by" or "are finished" or "are over."*