Cost: 50 Hero Points
This could be an advantage and drawback at the same time, so its up to the player and GM how they want to handle how this works. Because Determination as an advantage can work be applied towards, your hero is determined and puts his all into solving cases, saving the girl, capturing the villain, proving things..etc.
All at the same time, the very thing that "drives" them to do all of the above can turn into obsessions, in life. Saving the girl or capturing the villain at all costs, finding the evidence needed, even if staying up all night. How far will the hero go?
This may also be applied to villain characters, as determination can drive their criminal activities, their obsessions with a certain hero (ehem, Superman for Lex anyone?)
The GM or the player can use this when playing out the character in game. A player can say his character is doing this due to his Determination (for better or worse). A GM can entice a player's character with various things keeping the character distracted.