What happened to the Native Americans that did not leave after the Indian Removal Act of 1830?

Natives that did not leave with their nation for Indian Territory were left without a governing body to represent and protect them.  The whites were able to impose their powers over the remaining natives and even used some as slaves.  The US government then tried to get the remaining natives out of the east and offered some tribes land in Indian Territory.  In 1840 the US government offered the Choctaws of Mississippi specific plots of land in Indian Territory (what is modern day Oklahoma) if they left their homes in the south.  Some of the Choctaws left, but around 1500 remained in their homeland.  Similarly, Cherokees of North Carolina were persuaded by the government to move west, but only affluent families who could not establish themselves among the white communities left for Indian Territory.  As a way to get more Cherokees out of North Carolina, Congress offered $53.33 to any Cherokee who would move west.  In these cases the natives were trying to be persuaded to move by the US government, but this was not the case for each tribe. In Louisiana the Tunica-Biloxis lost most of their land from whites claiming it as theirs and killing the Tunica-Biloxis leaders.  The natives were forced to leave out of their own safety having lost their homes to violent whites.  This was a situation where individuals--not a state or government--caused the removal of a nation.  The nations that did stay in their homes, such as the Choctaw and Cherokee, stayed to continue the traditions of their people in their homeland.  They were reluctant to leave because they were in a place their people had lived for thousands of years and knew the whites had no rights to make them leave for a new land.  The natives still living east of the Mississippi found themselves stuck in a white-dominated society and had trouble remembering their culture and traditions as they were too categorized as "colored" and had little opportunities socially or politically to succeed.