Huge topic....
Actual changes at the tyres contact patch is negligible, changes in the tyres aspect ratio to accommodate rolling ratios are an issue namely the sidewalls compliance.
Add to this the internal rigidity (pressure) you open a whole can-O-worms.
The size of the contact patch, rigidity, pressure, Geometry, suspension calculates if the car will over/ under steer and that's just the tip of tyre saturation technology.
Mat is correct in what he says "manipulate the pressure", this is a controllable field you can address but be wise and do this in small increments.