A catheter with basket-shaped electrode assembly with spines configured for hyper-flexing in a predetermined, predictable manner when a compressive force acts on the assembly from either its distal end or its proximal end. At least one spine has at least one region of greater (or hyper) flexibility that allows the electrode assembly to deform, for example, compress, for absorbing and dampening excessive force that may otherwise cause damage or injury to tissue wall in contact with the assembly, without compromising the structure and stiffness of the remaining regions of the spine, including its distal and proximal regions. The one or more regions of greater flexibility in the spine allow the spine to flex into a generally V-shape configuration or a generally U-shape configuration.
