An implantable tissue stabilizing structure for regenerating damaged muscle in situ by enabling mass migration of muscle precursor cells into the damaged muscle. The structure is formed by a plurality of singular monofilament thread sections, which are separated by a plurality of void spaces that define linear distances between the threads. The maximal diameter of the threads is proportional to the linear distance, such that for linear distance less than 1 millimeter the maximal threads diameter is 40 microns, for linear distance from 1 to 2 millimeters the maximal diameter is 120 microns, for linear distance from 2 to 5 millimeters the maximal diameter is 400 microns, for linear distance from 10 to 20 millimeters the maximal diameter is 2.5 millimeters, and for linear distance of 40 millimeters and greater the thread sections maximal diameter is 10 millimeters.
