Final answer:
The tibialis posterior muscle eccentrically controls the lowering of the medial longitudinal arch of the foot during walking, preventing it from flattening too quickly.
Step-by-step explanation:
The function of the tibialis posterior during walking is to eccentrically control the lowering of the medial longitudinal arch. When the foot comes into contact with the ground, it bears the body weight, causing the arches to flatten out to absorb the shock. This action stores energy in the foot's ligaments and muscles. As weight is lifted during the walking cycle, the stored energy is released, aiding in the efficiency of movement. The tibialis posterior muscle works by contracting to control this process and to prevent the arch from flattening out too quickly, which would otherwise cause excessive strain and potential injury.