We study the enzymatic degradation of an elastic fiber under tension using an anisotropic random-walk model coupled with binding-unbinding reactions that weaken the fiber. The fiber is represented by a chain of elastic springs in series along which enzyme molecules can diffuse. Numerical simulations show that the fiber stiffness decreases exponentially with two distinct regimes. The time constant of the first regime decreases with increasing tension. Using a mean field calculation, we partition the time constant into geometrical, chemical and externally controllable factors, which is corroborated by the simulations. We incorporate the fiber model into a multiscale network model of the extracellular matrix and find that network effects do not mask the exponential decay of stiffness at the fiber level. To test these predictions, we measure the force relaxation of elastin sheets stretched to 20% uniaxial strain in the presence of elastase. The decay of force is exponential and the time constant is proportional to the inverse of enzyme concentration in agreement with model predictions. Furthermore, the fragment mass released into the bath during digestion is linearly related to enzyme concentration that is also borne out in the model. We conclude that in the complex extracellular matrix, feedback between the local rate of fiber digestion and the force the fiber carries acts to attenuate any spatial heterogeneity of digestion such that molecular processes manifest directly at the macroscale. Our findings can help better understand remodeling processes during development or in disease in which enzyme concentrations and/or mechanical forces become abnormal. diffusion | on rate | off rate | cleaving T he extracellular matrix (ECM), the biological structure that supports cells, is composed of elastic fibers such as elastin and collagen. The complex organization of these fibers undergoes a continuous maintenance that requires the catalytic action of enzymes, called proteases (1). In diseases, such as pulmonary emphysema, tissue destruction is thought to be a consequence of the imbalance between protease and antiprotease activity leading to degradation of elastin fibers (2). Biological tissues in vivo are also under tension that may interfere with the enzymatic activity. Indeed, mechanical stretch accelerates the rate of degradation of native ECM during elastase-induced digestion of lung tissue (3, 4), whereas it stabilizes type I collagen against in vitro digestion by collagenases (5, 6).The elastic and failure properties of single fibers have important biological functions, and these material properties depend on the hierarchical organization of the molecular constituents (7). During digestion, both the molecules and the cross-links in the fiber can be cleaved by enzymes reducing fiber stiffness. Furthermore, following cleavage, an enzyme can unbind, diffuse, bind at a different location and cleave again. This leads to the question: How are the diffusion and binding processes of the enzyme and the subsequent degradation ...