Final answer:
Actin and myosin are the two myofilaments that slide past each other to enable muscle contractions, following the sliding filament model.
Step-by-step explanation:
The two myofilaments that slide past one another to allow muscle cells to contract are actin and myosin. The process by which this happens is often referred to as the sliding filament model of muscle contraction. In this model, muscle contraction occurs when the thin actin filaments are pulled by myosin heads, which attach to the actin and pivot, sliding past the thick myosin filaments. This action shortens the sarcomere, the structural unit of a muscle cell, effectively contracting the muscle fiber. ATP provides the necessary energy for myosin heads to bind, pivot, and release the actin filament in a repetitive cycle, leading to coordinated muscle contraction.