Tibialis Anterior Muscle: Pedicled Bone Graft for Defect of the Tibia.

Purpose: To report the result of the bone graft retrograde pedicled with the tibialis anterior muscle belly for the treatment of bone defect of tibia.

Methods: Between 2017 and 2020, the bone graft pedicled with the tibialis anterior muscle was applied for the treatment of 11 patients with a cortical defect and nonunion of the tibia due to trauma and one patient with segmental bone defect caused by tramatic osteomyelitis. The tibialis anterior has the largest muscle belly, but has not been commonly used due to functional disability following use as transposition muscle flap.

Symmetry-broken coherent state in a ring of nonlocally coupled identical oscillators.

We report on a modulated coherent state in a ring of nonlocally coupled oscillators. Although the identical oscillators are all synchronized under the symmetric coupling, the phase configuration has an inhomogeneous structure. This symmetry-broken coherent state exists only for a nonlocal coupling with both attracting and repulsive interactions, depending on the distance between oscillators, and emerges via a continuous bifurcation from a uniformly coherent state.

Chimera and modulated drift states in a ring of nonlocally coupled oscillators with heterogeneous phase lags.

We consider a ring of phase oscillators with nonlocal coupling strength and heterogeneous phase lags. We analyze the effects of heterogeneity in the phase lags on the existence and stability of a variety of steady states. A nonlocal coupling with heterogeneous phase lags that allows the system to be solved analytically is suggested and the stability of solutions along the Ott-Antonsen invariant manifold is explored.

Incoherent chimera and glassy states in coupled oscillators with frustrated interactions.

We suggest a site disorder model that describes the population of identical oscillators with quenched random interactions for both the coupling strength and coupling phase. We obtain the reduced equations for the suborder parameters, on the basis of Ott-Antonsen ansatz theory, and present a complete bifurcation analysis of the reduced system. New effects include the appearance of the incoherent chimera and glassy state, both of which are caused by heterogeneity of the coupling phases.