Microtubules are flexible polymers whose mechanical properties are an important factor in the determination of cell architecture and function. It has been proposed that the two most prominent neuronal microtubule-associated proteins (MAPs), tau and MAP2, whose microtubule binding regions are largely homologous, make an important contribution to the formation and maintenance of neuronal processe...

Medication is the predominant method for the management of patients with movement disorders. However, there is a fraction of patients who experience limited relief from pharmaceuticals or experience bothersome side-effects of the drugs. Deep brain stimulation (DBS) and surgical lesioning of the thalamus and basal ganglia are respected neurosurgical procedures, with valued success rates and a ve...

Let M be a closed non-positively curved Riemannian (NPCR) manifold, M̃ its universal cover, and X an ultralimit of M̃ . For γ ⊂ M̃ a geodesic, let γω be a geodesic in X obtained as an ultralimit of γ. We show that if γω is contained in a flat in X, then the original geodesic γ supports a non-trivial, normal, parallel Jacobi field. In particular, the rank of a geodesic can be detected from the ultr...

Abstract We consider the semilinear heat equation with Sobolev subcritical power nonlinearity in dimension $N=2$, and $u(x,t)$ a solution that blows up finite time $T$. Given non-isolated blow-up point $a$, we assume Taylor expansion of near $(a,T)$ obeys some degenerate situation labeled by even integer $m(a)\ge 4$. If have sequence $a_n \to a$ as $n\to \infty $, show after change coordinates ...

The study aims to fully explicate the bending behavior of tea stalks under condition large deflection, which is crucial improve working performance mechanized harvesting equipment. mechanical model stalk was assumed be a non-prismatic beam with virtual internodes that could differ from actual internodes. With model, can freely divided into multiple internodes, whose flexural rigidities determin...

Decorticate rigidity is a type of abnormal posturing that can make it difficult to move a patient and to change the patient's position to prevent a decubitus ulcer. This condition poses a latent risk of bed sores. To prevent those complications, we used electroacupuncutre for decorticate rigidity of the upper limbs in a patient with anoxic brain damage. A 51-year-old man complained of rigidity ...

A bar-joint framework (G,p) in a (non-Euclidean) real normed plane X is the combination of finite, simple graph G and placement p vertices X. globally rigid if every other (G,q) with same edge lengths as arises from an isometry The weaker property local rigidity planes (where only within neighbourhood are considered) has been studied by several researchers over last 5 years after being introduc...

Substrate rigidity has been recognized as an important property that affects cellular physiology and functions. While the phenomenon has been well recognized, understanding the underlying mechanism may be greatly facilitated by creating a microenvironment with designed rigidity patterns. This chapter describes in detail an optimized method for preparing substrates with micropatterned rigidity, ...