The cable equation describes the voltage in a straight cylindrical cable, and this model has been employed to model electrical potential in dendrites and axons. However, sometimes this equation might give incorrect predictions for some realistic geometries, in particular when the radius of the cable changes significantly. Cables with a nonconstant radius are important for some phenomena, for ex...

In this paper, we develop a finite element model for a cable suspended in water. Global existence and uniqueness of solutions of the truncated system is shown for a slightly simplified equation describing the motion of a cable having negligible added mass and supported by fixed end-points. Based on this, along with well known results on local existence and uniqueness of solutions for symmetriza...

A method based on mathematical programming is proposed for large deformation and contact analysis of cable networks. By explicitly considering these nonsmooth behaviors, we formulate the linear complementarity problems over symmetric cones under some practically acceptable assumptions. We also present the equivalent second-order cone programming (SOCP) problems, which can be regarded as the min...

By systematically altering the in-plane flight path and velocity of an aircraft and the rate at which the cable is deployed, the tip of a cable being towed behind an aircraft is shown to rendezvous with a ground-based surface location in minimum time, with minimum control effort required. This is achieved through optimal control, formulated as a nonlinear programming problem using the Legendre-...

Understanding the distribution of congestion in the Internet is a long-standing problem. Using data from the SamKnows US broadband access network measurement study, commissioned by the FCC, we explore patterns of congestion distribution in DSL and cable Internet service provider (ISP) networks. Using correlation-based analysis we estimate prevalence of congestion in the periphery versus the cor...

This paper presents a method to mathematically analyze the nerve impulse propagation in nonuniform axons. Starting from the general, nonlinear one-dimensional cable equations with spatially varying cable diameter, the problem is shown to be eqiuvalent (under some variable transformations) to the case of uniform axons. Characterized by the same normal form, six functions for analytically treatab...

A new method has been developed for accurately and efficiently modeling string-like cable components that change length during an event. String-like components are flexible elements that only support tension loads, not compression nor bending. The method is also applicable to many and various kinds of ropes, tapes, chains and belts. It includes the effects of both variable mass and variable sti...

slope stability analysis is a geotechnical engineering problem characterized by many sources ofuncertainty. in slope stability computations, some of these sources are encountered, such as geologicaldetails missed in the exploration program, estimation of soil properties that are difficult to quantifyand many other relevant factors. therefore, accurate reproduction of the spatial variability in ...

Subducting slabs may exhibit buckling instabilities and consequent folding behavior in the mantle transition zone, accompanied by temporal variations in dip angle, plate velocity, and trench retreat. Governing parameters include both viscous (rheological) and buoyancy (thermopetrological) forces. Numerical experiments suggest that many parameter sets lead to slab deflection at the base of the t...

The nearly 21-year-old Jiujiang Bridge, which is suffering from uneven line shape, constant great downwarping of the main beam and cracking of the box girder, needs reinforcement and cable adjustment. It has undergone cable adjustment for twice with incomplete data. Therefore, the initial internal force state of the Jiujiang Bridge is identified as the key for the cable adjustment project. Base...