Now showing items 1-10 of 30
The Inverse Problem of Neuron Identification
Depending on the state of neuron membrane, the inverse problem of neuron identification is divided into two categories: the passive neuron identification and the active neuron identification. In the first category, we ...
On Eliminating Square Paths in a Square Lattice
Removing the minimum number of vertices or points from a square lattice such that no square path exists is known as the square path problem. Finding this number as the size of the lattice increases is not so trivial. Results ...
Simultaneous Structure Factor and Contrast Transfer Function Parameter Determination in Transmission Electron Microscopy
We present a new method that allows a fully automated simultaneous determination of the structure factor and the parameters of the Contrast Transfer Function (CTF) and noise function. No previous knowledge of the structure ...
On the Use of Direct Search Methods for Stochastic Optimization
We examine the conventional wisdom that commends the use of directe search methods in the presence of random noise. To do so, we introduce new formulations of stochastic optimization and direct search. These formulations ...
Mixed Variable Optimization of the Number and Composition of Heat Intercepts in a Thermal Insulation System
In the literature, thermal insulation systems with a fixed number of heat intercepts have been optimized with respect to intercept locations and temperatures. The number of intercepts and the types of insulators that ...
Designing and Analyzing Computational Experiments for Global Optimization
We consider a variety of issues that arise when designing and analyzing computational experiments for global optimization. We describe a probability model for objective functions and a method for generating pseudorandom ...
Mathematical Modeling of Protein Structure Using Distance Geometry
This paper reviews methods for structure determination with interatomic distances and explores possible improvement of the methods and ways of combining them with potential energy minimization.
Identification of Regional Variation in the Constitutive Response of Axisymmetric Membranes
We demonstrate that the equilibrium equations for an axisymmetric, nonlinear, anisotropic membrane under hydrostatic pressure allow explicit representation of the longitudinal and azimuthal stresses in terms of the associated ...
Correcting an Inconsistent System of Linear Inequalities by Nonlinear Programming
We consider the problem of correcting an inconsistent system of linear inequalities, Ax <= b, subject to nonnegativity constraints, x >= 0. We formulate this problem as a nonlinear program and derive the corresponding ...
Geometrical Optics for Quasi-P Waves: Theories and Numerical Methods
The quasi-P wave in anisotropic solids is of practical importance in obtaining maximal imaging resolution in seismic exploration. The geometrical optics term in the asymptotic expansion for the wave characterizes the high ...