Polymer Melt Diffusion Coefficient

This is a MATLAB program for simulation of polymer blend self-assembly with nano-scaled features. The Cahn-Hilliard equation isimplemented to calculate the free energy profile of the polymer blends during spinodal decomposition on a heterogeneously functionalized substrate. The Flory-Huggins type...

Accepts temperature in Kelvin, pressure in millibar and wavelength in microns (accurate for wavelengths 0.20-4.00 microns) and returns the model atmosphere Rayleigh angular volume-scattering coefficient. Includes Chandrasekhar phase function.

Membrane diffusion in a coupled reactor system can cause complex behaviour such as oscillations, period doubling and chaos. Here we study a simple model suggested by Deng-Harrison in 1969. The bifurcation diagram is obtained. We find good agreement with Figure 10 page 76 of the paper by Lengyel...


Platforms: Matlab

To calculate the price the pricer builds a multinomial tree, as described in Amin 1993.For description of the methodology please see;1. The HTML instructuions in the zip2. Kaushik I. Amin, d-deDUJump Diffusion Option Valuation in Discrete Time,d-deDt Journal of Finance 48, no. 5 (December 1993):...


Platforms: Matlab

Simple function to calculate melt rates in meter water equivalent per year for a digital elevation model (DEM) based on positive degree days factor (PDD) using seasonal variation.User can specify factors: mean annual temperature, PDD_ice, seasonal variation in degrees and year length.Approach...


Platforms: Matlab

Solves nonlinear diffusion equation which can be linearised as shown for the general nonlinear diffusion equation in Richtmyer & Morton [1]. The approach is to linearise the pde and apply a Crank-Nicolson implicit finite difference scheme to solve the equation numerically.Matlab run...


Platforms: Matlab

This script shows how to compute the Diffusion Kurtosis (DKI) Coefficients from a given Diffusion-Weighted MRI dataset. The script implements several fitting methods with various constraints from the article by A. Barmpoutis and J. Zhuo "Diffusion Kurtosis Imaging: Robust Estimation from DW-MRI...


Platforms: Matlab

This script shows how to compute a Diffusion Tensor (DTI) from a given DW-MRI (Diffusion-Weighted MRI) dataset. The method guarantees that the estimated tensor is positive-definite or at least positive semi-definite. The implementation is based on the article by A. Barmpoutis and B.C. Vemuri, "A...


Platforms: Matlab

This method computes an accurate continuous approximation of the DW-MRI signal using adaptive kernels (A. Barmpoutis et al. "Adaptive kernels for multi-fiber reconstruction", In the Proceedings of IPMI, 2009). The approximation is based on Fig. 3 of the article which shows the plot of the DW-MRI...


Platforms: Matlab

Generate the diffusion gradient vector field as in Xu and Prince 1998dgvf_calc is the three dimensional extension of the 2D version described in Equation 12Xu and Prince 1998,"Snakes, Shapes, and Gradient Vector Flow", IEEE Transactions on Image Processing Vol.7(3)Input:I: three dimensional image...


Platforms: Matlab

BINOMIAL Binomial coefficient.If the arguments are both non-negative integers with 0


Platforms: Matlab

An assortment of diffusion based image filtering methods:1. Linear Diffusion Filtering using heat equations - solved using both implicit and explicit Euler methods.2. Edge Enhancing Linear Anisotropic Diffusion Filtering.3. Edge Enhancing Non-linear Anisotropic Diffusion Filtering.Data files for...


Platforms: Matlab

The Gini coefficient is a measure of the inequality of a distribution (often used for income or wealth distributions). The Lorentz curve is a graphical representation of this inequality which is intimately related to the Gini coefficient. The program is straightforward to use. Please consult the...


Platforms: Matlab

This function computes double block bootstrap percentile confidence intervals and bootstrap standard errors for the Pearson correlation coefficient r and Fisher's z = atanh(r).References:-Efron, B. and R.J. Tibshirani (1993): An Introduction to the Bootstrap, Chapman & Hall.-BdoDshlmann, P. and...


Platforms: Matlab

This script shows how to compute a Higher-order Diffusion Tensor from a given Diffusion-Weighted MRI dataset. The method guarantees that the estimated tensor is positive-definite or at least positive semi-definite. This implementation is based on the article by A. Barmpoutis and B.C. Vemuri, "A...


Platforms: Matlab

r2 = rsquare(y,f) RSQUARE computes the coefficient of determination (R-square) value from actual data Y and model data F. INPUTS Y : Actual data F : Model fit OUTPUT R2 : Coefficient of determination EXAMPLE x = 0:0.1:10; y = 2.*x + 1 + randn(size(x)); p = polyfit(x,y,1); f = polyval(p,x); r2...


Platforms: Matlab

The Diffusion Limited Aggregation in Continuous 2D Space Model simulates the formation of a cluster using a random-walk process called "diffusion limited aggregation" (DLA). The cluster formed by this process is an example of a fractal, and the simulation can be extended to calculate and analyze...


Platforms: Mac

The STP SecondVirialCoefficient program numerically evaluates the second virial coefficient for the Lennard-Jones potential at various temperatures. The default is temperature range is 0.5 to 5. STP SecondVirialCoefficient is part of a suite of Open Source Physics programs that model aspects of...


Platforms: Mac

Text::NSP::Measures::2D::CHI::phi is a Perl module that implements Phi coefficient measure for bigrams. SYNOPSIS Basic Usage use Text::NSP::Measures::2D::CHI::phi; my $npp = 60; my $n1p = 20; my $np1 = 20; my $n11 = 10; $phi_value = calculateStatistic( n11=>$n11, n1p=>$n1p, np1=>$np1,...


Platforms: *nix

Text::NSP::Measures::2D::Dice::dice is a Perl module to compute Dice coefficient for bigrams. SYNOPSIS Basic Usage use Text::NSP::Measures::2D::Dice::dice; my $npp = 60; my $n1p = 20; my $np1 = 20; my $n11 = 10; $dice_value = calculateStatistic( n11=>$n11, n1p=>$n1p, np1=>$np1,...


Platforms: *nix