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Equation-Based Modeling Blog Posts

Analyze the Hodgkin-Huxley Model with a Computational App

November 10, 2016

The Hodgkin-Huxley model is an advanced model for simulating action potential. We also go over how to use a computational app to streamline this type of analysis.

Understand the Dynamics of the FitzHugh-Nagumo Model with an App

October 7, 2016

In 1961, R. Fitzhugh and J. Nagumo proposed a model for emulating the current signal observed in a living organism’s excitable cells. This became known as the FitzHugh–Nagumo model.

Integrals with Moving Limits and Solving Integro-Differential Equations

October 6, 2016

Learn how to analyze spatial integrals over variable limits, whether they are prescribed explicitly or defined implicitly. (Part 2 of 2)

Guidelines for Equation-Based Modeling in Axisymmetric Components

October 5, 2016

Here’s your comprehensive guide to equation-based modeling for problems with cylindrical coordinates and axisymmetric components.

Investigating Turing’s Theory of Morphogenesis

May 9, 2016

Ever wonder how a tiger gets its stripes? Alan Turing’s theory of morphogenesis explains how patterns, such as stripes, develop naturally from initially homogeneous states.

Thermal Modeling of Phase-Change Materials with Hysteresis

March 24, 2016

Hysteresis occurs when the melting temperature of a material is different from the solidification temperature. We demonstrate the thermal modeling of such a material here.

Modeling the Thermal Curing Process

March 16, 2016

Polymerization of a thermoset resin is one example of thermal curing, a process in which temperature-induced chemical change occurs in a material.

Analyze the Spread of Epidemic Diseases with Simulation

January 25, 2016

Did you know that public health officials use mathematical modeling techniques to study the flu and other infectious diseases to predict their spread and make informed decisions?