Numerical simulation of mathematical heart model in COMSOL

Mathematical analysis and numerical simulation of a model of morphogenesis.

We consider a simple mathematical model of distribution of morphogens (signaling molecules responsible for the differentiation of cells and the creation of tissue patterns). The mathematical model is a particular case of the model proposed by Lander, Nie and Wan in 2006 and similar to the model presented in Lander, Nie, Vargas and Wan 2005. The model consists of a system of three equations: a P...

The receptor-toxin-antibody interaction: Mathematical model and numerical simulation

An antibody, also known as an immunoglobulin, is a protein used by the immune system to identify, neutralize, or kill foreign objects like bacteria, viruses, or pollen which are termed as antigen. The production of antibodies is the main function of the immune system. An antigen, when introduced into the body, triggers the production of an antibody by immune system which will then kill or neutr...

Prediction of runoff and sediment from agricultural watersheds by a mathematical model 2 mathematical simulation

Numerical Analysis of a Simple Mathematical Model to Design Bioremediation System in Rhizosphere

Comprehensive Simulation for Two-diode Model of Photovoltaic Cells in SimPowerSystems Using Explicit Mathematical Functions

In this paper, using Thevenin’s theorem and also nonlinear Lambert W function, a novel two-diode model of photovoltaic cells is presented in mathematical explicit manner. In comparison with existing explicit models in the literature which are valid exclusively for n2=n1 and n2=2n1, this model includes a wide range of silicon-based cells with arbitrary diodes ideality factors. Acquiring regulati...