Difference between revisions of "Chemotaxis"

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# Generate a random unit vector <math>\vec c</math>, as a potential chemotactic force acting on <math>p</math>.
 
# Generate a random unit vector <math>\vec c</math>, as a potential chemotactic force acting on <math>p</math>.
 
# Along vector <math>\vec c</math>, sample <math>C</math> ahead of <math>p</math>, as well as behind <math>p</math>, as <math>C^+</math> and <math>C^-</math>, respectively.
 
# Along vector <math>\vec c</math>, sample <math>C</math> ahead of <math>p</math>, as well as behind <math>p</math>, as <math>C^+</math> and <math>C^-</math>, respectively.
 +
#Calculate <math>\triangle F</math> using: <math>\triangle F = &lambda;(C^+ - C^-)</math>

Revision as of 22:37, 15 December 2016

This tutorial will guide you through the steps of adding a chemotactic force to the cells in your simulation. Requirements for chemotaxis include a population of agents, and a chemical field of a chemoattractant. The agents will move along the chemical gradient toward the chemoattractant.

In this example, a simple method is used to calculate the chemotactic force on a particle which responds to a chemoattractant , as follows:

  1. Generate a random unit vector , as a potential chemotactic force acting on .
  2. Along vector , sample ahead of , as well as behind , as and , respectively.
  3. Calculate using: Failed to parse (syntax error): {\displaystyle \triangle F = &lambda;(C^+ - C^-)}