Mathematical models of Chemotaxis.

http://en.wikipedia.org/wiki/Chemotaxis

Several mathematical models of chemotaxis were developed depending on the type of

• migration (e.g., basic differences of bacterial swimming, movement of unicellular eukaryotes with cilia/flagellum and amoeboid migration)
• physico-chemical characteristics of the chemicals (e.g., diffusion) working as ligands
• biological characteristics of the ligands (attractant, neutral, and repellent molecules
• assay systems applied to evaluate chemotaxis (see incubation times, development, and stability of concentration gradients)
• other environmental effects possessing direct or indirect influence on the migration (lighting, temperature, magnetic fields, etc.)