The Proceedings of the Bioengineering Conference Annual Meeting of BED/JSME
Online ISSN : 2424-2829
2016.28
Session ID : 2D24
Conference information
2D24 Bacterial Distribution around an Attractant Source Calculated by a Biased Random Walk Model
Tomonobu GOTOTonau NAKAI
Author information
CONFERENCE PROCEEDINGS RESTRICTED ACCESS

Details
Abstract
A two dimensional biased random walk model was applied to calculate bacterial cells' distribution around an attractant chemical in a line. This model follows the properties of bacterial chemotaxis. In a uniform chemical concentration, a bacterial cell tumbles every a certain period of time and randomly changes its swimming direction. However, a bacterial cell suppresses tumbling when the cell senses that the chemical concentration around it has increased. Thus, a bacterial cell gradually approaches the highest concentration. This produces chemotaxis as a collective behavior of many bacterial cells. In the present model, a model cell moves a certain distance during one time step. When the model cell approached a line that is assumed to be a chemical attractant during the previous time step, the cell continues moving in the same direction in the current time step with probability α, or changes its direction randomly with probability 1-α. On the contrary, when the model cell receded from the line, the cell randomly changes its direction. The parameter a means the strength of bias; α = 0 corresponds to random walk and α = 1 the strongest biased motion. The calculated model cells' steady distribution around the attractant line is an exponential distribution which depends on α. The dependence on α is not such a simple one appeared in the previous one dimensional model. The effect of directivity at tumbling was also investigated. The directivity has little impact on the cells' distribution.
Content from these authors
© 2016 The Japan Society of Mechanical Engineers
Previous article Next article
feedback
Top