Cell balance equation for chemotactic bacteria with a biphasic tumbling frequency Export

@article{2003Chen, abstract = {Alt's three-dimensional cell balance equation characterizing the chemotactic bacteria was analyzed under the presence of one-dimensional spatial chemoattractant gradients. Our work differs from that of others who have developed rather general models for chemotaxis in the use of a non-smooth anisotropic tumbling frequency function that responds biphasically to the combined temporal and spatial chemoattractant gradients. General three-dimensional expressions for the bacterial transport parameters were derived for chemotactic bacteria, followed by a perturbation analysis under the planar geometry. The bacterial random motility and chemotaxis were summarized by a motility tensor and a chemotactic velocity vector, respectively. The consequence of invoking the diffusion-approximation assumption and using intrinsic one-dimensional models with modified cellular swimming speeds was investigated by numerical simulations. Characterizing the bacterial random orientation after tumbles by a turn angle probability distribution function, we found that only the first-order angular moment of this turn angle probability distribution is important in influencing the bacterial long-term transport.}, author = {Chen, Kevin C. and Ford, Roseanne M. and Cummings, Peter T.}, citeulike-article-id = {1692455}, journal = {Journal of Mathematical Biology}, keywords = {bacterial, chemotaxis}, number = {6}, pages = {518--546}, posted-at = {2007-09-25 11:08:51}, priority = {0}, title = {Cell balance equation for chemotactic bacteria with a biphasic tumbling frequency}, volume = {47}, year = {2003} }

TY - JOUR ID - 2003Chen L3 - citeulike-article-id:1692455 N2 - Alt's three-dimensional cell balance equation characterizing the chemotactic bacteria was analyzed under the presence of one-dimensional spatial chemoattractant gradients. Our work differs from that of others who have developed rather general models for chemotaxis in the use of a non-smooth anisotropic tumbling frequency function that responds biphasically to the combined temporal and spatial chemoattractant gradients. General three-dimensional expressions for the bacterial transport parameters were derived for chemotactic bacteria, followed by a perturbation analysis under the planar geometry. The bacterial random motility and chemotaxis were summarized by a motility tensor and a chemotactic velocity vector, respectively. The consequence of invoking the diffusion-approximation assumption and using intrinsic one-dimensional models with modified cellular swimming speeds was investigated by numerical simulations. Characterizing the bacterial random orientation after tumbles by a turn angle probability distribution function, we found that only the first-order angular moment of this turn angle probability distribution is important in influencing the bacterial long-term transport. IS - 6 JF - Journal of Mathematical Biology EP - 546 TI - Cell balance equation for chemotactic bacteria with a biphasic tumbling frequency VL - 47 SP - 518 KW - bacterial KW - chemotaxis AU - Chen, Kevin AU - Ford, Roseanne AU - Cummings, Peter PY - 2003/// ER -