The Global Turning Probability Density Function for Motile Bacteria and its Applications Export

@article{1998Chen, abstract = {The angular turning probability density distribution for motile bacteria is usually measured in local coordinates and is therefore inconvenient for global analyses of the chemotactic bacterial migration. In this paper we present analytical derivations that convert the local angular turning probability density distribution into a global one. The explicit expression of a reduced global turning probability density function for motile bacteria was derived and its relevant properties were investigated. Depending on the angle variable being intergrated and the integration range, three types of cosine moments were separately defined and studied. Some statistical indices and parameters such as the directional persistence, persistence number, and one-dimensional reversal probability were found to be embedded in the various moments of the reduced global turning probability density function. Applications of the reduced global turning probability and its integrated moments to a three-dimensional cell balance equation in an axisymmetric system were also discussed.}, author = {Chen, Kevin C. and Ford, Roseanne M. and Cummings, Peter T.}, citeulike-article-id = {3181783}, citeulike-linkout-0 = {http://dx.doi.org/10.1006/jtbi.1998.0768}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6WMD-45J5B0T-9/2/ddd329305e0cc4b967ad3dfd6ee8c8c1}, day = {21}, doi = {10.1006/jtbi.1998.0768}, journal = {Journal of Theoretical Biology}, keywords = {angle, probability, turning}, month = {November}, number = {2}, pages = {139--155}, posted-at = {2008-09-02 12:45:03}, priority = {2}, title = {The Global Turning Probability Density Function for Motile Bacteria and its Applications}, url = {http://dx.doi.org/10.1006/jtbi.1998.0768}, volume = {195}, year = {1998} }

TY - JOUR ID - 1998Chen L3 - citeulike-article-id:3181783 N2 - The angular turning probability density distribution for motile bacteria is usually measured in local coordinates and is therefore inconvenient for global analyses of the chemotactic bacterial migration. In this paper we present analytical derivations that convert the local angular turning probability density distribution into a global one. The explicit expression of a reduced global turning probability density function for motile bacteria was derived and its relevant properties were investigated. Depending on the angle variable being intergrated and the integration range, three types of cosine moments were separately defined and studied. Some statistical indices and parameters such as the directional persistence, persistence number, and one-dimensional reversal probability were found to be embedded in the various moments of the reduced global turning probability density function. Applications of the reduced global turning probability and its integrated moments to a three-dimensional cell balance equation in an axisymmetric system were also discussed. IS - 2 JF - Journal of Theoretical Biology EP - 155 TI - The Global Turning Probability Density Function for Motile Bacteria and its Applications VL - 195 SP - 139 KW - angle KW - probability KW - turning AU - Chen, Kevin AU - Ford, Roseanne AU - Cummings, Peter PY - 1998/11/21/ UR - http://dx.doi.org/10.1006/jtbi.1998.0768 ER -