Cell balance equation for chemotactic bacteria with a biphasic tumbling frequency
Cell balance equation for chemotactic bacteria with a biphasic tumbling frequency
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DOI：
10.1007/s00285-003-0216-8
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发表时间：
2003-12-01
影响因子：
1.9
通讯作者：
Cummings, PT
中科院分区：
文献类型：
--
作者：
Chen, KC;Ford, RM;Cummings, PT
Alt的三维细胞平衡方程表征的趋化细菌进行了分析下的一维空间化学引诱剂梯度的存在。我们的工作不同于其他人谁已经开发出相当一般的模型，在使用的非光滑各向异性翻滚频率函数，响应双相结合的时间和空间的趋化梯度的趋化性。一般的三维表达式的细菌运输参数推导出趋化细菌，然后根据平面几何的扰动分析。用运动张量和趋化速度矢量描述细菌的随机运动和趋化。调用扩散近似假设和使用修改的细胞游泳速度的内在一维模型的后果进行了研究，通过数值模拟。表征细菌随机取向后翻滚的转向角概率分布函数，我们发现，只有一阶角矩的转向角概率分布是重要的影响细菌的长期运输。
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.