A pathway-based mean-field theory (PBMFT) was recently proposed for E. coli chemotaxis in [G. Si, T. Wu, Q. Quyang and Y. Tu, Phys. Rev. Lett., 109 (2012), 048101]. In this paper, we derived a new moment system of PBMFT by using the moment closure technique in kinetic theory under the assumption that the methylation level is locally concentrated. The new system is hyperbolic with linear convect...

We derive the fully time-dependent solution to a run-and-tumble model for particle which has tumbling restricted boundaries of one-dimensional interval. This is achieved through field-theoretic perturbative framework by exploiting an elegant underlying structure perturbation theory. calculate densities, currents and variance as well characteristics boundary tumbling. The analytical findings, in...

This paper presents an optimal control strategy for a space robot to capture a free-tumbling object under the condition of having minimal impact to the base satellite during the capturing operation. The idea is to first predict a target time, location and speed of the tumbling object for the robot to intercept with such that, when the robot hand physically touches the object, it will transfer a...

Swimming bacteria display distinct motile patterns to explore their favorable environments, driven by bacterial flagella. A typical example of the flagellar motility is run-tumble swimming in Escherichia coli: CCW rotation a bundle propels cell forward. The undergoes reorientation (tumbling) upon switching from CW. It has been characterized using chemotactic mutants for studies; however, origin...

spin-lattice relaxation time Ti and second moment M 2 have been studied as a function of temperature over the temperature range 445 to 77 K. A discontinuous change in Ti at 365 K, indicates the presence of a phase transition, while the slope change at 152 K, is attributed to a change in the TMA ion dynamics from tumbling to torsion. The 7i results could be explained in terms of inequivalent TMA...

molecular tumbling causes that anisotropy of nuclear interaction now plays dominant role in the appearance of NMR spectra. Frankly speaking the NMR signals are very broad and spectra become featureless. In general missing isotropic tumbling leads to severe broadening of the detected signals. The lack of resolution, however; does not mean the absence of structure information, it rather reflects ...

This paper highlights the improved Adaptive Tumbling Bacterial Foraging Optimization (ATBFO) to grant better solution particularly in emission economic power dispatch issue. The proposed methodology simply takes care in solving non-convex power system issues along maintaining the requirement of all equipped constraints for healthy power delivery operation. The performances are evaluated with di...

A polymer placed in chaotic flow with large mean shear tumbles, making a-periodic flips. We describe the statistics of angular orientation, as well as of tumbling time (separating two subsequent flips) of polymers in this flow. The probability distribution function (PDF) of the polymer orientation is peaked around a shear-preferred direction. The tails of this angular PDF are algebraic. The PDF...

Bacillus subtilis, like Escherichia coli and Salmonella typhimurium, carries out chemotaxis by modulating the relative frequency of smooth swimming and tumbling. Like these enteric bacteria, methionine auxotrophs starved for methionine show an abnormally long-period of smooth swimming after addition of attractant. This "hypersensitive" state requires an hour of starvation for its genesis, which...