We consider a nonlinear transport equation as a hyperbolic generalisation of the well-known reaction diffusion equation. Themodel is based on earlier work of K.P. Hadeler attempting to include run-and-tumble motion into the mathematical description. Previously, we proved the existence of strictly monotone travelling fronts for the three main types of the nonlinearity: the positive source term, ...

Leucine concentration jumps (applied by photolysis of inert derivatives) triggered swim or tumble responses in Escherichia coli mutants lacking Tsr or Tar, respectively. Wild-type E. coli bacteria were attracted in spatial assays when the initial leucine concentration difference was 5 to 120 micro M but were repulsed when it was over 0.5 mM. Their responses to concentration jumps confirmed earl...

E. coli does chemotaxis by performing a biased random walk composed of alternating periods of swimming (runs) and reorientations (tumbles). Tumbles are typically modelled as complete directional randomisations but it is known that in wild type E. coli, successive run directions are actually weakly correlated, with a mean directional difference of approximately 63 degrees. We recently presented ...

In this paper some results concerning the effect of intake flow modeling obtained by 3D numerical modeling of combustion on flame front shape and its displacement through combustion chamber geometry of s.i .engine consisting of flat head with two ver tical valves and cylindrical bowl were presented. These results obtained with KIVA3V code were compared with results of flame front shape and its ...

Microbiology is the science of microbes, particularly bacteria. Many bacteria are motile: they are capable of self-propulsion. Among these, a significant class execute so-called run-and-tumble motion: they follow a fairly straight path for a certain distance, then abruptly change direction before repeating the process. This dynamics has something in common with Brownian motion (it is diffusive ...

Filamentous cells of Escherichia coli can be produced by treatment with the antibiotic cephalexin, which blocks cell division but allows cell growth. To explore the effect of cell size on chemotactic activity, we studied the motility and chemotaxis of filamentous cells. The filaments, up to 50 times the length of normal E. coli organisms, were motile and had flagella along their entire lengths....