22While the spatiotemporal structure of the genome is crucial to its biological function, many basic questions 23 remain unanswered on the morphology and segregation of chromosomes. Here, we experimentally show in 24 Escherichia coli that spatial confinement plays a dominant role in determining both the chromosome size 25 and position. In non-dividing cells with lengths up to 10 times normal, single chromosomes are observed 26 to expand more than 4 fold in size, an effect only modestly influenced by deletions of various nucleoid-27 associated proteins. Chromosomes show pronounced internal dynamics but exhibit a robust positioning 28 where single nucleoids reside strictly at mid-cell, while two nucleoids self-organize at ¼ and ¾ cell 29 positions. Molecular dynamics simulations of model chromosomes recapitulate these phenomena and 30 indicate that these observations can be attributed to depletion effects induced by cytosolic crowders. These 31 findings highlight boundary confinement as a key causal factor that needs to be considered for 32 understanding chromosome organization. 33 34 Key words 35 36
Motivated by recent experiments probing shape, size and dynamics of bacterial chromosomes in growing cells, we consider a polymer model consisting of a circular backbone to which side-loops are attached, confined to a cylindrical cell. Such a model chromosome spontaneously adopts a helical shape, which is further compacted by molecular crowders to occupy a nucleoid-like subvolume of the cell. With increasing cell length, the longitudinal size of the chromosome increases in a non-linear fashion to finally saturate, its morphology gradually opening up while displaying a changing number of helical turns. For shorter cells, the chromosome extension varies non-monotonically with cell size, which we show is associated with a radial-to longitudinal spatial re-ordering of the crowders. Confinement and crowders constrain chain dynamics leading to anomalous diffusion. While the scaling exponent for the mean squared displacement of center of mass grows and saturates with cell length, that of individual loci displays broad distribution with a sharp maximum.
The pressure-driven displacement of a non-Newtonian fluid by a Newtonian fluid in a two-dimensional channel is investigated via a multiphase lattice Boltzmann method using a non-ideal gas equation of state well-suited for two incompressible fluids. The code has been validated by comparing the results obtained using different regularized models, proposed in the literature, to model the viscoplasticity of the displaced material. Then, the effects of the Bingham number, which characterises the behaviour of the yield-stress of the fluid and the flow index, which reflects the shear-thinning/thickening tendency of the fluid, are studied. It was found that increasing the Bingham number and increasing the flow index increases the size of the unyielded region of the fluid in the downstream portion of the 1 channel and increases the thickness of the residual layer of the fluid resident initially in the channel; the latter is left behind on the channel walls by the propagating 'finger' of the displacing fluid. This, in turn, reduces the growth rate of interfacial instabilities and the speed of finger propagation.
The effect of salt on the static properties of aqueous solution of gelatin is studied by molecular dynamics simulation at pH = 1.2, 7, and 10. At the isoelectric point (pH = 7), a monotonic increase in size of the polymer is obtained with the addition of sodium chloride ions. In the positive polyelectrolyte regime (pH = 1.2), collapse of gelatin is observed with increase in salt concentration. In the negative polyelectrolyte regime, we observe an interesting collapse–reexpansion behavior. This is due to the screening of repulsion between the excess charges followed by the screening of attraction of oppositely charged ions as the salt concentration is increased. This mechanism is very different from the charge inversion mechanism which causes the reexpansion in the presence of multivalent ions. The location of salt concentration corresponding to the minimum size of the chain is comparable to the theoretical estimate. The shift in the peak of radial distribution function calculated between monomers and salt ions confirms this spatial reorganization. The predictions from the simulation are verified by dynamic light scattering(DLS) and small-angle X-ray scattering (SAXS) experiments. The size of the hydrodynamic “clusters” obtained from DLS confirms the simulation predictions. Persistence length of the gelatin is calculated from SAXS to get single chain statistics, which also agrees well with the simulation results.
22While the spatiotemporal structure of the genome is crucial to its biological function, many basic questions 23 remain unanswered on the morphology and segregation of chromosomes. Here, we experimentally show in 24 Escherichia coli that spatial confinement plays a dominant role in determining both the chromosome size 25 and position. In non-dividing cells with lengths up to 10 times normal, single chromosomes are observed 26 to expand more than 4 fold in size, an effect only modestly influenced by deletions of various nucleoid-27 associated proteins. Chromosomes show pronounced internal dynamics but exhibit a robust positioning 28 where single nucleoids reside strictly at mid-cell, while two nucleoids self-organize at ¼ and ¾ cell 29 positions. Molecular dynamics simulations of model chromosomes recapitulate these phenomena and 30indicate that these observations can be attributed to depletion effects induced by cytosolic crowders. These 31 findings highlight boundary confinement as a key causal factor that needs to be considered for 32 understanding chromosome organization. 33 34
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