… b, c, A model of proliferating hard spheres reproduces the length-dependent transition from
gaseous to jammed. The maximum fraction Φ(0) at the floor of the cavities is shown in b … in b. …

… (b) Scanning electron micrograph of E. coli cells on a silicon surface. Reproduced with … (B)
Histogram of fluorescence intensities per area, obtained from analysis of many such images (…

… A cell with no cancer cell neighbours replicates at the maximal rate of b = ln(2) = 0.69 days
−1 , in which b denotes the initial birth rate, equivalent to 24 h cell-doubling time, and a cell …

We show that the eigenvalue density of a product X= X 1 X 2⋯ XM of M independent N× N
Gaussian random matrices in the limit N→∞ is rotationally symmetric in the complex plane …

We define a new class of random walk processes which maximize entropy. This maximal
entropy random walk is equivalent to generic random walk if it takes place on a regular lattice, …

We study colonies of nonmotile, rod-shaped bacteria growing on solid substrates. In our
model, bacteria interact purely mechanically, by pushing each other away as they grow, and …

… Cells migrate between microhabitats i and i Æ 1 at rate b=2 and die at a fixed rate d; the … 1
and the units of drug concentration by fixing 1¼ 1, and we set b ¼ 0:1, d¼0:1, andK ¼ 100. We …

… 1b–d indicates that the observed adaptation gain of range expansions hinges on the formation
… 1b–d). The rapid increase in sector size with selective advantage of the mutant strain is …

… Performing simulations for many different values of E b and k(C a = 1.5%), we find that the
microcolony area and cell density at the transition match those determined experimentally for …

… (B) Theoretical model of the LeGO system whereby mixing of the three basic colors red,
blue, and green leads to the generation of the whole spectrum of rainbow colors. (C) …