AbstractSmall chemotactic cells like Dictyostelium and neutrophils transduce shallow spatial chemoattractant gradients into strongly localized intracellular responses. We show that the capacity of a second messenger to establish and maintain localized signals, is mainly determined by its dispersion range, λ=Dm/k−1, which must be small compared to the cell's length. Therefore, short-living second messengers (high k−1) with diffusion coefficients Dm in the range of 0–5μm2 s−1 are most suitable. Additional to short dispersion ranges, gradient sensing may include positive feedback mechanisms that lead to local activation and global inhibition of second-messenger production. To introduce the essential nonlinear amplification, we have investigate...