In swimming-agar competitions (n = 5 per treatment), E. coli motility was favoured with a motile S. enterica partner (w = +0.84 Β± 0.23, p = 0.043) but selected against with a non-motile partner (w = β0.88 Β± 0.16, p = 0.014; Tukey Ξw = 1.720, p < 0.001). S. enterica motility was favoured with both partners (+2.41 Β± 0.67 and +1.98 Β± 0.11), with no significant difference between partner conditions (Ξw = 0.436, p = 0.75) [paper text].
Well-mixed liquid assays isolated the cost of motility, which did not differ between partner conditions (E. coli Ξs = 0.024, p = 0.47). The spatial benefit for E. coli with a non-motile partner collapsed to +0.021 Β± 0.016 per generation (p = 0.23), versus +0.154 to +0.434 in the five other treatments; benefit/cost ratios ranged 1.5β2.9 where motility was favoured, but only 0.21 for E. coli + non-motile S. enterica. Thus the reversal reflects loss of spatial benefit, not an increased cost.
A 1D reactionβdiffusion consumer-resource model (undirected motility; Monod kinetics; empirically derived parameters) qualitatively recapitulated all four experimental outcomes and identifies three determinants of motility selection: (1) the metabolite accumulation ratio (Ο = production/consumption) β scarce cross-fed metabolites create exploitable depletion-front gradients; (2) the number of limiting resources β co-limited E. coli requires lactose and methionine colocalised, making its motility benefit partner-dependent (a synthetic single-resource E. coli is favoured regardless of partner); and (3) partner motility and growth-rate asymmetry (Ο = 0.23), which controls where metabolite production occurs. Metabolites diffuse ~10Γ faster than cells (Ο± β 0.1), bounding beneficial dispersal below Ο± β 0.3.
Strengths: clean costβbenefit decomposition (liquid vs agar), mirrored by a mechanistic model, with sensitivity analyses showing results hold across four orders of magnitude of Ο where ΟMΟA > 1, plus grid-convergence checks. Limitations: single species pair and single geometry; 1D model vs 2D radial experiment; chemotaxis excluded; ΟM relies on an effective (not directly measured) methionine production value; n = 5 with multiple comparisons. The central claim would weaken if replicated agar competitions with a non-motile S. enterica partner failed to disfavour motile E. coli (w β₯ 0). Context: findings align with independent evolution experiments showing cross-feeding preserves motility that uniform external supply erodes, supporting a broad biogenic-vs-uniform resource framing.
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