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Social interactions in myxobacterial swarming.

Wu Y, Jiang Y, Kaiser D, Alber M - PLoS Comput. Biol. (2007)

Bottom Line: Also, the model is able to quantify the contributions of S motility and A motility to swarming.Some pathogenic bacteria spread over infected tissue by swarming.The model described here may shed some light on their colonization process.

View Article: PubMed Central - PubMed

Affiliation: Department of Physics, University of Notre Dame, Notre Dame, Indiana, United States of America.

ABSTRACT
Swarming, a collective motion of many thousands of cells, produces colonies that rapidly spread over surfaces. In this paper, we introduce a cell-based model to study how interactions between neighboring cells facilitate swarming. We chose to study Myxococcus xanthus, a species of myxobacteria, because it swarms rapidly and has well-defined cell-cell interactions mediated by type IV pili and by slime trails. The aim of this paper is to test whether the cell contact interactions, which are inherent in pili-based S motility and slime-based A motility, are sufficient to explain the observed expansion of wild-type swarms. The simulations yield a constant rate of swarm expansion, which has been observed experimentally. Also, the model is able to quantify the contributions of S motility and A motility to swarming. Some pathogenic bacteria spread over infected tissue by swarming. The model described here may shed some light on their colonization process.

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Fitting Curves of Spreading Rates of Wild-Type (A+S+) Myxobacteria and Motility Mutants (Reproduced by Using Data from [10])The dots are experimental data points. The fitting functions are as follows: wild-type (A+S+), f(x) = a − b × exp(−x / c), with a = 1.55 ± 0.06, b = 1.41 ± 0.10, and c = 56 ± 10; A+S− mutant, g(x) = a − b × exp(−x / c), with a = 0.67 ± 0.03, b = 0.49 ± 0.05, and c = 57 ± 16; and A−S+ mutant, h(x) = b × (1 − exp(−x / c)), with b = 0.46 ± 0.02 and c = 184 ± 27. The density is in K-S units, and the expansion rate is in microns per minute.
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pcbi-0030253-g002: Fitting Curves of Spreading Rates of Wild-Type (A+S+) Myxobacteria and Motility Mutants (Reproduced by Using Data from [10])The dots are experimental data points. The fitting functions are as follows: wild-type (A+S+), f(x) = a − b × exp(−x / c), with a = 1.55 ± 0.06, b = 1.41 ± 0.10, and c = 56 ± 10; A+S− mutant, g(x) = a − b × exp(−x / c), with a = 0.67 ± 0.03, b = 0.49 ± 0.05, and c = 57 ± 16; and A−S+ mutant, h(x) = b × (1 − exp(−x / c)), with b = 0.46 ± 0.02 and c = 184 ± 27. The density is in K-S units, and the expansion rate is in microns per minute.

Mentions: A wild-type cell (A+S+) expresses both A and S motilities. A+S− mutants express only A motility, while those with S motility but no A motility are called A−S+ mutants [9]. Because wild-type and A+S− mutants are self-propelled by A motility engines, a comparison can expose the social interactions specific to the type IV pili. In both cases, individual cells are observed to move, stop, and move again, sometimes slightly changing direction and regularly reversing [3]. To investigate the coordinated motion within M. xanthus swarms, culture droplets of each mutant were placed on agar plates, and the swarm expansion rates were measured [10]. Figure 1 shows the edge of a typical swarm of wild-type (A+S+) cells. It is observed that swarm expansion rates remain constant until the swarm covers the entire surface available [10]. The expansion rates for various initial cell densities in K-S units were measured and plotted against the cell densities. (K-S is Klett-Summerson unit; a measurement of cell density in suspensions [10]. A sample of cell suspension with 100 K-S units has approximately 4 ×108 cells/ml. Using the experimental data in [10], we find that 100 K-S units correspond to a close-packing arrangement of cells in a 2-D area.) The fitted functions of expansion rate data for the three cell types are shown as solid lines in Figure 2. To a first approximation, the velocity of individual cells, when they are moving, is the same for S− mutants (A+S−) and wild-type (A+S+) cells, about 4 μm/min, but their swarm expansion rates are different [10]. The A+S− and A−S+ mutants swarm with a maximum rate of 0.67 μm/min and 0.46 μm/min, respectively. Surprisingly, when S motility cooperates with A motility in wild-type M. xanthus (A+S+), the maximum swarming rate is 1.55 μm/min, about 2.3-fold larger than that of A+S− ([10], as shown in Figure 2).


Social interactions in myxobacterial swarming.

Wu Y, Jiang Y, Kaiser D, Alber M - PLoS Comput. Biol. (2007)

Fitting Curves of Spreading Rates of Wild-Type (A+S+) Myxobacteria and Motility Mutants (Reproduced by Using Data from [10])The dots are experimental data points. The fitting functions are as follows: wild-type (A+S+), f(x) = a − b × exp(−x / c), with a = 1.55 ± 0.06, b = 1.41 ± 0.10, and c = 56 ± 10; A+S− mutant, g(x) = a − b × exp(−x / c), with a = 0.67 ± 0.03, b = 0.49 ± 0.05, and c = 57 ± 16; and A−S+ mutant, h(x) = b × (1 − exp(−x / c)), with b = 0.46 ± 0.02 and c = 184 ± 27. The density is in K-S units, and the expansion rate is in microns per minute.
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Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC2230681&req=5

pcbi-0030253-g002: Fitting Curves of Spreading Rates of Wild-Type (A+S+) Myxobacteria and Motility Mutants (Reproduced by Using Data from [10])The dots are experimental data points. The fitting functions are as follows: wild-type (A+S+), f(x) = a − b × exp(−x / c), with a = 1.55 ± 0.06, b = 1.41 ± 0.10, and c = 56 ± 10; A+S− mutant, g(x) = a − b × exp(−x / c), with a = 0.67 ± 0.03, b = 0.49 ± 0.05, and c = 57 ± 16; and A−S+ mutant, h(x) = b × (1 − exp(−x / c)), with b = 0.46 ± 0.02 and c = 184 ± 27. The density is in K-S units, and the expansion rate is in microns per minute.
Mentions: A wild-type cell (A+S+) expresses both A and S motilities. A+S− mutants express only A motility, while those with S motility but no A motility are called A−S+ mutants [9]. Because wild-type and A+S− mutants are self-propelled by A motility engines, a comparison can expose the social interactions specific to the type IV pili. In both cases, individual cells are observed to move, stop, and move again, sometimes slightly changing direction and regularly reversing [3]. To investigate the coordinated motion within M. xanthus swarms, culture droplets of each mutant were placed on agar plates, and the swarm expansion rates were measured [10]. Figure 1 shows the edge of a typical swarm of wild-type (A+S+) cells. It is observed that swarm expansion rates remain constant until the swarm covers the entire surface available [10]. The expansion rates for various initial cell densities in K-S units were measured and plotted against the cell densities. (K-S is Klett-Summerson unit; a measurement of cell density in suspensions [10]. A sample of cell suspension with 100 K-S units has approximately 4 ×108 cells/ml. Using the experimental data in [10], we find that 100 K-S units correspond to a close-packing arrangement of cells in a 2-D area.) The fitted functions of expansion rate data for the three cell types are shown as solid lines in Figure 2. To a first approximation, the velocity of individual cells, when they are moving, is the same for S− mutants (A+S−) and wild-type (A+S+) cells, about 4 μm/min, but their swarm expansion rates are different [10]. The A+S− and A−S+ mutants swarm with a maximum rate of 0.67 μm/min and 0.46 μm/min, respectively. Surprisingly, when S motility cooperates with A motility in wild-type M. xanthus (A+S+), the maximum swarming rate is 1.55 μm/min, about 2.3-fold larger than that of A+S− ([10], as shown in Figure 2).

Bottom Line: Also, the model is able to quantify the contributions of S motility and A motility to swarming.Some pathogenic bacteria spread over infected tissue by swarming.The model described here may shed some light on their colonization process.

View Article: PubMed Central - PubMed

Affiliation: Department of Physics, University of Notre Dame, Notre Dame, Indiana, United States of America.

ABSTRACT
Swarming, a collective motion of many thousands of cells, produces colonies that rapidly spread over surfaces. In this paper, we introduce a cell-based model to study how interactions between neighboring cells facilitate swarming. We chose to study Myxococcus xanthus, a species of myxobacteria, because it swarms rapidly and has well-defined cell-cell interactions mediated by type IV pili and by slime trails. The aim of this paper is to test whether the cell contact interactions, which are inherent in pili-based S motility and slime-based A motility, are sufficient to explain the observed expansion of wild-type swarms. The simulations yield a constant rate of swarm expansion, which has been observed experimentally. Also, the model is able to quantify the contributions of S motility and A motility to swarming. Some pathogenic bacteria spread over infected tissue by swarming. The model described here may shed some light on their colonization process.

Show MeSH