scholarly journals Fluctuation analysis: the probability distribution of the number of mutants under different conditions.

Genetics ◽  
1990 ◽  
Vol 124 (1) ◽  
pp. 175-185 ◽  
Author(s):  
F M Stewart ◽  
D M Gordon ◽  
B R Levin

Abstract In the 47 years since fluctuation analysis was introduced by Luria and Delbrück, it has been widely used to calculate mutation rates. Up to now, in spite of the importance of such calculations, the probability distribution of the number of mutants that will appear in a fluctuation experiment has been known only under the restrictive, and possibly unrealistic, assumptions: (1) that the mutation rate is exactly proportional to the growth rate and (2) that all mutants grow at a rate that is a constant multiple of the growth rate of the original cells. In this paper, we approach the distribution of the number of mutants from a new point of view that will enable researchers to calculate the distribution to be expected using assumptions that they believe to be closer to biological reality. The new idea is to classify mutations according to the number of observable mutants that derive from the mutation when the culture is selectively plated. This approach also simplifies the calculations in situations where two, or many, kinds of mutation may occur in a single culture.

2015 ◽  
Vol 6 ◽  
pp. 50-58
Author(s):  
I W Nyinoh

Seventy years ago, Luria and Delbrûck discovered fluctuation assay for estimating mutation rates. While this method is slightly dated, it is one of the few methods for estimating mutation rates in batch culture. Mutation rates when determined expose information on cellular processes and fundamental mutagenic mechanisms. Formerly, inferences drawn from fluctuation assay were sufficient to answer a specific question inbacterial genetics. However, contemporary interpretation of results goes far beyond the motive originally intended. As the fluctuation assay has gained popularity in various scientific disciplines, analyses of results obtained are not same. This study aims to compare the estimation of mutation rates using the Poison distribution (Po) method with, the Ma-Sarka Sandri maximum likelihood estimator and the Lea-Coulson median estimator. Mycobacterium smegmatismc 2 155was used as a model organism for Mycobacterium tuberculosis, and spontaneous mutations that arose in stationary phase cells exposed to antibiotic stress were investigated. Ten to twenty-four parallel cultures were tested with various anti-tuberculosis drugs; isoniazid, kanamycin, rifampicin and streptomycin. Minimum Inhibitory Concentration (MIC) of the drugs were also determinedto be; 8 ìg/mL, 0.24 ìg/mL, 16 ìg/mL and 0.5 ìg/mL for isoniazid, kanamycin, rifampicin and streptomycin respectively. The mutation rates obtained with the methods were very similar. To improve the power of deductions drawn from fluctuation assay, efforts should be made to experimentally determine the relative fitness of wild-type to mutant bacteria.This comparison is only a guide providing evidence regarding the authenticity of some of the methods currently available to researchers interested in estimating bacterial mutation rates.Keywords: antibiotic resistance, mutation rate, fluctuation assay, fluctuation analysis calculator.


2018 ◽  
Author(s):  
Iveren W Nyinoh ◽  
Johnjoe McFadden

AbstractMycobacteria population can undergo mutations in their DNA sequence during replication, which if not repaired, would be transferred to future generations. In this study, in vitro spontaneous mutations in Mycobacterium smegmatis mc2155 (Msm) conferring resistance to isoniazid (INHr), rifampicin (RIFr), kanamycin (KANr) and streptomycin (STRr) were determined at several concentrations in a fluctuation assay. Mutation rate was estimated using the P₀ method, and estimates were then compared with the Lea-Coulson method of the median and Ma-Sandri-Sarkar Maximum Likelihood Estimator (MSS-MLE) method available on the Fluctuation analysis calculator (FALCOR). The mutation rates of RIFr ranged from 9.24 × 10-8 - 2.18 × 10-10, INHr 1.2 × 10-7 - 1.20×10-9, STRr 2.77 × 10-8 - 5.31 × 10-8 and KANr 1.7 × 10-8 mutations per cell division. This study provides mutation rate estimates to key antitubercular drugs at a range of concentrations.


mBio ◽  
2017 ◽  
Vol 8 (4) ◽  
Author(s):  
Issei Nishimura ◽  
Masaomi Kurokawa ◽  
Liu Liu ◽  
Bei-Wen Ying

ABSTRACT Genome size is determined during evolution, but it can also be altered by genetic engineering in laboratories. The systematic characterization of reduced genomes provides valuable insights into the cellular properties that are quantitatively described by the global parameters related to the dynamics of growth and mutation. In the present study, we analyzed a small collection of W3110 Escherichia coli derivatives containing either the wild-type genome or reduced genomes of various lengths to examine whether the mutation rate, a global parameter representing genomic plasticity, was affected by genome reduction. We found that the mutation rates of these cells increased with genome reduction. The correlation between genome length and mutation rate, which has been reported for the evolution of bacteria, was also identified, intriguingly, for genome reduction. Gene function enrichment analysis indicated that the deletion of many of the genes encoding membrane and transport proteins play a role in the mutation rate changes mediated by genome reduction. Furthermore, the increase in the mutation rate with genome reduction was highly associated with a decrease in the growth rate in a nutrition-dependent manner; thus, poorer media showed a larger change that was of higher significance. This negative correlation was strongly supported by experimental evidence that the serial transfer of the reduced genome improved the growth rate and reduced the mutation rate to a large extent. Taken together, the global parameters corresponding to the genome, growth, and mutation showed a coordinated relationship, which might be an essential working principle for balancing the cellular dynamics appropriate to the environment. IMPORTANCE Genome reduction is a powerful approach for investigating the fundamental rules for living systems. Whether genetically disturbed genomes have any specific properties that are different from or similar to those of natively evolved genomes has been under investigation. In the present study, we found that Escherichia coli cells with reduced genomes showed accelerated nucleotide substitution errors (mutation rates), although these cells retained the normal DNA mismatch repair systems. Intriguingly, this finding of correlation between reduced genome size and a higher mutation rate was consistent with the reported evolution of mutation rates. Furthermore, the increased mutation rate was quantitatively associated with a decreased growth rate, indicating that the global parameters related to the genome, growth, and mutation, which represent the amount of genetic information, the efficiency of propagation, and the fidelity of replication, respectively, are dynamically coordinated. IMPORTANCE Genome reduction is a powerful approach for investigating the fundamental rules for living systems. Whether genetically disturbed genomes have any specific properties that are different from or similar to those of natively evolved genomes has been under investigation. In the present study, we found that Escherichia coli cells with reduced genomes showed accelerated nucleotide substitution errors (mutation rates), although these cells retained the normal DNA mismatch repair systems. Intriguingly, this finding of correlation between reduced genome size and a higher mutation rate was consistent with the reported evolution of mutation rates. Furthermore, the increased mutation rate was quantitatively associated with a decreased growth rate, indicating that the global parameters related to the genome, growth, and mutation, which represent the amount of genetic information, the efficiency of propagation, and the fidelity of replication, respectively, are dynamically coordinated.


2017 ◽  
Vol 118 (4) ◽  
Author(s):  
Ivan Matic

Organisms live in constantly changing environments in which, the nature, severity and frequency of the environmental stresses are very variable. Organisms possess multiple strategies for coping with the environmental fluctuations. One such strategy is modulation of mutation rates as a function of the degree of adaptation to the environment. When adaptation is limited by the available genetic variability, natural selection favors cells having high mutation rates in bacterial populations. High mutation rates can be advantageous because they increase the probability of generation of beneficial mutations. Constitutive mutator alleles are carried to high frequency through hitchhiking with beneficial mutations they generate. However, once the adaptation is achieved, the cost of deleterious mutations generated by constitutive mutator alleles reduces cellular fitness. For this reason, the possibility of adapting the mutation rate to environmental conditions is interesting from an evolutionary point of view. Stress-induced mutagenesis allows rapid adaptation to complex environmental challenges without compromising the population fitness because it reduces the overall cost of a high mutation rate. Here we review the molecular mechanisms involved in the control of modulation of mutation rates in bacteria.


2007 ◽  
Vol 51 (9) ◽  
pp. 3225-3229 ◽  
Author(s):  
Carolyn V. Gould ◽  
Paul D. Sniegowski ◽  
Mikhail Shchepetov ◽  
Joshua P. Metlay ◽  
Jeffrey N. Weiser

ABSTRACT The occurrence of mutator phenotypes among laboratory-generated and clinical levofloxacin-resistant strains of Streptococcus pneumoniae was determined using fluctuation analysis. The in vitro selection for levofloxacin-resistant mutants of strain D39, each with point mutations in both gyrA and parC or parE, was not associated with a significant change in the mutation rate. Two of eight clinical isolates resistant to levofloxacin (MIC, >8 μg/ml) had estimated mutation rates of 1.2 × 10−7 and 9.4 × 10−8 mutations per cell division, indicating potential mutator phenotypes, compared to strain D39, which had an estimated mutation rate of 1.4 × 10−8 mutations per cell division. The levofloxacin-resistant isolates with the highest mutation rates showed evidence of dysfunctional mismatch repair and contained missense mutations in mut genes at otherwise highly conserved sites. The association of hypermutability in levofloxacin-resistant S. pneumoniae clinical isolates with mutations in DNA mismatch repair genes provides further evidence that mismatch repair mutants may have a selective advantage in the setting of antibiotic pressure, facilitating the development of further antibiotic resistance.


1974 ◽  
Vol 11 (03) ◽  
pp. 437-444 ◽  
Author(s):  
Benoit Mandelbrot

Luria and Delbrück (1943) have observed that, in old cultures of bacteria that have mutated at random, the distribution of the number of mutants is extremely long-tailed. In this note, this distribution will be derived (for the first time) exactly and explicitly. The rates of mutation will be allowed to be either positive or infinitesimal, and the rate of growth for mutants will be allowed to be either equal, greater or smaller than for non-mutants. Under the realistic limit condition of a very low mutation rate, the number of mutants is shown to be a stable-Lévy (sometimes called “Pareto Lévy”) random variable, of maximum skewness ß, whose exponent α is essentially the ratio of the growth rates of non-mutants and of mutants. Thus, the probability of the number of mutants exceeding the very large value m is proportional to m –α–1 (a behavior sometimes referred to as “asymptotically Paretian” or “hyperbolic”). The unequal growth rate cases α ≠ 1 are solved for the first time. In the α = 1 case, a result of Lea and Coulson is rederived, interpreted, and generalized. Various paradoxes involving divergent moments that were encountered in earlier approaches are either absent or fully explainable. The mathematical techniques used being standard, they will not be described in detail, so this note will be primarily a collection of results. However, the justification for deriving them lies in their use in biology, and the mathematically unexperienced biologists may be unfamiliar with the tools used. They may wish for more details of calculations, more explanations and Figures. To satisfy their needs, a report available from the author upon request has been prepared. It will be referred to as Part II.


2016 ◽  
Vol 283 (1841) ◽  
pp. 20161785 ◽  
Author(s):  
Long Wang ◽  
Yanchun Zhang ◽  
Chao Qin ◽  
Dacheng Tian ◽  
Sihai Yang ◽  
...  

Mutation rates and recombination rates vary between species and between regions within a genome. What are the determinants of these forms of variation? Prior evidence has suggested that the recombination might be mutagenic with an excess of new mutations in the vicinity of recombination break points. As it is conjectured that domesticated taxa have higher recombination rates than wild ones, we expect domesticated taxa to have raised mutation rates. Here, we use parent–offspring sequencing in domesticated and wild peach to ask (i) whether recombination is mutagenic, and (ii) whether domesticated peach has a higher recombination rate than wild peach. We find no evidence that domesticated peach has an increased recombination rate, nor an increased mutation rate near recombination events. If recombination is mutagenic in this taxa, the effect is too weak to be detected by our analysis. While an absence of recombination-associated mutation might explain an absence of a recombination–heterozygozity correlation in peach, we caution against such an interpretation.


1994 ◽  
Vol 346 (1317) ◽  
pp. 333-343 ◽  

High mutation rates are generally considered to be detrimental to the fitness of multicellular organisms because mutations untune finely tuned biological machinery. However, high mutation rates may be favoured by a need to evade an immune system that has been strongly stimulated to recognize those variants that reproduced earlier during the infection, hiv infections conform to this situation because they are characterized by large numbers of viruses that are continually breaking latency and large numbers that are actively replicating throughout a long period of infection. To be transmitted, HIVS are thus generally exposed to an immune system that has been activated to destroy them in response to prior viral replication in the individual. Increases in sexual contact should contribute to this predicament by favouring evolution toward relatively high rates of replication early during infection. Because rapid replication and high mutation rate probably contribute to rapid progression of infections to aids, the interplay of sexual activity, replication rate, and mutation rate helps explain why HIV-1 has only recently caused a lethal pandemic, even though molecular data suggest that it may have been present in humans for more than a century. This interplay also offers an explanation for geographic differences in progression to cancer found among infections due to the other major group of human retroviruses, human T-cell lymphotropic viruses (HTLV). Finally, it suggests ways in which we can use natural selection as a tool to control the aids pandemic and prevent similar pandemics from arising in the future.


2018 ◽  
Vol 115 (36) ◽  
pp. 8996-9001 ◽  
Author(s):  
Bryan P. Thornlow ◽  
Josh Hough ◽  
Jacquelyn M. Roger ◽  
Henry Gong ◽  
Todd M. Lowe ◽  
...  

Transfer RNAs (tRNAs) are a central component for the biological synthesis of proteins, and they are among the most highly conserved and frequently transcribed genes in all living things. Despite their clear significance for fundamental cellular processes, the forces governing tRNA evolution are poorly understood. We present evidence that transcription-associated mutagenesis and strong purifying selection are key determinants of patterns of sequence variation within and surrounding tRNA genes in humans and diverse model organisms. Remarkably, the mutation rate at broadly expressed cytosolic tRNA loci is likely between 7 and 10 times greater than the nuclear genome average. Furthermore, evolutionary analyses provide strong evidence that tRNA genes, but not their flanking sequences, experience strong purifying selection acting against this elevated mutation rate. We also find a strong correlation between tRNA expression levels and the mutation rates in their immediate flanking regions, suggesting a simple method for estimating individual tRNA gene activity. Collectively, this study illuminates the extreme competing forces in tRNA gene evolution and indicates that mutations at tRNA loci contribute disproportionately to mutational load and have unexplored fitness consequences in human populations.


2004 ◽  
Vol 23 (2) ◽  
pp. 117-124 ◽  
Author(s):  
B. Myhre Dupuy ◽  
M. Stenersen ◽  
T. Egeland ◽  
B. Olaisen

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