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Masami Hasegawa

Publications and source records attributed to Masami Hasegawa.

At least 19 recordsLinked to original sources

Root of the Eukaryota tree as inferred from combined maximum likelihood analyses of multiple molecular sequence data.

Extensive studies aiming to establish the structure and root of the Eukaryota tree by phylogenetic analyses of molecular sequences have thus far not resulted in a generally accepted tree. To re-examine the eukaryotic phylogeny using alternative genes, and to obtain a more robust inference for the root of the tree as well as the relationship among major eukaryotic groups, we sequenced the genes encoding isoleucyl-tRNA and valyl-tRNA synthetases, cytosolic-type heat shock protein 90, and the largest subunit of RNA polymerase II from several protists. Combined maximum likelihood analyses of 22 protein-coding genes including the above four genes clearly demonstrated that Diplomonadida and Parabasala shared a common ancestor in the rooted tree of Eukaryota, but only when the fast-evolving sites were excluded from the original data sets. The combined analyses, together with recent findings on the distribution of a fused dihydrofolate reductase-thymidylate synthetase gene, narrowed the possible position of the root of the Eukaryota tree on the branch leading to Opisthokonta or to the common ancestor of Diplomonadida/Parabasala. However, the analyses did not agree with the position of the root located on the common ancestor of Opisthokonta and Amoebozoa, which was argued by Stechmann and Cavalier-Smith [Curr. Biol. 13:R665-666, 2003] based on the presence or absence of a three-gene fusion of the pyrimidine biosynthetic pathway: carbamoyl-phosphate synthetase II, dihydroorotase, and aspartate carbamoyltransferase. The presence of the three-gene fusion recently found in the Cyanidioschyzon merolae (Rhodophyta) genome sequence data supported our analyses against the Stechmann and Cavalier-Smith-rooting in 2003.

Animals↗

Cyanobacterial genes transmitted to the nucleus before divergence of red algae in the Chromista.

The plastids of red algae, green plants, and glaucophytes may have originated directly from a cyanobacterium-like prokaryote via primary endosymbiosis. In contrast, the plastids of other lineages of eukaryotic phototrophs appear to be the result of secondary or tertiary endosymbiotic events involving a phototrophic eukaryote and a eukaryotic host cell. Although phylogenetic analyses of multiple plastid genes from a wide range of eukaryotic lineages have been carried out, the phylogenetic positions of the secondary plastids of the Chromista (Heterokontophyta, Haptophyta and Cryptophyta) are ambiguous in a range of different analyses. This ambiguity may be the result of unusual substitutions or bias in the plastid genes established by the secondary endosymbiosis. In this study, we carried out phylogenetic analyses of five nuclear genes of cyanobacterial origin (6-phosphogluconate dehydrogenase [gnd], oxygen-evolving-enhancer [psbO], phosphoglycerate kinase [pgk], delta-aminolevulinic acid dehydratase [aladh], and ATP synthase gamma [atpC] genes), using the genome sequence data from the primitive red alga Cyanidioschyzon merolae 10D. The sequence data robustly resolved the origin of the cyanobacterial genes in the nuclei of the Chromista (Heterokontophyta and Haptophyta) and Dinophyta, before the divergence of the extant red algae (including Porphyra [Rhodophyceae] and Cyanidioschyzon [Cyadidiophyceae]). Although it is likely that gnd genes in the Chromista were transmitted from the cyanobacterium-like ancestor of plastids in the primary endosymbiosis, other genes might have been transferred from nuclei of a red algal ancestor in the secondary endosymbiosis. Therefore, the results indicate that the Chromista might have originated from the ancient secondary endosymbiosis before the divergence of extant red algae.

Base Sequence↗

Detecting excess radical replacements in phylogenetic trees.

There are a few instances in which positive Darwinian selection has been convincingly demonstrated at the molecular level. In this study, we present a novel test for detecting excess of radical amino-acid replacements. Such excess is usually indicative of positive Darwinian selection, but may also be due to relaxed functional constraints or model misspecification. In our test, each amino-acid replacement is characterized in terms of a physicochemical distance, i.e., the degree of dissimilarity between the exchanged amino-acid residues. By using phylogenetic trees based on protein sequences, our test identifies statistically significant deviations of the mean physicochemical distance from the random expectation, either along a taxonomic lineage or across a subtree. The mean inferred distance is calculated as the average physicochemical distance over all possible ancestral sequence reconstructions weighted by their likelihood. Our method substantially improves over previous approaches by taking into account the stochastic process, tree phylogeny, among-site rate variation, and alternative ancestral reconstructions. We provide a fast linear time algorithm for applying this test to all branches and all subtrees of a given phylogenetic tree. We validate this approach by applying it to two well-studied datasets: the MHC class I glycoproteins serving as a positive control, and the house-keeping gene carbonic anhydrase I serving as a negative control.

Algorithms↗

Phylogenetic relationships among JC virus strains in Japanese/Koreans and Native Americans speaking Amerind or Na-Dene.

Many genetic studies using human mtDNA or the Y chromosome have been conducted to elucidate the relationships among the three Native American groups speaking Amerind, Na-Dene, and Eskimo-Aleut. Human polyomavirus JC (JCV) may also help to gain insights into this issue. JCV isolates are classified into more than 10 geographically distinct genotypes (designated subtypes here), which were generated by splits in the three superclusters, Types A, B, and C. A particular subtype of JCV (named MY) belonging to Type B is spread in both Japanese/Koreans and Native Americans speaking Amerind or Na-Dene. In this study, we evaluated the phylogenetic relationships among MY isolates worldwide, using the whole-genome approach, with which a highly reliable phylogeny of JCV isolates can be reconstructed. Thirty-six complete sequences belonging to MY (10 from Japanese/Koreans, 24 from Native Americans, and 2 from others), together with 54 belonging to other subtypes around the world, were aligned and subjected to phylogenetic analysis using the neighbor-joining and maximum-likelihood methods. In the resultant phylogenetic trees, the MY sequences diverged into two Japanese/Korean and five Native American clades with high bootstrap probabilities. Two of the Native American clades contained isolates mainly from Na-Denes and the others contained isolates mainly from Amerinds. The Na-Dene clades were not clustered together, nor were the Amerind clades. In contrast, the two Japanese/Korean clades were clustered at a high bootstrap probability. We concluded that there is no distinction between Amerinds and Na-Denes in terms of indigenous JCVs, although they are linguistically distinguished from each other.

Humans↗

The phylogenetic position of red algae revealed by multiple nuclear genes from mitochondria-containing eukaryotes and an alternative hypothesis on the origin of plastids.

Red algae are one of the main photosynthetic eukaryotic lineages and are characterized by primitive features, such as a lack of flagella and the presence of phycobiliproteins in the chloroplast. Recent molecular phylogenetic studies using nuclear gene sequences suggest two conflicting hypotheses (monophyly versus non-monophyly) regarding the relationships between red algae and green plants. Although kingdom-level phylogenetic analyses using multiple nuclear genes from a wide-range of eukaryotic lineages were very recently carried out, they used highly divergent gene sequences of the cryptomonad nucleomorph (as the red algal taxon) or incomplete red algal gene sequences. In addition, previous eukaryotic phylogenies based on nuclear genes generally included very distant archaebacterial sequences (designated as the outgroup) and/or amitochondrial organisms, which may carry unusual gene substitutions due to parasitism or the absence of mitochondria. Here, we carried out phylogenetic analyses of various lineages of mitochondria-containing eukaryotic organisms using nuclear multigene sequences, including the complete sequences from the primitive red alga Cyanidioschyzon merolae. Amino acid sequence data for two concatenated paralogous genes (alpha- and beta-tubulin) from mitochondria-containing organisms robustly resolved the basal position of the cellular slime molds, which were designated as the outgroup in our phylogenetic analyses. Phylogenetic analyses of 53 operational taxonomic units (OTUs) based on a 1525-amino-acid sequence of four concatenated nuclear genes (actin, elongation factor-1alpha, alpha-tubulin, and beta-tubulin) reliably resolved the phylogeny only in the maximum parsimonious (MP) analysis, which indicated the presence of two large robust monophyletic groups (Groups A and B) and the basal eukaryotic lineages (red algae, true slime molds, and amoebae). Group A corresponded to the Opisthokonta (Metazoa and Fungi), whereas Group B included various primary and secondary plastid-containing lineages (green plants, glaucophytes, euglenoids, heterokonts, and apicomplexans), Ciliophora, Kinetoplastida, and Heterolobosea. The red algae represented the sister lineage to Group B. Using 34 OTUs for which essentially the entire amino acid sequences of the four genes are known, MP, distance, quartet puzzling, and two types of maximum likelihood (ML) calculations all robustly resolved the monophyly of Group B, as well as the basal position of red algae within eukaryotic organisms. In addition, phylogenetic analyses of a concatenated 4639-amino-acid sequence for 12 nuclear genes (excluding the EF-2 gene) of 12 mitochondria-containing OTUs (including C. merolae) resolved a robust non-sister relationship between green plants and red algae within a robust monophyletic group composed of red algae and the eukaryotic organisms belonging to Group B. A new scenario for the origin and evolution of plastids is suggested, based on the basal phylogenetic position of the red algae within the large clade (Group B plus red algae). The primary plastid endosymbiosis likely occurred once in the common ancestor of this large clade, and the primary plastids were subsequently lost in the ancestor(s) of the Discicristata (euglenoids, Kinetoplastida, and Heterolobosea), Heterokontophyta, and Alveolata (apicomplexans and Ciliophora). In addition, a new concept of "Plantae" is proposed for phototrophic and nonphototrophic organisms belonging to Group B and red algae, on the basis of the common history of the primary plastid endosymbiosis. The Plantae include primary plastid-containing phototrophs and nonphototrophic eukaryotes that possibly contain genes of cyanobacterial origin acquired in the primary endosymbiosis.

Cell Nucleus↗

Afrotherian phylogeny as inferred from complete mitochondrial genomes.

Afrotheria is a huge assemblage of various mammals encompassing six orders that were once classified as distantly related groups. This superordinal relationship may have resulted from the break-up of Gondowanaland followed by the isolation of the African continent between 105 and 40 million years ago. Although the monophyly of Afrotheria is well supported by recent molecular studies, the interrelationships within afrotherian mammals remain unclarified. In this study, we determined the sequence of the complete mitochondrial genomes of hyrax, golden mole, and elephant shrew. These sequences were compared with those of other eutherians to analyze the phylogenetic relationships among afrotherians and, in particular, those among paenungulates. Our mitochondrial genome analysis supports the monophyly of Tethytheria.

Animals↗

Mitochondrial phylogeny of hedgehogs and monophyly of Eulipotyphla.

We sequenced the complete mitochondrial (mt) genomes of three insectivores: the long-eared hedgehog Hemiechinus auritus, the Japanese mole Mogera wogura, and the greater Japanese shrew-mole Urotrichus talpoides. These mtDNA data together with other previously sequenced mtDNAs were analyzed using a maximum likelihood method to infer their phylogenetic relationships among eutherians. Previous mitochondrial protein analyses used a simple model that did not consider site-heterogeneity, and Erinaceoidea (hedgehogs and moonrats) was placed at the basal eutherian position that is separated from Soricoidea (shrews) and Talpoidea (moles), suggesting the exclusion of the Erinaceoidea-Eulipotyphla tree. By including the new mtDNA sequences and introducing site-heterogeneity into the model, the Erinaceoidea-Eulipotyphla tree emerges as the best tree or as a tree with a log-likelihood score indistinguishable from that of the best tree. However, this conclusion depends on species sampling in Erinaceoidea, demonstrating the importance of both species sampling and use of an appropriate substitution model when inferring phylogenetic relationships.

Amino Acid Sequence↗

The status of the Japanese and East Asian bats of the genus Myotis (Vespertilionidae) based on mitochondrial sequences.

The genus Myotis includes the largest number of species in the family Vespertilionidae (Chiroptera), and its members are distributed throughout most of the world. To re-evaluate the phylogenetic position of East Asian Myotis species with respect to Myotis species worldwide, we analyzed mitochondrial gene sequences of NADH dehydrogenase subunit 1 and cytochrome b from 24 East Asian individuals as well as 42 vespertilionid bats determined previously. The results suggest that: (1) some individuals having the same species name in Europe and Japan do not form a monophyletic clade, indicating that some bat species exhibit morphological convergence, (2) Japanese Myotis mystacinus forms a sister relationship with Myotis brandtii (Palaearctic), and both species are included in the American clade implying that an ancestor of these species originated in North America, and (3) the Black whiskered bat, Myotis pruinosus, is endemic to Japan and forms sister relationships with Myotis yanbarensis and Myotis montivagus collected from Okinawa (Japan) and Selangor (Malaysia), respectively, implying that M. pruinosus originated from the south. The systematics of Japanese and East Asian Myotis bats were revisited by considering their phylogenetic relationships. Our study provides the first extensive phylogenetic hypothesis of the genus Myotis that includes East Asian and Japanese species.

Adaptation, Biological↗

The phylogenetic relationships of insectivores with special reference to the lesser hedgehog tenrec as inferred from the complete sequence of their mitochondrial genome.

The complete mitochondrial genome of a lesser hedgehog tenrec Echinops telfairi was determined in this study. It is an endemic African insectivore that is found specifically in Madagascar. The tenrec's back is covered with hedgehog-like spines. Unlike other spiny mammals, such as spiny mice, spiny rats, spiny dormice and porcupines, lesser hedgehog tenrecs look amazingly like true hedgehogs (Erinaceidae). However, they are distinguished morphologically from hedgehogs by the absence of a jugal bone. We determined the complete sequence of the mitochondrial genome of a lesser hedgehog tenrec and analyzed the results phylogenetically to determine the relationships between the tenrec and other insectivores (moles, shrews and hedgehogs), as well as the relationships between the tenrec and endemic African mammals, classified as Afrotheria, that have recently been shown by molecular analysis to be close relatives of the tenrec. Our data confirmed the afrotherian status of the tenrec, and no direct relation was recovered between the tenrec and the hedgehog. Comparing our data with those of others, we found that within-species variations in the mitochondrial DNA of lesser hedgehog tenrecs appear to be the largest recognized to date among mammals, apart from orangutans, which might be interesting from the view point of evolutionary history of tenrecs on Madagascar.

Animals↗

Topological incongruence between nuclear and chloroplast DNA trees suggesting hybridization in the urophyllum group of the genus Fagopyrum (Polygonaceae).

We performed phylogenetic analyses of Fagopyrum species in the urophyllum group based on nucleotide sequences of two nuclear genes, FLORICAULA/LEAFY (FLO/LFY) and AGAMOUS (AG), and three segments of chloroplast DNA (cpDNA), rbcL-accD, trnK intron, and trnC-rpoB spacer. The FLO/LFY and AG sequences turned out to be phylogenetically more informative at the intrageneric level than the cpDNA sequences. Congruence among these gene trees, inferred by a maximum-likelihood (ML) method, demonstrated that topologies were partially incongruent between the nuclear and chloroplast DNA phylogenies. The nuclear DNA sequence data supported a monophyletic relation of F. statice, F. gilesii, and F. jinshaense, whereas the former two species formed another monophyletic relation with the F. capillatum-F. gracilipes-F. gracilipedoides-F. rubifolium clade excluding F. jinshaense in the synthetic cpDNA phylogeny. In addition, two divergent sequences of FLO/LFY were found in F. rubifolium (tetraploid). One of these was sister to F. gracilipedoides and another was sister to F. statice, and a monophyletic relation of these two genes was rejected by a bootstrap analysis. These results suggest that hybridization may have occurred during diversification of Fagopyrum species in the urophyllum group, and that F. rubifolium is possibly allotetraploid species.

Arabidopsis Proteins↗

Time scale of eutherian evolution estimated without assuming a constant rate of molecular evolution.

Controversies over the molecular clock hypothesis were reviewed. Since it is evident that the molecular clock does not hold in an exact sense, accounting for evolution of the rate of molecular evolution is a prerequisite when estimating divergence times with molecular sequences. Recently proposed statistical methods that account for this rate variation are overviewed and one of these procedures is applied to the mitochondrial protein sequences and to the nuclear gene sequences from many mammalian species in order to estimate the time scale of eutherian evolution. This Bayesian method not only takes account of the variation of molecular evolutionary rate among lineages and among genes, but it also incorporates fossil evidence via constraints on node times. With denser taxonomic sampling and a more realistic model of molecular evolution, this Bayesian approach is expected to increase the accuracy of divergence time estimates.

Animals↗

Evolutionary analysis of Arabidopsis, cyanobacterial, and chloroplast genomes reveals plastid phylogeny and thousands of cyanobacterial genes in the nucleus.

Chloroplasts were once free-living cyanobacteria that became endosymbionts, but the genomes of contemporary plastids encode only approximately 5-10% as many genes as those of their free-living cousins, indicating that many genes were either lost from plastids or transferred to the nucleus during the course of plant evolution. Previous estimates have suggested that between 800 and perhaps as many as 2,000 genes in the Arabidopsis genome might come from cyanobacteria, but genome-wide phylogenetic surveys that could provide direct estimates of this number are lacking. We compared 24,990 proteins encoded in the Arabidopsis genome to the proteins from three cyanobacterial genomes, 16 other prokaryotic reference genomes, and yeast. Of 9,368 Arabidopsis proteins sufficiently conserved for primary sequence comparison, 866 detected homologues only among cyanobacteria and 834 other branched with cyanobacterial homologues in phylogenetic trees. Extrapolating from these conserved proteins to the whole genome, the data suggest that approximately 4,500 of Arabidopsis protein-coding genes ( approximately 18% of the total) were acquired from the cyanobacterial ancestor of plastids. These proteins encompass all functional classes, and the majority of them are targeted to cell compartments other than the chloroplast. Analysis of 15 sequenced chloroplast genomes revealed 117 nuclear-encoded proteins that are also still present in at least one chloroplast genome. A phylogeny of chloroplast genomes inferred from 41 proteins and 8,303 amino acids sites indicates that at least two independent secondary endosymbiotic events have occurred involving red algae and that amino acid composition bias in chloroplast proteins strongly affects plastid genome phylogeny.

Arabidopsis↗

Evolution of human Polyomavirus JC: implications for the population history of humans.

The polyomavirus JC virus (JCV), the etiological agent of progressive multifocal leukoencephalopathy, is ubiquitous in the human population, infecting children asymptomatically, then persisting in the kidney. The main mode of transmission of JCV is from parents to children through long-term cohabitation. Twelve JCV subtypes that occupy unique domains in Europe, Africa, and Asia have been identified. Here, we attempted to elucidate the evolutionary relationships among JCV strains worldwide using the whole-genome approach with which a highly reliable phylogeny of JCV strains can be reconstructed. Sixty-five complete JCV DNA sequences, derived from various geographical regions and belonging to 11 of the 12 known subtypes, were subjected to phylogenetic analysis using three independent methods: the neighbor-joining, maximum parsimony, and maximum likelihood methods. The trees obtained with these methods consistently indicated that ancestral JCVs were divided into three superclusters, designated as Types A, B, and C. A split in Type A generated two subtypes, EU-a and -b, mainly containing European and Mediterranean strains. The first split in Type B generated Af2 (the major African subtype). Subsequent splits in Type B generated B1-c (a minor European subtype) and all seven Asian subtypes (B1-a, -b, -d, B2, MY, CY, and SC). Type C generated a single subtype (Af1), consisting of strains derived from western Africa. While the present findings provided a basis on which to classify JCV into types or subtypes, they have several implications for the divergence and migration of human populations.

Base Sequence↗

JC virus strains indigenous to northeastern Siberians and Canadian Inuits are unique but evolutionally related to those distributed throughout Europe and Mediterranean areas.

Human polyomavirus JC virus (JCV) isolates around the world are classified into more than 10 geographically distinct genotypes (designated as subtypes). Evolutionary relationships among JCV subtypes were recently examined, and the following pattern of JCV evolution was indicated. The ancestral JCV first divided into three superclusters, designated Types A, B, and C. A split in Type A generated two subtypes, EU-a and -b, containing mainly European and Mediterranean isolates. The split in Type B generated Af 2 (the major African subtype), Bl-c (a minor European subtype), and various Asian subtypes. Type C generated a single subtype (Afl), consisting of isolates derived from western Africa. In this study, JCV isolates prevalent among northeastern Siberians and Canadian Inuits were evaluated in the context of the above-described pattern of JCV evolution. The Siberian/Arctic JCV isolates were classified as belonging mainly to Type A, based on the result of a preliminary phylogenetic analysis. We then examined, using the whole-genome approach, the phylogenetic relationships among worldwide Type A isolates. In neighbor-joining and maximum-likelihood analyses, Type A JCVs worldwide consistently diverged into three subtypes, EU-a, -b, and -c, with high bootstrap probabilities. EU-c was constructed only by northeastern Siberian isolates, derived mainly from Nanais living in the lower Amur River region, and was shown to have been generated by the first split in Type A. Most Siberian/Arctic isolates derived from Chukchis, Koryaks, and Canadian Inuits formed a distinct cluster within the EU-a subtype, with a high bootstrap probability. Based on the present findings, we discuss ancient human migrations, accompanied by Type A JCVs, across Asia and to Arctic areas of North America.

Adult↗

Intra- and interfamily relationships of Vespertilionidae inferred by various molecular markers including SINE insertion data.

The family Vespertilionidae comprises the largest number of species in the order Chiroptera, and its members are distributed over most of the world. We collected sequences of the mitochondrial NDI (NADH dehydrogenase subunit 1) gene from 38 species as well as 20 sequences of exon28 of the vWF (von Willebrand Factor) gene and analyzed phylogenetic relationships in Vespertilionidae using maximum-likelihood analyses and SINE (short interspersed elements) insertions. Our data strongly suggest the following: (1) Murininae and Myotis, each of which is classified into different subfamilies, are monophyletic; (2) the monophyly of Murininae, Myotis, Pipistrellini, and Plecotini is supported by our analyses of the NDI and nuclear vWF as well as data from SINE insertions, while Miniopterinae was not included in this group; and (3) Rhinolophoidea (microchiroptera) is separated from all the other microchiropteran species. Our study represents the most comprehensive phylogenetic model of Vespertilionidae to date.

Animals↗

A viral sampling design for testing the molecular clock and for estimating evolutionary rates and divergence times.

MOTIVATION: The high pace of viral sequence change means that variation in the times at which sequences are sampled can have a profound effect both on the ability to detect trends over time in evolutionary rates and on the power to reject the Molecular Clock Hypothesis (MCH). Trends in viral evolutionary rates are of particular interest because their detection may allow connections to be established between a patient's treatment or condition and the process of evolution. Variation in sequence isolation times also impacts the uncertainty associated with estimates of divergence times and evolutionary rates. Variation in isolation times can be intentionally adjusted to increase the power of hypothesis tests and to reduce the uncertainty of evolutionary parameter estimates, but this fact has received little previous attention. RESULTS: We provide approximations for the power to reject the MCH when the alternative is that rates change in a linear fashion over time and when the alternative is that rates differ randomly among branches. In addition, we approximate the standard deviation of estimated evolutionary rates and divergence times. We illustrate how these approximations can be exploited to determine which viral sample to sequence when samples representing different dates are available.

Computational Biology↗

A branch-and-bound algorithm for the inference of ancestral amino-acid sequences when the replacement rate varies among sites: Application to the evolution of five gene families.

MOTIVATION: We developed an algorithm to reconstruct ancestral sequences, taking into account the rate variation among sites of the protein sequences. Our algorithm maximizes the joint probability of the ancestral sequences, assuming that the rate is gamma distributed among sites. Our algorithm probably finds the global maximum. The use of 'joint' reconstruction is motivated by studies that use the sequences at all the internal nodes in a phylogenetic tree, such as, for instance, the inference of patterns of amino-acid replacement, or tracing the biochemical changes that occurred during the evolution of a given protein family. RESULTS: We give an algorithm that guarantees finding the global maximum. The efficient search method makes our method applicable to datasets with large number sequences. We analyze ancestral sequences of five gene families, exploring the effect of the amount of among-site-rate-variation, and the degree of sequence divergence on the resulting ancestral states. AVAILABILITY AND SUPPLEMENTARY INFORMATION: http://evolu3.ism.ac.jp/~tal/ CONTACT: tal@ism.ac.jp

Algorithms↗

Estimation of effective population size of HIV-1 within a host: a pseudomaximum-likelihood approach.

Using pseudomaximum-likelihood approaches to phylogenetic inference and coalescent theory, we develop a computationally tractable method of estimating effective population size from serially sampled viral data. We show that the variance of the maximum-likelihood estimator of effective population size depends on the serial sampling design only because internal node times on a coalescent genealogy can be better estimated with some designs than with others. Given the internal node times and the number of sequences sampled, the variance of the maximum-likelihood estimator is independent of the serial sampling design. We then estimate the effective size of the HIV-1 population within nine hosts. If we assume that the mutation rate is 2.5 x 10(-5) substitutions/generation and is the same in all patients, estimated generation lengths vary from 0.73 to 2.43 days/generation and the mean (1.47) is similar to the generation lengths estimated by other researchers. If we assume that generation length is 1.47 days and is the same in all patients, mutation rate estimates vary from 1.52 x 10(-5) to 5.02 x 10(-5). Our results indicate that effective viral population size and evolutionary rate per year are negatively correlated among HIV-1 patients.

Bayes Theorem↗