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1.
J Math Biol ; 64(7): 1225-51, 2012 Jun.
Article in English | MEDLINE | ID: mdl-21706222

ABSTRACT

The phylogenetic tree (PT) problem has been studied by a number of researchers as an application of the Steiner tree problem, a well-known network optimisation problem. Of all the methods developed for phylogenies the maximum parsimony (MP) method is a simple and commonly used method because it relies on directly observable changes in the input nucleotide or amino acid sequences. In this paper we show that the non-uniqueness of the evolutionary pathways in the MP method leads us to consider a new model of PTs. In this so-called probability representation model, for each site a node in a PT is modelled by a probability distribution of nucleotide or amino acid states, and hence the PT at a given site is a probability Steiner tree, i.e. a Steiner tree in a high-dimensional vector space. In spite of the generality of the probability representation model, in this paper we restrict our study to constructing probability phylogenetic trees (PPT) using the parsimony criterion, as well as discussing and comparing our approach with the classical MP method. We show that for a given input set although the optimal topology as well as the total tree length of the PPT is the same as the PT constructed by the classical MP method, the inferred ancestral states and branch lengths are different and the results given by our method provide a plausible alternative to the classical ones.


Subject(s)
Models, Statistical , Phylogeny , Amino Acid Sequence , Animals , Base Sequence , Evolution, Molecular , Models, Genetic , Molecular Sequence Data , Probability
2.
J Comput Biol ; 18(1): 67-80, 2011 Jan.
Article in English | MEDLINE | ID: mdl-20624099

ABSTRACT

The problem of inferring phylogenies (phylogenetic trees) is one of the main problems in computational biology. There are three main methods for inferring phylogenies-Maximum Parsimony (MP), Distance Matrix (DM) and Maximum Likelihood (ML), of which the MP method is the most well-studied and popular method. In the MP method the optimization criterion is the number of substitutions of the nucleotides computed by the differences in the investigated nucleotide sequences. However, the MP method is often criticized as it only counts the substitutions observable at the current time and all the unobservable substitutions that really occur in the evolutionary history are omitted. In order to take into account the unobservable substitutions, some substitution models have been established and they are now widely used in the DM and ML methods but these substitution models cannot be used within the classical MP method. Recently the authors proposed a probability representation model for phylogenetic trees and the reconstructed trees in this model are called probability phylogenetic trees. One of the advantages of the probability representation model is that it can include a substitution model to infer phylogenetic trees based on the MP principle. In this paper we explain how to use a substitution model in the reconstruction of probability phylogenetic trees and show the advantage of this approach with examples.


Subject(s)
Models, Statistical , Phylogeny , Algorithms , Animals , Base Sequence , Humans , Molecular Sequence Data , Probability
3.
Theor Appl Genet ; 112(7): 1258-70, 2006 May.
Article in English | MEDLINE | ID: mdl-16477428

ABSTRACT

Grain length in rice plays an important role in determining rice appearance, milling, cooking and eating quality. In this study, the genetic basis of grain length was dissected into six main-effect quantitative trait loci (QTLs) and twelve pairs of epistatic QTLs. The stability of these QTLs was evaluated in four environments using an F7 recombinant inbred line (RIL) population derived from the cross between a Japonica variety, Asominori, and an Indica variety, IR24. Moreover, chromosome segment substitution lines (CSSLs) harboring each of the six main-effect QTLs were used to evaluate gene action of QTLs across eight environments. A major QTL denoted as qGL-3a, was found to express stably not only in the isogenic background of Asominori but also in the recombinant background of Asominori and IR24 under multiple environments. The IR24 allele at qGL-3a has a positive effect on grain length. Based on the test of advanced backcross progenies, qGL-3a was dissected as a single Mendelian factor, i.e., long rice grain was controlled by a recessive gene gl-3. High-resolution genetic and physical maps were further constructed for fine mapping gl-3 by using 11 simple sequence repeat (SSR) markers designed using sequence information from seven BAC/PAC clones and a BC4F2 population consisting of 2,068 individuals. Consequently, the gl-3 gene was narrowed down to a candidate genomic region of 87.5 kb long defined by SSR markers RMw357 and RMw353 on chromosome 3, which provides a basis for map-based cloning of this gene and for marker-aided QTL pyramiding in rice quality breeding.


Subject(s)
Chromosomes, Plant , Edible Grain/genetics , Oryza/genetics , Physical Chromosome Mapping , Quantitative Trait Loci , Alleles , Crosses, Genetic , DNA, Plant , Environment , Epistasis, Genetic , Genes, Plant , Genetic Markers , Genetics, Population , Genome, Plant , Microsatellite Repeats , Recombination, Genetic
4.
Theor Appl Genet ; 110(7): 1334-46, 2005 May.
Article in English | MEDLINE | ID: mdl-15809851

ABSTRACT

Rice appearance quality, including traits specifying grain dimension and endosperm chalkiness, represents a major problem in many rice-producing areas of the world. In this study, the genetic basis of six appearance quality traits of milled rice was dissected into quantitative trait loci (QTL) main effects, and the stability of these QTLs was assessed in a population of 66 chromosome segment substitution lines (CSSLs) across eight environments. The CSSLs showed transgressive segregation for many of the traits, and significant correlations were detected among most of the traits. Twenty-two QTLs were identified on eight chromosomes, and numerous QTLs affecting related traits were mapped in the same regions, probably reflecting pleiotropic effects. Nine QTLs, namely qGL-1,qGL-3, qGW-5,qLWR-3, qLWR-5,qPGWC-8, qPGWC-9, qACE-8, and qDEC-8, were consistently detected across the eight environments. The additive main effect and multiplicative interaction (AMMI) analysis showed that genotype (G) x environment (E) interaction was significant for all six traits, with the first three iPCA terms accounting for over 80% of the G x E variance. Both D(I) values and the iPCA1-iPCA2 biplots showed that the CSSLs harboring the nine QTL alleles were more stable than those carrying any of the additional 13 QTL alleles, thereby confirming their environmental stability and pointing to their appropriateness as targets for marker-assisted selection for high-quality rice varieties.


Subject(s)
Chromosome Mapping , Environment , Oryza/genetics , Phenotype , Quantitative Trait Loci , Seeds/physiology , Analysis of Variance , Breeding/methods , China , Models, Genetic , Oryza/physiology , Seeds/genetics
5.
Zhongguo Yi Liao Qi Xie Za Zhi ; 25(4): 200-3, 2001 Jul.
Article in Chinese | MEDLINE | ID: mdl-12583216

ABSTRACT

In this paper, we introduce the technique used to obtain the surface diaphragmatic EMG and monitor respiratory activity. The signals are picked up from the ECG electrodes. By using an ECG masking system based on a digital processor, the dominant effect of the ECG (that is R-wave, P-wave and T-wave) was removed. Initial clinical measurements indicate this EMG method is more direct and effective than others for monitoring respiratory activity. It is hoped that this method can be used to monitor the development of respiratory function.


Subject(s)
Electromyography/methods , Respiratory Muscles/physiology , Signal Processing, Computer-Assisted , Analog-Digital Conversion , Diaphragm/physiology , Electrocardiography , Humans , Infant , Software
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