An Approximate Model of Polygenic Inheritance

The finite polygenic model approximates polygenic inheritance by postulating that a quantitative trait is determined by n independent, additive loci. The 3(n) possible genotypes for each person in this model limit its applicability. CANNINGS, THOMPSON, and SKOLNICK suggested a simplified, nongenetic version of the model involving only 2n + 1 genotypes per person. This article shows that this hypergeometric polygenic model also approximates polygenic inheritance well. In particular, for noninbred pedigrees, trait means, variances, covariances, and marginal distributions match those of the ordinary finite polygenic model. Furthermore as n -> &, the trait values within a pedigree collectively tend toward multivariate normality. The implications of these results for likelihood evaluation under the polygenic threshold and mixed models of inheritance are discussed. Finally, a simple numerical example illustrates the application of the hypergeometric polygenic model to risk prediction under the polygenic threshold model.     

Bayesian Finite Markov Mixture Model for Temporal Multi‐Tissue Polygenic Patterns

Finite mixture models can provide the insights about behavioral patterns as a source of heterogeneity of the various dynamics of time course gene expression data by reducing the high dimensionality and making clear the major components of the underlying structure of the data in terms of the unobservable latent variables. The latent structure of the dynamic transition process of gene expression changes over time can be represented by Markov processes. This paper addresses key problems in the analysis of large gene expression data sets that describe systemic temporal response cascades and dynamic changes to therapeutic doses in multiple tissues, such as liver, skeletal muscle, and kidney from the same animals. Bayesian Finite Markov Mixture Model with a Dirichlet Prior is developed for the identifications of differentially expressed time related genes and dynamic clusters. Deviance information criterion is applied to determine the number of components for model comparisons and selections. The proposed Bayesian models are applied to multiple tissue polygenetic temporal gene expression data and compared to a Bayesian model‐based clustering method, named CAGED. Results show that our proposed Bayesian Finite Markov Mixture model can well capture the dynamic changes and patterns for irregular complex temporal data (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

A Voxel-based Formulation for Contact Finite Element Analysis

To date, voxel-based finite element models have not been feasible for contact problems, owing to the inherent stair-step boundary discontinuities. New preprocessing techniques are reported herein to mesh these boundaries smoothly, for purposes of contact stress analysis. Further, new techniques are reported to concentrate the mesh resolution automatically near the articular surface, thus reducing the problem size to levels compatible with executing nonlinear problems on contemporary engineering workstations. Close approximations to Hertzian analytical solutions were obtained for spherical and cylindrical geometries meshed in this manner, and an illustrative anatomical contact problem of the human hip joint is presented.     

水稻单株有效穗数主基因＋多基因混合遗传分析

选择单株有效穗数差异大的3个亲本CB1（15.3）、CB4（6.4）和CB7（11.8）,配制CB1×CB4和CB7×CB4组合,建立了相应的P_1、F_1、P_2、B_1、B_2、F_2群体,将其分为中、晚两个生产季节种植,考察了有效穗数性状.利用主基因＋多基因混合遗传模型理论的Akaike信息准则（AIC）在B_1、B_2、F_2代中鉴定影响数量性状的主基因存在与否,主基因存在时通过分离分析估计主基因和微效基因的遗传效应及所占总变异的分量.结果表明该性状在所有B_1、B_2、F_2中均符合2对加性-显性-上位性主基因＋加性-显性-上位性多基因的遗传模式,主基因遗传率为30.64%-72.26%,多基因遗传率为3.41%-28.20%,总基因遗传率为45.96%-87.29%;相同组合种植季别主基因遗传率及一阶参数对比表明,杂交亲本的选择及种植季别对该性状遗传率影响较小,h_a、h_b、j_（ab）、j_（ba）值均为负值表明显性效应和加性显性互作对该性状表达具有抑制作用.     

主基因-多基因混合遗传分析中的EM算法

大量试验数据和QTL作图结果表明：控制数量性状的基因中既有遗传效应较大的主基因,又有遗传效应较小的多基因,其分离世代表现出多峰性,即出现多个分布混合的特征．本文研究利用混合分布理论鉴定和分析主基因-多基因混合遗传模型的具体方法,推导了鉴定主基因存在和多基因存在的EM算法．以大豆开花期性状为例说明了该方法的应用,在所分析的两个杂交组合的F_2世代数据中均发现有主基因的存在、骨绿豆×泰兴黑豆杂交组合中主基因几乎不存在显性,骨绿豆×上海红芒早杂交组合中主基因（晚开花）表现出完全显性,并且有多基因存在.     

烤烟CMV抗性的主基因 多基因混合遗传模型分析

以高抗CMV的烤烟品种台烟8号为母本(P1),以高感CMV的烤烟品种NC82为父本(P2),在2个不同的时间环境下构建P1、P2、F1和F24个世代群体,在植株不同生长时期进行CMV病害鉴定。运用植物数量性状"主基因+多基因"混合遗传模型分析方法对该世代群体的CMV抗性进行联合分析。结果表明,在温室环境中,苗期和成株期鉴定CMV抗性遗传都符合E1模型,即由2对加性-显性-上位性主基因+加性-显性多基因混合控制,主基因遗传率分别是37.11%、57.76%;在大田环境中,苗期抗性鉴定符合加性-显性-上位性多基因模型(C0),多基因遗传率为26.86%,而成株期鉴定属于2对主基因+多基因模型(E2),主基因遗传率为36.57%。研究表明,由于植物抗性基因的表达具有时空性,台烟8号对CMV的抗性遗传在不同的时间和环境具有一定的差异;但随着植株的生长,抗性遗传趋于稳定,在成株期时,2个不同的环境均表现为2对主基因+多基因控制,所以对烤烟CMV抗性品种选育和改良要以主基因为主,同时注重环境的影响。     

Linkage Modification with Mixed Random Mating and Selfing: A Numerical Study

Although recombination cannot increase under conditions of random mating or complete selfing in regimes of constant selection, with mixed random mating and selfing, selection for increased recombination can occur. For some fitness regimes there may be selection for reduced recombination with both low and high degrees of selfing but selection for increased recombination with moderate degrees of selfing. With some fitness regimes there is a historical effect: depending on which equilibrium a population starts from, there may be selection for either increased or decreased recombination. In other cases the direction of selection may be determined by the present state of individuals within the population. If recombination is already fairly limited, there may be selection for further reduction. If recombination is already fairly frequent, there may be selection for increased recombination. For certain symmetric viability systems there may be an intermediate value of the recombination fraction between 0 and 0.5 toward which the population will evolve. Although it is not yet possible to classify precisely those fitness matrices that can exhibit selection for increased recombination, it does appear that selection for increased recombination can occur only if at least two of the double homozygotes are less fit than would be expected on the basis of a comparison of the fitnesses of the single and double heterozygotes on an additive scale.     

Inheritance of Allozyme Loci in Bombina: Second Linkage Group Established

Segregation and linkage relationship of nine allozyme loci, which are fixed for alternative alleles in the European fire-bellied toads, Bombina bombina and B. variegata,were studied using artificial F₁ hybrids to obtain backcross and F₂ progeny. Alleles coding for electromorphs at nine loci (Ldh-1, Mdh-1, Idh-1, Ck, Ak, Gpi, Aat-1, Np, and G6pd)showed Mendelian ratios. Two of the loci, Ak and G6pd, were found to be closely linked (2 cM apart); the other loci assorted independently.     

The Sampling Distribution of Linkage Disequilibrium under an Infinite Allele Model without Selection

The sampling distributions of several statistics that measure the association of alleles on gametes (linkage disequilibrium) are estimated under a two-locus neutral infinite allele model using an efficient Monte Carlo method. An often used approximation for the mean squared linkage disequilibrium is shown to be inaccurate unless the proper statistical conditioning is used. The joint distribution of linkage disequilibrium and the allele frequencies in the sample is studied. This estimated joint distribution is sufficient for obtaining an approximate maximum likelihood estimate of C = 4Nc, where N is the population size and c is the recombination rate. It has been suggested that observations of high linkage disequilibrium might be a good basis for rejecting a neutral model in favor of a model in which natural selection maintains genetic variation. It is found that a single sample of chromosomes, examined at two loci cannot provide sufficient information for such a test if C less than 10, because with C this small, very high levels of linkage disequilibrium are not unexpected under the neutral model. In samples of size 50, it is found that, even when C is as large as 50, the distribution of linkage disequilibrium conditional on the allele frequencies is substantially different from the distribution when there is no linkage between the loci. When conditioned on the number of alleles at each locus in the sample, all of the sample statistics examined are nearly independent of theta = 4N mu, where mu is the neutral mutation rate.     

A Three-Dimensional Finite Element Model for Biomechanical Analysis of the Hip

The objective of this study was to construct a three-dimensional (3D) finite element model of the hip. The images of the hip were obtained from Chinese visible human dataset. The hip model includes acetabular bone, cartilage, labrum, and bone. The cartilage of femoral head was constructed using the AutoCAD and Solidworks software. The hip model was imported into ABAQUS analysis system. The contact surface of the hip joint was meshed. To verify the model, the single leg peak force was loaded, and contact area of the cartilage and labrum of the hip and pressure distribution in these structures were observed. The constructed 3D hip model reflected the real hip anatomy. Further, this model reflected biomechanical behavior similar to previous studies. In conclusion, this 3D finite element hip model avoids the disadvantages of other construction methods, such as imprecision of cartilage construction and the absence of labrum. Further, it provides basic data critical for accurately modeling normal and abnormal loads, and the effects of abnormal loads on the hip.     

数量性状主基因＋多基因混合遗传分析中鉴定多基因存在的IECM算法

为了进行２对主基因＋多基因混合遗传分析中的主基因存在的鉴定和多基因存在的鉴定以及多世代的联合遗传分析的分布参数估计,在ＥＣＭ算法和剖分成分分布方差为主基因变异组分、多基因变异组分和误差变异组分三部分基础上,提出了计算简便的迭代ＥＣＭ算法,简称ＩＥＣＭ算法,以利用 Ｐ_１、Ｆ_１、Ｐ_２和 Ｆ_（２：３）家系世代鉴定多基因存在为例阐明该算法．它的 ＣＭ步包含迭代ＣＭ_１、迭代ＣＭ_２和迭代ＣＭ_３步,在固定其它参数的情况下分别求分布平均数、多基因方差组分和误差方差的极大似然估计．通过１１３８－２ｘ邳县天鹅蛋杂交组合的Ｐ_１、Ｐ_２、Ｆ_１和Ｆ_（２：３）家系群体研究了大豆豆秆黑潜蝇的遗传规律．结果表明,它受 １对主基因的控制并有多基因的修饰．     

普通丝瓜始雌花节位遗传分析

选用始雌花节位有差异的普通丝瓜品种配制‘五叶香丝瓜’ב短圆筒丝瓜’(L1×L2)和‘短圆筒丝瓜’ב蛇形丝瓜’(L2×L3)2套组合,通过调查P1、P2、F1、B1、B2和F2植株的始雌花节位,利用主基因 多基因混合遗传模型联合分离分析了始雌花节位遗传规律。结果显示:L1×L2始雌花节位遗传符合2对加性-显性-上位性主基因 加性-显性多基因遗传模型,L2×L3的遗传符合1对加性主基因 加性-显性多基因遗传模型;L1×L2组合的B1、B2和F2群体遗传率(主基因 多基因)分别为66.13%、51.29%和68.27%,L2×L3组合的B1、B2和F2群体遗传率(主基因 多基因)分别为82.02%、64.87%和65.62%;L1×L2组合B1、B2和F2群体的环境方差占总表型方差的比例分别是23.43%、48.69%和31.73%,L2×L3组合B1、B2和F2群体的环境方差占总表型方差的比例分别是34.27%、55.40%和34.38%。结果表明:普通丝瓜始雌花节位是由主基因和多基因控制的数量性状,早熟性(较低的始雌花节位)不太可能通过杂种优势来实现;始雌花节位遗传不稳定,易受环境因素的影响,但定向选择会有较好的效果。     

The Rotating Fourier''s Ring: An Alternative Model for Cell Kinetic Studies

A simple method of simulating cell kinetics experiments, suitable for use on small generally available computers and capable of any degree of accuracy without increase of store required, is described. No assumption is necessary as to cycle-time distribution; the computer program, after being adjusted to generate percentage labeled mitosis curves, will then, on being supplied with different data, generate the cycle-time distribution curve.     

Plant Growth Analysis: The Use of the Richards Function as an Alternative to Polynomial Exponentials

The derived quantities in plant growth analysis, obtained byfitting the Richards function on the one hand and polynomialexponential functions on the other hand, are compared, usingtwo sets of experimental data. Results show that, although thereis rarely a statistical difference between the quantities derivedfrom the two types of function, the time trends are often morebiologically meaningful when derived from Richards functionfittings. Further, use of the Richards function does not entaila problem of choice, as occurs in the use of polynomial exponentialswhen particular members of the family must be selected for givendata sets; on the other hand, the Richards function will notfit those few sets of growth data which show insufficient curvaturetowards an upper asymptote. It is recommended that, wheneverpossible, the Richards function be used in plant growth analysisinstead of polynomial exponentials. Triticum aestivum L., wheat, Helianthus annuus L., sunflower, growth analysis, Richards function     

陕北黄芥芥酸含量的主基因+多基因遗传分析

以吴旗黄芥×长安芥菜组合的6个世代P1、P2、F1、B1、B2和F2群体为材料,利用植物数量性状主基因+多基因模型的多世代联合分析方法研究了该组合芥酸含量的遗传特征.结果表明:吴旗黄芥×长安芥菜组合芥酸含量受2对加性-显性-上位性主基因+加性-显性-上位性多基因(E模型)控制.主基因效应中,加性效应大于显性效应,第一对主基因加性效应(da)和显性效应(ha)分别为-4.718 0和4.419 5;第二对主基因的加性效应(db)和显性效应(hb)分别-4.005 8和2.023 7;2对主基因对芥酸含量的贡献差异较大,第二对主基因加性和显性效应之和占第一对主基因加性和显性效应之和的65.98%;2对主基因间存在一定的互作效应(绝对值在0.338 7～3.694 1),其中第一对主基因显性×第二对主基因加性效应(jba)较大,为3.694 1.B1、B2和F2群体芥酸含量主基因遗传率分别为68.83%、44.76%和87.99%;多基因遗传率分别为20.29%、41.21%和0,F2代表现出较高的遗传力,可在早期世代对芥酸含量进行选择.