Bias of heritability estimates from twin data in presence of errors of zygosity determination

Simple heritability estimators of continuous as well as discrete traits from twin data are known to overestimate the degree of genetic determination of the measured traits for several reasons. Errors of zygosity determination will, however, underestimate the true heritability. The bias due to wrong assignment of dizygous twin pairs into monozygous type is evaluated here, and the results indicate that this negative bias has a compensatory effect on the estimate of the degree of genetic determination when other factors of similarity between twin pairs are taken into account. It is shown that when an estimate of zygosity error is available, the bias due to this factor can be evaluated quantitatively, and hence the adjustment for zygosity error can be incorporated in the estimation of the degree of genetic determination of a trait. Although this theory is explicitly developed here for twin studies, the general principle also applies for other types of errors of determining the degree of biological relationships for estimation of heritability, in which case this type of error may be more important than the simple zygosity error.     

Easy and rapid method of zygosity determination in transgenic mice by SYBR<Superscript>®</Superscript> Green real-time quantitative PCR with a simple data analysis

Establishment and maintenance of transgenic mouse strains require being able to distinguish homozygous from heterozygous animals. To date, the developed real-time quantitative PCR techniques are often complicated, time-consuming and expensive. Here, we propose a very easy and rapid method with a simple data analysis to determine zygosity in transgenic mice. We show that the real-time quantitative PCR using SYBR Green fluorescent dye can be applied to discriminate two-fold differences in copy numbers of the transgene. Our procedure has to fit only three simple requirements: (1) to design primers capable of detecting one Ct difference for two-fold differences in DNA amounts (2) to measure genomic DNA concentrations accurately and (3) to have a reference animal of known zygosity in each run. Then, if the Ct values for the control gene are similar in all samples, we are able to compare directly the Ct values for the transgene in every sample, and so, to deduce the zygosity status of each mouse relative to the reference animal. This method is really simple and reliable, and it may be valuable as a rapid screening tool for zygosity status in transgenic animals.     

Rapid zygosity determination in mice by SYBR Green real-time genomic PCR of a crude DNA solution

We examined whether crude DNA extracts prepared from gene-engineered mouse tissues are suitable as a template for zygosity determination by SYBR Green real-time genomic PCR. A crude DNA solution was prepared by brief incubation with lysis buffer containing ear, tail, or fetus of ROSA26 mouse, a gene-trapped strain carrying the β-galactosidase (β-gal) gene. Five serially diluted crude DNA samples (original, 2-, 4-, 8-, 16-diluted) were next prepared and then subjected to three-step (95°C, 60°C and 72°C) reactions of real-time PCR to detect the β-gal gene and the receptor-activity-modifying protein 3 (ramp3) gene (as an internal reference gene). The slopes of standard curves obtained from the real-time PCR indicated that amplification efficiency was approximately 99%, and the efficiencies of target and reference were almost equal. With this system, we next determined the zygosity of mice derived from mating heterozygous ROSA26 females and males, and found a sharp distinction in zygosity, wild-type, heterozygous and homozygous. Assessment of crude DNA samples from other gene-engineered mice including B6ZP3Cre-Tg, B6rAM-Tg, and Ramp2-gene-targeted strains revealed that our method was effective for determination of zygosity. The present method is more convenient and rapid than formerly published methods employing purified genomic DNA as a template. Our method will be particularly useful for experiments requiring rapid and accurate genotyping of gene-modified animals/fetuses.     

Cooperation and Competition as a Function of Zygosity in 7- to 9-Year-Old Twins

A study of 31 monozygotic (MZ) and 24 dizygotic (DZ) Singapore twin pairs (aged 7.6 to 9.7 years) is reported. MZ and DZ twins differed in cooperative and competitive behaviors measured by within-pair reactions to payoff structures designed to elicit simultaneous cooperation (SCO) or reciprocal altruism (RA) on a marble-pull task. Reciprocation entailed turn-taking in rewards. DZ twins showed greater competition than MZ twins when competing for marbles in the RA condition, as predicted. Unexpectedly, however, MZ twins were markedly more competitive than DZ twins under the SCO condition, when success on the task always rewarded both twins. The competition arose over which end of the apparatus was to be used on a given trial. This interaction between condition and zygosity could not be related to differences in parents’ reported treatment of their children or zygosity beliefs, nor did it appear to be related to differences in factors such as time spent together and shared activities. An explanation in terms of uncertain or unstable dominance in MZ twinships is suggested.     

A method for determining zygosity of transgenic zebrafish by TaqMan real-time PCR

When producing a genetically modified organism, intended genes are often integrated into a target genome by random insertions. Subsequently, it is often desirable to know the gene copy number of the transgenic organism and the zygosity of its offspring. Because of the random insertions, the estimation can be made only by quantitative measurement of the genes. Even though TaqMan real-time PCR has been used in gene expression analysis, it is routinely used to quantify differences larger than twofold or more than one PCR cycle. In this study, we employed TaqMan quantitative PCR to determine zygosity of transgenic fluorescent zebrafish in which a homozygote and a hemizygote differ by only twofold. We measured relative quantities of the transgene by taking the threshold cycle (Ct) of both the transgene and an internal control zebrafish genomic DNA. Using scatterplots and statistical inference, we demonstrated that homozygotes and hemizygotes could be differentiated unambiguously when multiple measurements were taken. We discuss the relationship between the repetitive measurements and TaqMan precision with a statistical model. The result illustrates that the method can be extended to some areas that require even higher precision such as determining the polyploidy of an organism.     

Integration site analysis in transgenic mice by thermal asymmetric interlaced (TAIL)-PCR: segregating multiple-integrant founder lines and determining zygosity

When transgenic mice are created by microinjection of DNA into the pronucleus, the sites of DNA integration into the mouse genome cannot be predicted. Most methods based on polymerase chain reaction (PCR) that have been used for determining the integration site of foreign DNA into a genome require specific reagents and/or complicated manipulations making routine use tedious. In this report we demonstrate the use of a PCR-based method-TAIL-PCR (Thermal Asymmetric Interlaced PCR) which relies on a series of PCR amplifications with gene specific and degenerate primers to reliably amplify the integration sites. By way of example, using this approach, three separate integration sites were found (on chromosomes 8, 15 and 17) in one transgenic founder. As the sites on chromosomes 8 and 15 failed to segregate in any subsequent progeny, whole chromosome paints were done to determine if translocations involving chromosomes 8 and 15 occurred at the time of transgene integration. Whole chromosome painting could not detect translocations, suggesting that the rearrangements likely involve only small stretches of chromosomes. Site-specific primers were used to identify the progeny carrying only one integration site; these mice were then used as sub-founders for subsequent breedings. Integration site specific primers were used to distinguish homozygous progeny from heterozygotes. TAIL-PCR thus provides an easy and reliable way to (1) identify multiple integration sites in transgenic founders, (2) select breeders with one integration site, and (3) determine zygosity in subsequent progeny. Use of this strategy may also be considered to map integration sites in situations of unexpected phenotype or embryonic lethality while creating new transgenic mice.     

Monthly trend and seasonal variation in twinning rate in Japan, 1975–1994

We examined birth records from Japanese statistics, 1975–1994, to investigate the seasonality of twin births. We could identify 198 924 pairs of twins (97.9% of all the registered twin records) and estimated the numbers of mono- and dizygotic twin pairs. The seasonal index of the twinning rate for each month was calculated by dividing the crude rate by the estimated trend value for the month. There were significant variations in the seasonal index for overall, dizygotic and monozygotic twinning rates. Peak months with values more than 3% higher than expected were July and October–December for dizygotic twins, and April and June for monozygotic twins; these seasonalities were statistically significant by analysis of variance and the patterns were similar in recent years, with a sharp increase in the total twinning rate. When observed year-by-year, however, there were years that did not show these typical seasonalities. It is suggested that the mechanisms for probable seasonal variations in twinning rates are different for dizygotic and monozygotic twin pregnancies, and that factors involved in these variations are not effective every year. Received: 2 September 1998 / Revised: 6 May 1999 / Accepted: 26 May 1999     

Use of real-time PCR for determining copy number and zygosity in transgenic plants

This review examines how real-time PCR can be used to determine copy number and zygosity in transgenic plants. Distinguishing between plants that harbor one and two copies of a transgene or are hemizygous and homozygous requires the ability to routinely distinguish twofold differences, a detection difference which approaches the resolution of PCR-based quantification methods. After explaining the basic principles, especially the threshold cycle (Ct value) as the basic measuring unit in real-time PCR, we introduce three quantitation methods currently in use. While the absolute and relative standard curve approaches are qualitative methods that distinguish high-copy from low-copy transformants, the comparative ( ) method with double-dye oligonucleotides (TaqMan probes) is able to detect twofold differences. In order to obtain reliable results, Ct values for an amplicon should be below 25 and the standard deviation below 0.3. Although real-time PCR can deliver exact copy number determinations, the procedure is not fail-safe. Therefore, real-time PCR should to be viewed as complementary to—rather than as a replacement of—other methods such as Southern analysis, but it is particularly useful as a preliminary screening tool for estimating copy numbers of a large number of transformants.     

A non-PCR-based Invader<Superscript>®</Superscript> assay quantitatively detects single-copy genes in complex plant genomes

An accurate determination of gene copy number is critical to the success of a molecular breeding program involving both transgenic and non-transgenic plants. In this paper, we have described the application of a non-PCR-based technology, Invader^®*, for determination of gene copy number and zygosity in plants. A biplex assay format detected both a target gene and an endogenous reference gene simultaneously from the genomic DNA. The ratio between the signals of the two genes in relation to known copy number standards of the same target gene allowed copy number determination. The linear range of the Invader assay was 1–4 copies per genome, but it can be accurate over a larger copy number range depending on the assay conditions. This technique was utilized for screening plants carrying low transgene copy numbers from a large number of events generated by plant transformation, and shown to produce results comparable to that of Southern blots. We have also utilized this technique to screen thousands of field-grown plants for zygosity determinations and obtained data that was over 98% accurate, thus proving that this assay can be used to improve the efficiency of a breeding program. Overall, the Invader assays proved to be reproducible, specific, applicable to any gene sequence and amenable to high-throughput screening.     

An improved method for determination of gene copy numbers in transgenic mice by serial dilution curves obtained by real-time quantitative PCR assay

Precise characterization of transgene insertion is necessary for phenotype interpretation of transgenic animals. To check for the presence of deletions, estimate the number of inserted transgene copies, and in addition, identify the zygosity of transgenic mice, gene copy numbers were determined by real-time quantitative PCR. Instead of correlating tested samples to a single relative standard curve, serial dilution curves were constructed for every mouse sample. A novel statistical approach was designed in which mice with the same copy number were characterized by the adjusted group mean and standard deviation common to the target sequence. This enabled us to characterize the variability of the obtained results, statistically compare different groups of mice and estimate precision and limits of the applied method.