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Chemical depolarization-induced SR calcium release in triads isolated from rabbit skeletal muscle.

Excitation-Ca2+ release coupling properties in the heavy microsomal fraction of the rabbit skeletal muscle enriched in triads were investigated by following the same type of approach used for the studies of excitation-contraction coupling in the skinned fiber system. Incubation of the triads with Mg-ATP in a solution containing 150 mM K+, 15.0-37.2 mM Na+, 150-180 mM gluconate-, and 150-200 microM Ca2+ (priming solution) led to (a) the generation of a T-tubule membrane potential making the cytoplasmic side negative, as assessed by potential-dependent uptake of the potential probe [14C]SCN- by triads, and (b) active transport of Ca2+ into the SR moiety. One volume of the primed (viz., polarized and Ca(2+)-loaded) triads was mixed with nine volumes of depolarization solution according to Cl(-)-replacement [Donaldson, S.K.B. (1985) J. Gen. Physiol 86, 501-525; Stephenson, E. W. (1985) J. Gen. Physiol. 86, 813-832] and Na(4)-replacement [Lamb, G.D., & Stephenson, D.G. (1990) J. Physiol. 423, 495-517] protocols used for the induction of contraction in skinned fiber system. The ionic replacement procedure by either protocol produced a rapid release of Ca2+ from SR as determined by stopped-flow fluorometry using fluo-3 as a Ca2+ probe in the presence of BAPTA-calcium buffer. Both the rate constant and the magnitude of Ca2+ release increased with the degree of ionic replacement. The ionic replacement-dependent changes in the release kinetics showed a striking similarity to the voltage-dependent changes of the Ca2+ transient in the intact fiber system.(ABSTRACT TRUNCATED AT 250 WORDS)

Animals↗

Involvement of the Arg-Asp-His catalytic triad in enzymatic cleavage of the phosphodiester bond.

Phosphatidylinositol-specific phospholipase C (PI-PLC) catalyzes the cleavage of the P-O bond in phosphatidylinositol via intramolecular nucleophilic attack of the 2-hydroxyl group of inositol on the phosphorus atom. Our earlier stereochemical and site-directed mutagenesis studies indicated that this reaction proceeds by a mechanism similar to that of RNase A, and that the catalytic site of PI-PLC consists of three major components analogous to those observed in RNase A, the His32 general base, the His82 general acid, and Arg69 acting as a phosphate-activating residue. In addition, His32 is associated with Asp274 in forming a catalytic triad with inositol 2-hydroxyl, and His82 is associated with Asp33 in forming a catalytic diad. The focus of this work is to provide a global view of the mechanism, assess cooperation between various catalytic residues, and determine the origin of enzyme activation by the hydrophobic leaving group. To this end, we have investigated kinetic properties of Arg69, Asp33, and His82 mutants with phosphorothioate substrate analogues which feature leaving groups of varying hydrophobicity and pK(a). Our results indicate that interaction of the nonbridging pro-S oxygen atom of the phosphate group with Arg69 is strongly affected by Asp33, and to a smaller extent by His82. This result in conjunction with those obtained earlier can be rationalized in terms of a novel, dual-function triad comprised of Arg69, Asp33, and His82 residues. The function of this triad is to both activate the phosphate group toward the nucleophilic attack and to protonate the leaving group. In addition, Asp33 and His82 mutants displayed much smaller degrees of activation by the fatty acid-containing leaving group as compared to the wild-type (WT) enzyme, and the level of activation was significantly reduced for substrates featuring the leaving group with low pK(a) values. These results strongly suggest that the assembly of the above three residues into the fully catalytically competent triad is controlled by the hydrophobic interactions of the enzyme with the substrate leaving group.

Amino Acid Substitution↗

Electronic coupling effects on photoinduced electron transfer in carotene-porphyrin-fullerene triads detected by time-resolved EPR.

Photoinduced charge separation and recombination in a carotenoid-porphyrin-fullerene triad C-P-C60 (Bahr et al., 2000) have been followed by time-resolved electron paramagnetic resonance. The electron-transfer process has been characterized in a glass of 2-methyltetrahydrofuran and in the nematic phase of two uniaxial liquid crystals (E-7 and ZLI-1167). In all the different media, the molecular triad undergoes two-step photoinduced electron transfer, with the generation of a long-lived charge-separated state (C*+-P-C60*-), and charge recombination to the triplet state, localized in the carotene moiety, mimicking different aspects of the photosynthetic electron-transfer process. The magnetic interaction parameters have been evaluated by simulation of the spin-polarized radical pair spectrum. The weak exchange interaction parameter (J = +1.7 +/- 0.1 G) provides a direct measure of the dominant electronic coupling matrix element V between the C*+-P-C60*- radical pair state and the recombination triplet state 3C-P-C60. Comparison of the estimated values of V for this triad and a structurally related triad differing only in the porphyrin bridge (octaalkylporphyrin vs tetraarylporphyrin) explains in terms of an electronic coupling effect the approximately 6-fold variation of the recombination rate induced by the modification of the porphyrin bridge as derived by kinetic experiments (Bahr et al., 2000).

Algorithms↗

Porphyrinic dyads and triads assembled around iridium(III) bis-terpyridine: photoinduced electron transfer processes.

Multicomponent arrays based on a central iridium(III) bis-terpyridine complex (Ir) used as assembling metal and free-base, zinc(II) or gold(III) tetraaryl-porphyrins (PH(2), PZn, PAu) have been designed to generate intramolecular photoinduced charge separation. The rigid dyads PH(2)-Ir, PZn-Ir, PAu-Ir, and the rigid and linear triads PH(2)-Ir-PAu, PZn-Ir-PAu, as well as the individual components Ir, PH(2), PZn, PAu have been synthesized and characterized by various techniques including electrochemistry. Their photophysical properties either in acetonitrile or in dichloromethane and toluene have been determined by steady-state and time-resolved methods. In acetonitrile, excitation of the triad PH(2)-Ir-PAu leads to a charge separation with an efficiency of 0.5 and a resulting charge-separated (CS) state with a lifetime of 3.5 ns. A low-lying triplet localized on PH(2) and the presence of the heavy Ir(III) ion offer the CS state an alternative deactivation path through the triplet state. The behavior of the triad PZn-Ir-PAu in dichloromethane is rather different from that of PH(2)-Ir-PAu in acetonitrile since the primary electron transfer to yield PZn(+)()-Ir(-)-PAu is not followed by a secondary electron transfer. In this solvent, both unfavorable thermodynamic and electronic parameters contribute to the inefficiency of the second electron-transfer reaction. In contrast, in toluene solutions, the triad PZn-Ir-PAu attains a CS state with a unitary yield and a lifetime of 450 ns. These differences can be understood in terms of ground-state charge-transfer interactions as well as different stabilization of the intermediate and final CS states by solvent.

Electrons↗

Excited-state energy-transfer dynamics in self-assembled triads composed of two porphyrins and an intervening Bis(dipyrrinato)metal complex.

The synthesis and characterization of various triads composed of a linear array of two zinc porphyrins joined via an intervening bis(dipyrrinato)metal(II) complex are reported. The preparation exploits the facile complexation of dipyrrins with divalent metal ions to give bis(dipyrrinato)metal(II) complexes [abbreviated (dp)(2)M]. Copper(II) and palladium(II) chelates of dipyrrins (available by oxidation of dipyrromethanes) were prepared in 50-80% yield. A one-flask synthesis of bis(dipyrrinato)zinc(II) complexes was developed by oxidation of a dipyrromethane with DDQ or p-chloranil in the presence of Zn(OAc)(2).2H(2)O in THF ( approximately 80% yield). Three routes were developed for preparing porphyrin-dipyrrins: (1). Suzuki coupling of a boronate-substituted zinc porphyrin (ZnP) and bis[5-(4-iodophenyl)dipyrrinato]Pd(II) to give the (ZnP-dp)(2)Pd triad (50% yield), followed by selective demetalation of the (dp)(2)Pd unit by treatment with 1,4-dithiothreitol under neutral conditions (71% yield); (2). oxidation of a porphyrin-dipyrromethane with p-chloranil in the presence of Zn(OAc)(2).2H(2)O followed by chromatography on silica gel (71% yield); and (3). condensation of a dipyrrin-dipyrromethane and a dipyrromethane-dicarbinol under InCl(3) catalysis followed by oxidation with DDQ (10-16% yield). Four triads of form (ZnP-dp)(2)Zn were prepared in 83-97% yield by treatment of a porphyrin-dipyrrin with Zn(OAc)(2).2H(2)O at room temperature. Free base dipyrrins typically absorb at 430-440 nm, while the bis(dipyrrinato)metal complexes absorb at 460-490 nm. The fluorescence spectra/yields and excited-state lifetimes of the (ZnP-dp)(2)Zn triad in toluene show (1). efficient energy transfer from the bis(dipyrrinato)zinc(II) chromophore to the zinc porphyrins (98.5% yield), and (2). little or no quenching of the resulting excited zinc porphyrin relative to the isolated chromophore. Taken together, these results indicate that bis(dipyrrinato)zinc(II) complexes can serve as self-assembling linkers that further function as secondary light-collection elements in porphyrin-based light-harvesting arrays.

Journal Article↗

Drastic difference in lifetimes of the charge-separated state of the formanilide-anthraquinone dyad versus the ferrocene-formanilide-anthraquinone triad and their photoelectrochemical properties of the composite films with fullerene clusters.

A long-lived charge-separated (CS) state, which can be observed even at 900 mus after laser excitation, has been attained in the formanilide-anthraquinone dyad (FA-AQ) in dimethyl sulfoxide, whereas the CS lifetime is shortened significantly to 20 ps in the ferrocene-formanilide-anthraquinone triad (Fc-FA-AQ). Such a drastic decrease in the CS lifetime by the addition of a ferrocene moiety to the FA-AQ dyad is ascribed to a decrease in the driving force of back electron transfer and an increase in the reorganization energy of electron transfer despite the longer charge-separation distance. The FA-AQ dyad and the Fc-FA-AQ triad have been employed as components of photovoltaic cells, where composite molecular nanoclusters of the FA-AQ dyad or the Fc-FA-AQ triad with fullerene (C60) are assembled onto a SnO2 electrode using an electrophoretic method. The composite films of the Fc-FA-AQ triad exhibit 10 times smaller values of an incident photon-to-photocurrent efficiency (IPCE) as compared with those of the FA-AQ dyad in accordance with a drastic decrease of the CS lifetime by addition of a ferrocene moiety to the FA-AQ dyad.

Journal Article↗

Photoinduced electron transfer in double-bridged porphyrin-fullerene triads.

Electron and energy transfer reactions of porphyrin-porphyrin-fullerene triads (P2P1C) with controllable sandwich-like structures have been studied using spectroscopic and electrochemical methods. The stabile, stacked structure of the molecules was achieved applying a two-linker strategy developed previously for porphyrin-fullerene dyads. Different triad structures with altered linker positions, linker lengths, and center atoms of the porphyrin rings were studied. The final charge-separated (CS) state and the different transient states of the reactions have been identified and energies of the states estimated based on the experimental results. In particular, a complete CS state P2(+) P1C- was achieved in a zinc porphyrin-free-base porphyrin-fullerene triad (ZnP2t9P1C) in both polar (benzonitrile) and nonpolar (toluene) solvents. The lifetime of this state was longer living in the nonpolar solvent. An outstanding feature of the ZnP2t9P1C triad is the extremely fast formation of the final CS state, P2(+) P1C-. This state is formed after primary excitation of either zinc porphyrin or free-base porphyrin chromophores in less than 200 fs. Although the intermediate steps between the locally excited states and the final CS state were not time-resolved for this compound, the process is clearly multistep and the fastest ever observed for porphyrin-based compounds.

Journal Article↗

The use of mixture models to perform quantitative tests for linkage disequilibrium, maternal effects, and parent-of-origin effects with incomplete subject-parent triads.

The transmission disequilibrium test and related methods require complete triads of genotyped cases plus both parents to test for linkage disequilibrium in the presence of population stratification. Based on the work of Weinberg (1999ab) and Schaid and Li (1997) with dichotomous outcomes, we discuss how additional tests for maternal or parent-of-origin effects can be performed and incomplete subject-parent triads can be used in situations where the outcome is a quantitative variable. This is achieved using a finite mixture model where class membership is known for complete triads and unknown for incomplete triads. Simulations were performed assuming different genetic models and various amounts of missing parental genotypes. Results showed that the tests resulted in accurate Type I errors, recovered much of the loss in information caused by missing genotypes, and yielded unbiased parameter estimates. Extensions of the model to nuclear families, multiple loci, and multiple outcome variables are briefly discussed.

Alleles↗

Dissecting the catalytic triad of a serine protease.

Serine proteases are present in virtually all organisms and function both inside and outside the cell; they exist as two families, the 'trypsin-like' and the 'subtilisin-like', that have independently evolved a similar catalytic device characterized by the Ser, His, Asp triad, an oxyanion binding site, and possibly other determinants that stabilize the transition state (Fig. 1). For Bacillus amyloliquefaciens subtilisin, these functional elements impart a total rate enhancement of at least 10(9) to 10(10) times the non-enzymatic hydrolysis of amide bonds. We have examined the catalytic importance and interplay between residues within the catalytic triad by individual or multiple replacement with alanine(s), using site-directed mutagenesis of the cloned B. amyloliquefaciens subtilisin gene. Alanine substitutions were chosen to minimize unfavourable steric contacts and to avoid imposing new charge interactions or hydrogen bonds from the substituted side chains. In contrast to the effect of mutations in residues involved in substrate binding, the mutations in the catalytic triad greatly reduce the turnover number and cause only minor effects on the Michaelis constant. Kinetic analyses of the multiple mutants demonstrate that the residues within the triad interact synergistically to accelerate amide bond hydrolysis by a factor of approximately 2 X 10(6).

Amino Acid Sequence↗

Support for a three-dimensional structure predicting a Cys-Glu-Lys catalytic triad for Pseudomonas aeruginosa amidase comes from site-directed mutagenesis and mutations altering substrate specificity.

The aliphatic amidase from Pseudomonas aeruginosa belongs to the nitrilase superfamily, and Cys(166) is the nucleophile of the catalytic mechanism. A model of amidase was built by comparative modelling using the crystal structure of the worm nitrilase-fragile histidine triad fusion protein (NitFhit; Protein Data Bank accession number 1EMS) as a template. The amidase model predicted a catalytic triad (Cys-Glu-Lys) situated at the bottom of a pocket and identical with the presumptive catalytic triad of NitFhit. Three-dimensional models for other amidases belonging to the nitrilase superfamily also predicted Cys-Glu-Lys catalytic triads. Support for the structure for the P. aeruginosa amidase came from site-direct mutagenesis and from the locations of amino acid residues that altered substrate specificity or binding when mutated.

Amidohydrolases↗

Investigation of the catalytic triad of arylamine N-acetyltransferases: essential residues required for acetyl transfer to arylamines.

The NATs (arylamine N-acetyltransferases) are a well documented family of enzymes found in both prokaryotes and eukaryotes. NATs are responsible for the acetylation of a range of arylamine, arylhydrazine and hydrazine compounds. We present here an investigation into the catalytic triad of residues (Cys-His-Asp) and other structural features of NATs using a variety of methods, including site-directed mutagenesis, X-ray crystallography and bioinformatics analysis, in order to investigate whether each of the residues of the catalytic triad is essential for catalytic activity. The catalytic triad of residues, Cys-His-Asp, is a well defined motif present in several families of enzymes. We mutated each of the catalytic residues in turn to investigate the role they play in catalysis. We also mutated a key residue, Gly126, implicated in acetyl-CoA binding, to examine the effects on acetylation activity. In addition, we have solved the structure of a C70Q mutant of Mycobacterium smegmatis NAT to a resolution of 1.45 A (where 1 A=0.1 nm). This structure confirms that the mutated protein is correctly folded, and provides a structural model for an acetylated NAT intermediate. Our bioinformatics investigation analysed the extent of sequence conservation between all eukaryotic and prokaryotic NAT enzymes for which sequence data are available. This revealed several new sequences, not yet reported, of NAT paralogues. Together, these studies have provided insight into the fundamental core of NAT enzymes, and the regions where sequence differences account for the functional diversity of this family. We have confirmed that each of the three residues of the triad is essential for acetylation activity.

Amino Acid Substitution↗

Mitsugumin29, a novel synaptophysin family member from the triad junction in skeletal muscle.

In skeletal muscle, excitation-contraction (E-C) coupling requires the conversion of the depolarization signal of the invaginated surface membrane, namely the transverse (T-) tubule, to Ca2+ release from the sarcoplasmic reticulum (SR). Signal transduction occurs at the junctional complex between the T-tubule and SR, designated as the triad junction, which contains two components essential for E-C coupling, namely the dihydropyridine receptor as the T-tubular voltage sensor and the ryanodine receptor as the SR Ca2+-release channel. However, functional expression of the two receptors seemed to constitute neither the signal-transduction system nor the junction between the surface and intracellular membranes in cultured cells, suggesting that some as-yet-unidentified molecules participate in both the machinery. In addition, the molecular basis of the formation of the triad junction is totally unknown. It is therefore important to examine the components localized to the triad junction. Here we report the identification using monoclonal antibody and primary structure by cDNA cloning of mitsugumin29, a novel transmembrane protein from the triad junction in skeletal muscle. This protein is homologous in amino acid sequence and shares characteristic structural features with the members of the synaptophysin family. The subcellular distribution and protein structure suggest that mitsugumin29 is involved in communication between the T-tubular and junctional SR membranes.

Amino Acid Sequence↗

[The Currarino triad. An autosomal-dominant inherited complex of anorectal malformation, sacrococcygeal defect and presacral tumor. Observation of 9 further cases].

Nine cases of a syndrome are described, which is known as the "Currarino triad" and which belongs to the group of malformations in which there is a persistent neurenteric communication. The features of the triad consist of ano-rectal anomalies (particularly ano-rectal stenoses), a curved, but limited, sacro-coccygeal defect ("scimitar sacrum") and a presacral tumour, which may be an anterior sacral meningocoele, a teratoma, a cyst (dermoid or neurenteric a cyst (dermoid or neurenteric cyst) or a mixture of these. In at least 50% of cases, the triad is familial and autosomal dominant. Of our nine cases, seven were familial. A dangerous complication is meningitis due to infection of the cystic component, or fistula formation between the colon and spinal canal (one of our cases). Other complications are a fixed filum terminale ("tethered cord") and malformations of the urogenital tract. The risk of malignancy in a teratoma is low, but exists. When considering the indications for surgery, this must be kept in mind, as must the risk of infection, and damage to neural structures during operation. In all cases of early obstipation the sacrum should be x-rayed in order to exclude a Currarino triad. The finding of a sacral defect and a presacral mass makes it essential to obtain CT of the pelvis with contrast in the distal gut and in the meningeal sac. The same is true for screening of the family (including views of the sacrum).

Abnormalities, Multiple↗

Association of calcium channel alpha1S and beta1a subunits is required for the targeting of beta1a but not of alpha1S into skeletal muscle triads.

The skeletal muscle L-type Ca2+ channel is a complex of five subunits that is specifically localized in the triad. Its primary function is the rapid activation of Ca2+ release from cytoplasmic stores in a process called excitation-contraction coupling. To study the role of alpha1S-beta1a interactions in the incorporation of the functional channel complex into the triad, alpha1S and beta1a [or a beta1a-green fluorescent protein (GFP) fusion protein] were expressed alone and in combination in myotubes of the dysgenic cell line GLT. betaGFP expressed in dysgenic myotubes that lack the skeletal muscle alpha1S subunit was diffusely distributed in the cytoplasm. On coexpression with the alpha1S subunit betaGFP distribution became clustered and colocalized with alpha1S immunofluorescence. Based on the colocalization of betaGFP and alpha1S with the ryanodine receptor the clusters were identified as T-tubule/sarcoplasmic reticulum junctions. Expression of alpha1S with and without beta1a restored Ca2+ currents and depolarization-induced Ca2+ release. The translocation of betaGFP from the cytoplasm into the junctions failed when betaGFP was coexpressed with alpha1S mutants in which the beta interaction domain had been altered (alpha1S-Y366S) or deleted (alpha1S-Delta351-380). Although alpha1S-Y366S did not associate with betaGFP it was incorporated into the junctions, and it restored Ca2+ currents and depolarization-induced Ca2+ release. Thus, beta1a requires the association with the beta interaction domain in the I-II cytoplasmic loop of alpha1S for its own incorporation into triad junctions, but stable alpha1S-beta1a association is not necessary for the targeting of alpha1S into the triads or for its normal function in Ca2+ conductance and excitation-contraction coupling.

Animals↗

Conserved residues in the putative catalytic triad of human bile acid Coenzyme A:amino acid N-acyltransferase.

Human bile acid-CoA:amino acid N-acyltransferase (hBAT), an enzyme catalyzing the conjugation of bile acids with the amino acids glycine or taurine has significant sequence homology with dienelactone hydrolases and other alpha/beta hydrolases. These enzymes have a conserved catalytic triad that maps onto the mammalian BATs at residues Cys-235, Asp-328, and His-362 of the human sequence, albeit that the hydrolases contain a serine instead of a cysteine. In the present study, the function of the putative catalytic triad of hBAT was examined by chemical modification with the cysteine alkylating reagent N-ethylmaleimide (NEM) and by site-directed mutagenesis of the triad residues followed by enzymology studies of mutant and wild-type hBATs. Treatment with NEM caused inactivation of wild-type hBAT. However, preincubation of wild-type hBAT with the substrate cholyl-CoA before NEM treatment prevented loss of N-acyltransferase activity. Substitution of His-362 or Asp-328 with alanine results in inactivation of hBAT. Although substitution of Cys-235 with serine generated an hBAT mutant with lower N-acyltransferase activity, it substantially increased the bile acid-CoA thioesterase activity compared with wild type. In summary, data from this study support the existence of an essential catalytic triad within hBAT consisting of Cys-235, His-362, and Asp-328 with Cys-235 serving as the probable nucleophile and thus the site of covalent attachment of the bile acid molecule.

Acyl Coenzyme A↗

Two conserved cysteine triads in human Ero1alpha cooperate for efficient disulfide bond formation in the endoplasmic reticulum.

Human Ero1alpha is an endoplasmic reticulum (ER)-resident protein responsible for protein disulfide isomerase (PDI) oxidation. To clarify the molecular mechanisms underlying its function, we generated a panel of cysteine replacement mutants and analyzed their capability of: 1) complementing a temperature-sensitive yeast Ero1 mutant, 2) favoring oxidative folding in mammalian cells, 3) forming mixed disulfides with PDI and ERp44, and 4) adopting characteristic redox-dependent conformations. Our results reveal that two essential cysteine triads (Cys85-Cys94-Cys99 and Cys391-Cys394-Cys397) cooperate in electron transfer, with Cys94 likely forming mixed disulfides with PDI. Dominant negative phenotypes arise when critical residues within the triads are mutated (Cys394, Cys397, and to a lesser extent Cys99). Replacing the first cysteine in either triad (Cys85 or Cys391) generates mutants with weaker activity. In addition, mutating either Cys85 or Cys391, but not Cys397, reverts the dominant negative phenotype of the C394A mutant. These findings suggest that interactions between the two triads, dependent on Cys85 and Cys391, are important for Ero1alpha function, possibly stabilizing a platform for efficient PDI oxidation.

Amino Acid Sequence↗

Allowing for missing parents in genetic studies of case-parent triads.

In earlier work, my colleagues and I described a log-linear model for genetic data from triads composed of affected probands and their parents. This model allows detection of and discrimination between effects of an inherited haplotype versus effects of the maternal haplotype, which presumably would be mediated by prenatal factors. Like the transmission disequilibrium test (TDT), the likelihood-ratio test (LRT) based on this model is not sensitive to associations that are due to genetic admixture. When used as a method for testing for linkage disequilibrium, the LRT can be regarded as an alternative to the TDT. When one or both parents are missing, the resulting incomplete triad must be discarded to ensure validity of the TDT, thereby sacrificing information. By contrast, when the problem is set in a likelihood framework, the expectation-maximization algorithm allows the incomplete triads to contribute their information to the LRT without invalidation of the analysis. Simulations demonstrate that much of the lost statistical power can be recaptured by means of this missing-data technique. In fact, power is reasonably good even when no triad is complete-for example, when a study is designed to include only mothers of cases. Information from siblings also can be incorporated to further improve the statistical power when genetic data from parents or probands are missing.

Algorithms↗

Relative risk for genetic associations: the case-parent triad as a variant of case-cohort design.

The contribution of this paper is to conceptualize the case-parent triad within an epidemiological framework. We propose that the case-parent triad design is a variant of the case-cohort design. The affected offspring of case-parent triads come from a source cohort of all offspring of parents in a population. We first demonstrate that if the source cohort is restricted to offspring of a certain parental mating type then the relative risk in relation to genetic exposure can be estimated simply from the ratio of the number of exposed to the number of unexposed affected offspring. We then extend the logic to studies including offspring of all parental mating types; provided that the allele frequencies and possible parental mating types are specified, a valid relative risk can still be estimated. Compared to prior descriptions of the case-parent triad design, the proposed approach is readily understandable, epidemiologically meaningful and provides a relatively simple perspective for estimating valid measure of effect. Also, by allowing the potential sources of selection bias to be revealed more easily the design is made more accessible both conceptually and practically to epidemiologists.

Case-Control Studies↗