Optimal Wire Myography Normalization for the Rat Dorsal Penile, Internal Pudendal and Internal Iliac Arteries.

In functional arterial studies using wire myography, the determination of a vessel's standardized normalization factor (factor k) is an essential step to ensure optimal contraction and relaxation by the arteries when stimulated with their respective vasoactive agents and to obtain reproducible results. The optimal factor k for several arteries have been determined, however, the optimal initial tension and factor k for the arteries involved in erection remains unknown. Hence, in the present study we set out to determine the optimal factor k for the internal iliac artery, proximal and distal internal pudendal artery (IPA), and dorsal penile artery. After isolating, harvesting, and mounting the arteries from male Sprague-Dawley rats on a multi wire myograph, we tested arterial responsivity to high K+-stimulation when the factor k was set at 0.7, 0.8, 0.85, 0.9, 0.95, 1.0, 1.1, and 1.2 to determine the factor k setting that results in the greatest K+-induced active force production for each vessel type. The data showed the optimal factor k is 0.90-0.95 for the dorsal penile, distal internal pudendal and internal iliac arteries while it is 0.85-0.90 for proximal internal pudendal artery. These optimal values corresponded to initial passive tension settings of 1.10±0.16 - 1.46±0.23, 1.28±0.20 - 1.69±0.34, 1.03±0.27 - 1.33±0.31, and 1.33±0.31 - 1.77±0.43 mN/mm for the dorsal penile, distal IP, proximal IP, and internal iliac arteries, respectively.

Novel method for detection of reactive oxygen species in vivo in human skeletal muscle.

Excessive production of reactive oxygen species (ROS) are implicated in the pathogenesis of numerous disease states. However, direct measurement of in vivo ROS in humans has remained elusive due to limited access to appropriate tissue beds and the inherently short half-lives and high reactivity of ROS. Herein, we describe a novel technique by which to measure in vivo ROS in human skeletal muscle. Microdialysis probes were inserted into the vastus lateralis of eight healthy volunteers. Amplex Ultrared, a highly specific fluorogenic substrate for hydrogen peroxide (H(2)O(2)), and horseradish peroxidase (HRP), were perfused through microdialysis probes, and outflowing dialysate was collected and fluorescence was measured. Extracellular H(2)O(2) that crossed the microdialysis membrane was measured via fluorescence of the dialysate. Superoxide dismutase (SOD) was then added to the inflowing perfusion media to convert any superoxide crossing the microdialysis membrane to H(2)O(2) within the microdialysis probe. Fluorescence significantly increased (P=0.005) upon SOD addition. These data demonstrate the feasibility of measuring both in vivo H(2)O(2) and superoxide in the extracellular environment of human skeletal muscle, providing a technique with a potential application to a wide range of circulatory and metabolic studies of oxidative stress.

Serum hsCRP and visfatin are elevated and correlate to carotid arterial stiffness in spinal cord-injured subjects.

STUDY DESIGN: Cross-sectional comparison, control group. OBJECTIVES: To investigate the relationship between carotid arterial stiffness and circulating markers for cardiovascular disease (CVD) in spinal cord-injured (SCI) subjects compared with able-bodied (AB) individuals. SETTING: University Research Laboratory, University of Louisville. METHODS: SCI (n=14) and AB (n=13) subjects between 20-52 years of age were recruited to participate in the study. B-mode Doppler ultrasound was used to obtain carotid artery diameter measurements. Arterial stiffness was assessed via the stiffness index and distensibility coefficient. Markers of CVD risk were obtained by fasting blood draw. RESULTS: Carotid arterial stiffness index (P=0.061) and distensibility coefficient (P=0.370) were not different between the SCI and AB groups. The SCI group had higher high-sensitivity C-reactive protein (hsCRP) (P=0.046), triglycerides (P=0.017), leptin (P=0.040) and visfatin (P<0.001) compared with the control group. Visfatin (r=0.559, P=0.047), hsCRP (r=0.633, P=0.037), insulin (r=0.637, P=0.019) and HOMA (r=0.614, P=0.026) significantly correlated with carotid arterial stiffness index in the SCI group. CONCLUSION: This study demonstrated that SCI subjects are at a high cardiovascular risk as indicated by elevated hsCRP levels. Elevations in hsCRP and visfatin may contribute to accelerated atherogenic processes in the SCI population.

The German Mouse Clinic: a platform for systemic phenotype analysis of mouse models.

The German Mouse Clinic (GMC) is a large scale phenotyping center where mouse mutant lines are analyzed in a standardized and comprehensive way. The result is an almost complete picture of the phenotype of a mouse mutant line--a systemic view. At the GMC, expert scientists from various fields of mouse research work in close cooperation with clinicians side by side at one location. The phenotype screens comprise the following areas: allergy, behavior, clinical chemistry, cardiovascular analyses, dysmorphology, bone and cartilage, energy metabolism, eye and vision, host-pathogen interactions, immunology, lung function, molecular phenotyping, neurology, nociception, steroid metabolism, and pathology. The German Mouse Clinic is an open access platform that offers a collaboration-based phenotyping to the scientific community (www.mouseclinic.de). More than 80 mutant lines have been analyzed in a primary screen for 320 parameters, and for 95% of the mutant lines we have found new or additional phenotypes that were not associated with the mouse line before. Our data contributed to the association of mutant mouse lines to the corresponding human disease. In addition, the systemic phenotype analysis accounts for pleiotropic gene functions and refines previous phenotypic characterizations. This is an important basis for the analysis of underlying disease mechanisms. We are currently setting up a platform that will include environmental challenge tests to decipher genome-environmental interactions in the areas nutrition, exercise, air, stress and infection with different standardized experiments. This will help us to identify genetic predispositions as susceptibility factors for environmental influences.

A heterozygous c-Maf transactivation domain mutation causes congenital cataract and enhances target gene activation.

MAF, one of a family of large Maf bZIP transcription factors, is mutated in human developmental ocular disorders that include congenital cataract, microcornea, coloboma and anterior segment dysgenesis. Expressed early in the developing lens vesicle, it is central to regulation of lens crystallin gene expression. We report a semi-dominant mouse c-Maf mutation recovered after ENU mutatgenesis which results in the substitution, D90V, at a highly conserved residue within the N-terminal 35 amino-acid minimal transactivation domain (MTD). Unlike null and loss-of-function c-Maf mutations, which cause severe runting and renal abnormalities, the phenotype caused by the D90V mutation is isolated cataract. In reporter assays, D90V results in increased promoter activation, a situation similar to MTD mutations of NRL that also cause human disease. In contrast to wild-type protein, the c-Maf D90V mutant protein is not inhibited by protein kinase A-dependent pathways. The MTD of large Maf proteins has been shown to interact with the transcriptional co-activator p300 and we demonstrate that c-Maf D90V enhances p300 recruitment in a cell-type dependent manner. We observed the same for the pathogenic human NRL MTD mutation S50T, which suggests a common mechanism of action.

A 76-bp deletion in the Mip gene causes autosomal dominant cataract in Hfi mice.

Hfi is a dominant cataract mutation where heterozygotes show hydropic lens fibers and homozygotes show total lens opacity. The Hfi locus was mapped to the distal part of mouse chromosome 10 close to the major intrinsic protein (Mip), which is expressed only in cell membranes of lens fibers. Molecular analysis of Mip revealed a 76-bp deletion that resulted in exon 2 skipping in Mip mRNA. In Hfi/Hfi this deletion resulted in a complete absence of the wildtype Mip. In contrast, Hfi/+ animals had the same amount of wildtype Mip as +/+. Results from pulse-chase expression studies excluded hetero-oligomerization of wildtype and mutant Mip as a possible mechanism for cataract formation in the Hfi/+. We propose that the cataract phenotype in the Hfi heterozygote mutant is due to a detrimental gain of function by the mutant Mip resulting in either cytotoxicity or disruption in processing of other proteins important for the lens. Cataract formation in the Hfi/Hfi mouse is probably a combined result of both the complete loss of wildtype Mip and a gain of function of the mutant Mip.

Molecular characterization of Pax6(2Neu) through Pax6(10Neu): an extension of the Pax6 allelic series and the identification of two possible hypomorph alleles in the mouse Mus musculus.

Phenotype-based mutagenesis experiments will increase the mouse mutant resource, generating mutations at previously unmarked loci as well as extending the allelic series at known loci. Mapping, molecular characterization, and phenotypic analysis of nine independent Pax6 mutations of the mouse recovered in mutagenesis experiments is presented. Seven mutations result in premature termination of translation and all express phenotypes characteristic of null alleles, suggesting that Pax6 function requires all domains to be intact. Of major interest is the identification of two possible hypomorph mutations: Heterozygotes express less severe phenotypes and homozygotes develop rudimentary eyes and nasal processes and survive up to 36 hr after birth. Pax6(4Neu) results in an amino acid substitution within the third helix of the homeodomain. Three-dimensional modeling indicates that the amino acid substitution interrupts the homeodomain recognition alpha-helix, which is critical for DNA binding. Whereas cooperative dimer binding of the mutant homeodomain to a paired-class DNA target sequence was eliminated, weak monomer binding was observed. Thus, a residual function of the mutated homeodomain may explain the hypomorphic nature of the Pax6(4Neu) allele. Pax6(7Neu) is a base pair substitution in the Kozak sequence and results in a reduced level of Pax6 translation product. The Pax6(4Neu) and Pax6(7Neu) alleles may be very useful for gene-dosage studies.

A temperature-sensitive mutation of Crygs in the murine Opj cataract.

In Opj, an inherited cataract in mice, opacity is associated with a mutation in Crygs, the gene for gammaS-crystallin, the first mutation to be associated with this gene. A single base change causes replacement of Phe-9, a key hydrophobic residue in the core of the N-terminal domain, by serine. Despite this highly non-conservative change, mutant protein folds normally at low temperature. However, it exhibits a marked, concentration-dependent decrease in solubility, associated with loss of secondary structure, at close to physiological temperatures. This is reminiscent of processes thought to occur in human senile cataracts in which normal proteins become altered and aggregate. The Opj cataract is progressive and more severe in Opj/Opj than in Opj/+. Lens histology shows that whereas fiber cell morphology in Opj/+ mice is essentially normal, in Opj/Opj, cortical fiber cell morphology and the loss of maturing fiber cell nuclei are both severely disrupted from early stages. This may indicate a loss of function of gammaS-crystallin which would be consistent with ideas that members of the betagamma-crystallin superfamily may have roles associated with maintenance of cytoarchitecture.

Further genetic analysis of two autosomal dominant mouse eye defects, Ccw and Pax6(coop).

PURPOSE: The work forms part of a major project to study the genetics of mouse cataract mutants found during the course of mutagenesis experiments. The long-term aim is to find the underlying gene mutation in each cataract mutant. Here we report further studies of the mutant cataract and curly whiskers (Ccw), previously mapped to Chromosome 4, and also investigations of the corneal opacity (Coop) mutant, which is shown to involve a mutation in the Pax6 gene. METHODS: For Ccw, the methods included mapping relative to microsatellite markers and histological studies. For the Coop mutant, breeding methods were used to show that Coop was allelic with Pax6. The Pax6 coding region in the mutant was then sequenced. RESULTS: The Ccw locus was mapped to approximately position 45cM on the consensus map of Chr 4. Histologically, progressive degeneration of the lens was seen. In the Coop mutant, a base-pair change C->T was found at position 1033 in the Pax6 gene, which created a stop codon leading to premature termination of translation, and to a truncated Pax6 protein. CONCLUSIONS: The phenotype in Ccw/+ heterozygotes involves a new type of lens degeneration in the mouse. On the basis of the phenotype and the locus position, no candidate gene has yet been identified. The Pax6coop mutant differs in phenotype from known null alleles of Pax6, implying that it is a hypomorph.

PAX2 suppresses apoptosis in renal collecting duct cells.

PAX2 is a transcription factor belonging to the evolutionarily conserved paired box family and is required during development of the central nervous system and genitourinary axis. Mutations in the PAX2 gene cause a rare autosomal dominant renal-coloboma syndrome, characterized by optic nerve colobomas and renal hypoplasia. Recent analysis of a spontaneous PAX2 mutant mouse model (1Neu) revealed that the major cause of renal hypoplasia is reduced branching of the ureteric bud (UB) and fewer nephrons. We have observed that this abnormality is associated with a striking increase in the number of UB cells undergoing programmed cell death during nephrogenesis. To ascertain whether apoptosis is directly linked to the level of PAX2 expression, we have studied the role of PAX2 in cultured renal cells. We show that mIMCD-3 cells, a murine collecting duct cell line with high endogenous PAX2 expression, undergo apoptosis when transfected with anti-sense PAX2. In contrast, HEK293 cells expressing exogenous PAX2 are protected against apoptotic death induced by caspase-2. PAX2 has no effect on proliferation of embryonic kidney or in cultured kidney cells. Our observations imply a direct role for PAX2 in survival of ureteric bud cells.

Effects of ENU dosage on mouse strains.

The germline supermutagen, N-ethyl-N-nitrosourea (ENU), has a variety of effects on mice. ENU is a toxin and carcinogen as well as a mutagen, and strains differ in their susceptibility to its effects. Therefore, it is necessary to determine an appropriate mutagenic, non-toxic dose of ENU for strains that are to be used in experiments. In order to provide some guidance, we have compiled data from a number of laboratories that have exposed male mice from inbred and non-inbred strains or their F(1) hybrids to ENU. The results show that most F(1) hybrid animals tolerate ENU well, but that inbred strains of mice vary in their longevity and in their ability to recover fertility after treatment with ENU.

Saturation mutagenesis for dominant eye morphological defects in the mouse Mus musculus.

We have summarized our extensive series of mutagenesis experiments to isolate dominant mutations in the mouse that express eye morphological defects. Thirty-two experimental groups in which parental mice were exposed to chemical mutagens or irradiation and a historical control group of the laboratory are presented. The largest series of experiments included parental exposure to ethylnitrosourea or irradiation. A total of 203 dominant mutants were confirmed among 456,890 offspring screened, which represents one of the largest collections of mutations in the mouse affecting one organ following a systematic screen of offspring of mutagenized animals. The largest group of mutations (92) was recovered in offspring of parental mice exposed to ethylnitrosourea. The second largest group of mutations (62) was recovered in irradiation experiments. Fifty-six mutations recovered in ethylnitrosourea experiments have been mapped to 22 loci. The affected genes have been identified for a number of the recovered mutations including Cryga, Crygb, Cgyge, Pax6, Pax2, Mitf, Lim2, and Cx50. On the basis of our experiences, a number of considerations when undertaking such screens are discussed, including a) choice of mutagen, b) experimental design, and c) the criteria for such experiments to ensure that mutations at novel loci will be recovered.

Genomic, transcriptional and mutational analysis of the mouse microphthalmia locus.

Mouse microphthalmia transcription factor (Mitf) mutations affect the development of four cell types: melanocytes, mast cells, osteoclasts, and pigmented epithelial cells of the eye. The mutations are phenotypically diverse and can be arranged in an allelic series. In humans, MITF mutations cause Waardenburg syndrome type 2A (WS2A) and Tietz syndrome, autosomal dominant disorders resulting in deafness and hypopigmentation. Mitf mice thus represent an important model system for the study of human disease. Here we report the complete exon/intron structure of the mouse Mitf gene and show it to be similar to the human gene. We also found that the mouse gene is transcriptionally complex and is capable of generating at least 13 different Mitf isoforms. Some of these isoforms are missing important functional domains of the protein, suggesting that they might play an inhibitory role in Mitf function and signal transduction. In addition, we determined the molecular basis for six microphthalmia mutations. Two of the mutations are reported for the first time here (Mitf(mi-enu198) and Mitf(mi-x39)), while the others (Mitf(mi-ws), Mitf(mi-bws), Mitf(mi-ew), and Mitf(mi-di)) have been described but the molecular basis for the mutation not determined. When analyzed in terms of the genomic and transcriptional data presented here, it is apparent that these mutations result from RNA processing or transcriptional defects. Interestingly, three of the mutations (Mitf(mi-x39), Mitf(mi-bws), and Mitf(mi-ws)) produce proteins that are missing important functional domains of the protein identified in in vitro studies, further confirming a biological role for these domains in the whole animal.

A comparison of enzyme activity mutation frequencies in germ cells of mice (Mus musculus) and golden hamsters (Mesocricetus auratus) after exposure to 2 + 2 Gy gamma-irradiation.

The radiation-induced germ cell mutation rate has been investigated in two species of mammals. Mice and golden hamsters of both sexes were exposed to 2 + 2 Gy gamma-irradiation with a 24 h fractionation interval and mated to untreated partners. In mice, specific locus mutations were examined as positive controls and the obtained mutation rates (per locus and gamete x10(-5)) were 51.4, 10.1, 13.6 and 17.4 for irradiated post-spermatogonia, spermatogonia and 1-7 and >7 days post-treatment oocytes, respectively. Offspring of mice and golden hamsters were screened for activity alterations of 10 erythrocyte enzymes coded by at least 14 loci. The observed mutation rates per locus per gamete x10(-5) for treated post-spermatogonial stages, spermatogonia and oocytes 1-7 and >7 days post-treatment were 6.5, 1.5, 8.8 and 7.0, respectively, for mice and 16.7, 0, 7.6 and 0, respectively, for golden hamsters. There is a significant difference for mutation rates in mouse oocytes 1-7 days post-treatment compared with the control. No differences in the frequencies of mutations in the various germ cell stages could be observed between mice and golden hamsters. A critical assumption for the extrapolation of experimental mutagenesis studies to humans is that no species effects exist in sensitivity to mutation induction by irradiation. Our results do not contradict this assumption.

Primary renal hypoplasia in humans and mice with PAX2 mutations: evidence of increased apoptosis in fetal kidneys of Pax2(1Neu) +/- mutant mice.

PAX2 mutations cause renal-coloboma syndrome (RCS), a rare multi-system developmental abnormality involving optic nerve colobomas and renal abnormalities. End-stage renal failure is common in RCS, but the mechanism by which PAX2 mutations lead to renal failure is unknown. PAX2 is a member of a family of developmental genes containing a highly conserved 'paired box' DNA-binding domain, and encodes a transcription factor expressed primarily during fetal development in the central nervous system, eye, ear and urogenital tract. Presently, the role of PAX2 during kidney development is poorly understood. To gain insight into the cause of renal abnormalities in patients with PAX2 mutations, kidney anomalies were analyzed in patients with RCS, including a large Brazilian kindred in whom a new PAX2 mutation was identified. In a total of 29 patients, renal hypoplasia was the most common congenital renal abnormality. To determine the direct effects of PAX2 mutations on kidney development fetal kidneys of mice carrying a Pax2 (1Neu)mutation were examined. At E15, heterozygous mutant kidneys were approximately 60% of the size of wild-type littermates, and the number of nephrons was strikingly reduced. Heterozygous 1Neu mice showed increased apoptotic cell death during fetal kidney development, but the increased apoptosis was not associated with random stochastic inactivation of Pax2 expression in mutant kidneys; Pax2 was shown to be biallelically expressed during kidney development. These findings support the notion that heterozygous mutations of PAX2 are associated with increased apoptosis and reduced branching of the ureteric bud, due to reduced PAX2 dosage during a critical window in kidney development.

Mechanisms of mutation induction in germ cells of the mouse as assessed by the specific locus test.

Mouse germ cell specific locus mutagenesis data and a molecular characterization of mutant alleles have been reviewed to arrive at an understanding of the mechanism of mutation induction in mammals. (a) The spermatogenic stage specificity for the sensitivity to mutation induction by 20 chemical mutagens is considered. (b) The effects of a saturable repair process and its recovery over time are examined for the mutagenic efficiency of ethylnitrosourea. (c) The mutagenic events following methylnitrosourea and chlorambucil are shown to be mainly deletions. In contrast the mutations recovered after ethylnitrosourea treatment are almost exclusively base pair substitutions. (d) It is emphasized that to date very few specific locus experiments have been designed to test for mutagenic events outside the interval stem cell spermatogonia-mature spermatozoa. A specific locus mutation has recently been shown to be due to loss of heterozygosity via mitotic recombination in an early zygote stage and suggests a broader range of possible mechanisms of mutation when these stages are considered. (e) With the cloning of all 7 marker loci mutation analysis at the molecular level will allow a more direct assessment of the mutation process in future studies.

Three murine cataract mutants (Cat2) are defective in different gamma-crystallin genes.

A number of murine cataract mutations have been localized to chromosome 1 close to the gamma-crystallin gene cluster (Cryg) (Everett et al., 1994, Genomics 20: 429-434; Löster et al., 1994, Genomics 23: 240-242). Based on the size of the mapping or allelism tests they have not been shown to be genetically distinct and have been assigned to locus symbol Cat2. Here we assign three mutations to the respective gamma-crystallin gene. Using a systematic candidate gene approach to analyze the entire Cryg cluster, an A-->G transition was found in exon 2 of Cryga for the ENU-436 mutation and is designated Cryga1Neu. The mutant allele Crygbnop (formerly Cat2(nop)) is caused by a replacement of 11 bp by 4 bp in the third exon of Crygb, while a C-->G transversion in exon 3 of Cryge has been found for the Cryget (formerly Cat2(t)) mutation. For the mutation Cryga1Neu, an Asp-->Gly exchange is deduced, whereas the mutations Crygbnop and Cryget lead to the formation of in-frame stop codons and give rise to truncated proteins of 144 and 143 amino acids, respectively. The effects of the mutations upon gamma-crystallin structure are likely to be quite different. The Cryga1Neu mutation is expected to affect the link between Greek-key motifs 2 and 3, whereas both Crygbnop and Cryget mutations are supposed to truncate the fourth Greek-key motif. All three mutations are predicted to alter protein folding of the gamma-crystallins and result in lens cataract, but the phenotype for each is quite distinctive.

Identification of mouse crystallins in 2D protein patterns by sequencing and mass spectrometry. Application to cataract mutants.

The eye lens proteins of the mouse were separated into 1940 polypeptide spots by two-dimensional electrophoresis in large gels. All 16 crystallins ubiquitous in mammals were identified by protein sequencing and mass spectrometry except for (gamma)-F, which shows an almost identical sequence with (gamma)-E. Two crystallins, (beta)-A2 and (gamma)-S, were shown for the first time to occur in the mouse lens. An investigation of the murine cataract mutant Cat2(nop)((gamma)-B gene) demonstrated that a monogenic mutation might affect a broad spectrum of proteins.

Recommendations for statistical designs of in vivo mutagenicity tests with regard to subsequent statistical analysis.

A workshop was held on September 13 and 14, 1993, at the GSF, Neuherberg, Germany, to start a discussion of experimental design and statistical analysis issues for three in vivo mutagenicity test systems, the micronucleus test in mouse bone marrow/peripheral blood, the chromosomal aberration tests in mouse bone marrow/differentiating spermatogonia, and the mouse dominant lethal test. The discussion has now come to conclusions which we would like to make generally known. Rather than dwell upon specific statistical tests which could be used for data analysis, serious consideration was given to test design. However, the test design, its power of detecting a given increase of adverse effects and the test statistics are interrelated. Detailed analyses of historical negative control data led to important recommendations for each test system. Concerning the statistical sensitivity parameters, a type I error of 0.05 (one tailed), a type II error of 0.20 and a dose related increase of twice the background (negative control) frequencies were generally adopted. It was recommended that sufficient observations (cells, implants) be planned for each analysis unit (animal) so that at least one adverse outcome (micronucleus, aberrant cell, dead implant) would likely be observed. The treated animal was the smallest unit of analysis allowed. On the basis of these general consideration the sample size was determined for each of the three assays. A minimum of 2000 immature erythrocytes/animal should be scored for micronuclei from each of at least 4 animals in each comparison group in the micronucleus assays. A minimum of 200 cells should be scored for chromosomal aberrations from each of at least 5 animals in each comparison group in the aberration assays. In the dominant lethal test, a minimum of 400 implants (40-50 pregnant females) are required per dose group for each mating period. The analysis unit for the dominant lethal test would be the treated male unless the background frequency of dead implants (DI) is so low that multiple males would need to be integrated to meet the minimum observation of one adverse outcome (DI) per analysis unit. A three-step strategy of data analysis was proposed for the cytogenetic assays. Use of negative historical controls was allowed in certain circumstances for interpretation of results from micronucleus tests and chromosomal aberration tests.

The mutagenic activity of ethylnitrosourea at low doses in spermatogonia of the mouse as assessed by the specific-locus test.

Ethylnitrosourea is the most efficient chemical mutagen in spermatogonial stem cells of the mouse and its mutagenic activity has been intensively studied. The pertinent specific-locus mutation test results for a discussion of low dose-effect studies have been summarized and indicate: (1) A threshold dose response best characterizes the relationship between dose and mutation rate. (2) The reduced effectiveness of ethylnitrosourea in the low dose range is likely due to a saturable repair process. (3) The recovery of the saturable repair process as assessed in fractionated dose experiments is long (ca. 168 h). The dynamics of stem cell spermatogonia suggests a long time interval before the cell population passes through at least one cell division and this may be relevant to an interpretation of the fractionation effects. (4) There is a slight but important discrepancy between the predicted and observed mutagenic activity of ethylnitrosourea in the low dose range. This is interpreted to be due to the differences between a mathematical abstraction and the biological realities of the system being studied.