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Application of a calibration method provides more realistic results for a finite element model of a lumbar spinal segment.

BACKGROUND: An important step in finite element modeling is the process of validation to derive clinical relevant data. It can be assumed that defect states of a finite element model, which have not been validated before, may predict wrong results. The purpose of this study was to show the differences in accuracy between a calibrated and a non-calibrated finite element model of a lumbar spinal segment for different clinical defects. METHODS: For this study, two geometrically identical finite element models were used. An in vitro experiment was designed, deriving data for the calibration. Frequently used material properties were obtained from the literature and transferred into the non-calibrated model. Both models were validated on three clinical defects: bilateral hemifacetectomy, nucleotomy and interspinous defects, whereas in vitro range of motion data served as control points. Predictability and accuracy of the calibrated and non-calibrated finite element model were evaluated and compared. FINDINGS: Both finite element models could mimic the intact situation with a good agreement. In the defects, the calibrated model predicted motion behavior with excellent agreement, whereas the non-calibrated model diverged greatly. INTERPRETATION: Investigating the biomechanical performance of implants and load distribution of different spinal structures by numerical analysis requires not only good agreement with the intact segment, but also with the defect states, which are initiated prior to implant insertion. Because of more realistic results the calibration method may be recommended, however, it is more time consuming.

Finite Element Analysis↗

Contactless magnetocardiographic study of ventricular repolarization in intact Wistar rats: evidence of gender-related differences.

INTRODUCTION: Magnetocardiographic (MCG) mapping is increasingly used for the non-invasive study of coronary artery disease (CAD), cardiomyopathy (CMP) and arrhythmias. MCG study of small animals with ischemia or CMP would provide useful experimental models for the interpretation of abnormal human patterns. The aim of this study was to assess the range of normality of MCG ventricular repolarization parameters, in intact adult rats. METHODS AND RESULTS: 10 adult Wistar rats (weight 250 - 350 grams) were investigated with a 36-channel MCG mapping instrumentation (sensitivity is 20 fT/ radical Hz, at 1 Hz), designed for clinical recordings in unshielded hospital laboratories. To assess ventricular repolarization, MCG Q-T(peak), Q-T(end), J-T(peak), J-T(end), T(peak)-T(end) intervals were measured. MCG imaging was obtained by automatic calculation of isofield contour maps, and with inverse source localization based on the Equivalent Current Dipole and Effective Magnetic Dipole models, in a semi-infinite space with homogeneous conductance. Magnetic field (MF) orientation, dynamics and stability during the J-T(end) segment were also calculated. After averaging 300 s of continuous MCG recording, the S/N ratio was good enough for reproducible reconstruction of both atrial and ventricular magnetic maps and for three-dimensional localization of the underlying cardiac generators. Clear gender-related differences in ventricular repolarization duration were found, evidenced by significantly longer Q-T(end), J-T(end) and T(peak)-T(end) intervals in females. The differences in MF orientation, and stability during the J-T(end) segment were not significant. For J-T(peak) MF dynamics, only the ratio between the strengths of the positive and negative poles was significantly lower in the female group ( p < 0.05). CONCLUSIONS: Contactless MCG recording is a novel approach, which simplifies non-invasive mapping in small animals. In normal rats, gender-related differences of ventricular repolarization parameters equivalent to those reported in previous ECG studies were demonstrated.

Animals↗

Separating the contributions to 15N transverse relaxation in a fibronectin type III domain.

In proteins, dynamic mobility is an important feature of structure, stability, and biomolecular recognition. Uniquely sensitive to motion throughout the milli- to picosecond range, rates of transverse relaxation, R2, are commonly obtained for the characterization of chemical exchange, and the construction of motional models that attempt to separate overall and internal mobility. We have performed an in-depth study of transverse relaxation rates of backbone 15N nuclei in TNfn3(1-90), the third fibronectin type III domain from human tenascin. By combining the results of spin-echo (CPMG) and off-resonance T1 rho experiments, we present R2 rates at effective field strengths of 2 to 40 krad/s, obtaining a full spectrum of 16 independent R2 data points for most residues. Collecting such a large number of replicate measurements provides insight into intrinsic uncertainties. The median standard deviation in R2 for non-exchanging residues is 0.31, indicating that isolated measurements may not be sufficiently accurate for a precise interpretation of motional models. Chemical exchange events on a timescale of 570 microseconds were observed in a cluster of residues at the C terminus. Rates of exchange for five other residues were faster than the sampled range of frequencies and could not be determined. Averaged 'exchange free' transverse relaxation rates, R2(0), were used to calculate the diffusion tensor for rotational motion. Despite a highly asymmetric moment of inertia, the narrow angular dispersion of N-H vectors within the beta sandwich proves insufficient to define deviations from isotropic rotation. Loop residues provide exclusive evidence for axially symmetric diffusion (Dpar/Dper = 1.55).

Diffusion↗

The impact of in vitro binding on in vitro-in vivo extrapolations, projections of metabolic clearance and clinical drug-drug interactions.

This review provides a vista of the current opportunities and remaining challenges in the area of in vitro-in vivo extrapolation, with particular emphasis on drug binding terms in predictive models, which has been the source of much controversy. Although the importance of fu(inc) (fraction unbound in in vitro incubations) has been acknowledged for decades, it is not always applied in practice. This is somewhat disappointing, since although it may be onerous to measure this term for large numbers of compounds, algorithms to estimate the term from logD(7.4) or logP have been detailed in the literature. These are sufficiently robust to negate routine measurement in early drug discovery. Several groups have recently established convincing relationships between unbound in vivo and in vitro metabolic intrinsic clearance (CL(int)). In the authors' laboratory, correlations of this type have been constructed for rat, dog and Man. The use and interpretation of these models within a drug discovery setting is discussed. The quantitative prediction of drug-drug interactions from in vitro cytochrome P450 (CYP) inhibition data remains a challenge. Although extensive literature databases are at last emerging, apparent ad hoc use of terms for in vivo inhibitor concentrations and only occasional consideration of fu(inc) may only have confused matters. The effect of accounting for drug binding on the accuracy of predictions is reviewed. Other themes including the impact of fu(inc) on relative activity factors (RAFs) and how in vitro data quality and inter-laboratory differences can confound quantitative human pharmacokinetic predictions are also developed.

Animals↗

The computation of saturable and linear components of intestinal and other transport kinetics.

1. Published data for absorption kinetics have been fitted by non-linear regression to (i) a single Michaelis-Menten function, (ii) a Michaelis-Menten function plus a linear term and (iii) a sum of two Michaelis-Menten functions. A series of criteria have been drawn up to establish the goodness of fit in each case. 2. In 17 out of 35 cases the Michaelis-Menten function was the "best fit". In nine cases the "best-fit" model also included a linear term, but never was the sum of two Michaelis-Menten functions accepted to be the "best-fit" model. 3. Linearity of a Lineweaver-Burk plot was of unreliable diagnostic value in assessing goodness of fit. 4. Since the fit of a Michaelis-Menten function was often poor, simulated data sets with error were used to study the influence of experimental design etc. on Michaelis-Menten parameter estimation. 5. Precision of estimation of Km is increased by increasing the number of data points, reducing their variance, increasing the data range and by straddling Km in the observations. For a given constant number of observations there is no advantage in using replicate observations at few concentrations or single values at relatively many concentrations, or in using single values rather than means. 6. The caution necessary in interpretation of kinetic models is emphasized.

Animals↗

Micromechanics of wastewater sludge floc: force-deformation relationship at cyclic freezing and thawing.

This study examined shape changes in two typical wastewater flocs subjected to cyclic freezing and thawing and the associated force exerted by the ice front. While freezing, the engulfing ice front gradually pulled the floc apart. Subsequent thawing only partially restored the floc's shape. By the Maxwell model, used to interpret gross shape deformations, both flocs were visco-elastic objects exhibiting time-varying rheological characteristics which were more viscous than elastic. Detailed observations of floc 1 deformation demonstrated a two-stage force-displacement relationship. Following 1 cycle of freezing and thawing, the interior structure of the floc deteriorated and the force required to elongating a unit length of floc decreased by 60%. The original floc 2 had a dense "core" and loose "tail"; the core was more resistant to deformation under normal stress than the loose tail. Although both flocs had similar shapes and sizes and were acquired from the same activated sludge stream at a wastewater treatment plant, their rheological behaviors differed substantially. A comprehensive theoretical model for freezing and thawing processes should incorporate these rheological characteristics as they corresponded to observed structural changes and reduction in bound water content in sludge following a cyclic treatment of freezing and thawing.

Journal Article↗

Disaggregate model of highway accident occurrence using survival theory.

The analysis of discrete accident data and aggregate exposure data frequently necessitates compromises that can obscure the relationship between accident occurrence and potential causal risk components. One way to overcome these difficulties is to develop a model of accident occurrence that includes accident and exposure data at a mathematically consistent disaggregate level. This paper describes the conceptual and mathematical development of such a model using principals of survival theory. The model predicts the probability of being involved in an accident at time t given that a vehicle has survived until that time. Several alternative functional forms are discussed including additive, proportional hazards and accelerated failure time models. Model estimation is discussed for the case in which both accident and nonaccident trips are included and for the case with only accident data. As formulated, the model has the distinct advantage of being able to consider accident and exposure data at a disaggregate level in an entirely consistent analytic framework. A conditional accident analysis is undertaken using truck accident data obtained from a major national carrier in the United States. Model results are interpretable and generally reasonable. Of particular interest is that segmenting accidents in several categories yields very different sets of significant parameters. Driver service hours seemed to most strongly effect accident risk: regularly scheduled drivers who take frequent trips are likely to have a reduced risk of an accident, particularly if they have a longer (greater than eight) number of hours off-duty just prior to a trip.

Accidents, Traffic↗

A kinetic study on the degradation of erythromycin A in aqueous solution.

The pH is a critical factor determining the rate of the degradation of erythromycin A in aqueous solutions. However, the kinetics of the acid- and base-catalyzed degradation is still uncertain. This study used a sensitive coulometric detection method to determine concentrations of erythromycin A and its degradation products. To determine the buffer-independent rate constants, sodium acetate (0.05-0.2 M) and Tris-HCl (0.1-0.5 M) were used in a pH range of 3.5-5.5 and 7.0-9.0, respectively. In acidic conditions, anhydroerythromycin A appeared to be produced directly through an internal dehydration of erythromycin A-6,9-hemiketal which simultaneously established an equilibrium with erythromycin A enol ether on the other hand. In weakly alkaline conditions, hydroxide ion appeared to catalyze the hydrolysis of the lactonyl ester bond of erythromycin A-6,9-hemiketal by the pseudo-first-order kinetics, and the C13 --> C11 translactonization and internal dehydration reactions subsequently occurred to form pseudoerythromycin A enol ether. We suggest here a predictive model for reasonable interpretation of the kinetics of erythromycin A degradation in aqueous solutions, in which the observed rate constant was expressed by the sum of the partial reaction rate constants for the acid- and base-catalyzed degradation of erythromycin A-6,9-hemiketal as a function of pH in a range of 3.0-10.0.

Anti-Bacterial Agents↗

Evidence for cerebellar-frontal subsystem changes in children treated with intrathecal chemotherapy for leukemia: enhanced data analysis using an effect size model.

BACKGROUND: Following brain insult in early childhood, the later maturing neocerebellum and frontal lobes frequently show abnormalities. OBJECTIVE: To investigate the morphologic characteristics and function of a proposed cerebellar-frontal subsystem in children treated for acute lymphoblastic leukemia (ALL) with intrathecal methotrexate using quantitative magnetic resonance imaging, neuropsychological measures, nonlinear multiple regression analysis, and a statistical effect size model that augments interpretive validity of nonsignificant statistical findings, particularly from small sample size studies. DESIGN: Comparison and relationship of magnetic resonance imaging morphometry of cerebellar lobuli I-V and VI-VII and prefrontal cortices, and performance on 5 neuropsychological tests assessing visual-spatial attention, short-term memory, and visuomotor organization and coordination between childhood survivors of ALL and a matched control group. PARTICIPANTS: Ten childhood survivors of ALL treated between 1982 and 1989 with standard 3-year intrathecal chemotherapy, and matched control subjects. MAIN OUTCOME MEASURES: Morphometric results of cerebellar lobuli I-V and VI-VII and prefrontal cortices, and results of Trail-Making Tests, Rey-Osterreith Complex Figure Test, WISC-III Coding. RESULTS: Significant effect size model values for outcome measures in the ALL group support deficits in lobuli VI-VII and prefrontal cortices, and neuropsychological performance. Multiple regression analysis results were consistent with hypothesized involvement of a cerebellar-frontal brain subsystem. CONCLUSION: Treatment of children with ALL with intrathecal methotrexate before 5 years of age has structural and functional effects on the developing neocerebellar-frontal subsystem.

Adolescent↗

Biochemical and mass spectrometric characterization of soluble ecto-5'-nucleotidase from bull seminal plasma.

Ecto-5'-nucleotidase (ecto-5'-NT) is a glycosylphosphatidylinositol-anchored membrane-bound protein that is ubiquitous in mammalian tissues. It is a target for a number of therapeutic drugs since increased levels of the enzyme correlate with various disease states. In this investigation, we describe the properties of a soluble ecto-5'-NT derived from bull seminal plasma. The protein was highly heterogeneous as demonstrated by chromatofocusing and two-dimensional PAGE. Sequencing analyses revealed a truncated polypeptide lacking the glycosylphospatidylinositol attachment site, suggesting that it is produced post-translationally by cleavage at Gln(547) and/or Phe(548). Heterogeneity was largely due to differential glycosylation, especially in the oligosaccharides linked to Asn(403). Significant differences in substrate specificity were observed between isoforms and, on the basis of molecular-modelling studies, were interpreted in terms of variable glycosylation causing steric hindrance of the substrate-binding site. Thus the soluble forms of ecto-5'-NT found in bull seminal plasma are unique both biochemically and structurally, and have a putative role in signalling interactions with spermatozoa following ejaculation and capacitation in the female reproductive tract.

5'-Nucleotidase↗

Cytotoxic T lymphocytes and viral turnover in HIV type 1 infection.

To understand the role of the immune system in limiting HIV type 1 replication, it is critical to know to what extent the rapid turnover of productively infected cells is caused by viral cytopathicity or by immune-mediated lysis. We show that uncultured peripheral blood mononuclear cells of many patients contain cytotoxic T lymphocytes (CTL) that lyse target cells-at plausible peripheral blood mononuclear cell-to-target ratios-with half-lives of less than 1 day. In 23 patients with CD4 counts ranging from 10 to 900 per microliter, the average rate of CTL-mediated lysis corresponds to a target cell half-life of 0.7 day. We develop mathematical models to calculate the turnover rate of infected cells subjected to immune-mediated lysis and viral cytopathicity and to estimate the fraction of cells that are killed by CTL as opposed to virus. The models provide new interpretations of drug treatment dynamics and explain why the observed rate of virus decline is roughly constant for different patients. We conclude that in HIV type 1 infection, CTL-mediated lysis can reduce virus load by limiting virus production, with small effects on the half-life of infected cells.

Acquired Immunodeficiency Syndrome↗

Intestinal cell proliferation. I. A comprehensive model of steady-state proliferation in the crypt.

Cell replacement in the crypt of the murine small intestine has been studied and modelled mathematically under steady-state conditions. A great deal of information is available for this system, e.g. cell cycle times, S phase durations, the rate of daily cell production, the Paneth cell distribution etc. The purpose of the present work was to consider simultaneously as much of these data as possible and to formulate a model based upon the behaviour of individual cells which adequately accounted for them. A simple mathematical representation of the crypt has been developed. This consists of sixteen stem cells per crypt (TC = 16 hr, TS = 9 hr), and four subsequent transit cell divisions (TC = 11 to 12 hr, TS = 8 hr) before maturation. Experimental data considered to test the modelling were LI and data on the number of vertical runs of similarly labelled cells. All data were obtained from the ileum after 25 microCi [3H]TdR given at 09:00 hours. A number of alternative assumptions have been considered and either accepted or rejected. Two alternative model concepts of cell displacement explain the data equally well. One is dependent upon strong local cell generation age determinance while the other could accommodate any weak local cell displacement process in conjunction with an environmental cut-off determinant at the middle of the crypt. Both models provide new interpretations of the data, e.g. certain rates of lateral cell exchange between neighbouring columns (250 to 350 per crypt per day out of a total of 420 cell divisions per day) can be concluded from run data, while LI data provide information about the mechanisms involved in maintaining a position-related age order in the crypt.

Animals↗

Tension at the heme: a mathematical treatment of hemoglobin cooperativity.

The unique feature of this model is that both the fractional saturation and the free energy change are handled within the framework of the tension-displacement mechanism for hemoglobin co-operativity proposed by Perutz (1970, 1972), i.e. heme iron movement and associated changes in the protein globin internal tension, tau. Physically, tau is the force applied by the protein globin on the proximal histidine, preventing the iron stereochemistry from attaining the geometry preferred in the bound state. It is assumed that a change in position of the heme iron on ligand binding displaces the protein globin proportionately, thereby decreasing tau at neighboring sites; the resulting energy change is assumed to be delocalized throughout the flexible protein globin rather than localized at the heme group per se. The physical interpretation of the model parameters has important implications with regard to data analysis: first, structural data is used to fix the molecular displacements lt and lr; second, jt/jr provides a measure of the protein's intrinsic (i.e. tau = 0) affinity for the bound ligand, and third the set [Ei] is a property of the hemoglobin molecule only and can be determined, in principle, using structural data and optical absorption spectra. The calculated protein globin internal tension in the tense, unbound state (approximately 2 X 10(-5) dyne), determined from the fractional saturation data of Joels & Pugh (1958), is very similar (approximately 3.2 X 10(-5) dyne) to the value estimated by Hopfield (1973) from free energy considerations.

Carbon Monoxide↗

Evidence for three separate electron flow pathways through Complex I: an inhibitor study.

The mammalian mitochondrial electron transport chain catalyzes the oxidation of NADH at pH 8.0 and pH 6.5, and the oxidation of NADPH at pH 6.5. The pH-dependencies of the rate of steady-state oxidation of NADPH and NADH by Complex I as well as by its flavoprotein fraction have been extensively studied by the laboratory of Hatefi. One model to explain these pH-dependent oxidations was proposed by Bakker and Albracht (Biochim. Biophys. Acta 850 (1986) 413-422 and 423-428, modified by Van Belzen and Albracht (Biochim. Biophys Acta 974 (1989) 311-320), which predicts that Complex I is a heterodimer with promoter B, containing FMN and Fe-S clusters 1-4 in stiochiometric amounts, catalyzing NADH oxidation at pH 8, and Protomer A, containing FMN and Fe-S clusters 2, 4, catalyzing NAD(P)H oxidation at pH 6.5. A pH-dependent transfer of electrons from protomer A Fe-S clusters 2, 4 to protomer B Fe-S clusters 2, 4 is an obligate step in the oxidation of NAD(P)H at low pH. Strict interpretation of this model allows for only three types of inhibitor: one which inhibits all three oxidase activities (type 1); one which inhibits NADH oxidase, pH 8.0 (type 4) and a third which inhibits NAD(P)H oxidase, pH 6.5 (type 5). Another possibility is that there are three separate pathways of oxidation of NAD(P)H, which would allow for a total of seven different types of inhibitor, e.g., the three types above plus type 2 inhibiting NADH oxidase pH 8.0 and pH 6.5; type 3 inhibiting NADH oxidase pH 8.0, and NADPH oxidase pH 6.5; type 6 inhibiting NADH oxidase pH 6.5; and type 7 inhibiting NADPH oxidase pH 6.5. Using a series of thirteen inhibitors of Complex I activity and the chemical modification reagent ethoxyformic anhydride (EFA), four different inhibitor types were found: seven inhibitors of type 1, four inhibitors of type 2, one inhibitor of type 3 and one inhibitor of type 4. Treatment of submitochondrial particles (SMP) with EFA abolished NADH-dependent reduction of coenzyme Q at both pH 8.0 and 6.5, while inhibiting NADPH-dependent reduction of coenzyme Q at pH 6.5 by only 30%. These results do not support the heterodimer model of Complex I electron transport of Bakker and Albracht, but do support three separate electron flow pathways through complex 1 from reduced pyridine nucleotides to coenzyme Q. A new model of electron flow through Complex I based on these finding is proposed.

Animals↗

Pre-natal blood lead levels and learning difficulties in children: an analysis of non-randomly missing categorical data.

This paper presents an analysis of categorical variables subject to non-response. We incorporate the incomplete data into the analysis by modelling the distribution of the variables of interest and the non-response mechanism. We discuss issues of model selection and interpretation and the effect of discarding incomplete observations. In addition, we describe how to perform all of the computations with standard statistical software. We discuss the problem of incomplete categorical data within the context of a study of the effect of lead exposure on learning difficulties in children. In this study, many of the children are not observed on some of the variables of interest. It is particularly important in this study to incorporate the incomplete data, since there is evidence that non-response is related to the variables of interest. We reach different conclusions when we incorporate the incomplete data into the analysis than we reach when we discard the incomplete data. We also examine the sensitivity of our conclusions to the choice of a model for the non-response mechanism.

Algorithms↗

Slow ('resting') forms of mitochondrial cytochrome c oxidase consist of two kinetically distinct conformations of the binuclear CuB/a3 centre--relevance to the mechanism of proton translocation.

We have purified slow ('resting') cytochrome oxidase from bovine heart, free of contamination with fast ('pulsed') enzyme. This form of the enzyme shows two kinetic phases of reduction of haem a3 by dithionite (k = 0.020 +/- 0.005 s-1 and k = 0.005 +/- 0.002 s-1). The presence of ligands that bind to the oxidized or reduced binuclear centre (formate or carbon monoxide respectively) has no effect on these rates. Varying the dithionite concentration also has no effect on either phase, although at low dithionite concentrations a lag phase is observed as the rate of haem a reduction is slower. The results are consistent with a model for reduction of the slow enzyme where the rate of electron transfer to the binuclear centre is the limiting step, rather than an equilibrium model where the haem a3 redox potential is low. Increasing the pH decreases the rate of the slower phase of dithionite reduction, but has no effect on the faster phase. EPR studies show that the slow phase (only) correlates with the disappearance of the g' = 12/g' = 2.95 signals, with the same pH dependence; again the presence of formate has no effect on these results. Deconvolution of the oxidized optical spectra shows that the enzyme reduced in the slow phase has a blue-shifted Soret band, relative to that reduced in the faster phase. Incubation of the oxidized enzyme at high pH causes a line-broadening of both the g' = 12 and g' = 2.95 EPR signals with no obvious effect on the amount of signal. The results are interpreted in a model where the presence of a carboxylate bridge between haem a3 and CuB defines the slow enzyme. It is suggested that the two rates of dithionite reduction are the result of different ligation to CuB--where water is the ligand the binuclear centre is FeIV/CuI (EPR-silent) and where hydroxide is the ligand the binuclear centre is FeIII/CuII (g' = 12/g' = 2.95 EPR signals).

Animals↗

Association of anthracyclines and synthetic hexanucleotides. Structural factors influencing sequence specificity.

The equilibrium and kinetic aspects of the interaction between four anthracyclines and two synthetic self-complementary hexanucleotides was investigated by fluorescence detection. Two of the studied anthracyclines are widely used antitumor drugs: doxorubicin (1, formerly adriamycin) and daunorubicin (2, formerly daunomycin). The other two, 9-deoxydoxorubicin (3) and 3'-deamino-3'-hydroxy-4'-epidoxorubicin (4), are doxorubicin analogues with modifications of the chemical groups that have been proposed as responsible for sequence specificity (Chen, K.-X., Gresh, N. and Pullman, B. (1985). J. Biomol. Struct. Dyn. 3, 445-466). One of the oligonucleotides, d(CGTACG), is identical to that used in the high resolution x-ray structure determination of the daunorubicin intercalative complex (Wang, A. H.-J., Ughetto, G., Quigley, G. J. & Rich, A. (1987). Biochemistry 26, 1152-1163). Binding to this hexanucleotide is compared with intercalation into the d(CGCGCG) duplex, revealing sequence preferences of the four anthracyclines. Taking into account the anthracycline aggregation and the dissociation of the hexanucleotide double standard form, results can be interpreted with a model that assumes complete fluorescence quenching at intercalative sites containing the CG base pair, and a large residual fluorescence after intercalation within the TpA fragment. All four anthracyclines show preferential intercalation at sites near the ends of both hexanucleotide duplexes, partly as a result of positive cooperativity in the formation of di-intercalated species at these sites. Within the limits of experimental error, complete site specificity for the CpG fragment is found in the intercalation of 1 and 2 into d(CGTACG) duplex, whereas analogues 3 and 4 give increasing evidence of intercalation at other sites including the fluorescence-preserving TpA fragment. Site specificity is less pronounced in the association with d(CGCGCG), when cooperativity is taken into account. Kinetic data corroborate the results of equilibrium studies and are interpreted with a mechanism that includes formation of an intermediate bound species followed by drug redistribution to preferential sites. Finally, from a comparison of pertinent site binding constants, approximate free energy contributions to sequence specific DNA interaction, due to C9-OH on the aglycone and -NH3+ on daunosamine, are estimated not to exceed 2 kcal/mol.

Antibiotics, Antineoplastic↗

Spatial patterns of human gene frequencies in Europe.

The aims of this study of spatial patterns of human gene frequencies in Europe are twofold. One is to present new methodology developed for the analysis of such data. The other is to report on the diversity of spatial patterns observed in Europe and their interpretation as evidence of population processes. Spatial variation in 59 allele and haplotype frequencies (26 genetic systems) for polymorphisms in blood antigens, enzymes, and proteins is analyzed for an aggregate of 3,384 localities, using homogeneity tests, one-dimensional and directional spatial correlograms, and SYMAP interpolated surfaces. The data matrices are reduced to reveal the principal patterns by clustering techniques. The findings of this study can be summarized as follows: 1) There is significant heterogeneity in allele frequencies among the localities for all but one genetic system. 2) There are significant spatial patterns for most allele frequencies. 3) There is a substantial minority of clinal patterns in these populations. Clinal trends are found more frequently in HLA alleles than for other variables. North-south and northwest-southwest gradients predominate. 4) There is a strong decline in overall genetic similarity with geographic distance for most variables. 5) There are few, if any, appreciable correlations in pairs of allele frequencies over the continent, and there is little interesting correlation structure in the resulting correlation matrix. 6) Few spatial correlograms are markedly similar to each other, yet they form well-defined clusters. Spatial variation patterns, therefore, differ among allele frequencies. Patterns of human gene frequencies in modern Europe are diverse and complex. No single model suffices for interpretation of the observed genetic structure. Some clinal patterns reported here support the Neolithic demic-expansion hypothesis, others suggest latitudinal selection. Most of the clinal patterns are in HLA alleles, but there is also evidence from ABO for east-west migration diffusion. The majority of patterns are patchy, consistent with hypotheses of isolation by distance or of settlement of genetically differing, subsequently expanding ethnic groups. While undoubtedly there has been an ongoing stochastic process of differentiation consistent with the isolation-by-distance model, this has not obscured the directional patterns caused by migration (demic diffusion), and has perhaps only reinforced the contribution from settlement of ethnic units to patterns of genetic variation. However, the impact of the latter is most difficult to discern and requires further methodological developments.

ABO Blood-Group System↗