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Explaining high alloreactivity as a quantitative consequence of affinity-driven thymocyte selection.

Interactions between alphabeta T cell receptors and peptides bound to molecules encoded by the MHC genes underly T cell activation. More than 1% of T cells are activated by foreign (allogenic) MHC molecules, a phenomenon called alloreactivity. Reconciling the high frequency of alloreactivity with the fact that only 1 T cell in 10(4)-10(6) responds to a given foreign antigen presented on self MHC has been a long-standing puzzle. We show, by using a quantitative model, that this difference follows from the affinity model of T cell selection. Further, we demonstrate that highly alloreactive pre- and post-selection repertoires can be obtained without assuming germline bias of T cell receptors toward recognition of allele-specific MHC residues. It has been proposed that alloreactivity occurs because self and foreign MHCs bind different subsets of self peptides or alter their conformation differently. We find that such effects decrease rather than increase alloreactivity. Overall, our results show that the affinity model of T cell selection can quantitatively explain both self MHC restriction and high alloreactivity.

Animals↗

A quantitative description of the diffusion of noradrenaline in the media of blood vessels following its release from sympathetic varicosities.

A quantitative model is provided which describes how noradrenaline (NAd), released from varicosities at the adventitial surface of an artery, either diffuses into the media of the vessel to reach the intimal surface, diffuses into the volume of solution surrounding the artery, or is removed by the uptake 1 process in the varicosities. These predictions are then compared with experimental evaluations of the extent of changes in NAd to be found at the adventitial and intimal surfaces of the rat-tail artery, during and after trains of impulses, as determined using amperometry. In the model of the blood vessel there is a sequential decrease in the diffusion constant of NAd from the surrounding solution, to the adventitia, to the media, to the endothelium, to rise again in the lumen of the vessel; there is also an uptake 1 NAd pump in the varicosities described by Michaelis-Menten kinetics. This model is shown to provide a quantitative account of the spatial and temporal changes in NAd observed following trains of impulses at different frequencies of stimulation (5-40 Hz) for different periods of times (10-40 s). Changes in the spatio-temporal distribution of NAd observed following block of the uptake 1 NAd pump were also successfully predicted by the model. It is concluded that, within the context of the model, there is no need to evoke special mechanisms of buffering at the sympathetic varicosities, nor distinctions on the basis that only secreting varicosities utilize the uptake 1 mechanism, in order to describe the dynamics of NAd distribution in arteries during nerve activity.

Animals↗

Pharmacokinetics and pharmacodynamic modeling of direct suppression effects of methylprednisolone on serum cortisol and blood histamine in human subjects.

Pharmacodynamic models for "directly suppressive" effects of methylprednisolone are based on the premise that receptor interactions of steroids are followed by immediate suppression of either the circadian secretion of cortisol or the constant rate recirculation of histamine-containing basophils that persists until inhibitory concentrations of methylprednisolone disappear. Methylprednisolone doses of 0, 10, 20, and 40 mg were given as the 21-succinate sodium salt in a balanced crossover study to six normal men. Plasma steroid concentrations and blood histamine were measured simultaneously. Both forms of methylprednisolone exhibited linear kinetic parameters. One dynamic model quantitates the baseline circadian pattern and the decline and return of cortisol with similar parameter estimates for all three dose levels. A similar model describes the monoexponential decline and the log-linear return to steady-state baseline of blood histamine. Similar inhibitory concentration values for both effects approximated the equilibrium dissociation constant of in vitro steroid receptor binding. The new models are more physiologically appropriate for these steroid effects than three other models that are commonly employed in pharmacodynamics. Steroid effects generally appear to be receptor mediated with either nongene immediate responses or gene-mediated delayed effects. These models allow quantitation of the rapid effects of steroids with simple equations and common fitted parameters for all steroid dose levels.

Adult↗

Transcriptional regulation by the numbers: applications.

With the increasing amount of experimental data on gene expression and regulation, there is a growing need for quantitative models to describe the data and relate them to their respective context. Thermodynamic models provide a useful framework for the quantitative analysis of bacterial transcription regulation. This framework can facilitate the quantification of vastly different forms of gene expression from several well-characterized bacterial promoters that are regulated by one or two species of transcription factors; it is useful because it requires only a few parameters. As such, it provides a compact description useful for higher-level studies (e.g. of genetic networks) without the need to invoke the biochemical details of every component. Moreover, it can be used to generate hypotheses on the likely mechanisms of transcriptional control.

Animals↗

Potential fields in vascular smooth muscle generated by transmitter release from sympathetic varicosities.

A quantitative model is provided of how current flow occurs in the media of blood vessels upon the release of transmitter from autonomic varicosities onto ionotropic receptors located on smooth muscle cells at the adventitial surface of the vessel. In particular, the extent to which potential generated in cells at the adventitial surface (AS) conducts through to cells at the intimal surface (IS) is investigated. Experimental tests of the model have been made for the case of the rat tail artery. The model of the media is an extension of the discrete bidomain syncytium to the case where the smooth muscle syncytium is bounded on two sides by a volume conductor, as is the case with the media of blood vessels. The amplitudes and temporal characteristics of excitatory junction potentials (EJPs), recorded throughout this syncytium following the release of ATP from varicosities located on one side of the syncytium, are predicted by the theory. Current injection into a single cell at the AS will not give rise to a detectable membrane potential at the IS; however, simultaneous injection of current into all the cells at the AS can give rise to a membrane potential at the IS that has an amplitude of about 50% of that at the AS, in agreement with experimental findings. In addition, the effects of perturbing the electrical couplings between cells in the syncytium on the EJPs recorded at different sites in the syncytium are also predicted. This work shows that the discrete bidomain model of the syncytium gives a quantitative description of the current and potential fields that occur throughout the smooth muscle of the media of blood vessels following the release of transmitter from varicosities at the adventitial surface of the vessels. The theory can be applied to the media of blood vessels of any size to determine the relative effectiveness of sympathetic nerves in controlling the excitability of smooth muscle cells through the media.

Action Potentials↗

Linking anatomy and physiology in modeling respiratory mechanics.

We present an integrated 3D virtual environment for the quantitative modeling of the anatomy and the physiology of the pulmonary system. Our approach formally integrates 3D deformable object modeling with conventional models of respiratory mechanics. We demonstrate quantitatively, aspects of the behavior of the respiratory system qualitatively known to clinicians, such as normal quiet breathing and an open sucking chest wound. Our methodology is general and can be used to model both the anatomy and the physiology at many levels of detail. Another important aspect of our approach is that based on our previously developed computer vision techniques we can make such a simulation patient specific. The usefulness of such a system is manifold. Medical education, surgical planning, disease diagnosis are some of the many areas such a system can be applied.

Computer Simulation↗

Integrated approach using protein and ligand information to analyze selectivity- and affinity-determining features of carbonic anhydrase isozymes.

The application and comparison of selected protein- and ligand-based approaches to elucidate factors important for affinity and selectivity towards the carbonic anhydrase isozymes I, II, and IV are described. Carbonic anhydrases are abundant in pro- and eukaryotes. These enzymes catalyze the reversible hydration of carbon dioxide to bicarbonate and H(+) ions and are thus involved in many important physiological and pathophysiological processes. Due to the fact that the human carbonic anhydrase family consists of 16 closely related isozymes, the design of selective inhibitors is a special challenge for medicinal chemists. In order to extract selectivity-determining features, we applied purely ligand-based 3D QSAR techniques as well as qualitative comparative molecular field analyses of the targets' binding sites using consensus principal component analysis (CPCA). The dataset for the QSAR studies was deliberately compiled from 1,748 inhibitors and comprises about 140 ligands, mainly of the sulfonamide type. Additionally, we employed the novel AFMoC approach, which intrinsically combines protein and ligand information. The simultaneous use of these different techniques gives deeper insight into selectivity and affinity-determining features and provides quantitative models for prediction.

Carbonic Anhydrase Inhibitors↗

Quantitative structure-activity relationship in aziridinyl-1,4-naphthoquinone antimalarials: study of theoretical correlations by the PM3 method.

Several molecular parameters for 2,3,5-substituted 1,4-naphthoquinones including 2-aziridinyl and 2,3-aziridinyl-1,4-naphthoquinones with antimalarial activities were obtained with the semi-empirical PM3 method. The descriptor related to the Gibbs free energy of an isodesmic equation defining the reduction of the naphthoquinones was found to have high correlation with activity. The quantitative models reported clearly show a dependence of activity on the redox potential for reduction of the naphthoquinones. Compounds with lower values of DeltaG for reduction are more active than those with higher values of DeltaG.

Antimalarials↗

A nonlinear model of the behavior of simple cells in visual cortex.

Despite their structured receptive fields (RFs) and the strong linear components in their responses, most simple cells in mammalian visual cortex exhibit nonlinear behaviors. Besides the contrast-response function, nonlinearities are evident in various types of failure at superposition tasks, in the disagreement between direction indices computed from drifting and counterphase flickering gratings, in various forms of response suppression (including end- and side-stopping, spatial-frequency-specific inhibition and cross-orientation inhibition), in the advance of phase with increasing contrast, and in phase-insensitive and frequency-doubled responses to counterphase flickering gratings. These behaviors suggest that nonlinearities are involved in the operation of simple cells, but current models fail to explain them. A quantitative model is presented here that purports to describe basic and common principles of operation for all visual cortical cells. Simple cells are described as receiving afferents from multiple subunits that differ in their individual RFs and temporal impulse responses (TIRs). Subunits are independent and perform a spatial integration across their RFs followed by halfwave rectification and temporal convolution with their TIRs. This parallel operation yields a set of temporal functions representing each subunit's contribution to the membrane potential of the host cell, whose final form is given by the weighted sum of all subunits' contributions. By varying the number of subunits and their particular characteristics, different instances of the model are obtained each of which displays a different set of behaviors. Extensive simulation results are presented that illustrate how all of the reported nonlinear behaviors of simple cells arise from these multi-subunit organizations.

Animals↗

Genetic variability at neutral markers, quantitative trait land trait in a subdivided population under selection.

Genetic variability in a subdivided population under stabilizing and diversifying selection was investigated at three levels: neutral markers, QTL coding for a trait, and the trait itself. A quantitative model with additive effects was used to link genotypes to phenotypes. No physical linkage was introduced. Using an analytical approach, we compared the diversity within deme (H(S)) and the differentiation (F(ST)) at the QTL with the genetic variance within deme (V(W)) and the differentiation (Q(ST)) for the trait. The difference between F(ST) and Q(ST) was shown to depend on the relative amounts of covariance between QTL within and between demes. Simulations were used to study the effect of selection intensity, variance of optima among demes, and migration rate for an allogamous and predominantly selfing species. Contrasting dynamics of the genetic variability at markers, QTL, and trait were observed as a function of the level of gene flow and diversifying selection. The highest discrepancy among the three levels occurred under highly diversifying selection and high gene flow. Furthermore, diversifying selection might cause substantial heterogeneity among QTL, only a few of them showing allelic differentiation, while the others behave as neutral markers.

Computer Simulation↗

Evaluating spatial constraints in cellular assembly processes using a monte carlo approach.

Biomolecular behavior commonly involves complex sets of interacting components that are challenging to understand through solution-based chemical theories. Molecular assembly is especially intriguing in the cellular environment because of its links to cell structure in processes such as chemotaxis. We use a coarse-grained Monte Carlo simulation to elucidate the importance of spatial constraints in molecular assembly. We have performed a study of actin filament polymerization through this space-aware probabilistic lattice-based model. Quantitative results are compared with nonspatial models and show convergence over a wide parameter space, but marked divergence over realistic levels corresponding to macromolecular crowding inside cells and localized actin concentrations found at the leading edge during cell motility. These conclusions have direct implications for cell shape and structure, as well as tumor cell migration.

Actin Cytoskeleton↗

QU-GENE: a simulation platform for quantitative analysis of genetic models.

MOTIVATION: Classical quantitative genetics theory makes a number of simplifying assumptions in order to develop mathematical expressions that describe the mean and variation (genetic and phenotypic) within and among populations, and to predict how these are expected to change under the influence of external forces. These assumptions are often necessary to render the development of many aspects of the theory mathematically tractable. The availability of high-speed computers today provides opportunity for the use of computer simulation methodology to investigate the implications of relaxing many of the assumptions that are commonly made. RESULTS: QU-GENE (QUantitative-GENEtics) was developed as a flexible computer simulation platform for the quantitative analysis of genetic models. Three features of the QU-GENE software that contribute to its flexibility are (i) the core E(N:K) genetic model, where E is the number of types of environment, N is the number of genes, K indicates the level of epistasis and the parentheses indicate that different N:K genetic models can be nested within types of environments, (ii) the use of a two-stage architecture that separates the definition of the genetic model and genotype-environment system from the detail of the individual simulation experiments and (iii) the use of a series of interactive graphical windows that monitor the progress of the simulation experiments. The E(N:K) framework enables the generation of families of genetic models that incorporate the effects of genotype-by-environment (G x E) interactions and epistasis. By the design of appropriate application modules, many different simulation experiments can be conducted for any genotype-environment system. The structure of the QU-GENE simulation software is explained and demonstrated by way of two examples. The first concentrates on some aspects of the influence of G x E interactions on response to selection in plant breeding, and the second considers the influence of multiple-peak epistasis on the evolution of a four-gene epistatic network. AVAILABILITY: QU-GENE is available over the Internet at (http://pig.ag.uq.edu.au/qu-gene/) CONTACT: m.cooper@mailbox.uq.edu. au

Computer Simulation↗

Quantitative Petri net model of gene regulated metabolic networks in the cell.

A method to exploit hybrid Petri nets (HPN) for quantitatively modeling and simulating gene regulated metabolic networks is demonstrated. A global kinetic modeling strategy and Petri net modeling algorithm are applied to perform the bioprocess functioning and model analysis. With the model, the interrelations between pathway analysis and metabolic control mechanism are outlined. Diagrammatical results of the dynamics of metabolites are simulated and observed by implementing a HPN tool, Visual Object Net ++. An explanation of the observed behavior of the urea cycle is proposed to indicate possibilities for metabolic engineering and medical care. Finally, the perspective of Petri nets on modeling and simulation of metabolic networks is discussed.

Algorithms↗

Biological regulation of receptor-hormone complex concentrations in relation to dose-response assessments for endocrine-active compounds.

Some endocrine-active compounds (EACs) act as agonists or antagonists of specific hormones and may interfere with cellular control processes that regulate gene transcription. Many mechanisms controlling gene expression are universal to organisms ranging from unicellular bacteria to more complex plants and animals. One mechanism, coordinated control of batteries of gene products, is critical in adaptation of bacteria to new environments and for development and tissue differentiation in multi-cellular organisms. To coordinately activate sets of genes, all living organisms have devised molecular modules to permit transitions, or switching, between different functional states over a small range of hormone concentration, and other modules to stabilize the new state through homeostatic interactions. Both switching and homeostasis are regulated by controlling concentrations of hormone-receptor complexes. Molecular control processes for switching and homeostasis are inherently nonlinear and often utilize autoregulatory feedback loops. Among the biological processes contributing to switching phenomena are receptor autoinduction, induction of enzymes for ligand synthesis, mRNA stabilization/activation, and receptor polymerization. This paper discusses a variety of molecular switches found in animal species, devises simple quantitative models illustrating roles of specific molecular interactions in creating switching modules, and outlines the impact of these switching processes and other feedback loops for risk assessments with EACs. Quantitative simulation modeling of these switching mechanisms made it apparent that highly nonlinear dose-response curves for hormones and EACs readily arise from interactions of several linear processes acting in concert on a common control point. These nonlinear mechanisms involve amplification of response, rather than multimeric molecular interactions as in conventional Hill relationships.

Animals↗

Molecular and cell models of biological effects of heavy ion radiation.

Many quantitative models have been developed for the biological effectiveness of radiation of different quality. They differ substantially in their assumptions, and a lack of firm knowledge remains as to the detailed nature of the critical early molecular damage. Analyses of microscopic features of the stochastic structures of radiation tracks have led to hypotheses on the importance of clustered damage in DNA and associated molecules. Clustered damage of greater complexity or severity is suggested to be less repairable and therefore to dominate the biological consequences.

Animals↗

A general interactive model for B cell activation. I. The theory.

A quantitative model of the B lymphocyte triggering apparatus is proposed in which mitogen receptors and surface immunoglobulins are described as allosteric proteins that interact with mitogens and antigens. An equation is derived that describes the activation of a cell as a function of the states of these receptors as defined by ligand and receptor concentrations, ligand receptor equilibrium constants, and receptor allosteric constants. We analyze the model and show that different parameter sets will actually generate a description of the one-nonspecific-signal model, the matrix model, or the two-signal model of B cell triggering. We suggest that our general interactive model provides a useful conceptual approach to studies of B cell activation because it encompasses other available models that are individually consistent with some experiments, but mutually exclusive to each other. A companion paper describes a series of experiments that verify the consistency of the general model.

B-Lymphocytes↗

Predicting the onset of compulsive drinking in alcoholics: a biopsychosocial model.

An attempt is made to develop a formal quantitative model for predicting the conditions under which compulsive drinking will appear in alcoholics. Biological variables are represented by phenomenological concepts as are psychological and social variables. The usefulness of the model in resolving apparent conflict among concepts and empirical findings is explored. Limitations of the model are examined as are further necessary extensions of it in terms of alcoholic subgroups and multiple biopsychosocial models.

Alcohol Drinking↗

A Newtonian rheological model for the interface of microbubble contrast agents.

A quantitative model of the dynamics of an encapsulated microbubble contrast agent will be a valuable tool in contrast ultrasound (US). Such a model must have predictive ability for widely varying frequencies and pressure amplitudes. We have developed a new model for contrast agents, and successfully investigated its applicability for a wide range of operating parameters. The encapsulation is modeled as a complex interface of an infinitesimal thickness. A Newtonian rheology with surface viscosities and interfacial tension is assumed for the interface, and a modified Rayleigh-Plesset equation is derived. The rheological parameters (surface tension and surface dilatational viscosity) for a number of contrast agents (Albunex, Optison and Quantison) are determined by matching the linearized model dynamics with experimentally obtained attenuation data. The model behavior for Optison (surface tension 0.9 N/m and surface dilatational viscosity 0.08 msP) was investigated in detail. Specifically, we have carried out a detailed interrogation of the model, fitted in the linear regime, for its nonlinear prediction. In contrast to existing models, the new model is found to capture the characteristic subharmonic emission of Optison observed by. A detailed parametric study of the bubble behavior was executed using the ratio of scattering to attenuation (STAR). It shows that the encapsulation drastically reduces the influence of resonance frequency on scattering cross-section, suggesting possible means of improvement in imaging at off-resonant frequencies. The predictive capability of the present model indicates that it can be used for characterizing different agents and designing new ones.

Albumins↗