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Three-dimensional computer modelling system for the study of biological structures.

A three-dimensional computer modelling system has been developed for use in biology, and is currently running on a Sun3 computer. The data originate as a series of two-dimensional micrographs which are digitised via a TV camera. The two-dimensional images are used to select features of interest and to construct a three-dimensional model. This model can be viewed in vector or solid format, it can be rotated about three orthogonal axes and can be viewed in three dimensions as a stereo pair or an anaglyph. The system has been used in a large number of projects over the past 10-15 years, for example, to examine physiological and nerve structures. The time-consuming part of the process is the selection of features, which involves a high level of biological expertise. Present developments are concerned with reduction of the time spent in feature recognition and involve the introduction of expert systems together with human-computer interaction to deal with problems of identification.

Computer Simulation↗

Finite-element modeling of needle electrodes in tissue from the perspective of frequent model computation.

Information about electric field distribution in tissue is very important for effective electropermeabilization. In heterogeneous tissues with complex geometry, finite-element (FE) models provide one of alternative sources of such information. In the present study, modeling of needle electrode geometry in the FE model was investigated in order to determine the most appropriate geometry by considering the need for frequent FE model computation present in electroporation models. The 8-faceted needle electrode geometry proposed--determined on a model with a single needle electrode pair by means of criteria function--consisted of the weighted sum of relative difference between measured and computed total current, the relative difference in CPU time spent on solving model, and the relative difference in cross section surface of electrodes. Such electrode geometry was further evaluated on physical models with needle arrays by comparison of computed total current and measured current. The agreement between modeled and measured current was good (within 9% of measurement), except in cases with very thin gel. For voltage above 50 V, a linear relationship between current and voltage was observed in measurements. But at lower voltages, a nonlinear behavior was detected resulting from side (electrochemical) effects at electrode-gel interface. This effect was incorporated in the model by introducing a 50-V shift which reduced the difference between the model and the measurement to less than 3%. As long as material properties and geometry are well described by FE model, current-based validation can be used for a rough model validation. That is a routine assay compared with imaging of electric field, which is otherwise employed for model validation. Additionally, current estimated by model, can be preset as maximum in electroporator in order to protect tissue against damage.

Animals↗

Self-instruction and assessment in techniques of intensive care using a computer model of the respiratory system.

There are considerable logistical difficulties involved in providing an adequate training programme for each new doctor when starting intensive care. One solution is to use an interactive computer terminal and provide programmes for self-instruction and assessment. Using a computer model of the respiratory system linked to a computer-assisted instructional driver we have developed instructional exercises on the management of artificial ventilation and the treatment of respiratory failure. Each teaching session contains explanatory text, multiple choice questions and model simulations. The student can interact with the simulations, appropriate assistance being provided when required, while his answers are marked and assessed with further explanation when necessary. The use of computer models adds a new dimension to computer-assisted learning techniques and is particularly applicable to intensive care medicine.

Computer-Assisted Instruction↗

Inactive and active states and supramolecular organization of GPCRs: insights from computational modeling.

Herein we make an overview of the results of our computational experiments aimed at gaining insight into the molecular mechanisms of GPCR functioning either in their normal conditions or when hit by gain-of-function or loss-of-function mutations. Molecular simulations of a number of GPCRs in their wild type and mutated as well as free and ligand-bound forms were instrumental in inferring the structural features, which differentiate the mutation- and ligand-induced active from the inactive states. These features essentially reside in the interaction pattern of the E/DRY arginine and in the degree of solvent exposure of selected cytosolic domains. Indeed, the active states differ from the inactive ones in the weakening of the interactions made by the highly conserved arginine and in the increase in solvent accessibility of the cytosolic interface between helices 3 and 6. Where possible, the structural hallmarks of the active and inactive receptor states are translated into molecular descriptors useful for in silico functional screening of novel receptor mutants or ligands. Computational modeling of the supramolecular organization of GPCRs and their intracellular partners is the current challenge toward a deep understanding of their functioning mechanisms.

Animals↗

[Use of selective inhibitors for computer modeling of the monoamine oxidase active site].

Monoamine oxidase (MAO) is an integral protein of the outer mitochondrial membrane, catalysing the reaction of oxidative deamination of monoamines in the central nervous system and peripheral tissues. The present paper reviews data on the structure of MAO, approaches and methods of computer modeling of active site structure, based on the analysis of MAO inhibition by selective inhibitors Flexible molecules, possessing many conformers are useless for computer modeling. Competitive fully reversible MAO inhibitors with rigid structure and limited number of conformers are preferential compounds for these studies.

Binding Sites↗

A computational model for tracking subsurface tissue deformation during stereotactic neurosurgery.

Recent advances in the field of stereotactic neurosurgery have made it possible to coregister preoperative computed tomography (CT) and magnetic resonance (MR) images with instrument locations in the operating field. However, accounting for intraoperative movement of brain tissue remains a challenging problem. While intraoperative CT and MR scanners record concurrent tissue motion, there is motivation to develop methodologies which would be significantly lower in cost and more widely available. The approach we present is a computational model of brain tissue deformation that could be used in conjunction with a limited amount of concurrently obtained operative data to estimate subsurface tissue motion. Specifically, we report on the initial development of a finite element model of brain tissue adapted from consolidation theory. Validations of the computational mathematics in two and three dimensions are shown with errors of 1%-2% for the discretizations used. Experience with the computational strategy for estimating surgically induced brain tissue motion in vivo is also presented. While the predicted tissue displacements differ from measured values by about 15%, they suggest that exploiting a physics-based computational framework for updating preoperative imaging databases during the course of surgery has considerable merit. However, additional model and computational developments are needed before this approach can become a clinical reality.

Animals↗

Evaluation of a computational model used to predict the patellofemoral contact pressure distribution.

One possible cause of patellofemoral pain syndrome is excessive lateral force acting on the patella. Although several treatment methods focus on decreasing the lateral force acting on the patella, the relationship between the lateral force and the patellofemoral contact pressure distribution is unclear. A computational model has been developed to determine how loading variations alter the patellofemoral force and pressure distributions for individual knees. The model allows variation in the quadriceps and patella tendon forces, and calculates the predicted contact pressure distribution using the discrete element analysis technique. To characterize the accuracy of the model, four cadaver knees were flexed on a knee simulator with three initial Q-angles, while recording the force and pressure distributions with a pressure sensor. A model of each knee was created from CT data. Using the external force applied to the knee, the geometry of the knee, and the quadriceps origin as input, the pressure distribution was calculated during flexion. Similar trends were noted for the computational and experimental results. The percentage of the total force applied to the lateral cartilage increased with the Q-angle. The maximum contact pressure increased during flexion. The maximum lateral contact pressure increased with the Q-angle for three knees. For the other knee, increasing the Q-angle decreased the maximum lateral pressure. The maximum medial contact pressure decreased as the Q-angle increased. By characterizing the influence of patellofemoral loading on the force and pressure distributions, the computational model could be used to evaluate treatment methods prescribed for patellofemoral pain.

Cadaver↗

The solution conformations of ferrichrome and deferriferrichrome determined by 1H-NMR spectroscopy and computational modeling.

We have applied computational procedures that utilize nmr data to model the solution conformation of ferrichrome, a rigid microbial iron transport cyclohexapeptide of known x-ray crystallographic structure [D. van der Helm et al. (1980) J. Am. Chem. Soc. 102, 4224-4231]. The Al3+ and Ga3+ diamagnetic analogues, alumichrome and gallichrome, dissolved in d6-dimethylsulfoxide (d6-DMSO), were investigated via one- and two-dimensional 1H-nmr spectroscopy at 300, 600, and 620 MHz. Interproton distance constraints derived from proton Overhauser experiments were input to a distance geometry algorithm [T. F. Havel and K. Wüthrich (1984) Bull. Math. Biol. 46, 673-691] in order to generate a family of ferrichrome structures consistent with the experimental data. These models were subsequently optimized through restrained molecular dynamics/energy minimization [B. R. Brooks et al. (1983) J. Comp. Chem. 4, 187-217]. The resulting structures were characterized in terms of relative energies and conformational properties. Computations based on integration of the generalized Bloch equations for the complete molecule, which include the 14N-1H dipolar interaction, demonstrate that the x-ray coordinates reproduce the experimental nuclear Overhauser effect time courses very well, and indicate that there are no significant differences between the crystalline and solution conformations of ferrichrome. A similar study of the metal free peptide, deferriferrichrome, suggests that at least two conformers are present in d6-DMSO at 23 degrees C. Both are different from the ferrichrome structure and explain, through conformational averaging, the observed amide NH and CH alpha multiplet splittings. The occurrence of interconverting peptide backbone conformations yields an increased number of sequential NH-CH alpha and NH-NH Overhauser connectivities, which reflects the mean value of r-6 dependence of the dipolar interaction. Our results support the idea that, in the case of structurally rigid peptides, moderately accurate distance constraints define a conformational subspace encompassing the "true" structure, and that energy considerations reduce the size of this subspace. For flexible peptides, however, the straight-forward approach can be misleading since the nmr parameters are averaged over substantially different conformational states.

Amino Acid Sequence↗

Cardiac electrophysiological experiments in numero, Part I: Concepts and strategies of mathematical and computer models.

This article is the first of three articles that review mathematical and computer models of the heart and describe their construction, development, research potential, and clinical utility. This article explains the methodological principles of mathematical and computer simulation of biomedical systems. The strategies of model construction, testing, and application are presented; the advantages and limitations of computer simulation studies are explained, and the basic value of computer simulation for cardiological research and practice is discussed.

Cardiac Pacing, Artificial↗

Metabolism of totally ischemic excised dog heart. I. Construction of a computer model.

Construction and fit to the experimental data of a computer model of glycolysis, the Krebs cycle, and related metabolism in an ischemic dog heart preparation, involving 122 metabolites, 65 enzymes, and 406 chemical reactions, is described. The experimental preparation simulated is a dog heart excised from the body, placed in a beaker of Tyrode's solution, and sampled for 100 min; the model required only moderate modification from models representing perfused rat hearts, and little modification from a model of another ischemic dog heart preparation. Common underlying mechanisms for the ischemia are indicated, although this preparation appears to evolve more slowly with time, perhpas owing to heavy sedation and diffusion-limited transport. Lactate is, at first, exported and then accumulates intracellularly; pH falls, but not as much in the mitochondria as the cytoplasm; redox couples go reduced, but with counterintuitive time courses; calcium phosphate is calculated to precipitate, as often observed in cardiac ischemia.

Adenine Nucleotides↗

[Computer modeling of cytochrome P450 2E1 three-dimensional structure].

A computer model of human cytochrome P450 2E1 (CYP2E1) three-dimensional structure and active site was constructed based on homology with crystallographic coordinates of CYP2C5 and CYP2C9. A high degree of secondary structure homology for human, mouse, rat and rabbit CYP2E1 was demonstrated. The location of heme and the supporting alpha-helices was established. CYP2E1, CYP2C5 and CYP2C9 active sites are distinguished by pocket size and their amino acid residues composition. Key amino acid residues forming the active site channel and substrate-binding cavity are presented. Active site surface area and volume for CYP2E1, CYP2C5 and CYP2C9 were calculated.

Amino Acid Sequence↗

Computational model of the cockroach escape behavior: winner and losers in a population code.

I present a comprehensive biologically oriented computational model to account for the escape response of the cockroach on the ground. This model is an expansion of previous work that accounted only for discriminating left from right wind directions [Ezrachi et al. (1999) Biol Cybern 81: 89-99]. The model is composed of computational elements describing the biological processes taking place in the various neurons and includes input which emulates empirical data. With this model it is possible to obtain escape behavior that resembles natural behavior. The model is used to address an ongoing debate as to whether the cockroach's turn direction is determined by computations carried out by the entire neuronal population (PC) or rather by a "winner-take-all" (WTA) mechanism. I suggest that the computation mechanism that underlies the cockroach escape response is composed of both PC and WTA principles. Based on the properties of the suggested new mechanism I denote it a "Darwinian population code."

Animals↗

Cellular patterns in the inner retina of adult zebrafish: quantitative analyses and a computational model of their formation.

The mechanisms that control cellular pattern formation in the growing vertebrate central nervous system are poorly understood. In an effort to reveal mechanistic rules of cellular pattern formation in the central nervous system, quantitative spatial analysis and computational modeling techniques were applied to cellular patterns in the inner retina of the adult zebrafish. All the analyzed cell types were arrayed in nonrandom patterns tending toward regularity; specifically, they were locally anticlustered. Over relatively large spatial scales, only one cell type exhibited consistent evidence for pattern regularity, suggesting that cellular pattern formation in the inner retina is dominated by local anticlustering mechanisms. Cross-correlation analyses revealed independence between the patterns of different cell types, suggesting that cellular pattern formation may involve multiple, independent, homotypic anticlustering mechanisms. A computational model of cellular pattern formation in the growing zebrafish retina was developed, which featured an inhibitory, homotypic signaling mechanism, arising from differentiated cells, that controlled the spatial profile of cell fate decisions. By adjusting the spatial profile of this decaying-exponential signal, the model provided good estimates of all the cellular patterns that were observed in vivo, as objectively judged by quantitative spatial pattern analyses. The results support the hypothesis that cellular pattern formation in the inner retina of zebrafish is dominated by a set of anticlustering mechanisms that may control events at, or near, the spatiotemporal point of cell fate decision.

Animals↗

Use of computational models to reconstruct and predict trichloroethylene exposure.

In this study, a type frequently encountered by ATSDR, groundwater and surface-water contamination have occurred near the Gratuity Road site in the town of Groton, Massachusetts. A petitioned public health assessment for the Gratuity Road site identified the primary contaminants as trichloro-ethylene (TCE), 1,1,1-trichloroethane (TCA), hexavalent chromium (Cr+6), chromium (Cr), and lead (Pb) (ATSDR 1992). The health assessment also indicated that off-site residential groundwater wells had been contaminated with TCE and TCA. Because direct measures of historical exposure to TCE are unavailable for the Gratuity Road site, computational models were used to reconstruct and predict exposure to TCE. These computational models included environmental transport and exposure models. For the environmental transport models, numerical methods were used to approximate the equations of groundwater flow and contaminant transport. Results of using environmental transport models provided us with the spatial and temporal database necessary to conduct an exposure analysis. This database indicated that groundwater concentrations of TCE typically exceeded EPA's MCL of 5 ppb for TCE. The study demonstrated that although a hazardous waste site can be remediated, nearby populations may experience significant exposure because of historical contamination, which will not be captured by remediation activities. The exposure analysis used simulated concentrations of TCE predicted by environmental transport models. These concentrations were used to compare exposure to TCE from inhalation in a one-compartment model shower with exposure from ingestion of domestic water contaminated by TCE. The exposure model indicated that exposure to TCE by the inhalation route during showering is nearly identical to exposure by ingestion of domestic water supplies contaminated with TCE. As a result, entry by inhalation route is as important as entry by ingestion route when conducting exposure analyses of contamination from volatile organic compounds such as TCE.

Chromium↗

Computer model of an inhomogeneous human torso.

Based on the atlas of sectional human anatomy, a three dimensional computer model of a human torso, including four cavities of the heart (LV, RV, LA, RA), two lobes of the lung and the body surface, and a three dimensional model of the myocardium is introduced. The torso model, with more than 10,000 surface triangles, depicts the structures and appropriate proportions of the internal organs, especially of the heart. Algorithms for the model construction are given in detail and the validity of the models for the purpose of simulation research into the electrocardiogram is discussed.

Algorithms↗

Computer modeling of cerebral blood flow following internal carotid artery occlusion.

It is difficult to predict the adequacy of the collateral blood flow in patients who undergo internal carotid artery occlusion. In order to address this difficulty, the authors have created a computer model of the cerebral circulation. This model features individualized simulations of the Circle of Willis and its afferent and efferent branches which can predict changes in flow that will occur during internal carotid artery occlusion. Analysis of the flow predictions suggests that in patients with a symmetric Circle of Willis the anterior communicating artery is the major conduit of collateral blood supply. In patients with a small anterior communicating artery, the posterior communicating arteries become more important as sources of collateral flow, but they cannot supply as much flow as in the case of a normal anterior communicating artery. Sensitivity studies show that changes in the dimensions of each artery affect the flow throughout the system, such that the arteries in the cerebral circulation must be analyzed as a network rather than as isolated elements. This computer model of the cerebral circulation may help clinicians predict the adequacy of collateral blood supply in patients who undergo internal carotid artery occlusion.

Carotid Arteries↗

An image-based computational model of oscillatory flow in the proximal part of tracheobronchial trees.

A computational model of an oscillatory laminar flow of an incompressible Newtonian fluid has been carried out in the proximal part of human tracheobronchial trees, either normal or with a strongly stenosed right main bronchus. After acquisition with a multislice spiral CT, the thoracic images are processed to reconstruct the geometry of the trachea and the first six bronchus generations and to virtually travel inside this duct network. The facetisation associated with the 3D reconstruction of the tracheobronchial tree is improved to get a computation-adapted surface triangulation, which leads to a volumic mesh composed of tetrahedra. The Navier-Stokes equations associated with the classical boundary conditions and different values of the flow dimensionless parameters are solved using the finite element method. The airways are supposed to be rigid during rest breathing. The flow distribution among the set of bronchi is determined during the respiratory cycle. Cycle reproducibility and mesh size effects on the numerical results are examined. Helpful qualitative data are provided rather than accurate quantitative results in the context of multimodelling, from image processing to numerical simulations.

Bronchi↗