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[A fast osmotic transition method for the study of pulmonary transcapillary exchange: theoretical model].

A theoretical model allowed the simultaneous determination of the reflexion coefficients of capillary membrane to small hydrophilic molecules and of the ratios of their permeability to filtration coefficient. This was applied to dilution curves obtained after injection of a hypertonic solution containing a vascular tracer. The calculated variables did not depend on the capillary exchange surface area.

Capillaries

Network proximity analysis as a theoretical model for identifying potential novel therapies in primary sclerosing cholangitis.

Primary Sclerosing Cholangitis (PSC) is a progressive cholestatic liver disease with no licensed therapies. Previous Genome Wide Association Studies (GWAS) have identified genes that correlate significantly with PSC, and these were identified by systematic review. Here we use novel Network Proximity Analysis (NPA) methods to identify already licensed candidate drugs that may have an effect on the genetically coded aspects of PSC pathophysiology.Over 2000 agents were identified as significantly linked to genes implicated in PSC by this method. The most significant results include previously researched agents such as metronidazole, as well as biological agents such as basiliximab, abatacept and belatacept. This in silico analysis could potentially serve as a basis for developing novel clinical trials in this rare disease.

Cholangitis, Sclerosing

Tryptic proteolysis of coupling factor-latent ATPase from mycobacterium phlei. Theoretical modeling of structure-function relationships.

Trypsin treatment of solubilized coupling factor-latent ATPase from Mycobacterium phlei alters its subunit structure and functional properties. This coupling factor exhibits ATPase activity following trypsin treatment. Concurrently, both the ability of the enzyme to rebind to membranes depleted of coupling factor and its capacity for coupled phosphorylation are lost. The native alpha (64 000 dalton) subunit undergoes limited proteolytic digestion, and the delta (14 000 dalton) subunit is partially lost. During the course of tryptic proteolysis, the coupling factor molecule may exist in one of ten unique structural state (e.g. the native, ATPase-inactive molecule exists in the alpha alpha alpha state). Rigorous analysis of the experimental data by theoretical modeling provided information concerning the intermediate structural states leading to the fully ATPase-activated alpha" alpha" alpha" state under different conditions of trypsin treatment. The theoretical models of structure-function relationships that best-represented the experimental data predicted that the native coupling factor molecule contains three copies of the alpha (64 000 dalton) form of the alpha subunit, that the alpha" (58 000 dalton) alpha subunit species contributes maximally and the alpha' (61 000 dalton) form about half-maximally to ATPase activity, that membrane rebinding ability is proportional to the number of native alpha subunits in the enzyme, and that at least one native alpha subunit/molecule is required for full expression of coupled phosphorylation. These results indicate an essential role for the alpha subunit in the regulation of ATPase activity and in the ability of the solubilized coupling factor to rebind to depleted membranes.

Adenosine Triphosphatases

A theoretical model for adhesion between cells mediated by multivalent ligands.

A theoretical model is developed for cell-to-cell binding by bivalent ligands that can bind to mobile receptors on the cell surfaces. Monovalent inhibitors that can bind either to receptors or ligands are also included. For symmetrical ligands, that is, ligands in which both binding sites are the same, it is shown that crosslinking of receptors on each cell will interfere with intercellular bridge formation. At equilibrium, such interference is not drastic, but if the crosslinks can form before the cells are brought into contact, crosslinking may greatly impede the rate of intercellular binding. Comparison is made with experiments, and the importance of receptor mobility is discussed. It is noted that ligands can also bind a cell to itself or to a surface.

Agglutination

Structure-informed theoretical modeling defines principles governing avidity in bivalent protein interactions.

In signaling cascades, signaling proteins often encode multiple domains or motifs, which presents the possibility for avidity -- where multivalent binding drastically increases interaction strength and duration. However, predicting and validating multivalent interactions that interact with avidity is a challenge. Here, we integrate mechanistic modeling, structure-based analysis, and experimental approaches as a framework for defining the conditions under which avidity plays a role. We explore the tandem SH2 domain family of interactions with bisphosphorylated partners as a multivalent archetype, which encompasses key secondary messengers in tyrosine kinase signaling networks. Theoretical modeling suggests that maximum avidity occurs with closely spaced tyrosine phosphorylation sites combined with moderate monovalent affinities - exactly around the innate range of SH2 domain affinity - or with phosphorylation sites separated by sufficiently flexible linkers. Surprisingly, despite sequence diversity, structure-based analysis showed relatively conserved three-dimensional spacing between SH2 domains across all tandem SH2 families, which we corroborate experimentally, suggesting evolutionary optimization for avidity interactions. The combination of structure-based analysis of domain spacing with available monovalent experimental data appears, along with iterative experimental refinement of biophysical parameters, can identify high affinity interactions of tandem SH2 domain recruitment to the EGFR C-terminal tail. Using these principles, we extended bivalent predictions into the full phosphoproteome space and structural parameterization of other partners of SH2 domain binding, providing resources and methods for more rapid expansion of bivalent analysis. These approaches lay the groundwork for larger utility in multivalent prediction and testing to help better understand protein interactions that drive cell signaling.

BLI

Structure-informed theoretical modeling defines principles governing avidity in bivalent protein interactions.

In signaling cascades, where domain-motif interactions tend to interact with relatively low affinity (allowing for reversibility), signaling proteins often encode multiple domains or motifs, which present the possibility of avidity - drastically increasing the interaction strength and duration as a result of multivalent binding. However, given the large combinatorial space, predicting and validating multivalent interactions that interact with avidity is a challenge. Here, we integrate mechanistic modeling, structure-based analysis, and experimental approaches as a framework for defining the conditions under which avidity plays a role. We explore the tandem SH2 domain family of interactions with bisphosphorylated partners as a multivalent archetype, which encompasses key secondary messengers in tyrosine kinase signaling networks. While certain multivalent interactions have been shown to be necessary in immune receptor recruitment of partners, bivalent recruitment of tandem SH2 domains more broadly is poorly understood. Theoretical modeling suggests that maximum avidity occurs with closely spaced or flexibly linked phosphotyrosine sites, combined with moderate monovalent affinities - exactly around the innate range of SH2 domain affinity. Surprisingly, despite sequence diversity, structure-based analysis showed remarkably conserved three-dimensional spacing between SH2 domains across all tandem SH2 families, which we corroborate experimentally, suggesting evolutionary optimization for avidity interactions. The combination of structure-based analysis of domain spacing with available monovalent experimental data appears to be sufficiently accurate to predict and rank order high affinity interactions of tandem SH2 domain recruitment to the EGFR C-terminal tail. These approaches lay the groundwork for larger utility in multivalent prediction and testing to help better understand protein interactions that drive cell signaling.

BLI

Hormone receptor mobility and catecholamine binding in membranes. A theoretical model.

[3H]-Catecholamine binding to intact cells, isolated cell membranes, and to several isolated macromolecules has been shown by several laboratories to be neither stereospecific nor inhibited by known beta-antagonists. Since additional evidence indicates that this binding is not an artifact (i.e. due neither to the binding of a catecholamine oxidation product nor hormone binding to a catabolic enzyme such as COMT), the question remains as to whether this represents binding to a bona fide membrane receptor. Because all ligands which bind strongly or compete for this binding possess a catechol group, one possible explanation is that the binding affinity is primarily determined by the catechol moiety, whereas the correct stereoisomer of the side chain is necessary to activate the receptor. Thus, although binding is a necessary condition for hormone action, the necessary and sufficient condition for activation of adenyl cyclase is both the catechol group and the correct stereoisomer of the side chain. A theoretical model is developed here to provide a quantitative basis for this hypothesis. This model extends the current concept of distinct subunits in the adenyl cyclase system by separating the receptors from the catalytic sites and placing them at separate locations within the membrane. Utilizing the spare receptor model of Furchgott, and the mobility of macromolecules within a "lipid sea," the appropriate equations to predict both hormone binding and enzyme activation are derived. Using the observed affinity constants from catecholamine binding studies, it is then shown that this model can predict the experimental observation and hence explain the apparent dichotomy arising from binding enzyme activation studies.

Animals

A theoretical model of the respiratory function of blood.

The model of the respiratory function of blood as outlined here is judged to be a powerful tool for the evaluation of the potential effects of changes in blood as well as tissue parameters upon the supply of oxygen to tissue. The erythrocyte-plasma disequilibria in lung and systemic capillaries which is a consequence of the slowness of plasma CO2 hydrolysis are not significant in terms of the delivery of oxygen to tissue, but result in slightly lower unloading of CO2 in the lungs compared to that which might occur at full equilibration. However, the effects might be of greater interest when relating pH values measured by in vivo sampling to actual values prevailing within the capillaries. The physiological importances of hyperventilation and elevated DPG levels in anemia cannot as yet be clarified. If anything, it appears that increased DPG is a compensatory mechanism to restore proper O2-Hb affinity in alkalosis, while the purpose for an alkalosis is not obvious.

Anemia

Presynaptic calcium currents and their relation to synaptic transmission: voltage clamp study in squid giant synapse and theoretical model for the calcium gate.

A voltage clamp study of the presynaptic terminal in squid stellate ganglion has given quantitative results relating inward Ca2+ current to presynaptic membrane potential and postsynaptic response to inward Ca2+ current. The results indicate an S-shaped curve for the relationship between presynaptic potential and Ca2+ current and a linear relationship between Ca2+ current and postsynaptic potential. A similar S-shaped curve was found for the time-dependent properties of the Ca2+ conductance. Based on these results a mathematical model was developed which accounts for the experimental results in this and previously published papers by other authors. The model suggests that five subunits are involved in the Ca2+ gate and that the subunits change noncooperatively from an inactive to an active form upon membrane depolarization.

Animals

The economic value of breast-feeding. Food and Agriculture Organization of the the United Nations.

A request from the Norwegian Ministry of Agriculture to the Food and Agriculture Organization of the United Nations (FAO) in 1973 led to a research project funded by the Government of Norway to examine the declining use of mother's milk in developing countries. Two consultants were appointed to compile information on the subject, to develop a theoretical model to illustrate the economic value of breastfeeding, and to study the situation in two developing countries, Ghana and the Ivory Coast. Lack of data was a problem in both countries, but estimates could be made, and some of the conclusions reached are the following. Breastfeeding is still the norm in both countries, yet if it were to increase in the Ivory Coast so that every infant were breastfed for two years the savings in national goods cost could amount to US$ 16 to 28 million annually. If it declined to the level of Paris in 1955 (chosen for comparison) the annual national cost would be between US$ 33 and 55 million. At the individual level, by breastfeeding rather than artificially feeding an infant for two years the average family in either country would save between US$ 600 and 730 in the cost of goods and time, plus any savings that might result from the avoidance of disease or malnutrition caused by artificial feeding. In Ghana, changes in the infant-feeding pattern due to rural-to-urban migration would cause only a 20-percent increase in formula imports, while import increases would be more than five times as great as this if the present severe restrictions were relaxed so that formula replaced only one percent of the potential national breast-milk production. A change to artificial feeding could possibly result in considerable population growth because of loss of the contraceptive effect (through lactation amenorrhoea) of breastfeeding. In-depth studies of the economics of breastfeeding present great difficulties and would probably not justify their high cost. The report suggests that studies be carried out to establish national infant-feeding patterns, to monitor how these change and determine the factors responsible for change, and to design appropriate intervention. The report recommends that governments assign the highest possible priority to the promotion of breast-feeding based on its already proven contribution to the health and well being of the child.

Breast Feeding

Bistable Mutation-Selection Equilibria and Violations of Fisher's Theorem in Tetraploids: Insights from Nonlinear Dynamics.

Polyploidy and whole genome duplication (WGD) are widespread biological phenomena with substantial cellular, meiotic, and genetic effects. Despite their prevalence and significance across the tree of life, population genetics theory for polyploids is not well developed. The lack of theoretical models limits our understanding of polyploid evolution and restricts our ability to harness polyploidy for crop improvement amidst increasing environmental stress. To address this gap, we developed and analyzed deterministic models of mutation-selection balance for tetraploids under polysomic (autotetraploid) and disomic (allotetraploid) inheritance patterns and arbitrary dominance relationships. We also introduced a new mathematical framework based on ordinary differential equations and nonlinear dynamics for analyzing the models. We find that autotetraploids approach Hardy-Weinberg Equilibrium 33% faster than allotetraploids, but the different tetraploid inheritance models show little differences in mutation load and allele frequency at mutation-selection balance. Our model also reveals two bistable points of mutation-selection balance for dominant alleles with biased mutation rates over a wide range of selection coefficients in the tetraploid models compared to bistability in only a narrow range for diploids. Finally, using discrete time simulations, we explore the temporal dynamics of allele frequency and fitness change and compare these dynamics to the predictions of Fisher's Fundamental Theorem of Natural Selection. While Fisher's predictions generally hold, we show that the bistable dynamics for dominant mutations fundamentally alter the associated temporal dynamics. Overall, this work develops foundational theoretical models that will facilitate the development of population genetic models and methodologies to study evolution in empirical tetraploid populations.

Fisher’s Fundamental Theorem

The influence of chromatin compactness on the stoichiometry of the Feulgen-Schiff procedure studied in model films. I. Theoretical kinetics and experiments with films containing isolated deoxyribonucleic acid.

Theoretical considerations on the expected kinetics of the course of the Feulgen-Schiff reaction show that the leveling off of the first part of the Feulgen hydrolysis curve can be explained by the gradual conversion of deoxyribonucleic acid (DNA) to apurinic acid (APA). In addition, depolymerization of DNA caused by the acid used for hydrolysis can account for the decline after a maximum is reached in this curve. With the aid of polyacrylamide model films containing DNA, a detailed study was made both of the process of purine liberation which results in the formation of APA and of the depolymerization processes which cause losses of stainable material. The liberation of purine bases was analyzed by ultraviolet absorbance measurements and by gel chromatography of the neutralized hydrolysing acid. APA concentration was monitored by following the loss of ultraviolet absorbance associated with the purine losses. The depolymerization process was followed by phosphorus determinations. The experimental results were found to be in accordance with the kinetics expected from the theoretical model.

Chemical Phenomena

The mobile receptor hypothesis in hormone action: a general model accounting for desensitization.

The characteristics of the hormone interaction with their cell receptors and of the related adenylate cyclase activation are complex. Among the theoretical models which have been proposed to account for this mechanism, the mobile or floating receptor model has been discussed (3-5). The purpose of this work is to deduce several particular models from the general mobile receptor model on the basis of thermodynamic considerations. The analysis of some of these models shows that the mobile receptor hypothesis contains in itself the little understood kinetic phenomenon of hormone desensitization.

Adenylyl Cyclases

Solvent effects on thiamin-enzyme model interactions. I. Interactions with tryptophan.

The solvent polarity dependence of the interaction between thiamin and tryptophan was studied by spectrophotometric methods. The ultraviolet (UV) data clearly indicate that the interaction is weakened when the complex is transferred from water to aqueous ethanol or aqueous dioxane. The interaction of thiamin and tryptophan could also be detected by fluorescence-quenching studies (excitation of tryptophan at 287 nm, maximum emission at 348 nm). Appropriate treatment of the quenching data allowed dissection into static and dynamic contributions. A pyrimidine derivative related to thiamin, both in its neutral and protonated states, was shown to interact with tryptophan by fluorescence techniques, but not by UV. A thiazolium model was shown to interact with tryptophan by UV but was an inefficient quencher of the tryptophan fluorescence. Theoretical models are presented to explain the solvent dielectric constant dependence of the association constant between tryptophan and thiamin. Both electrostatic and dispersion forces are found to contribute to the stability of the complex.

Binding Sites

The transport of esterified cholesterol in plasma high density lipoproteins of human subjects: a mathematical model.

The pattern of labeling of free and esterified cholesterol in the plasma high-density lipoproteins after an intravenous injection of [3H]-mevalonic acid has been examined in six human subjects with a variety of plasma lipoprotein phenotypes. Attempts have been made to fit these data to theoretical models of high-density lipoprotein esterified cholesterol transport constructed on the basis of previous experimental observation. The first model, which assumed that the high-density lipoprotein esterified cholesterol transport constructed on the basis of previous experimental observation. The first model, which assumed that the high-density lipoprotein esterified cholesterol comprised a single homogeneous pool, was incompatible with the observed data. The second model assumed a two-pool model in which all of the plasma esterified cholesterol was produced in a small, rapidly turning over subfraction of the high-density lipoproteins. From this pool it was assumed that esterified cholesterol was transferred to other lipoprotein fractions, including transfer to a larger and much more slowly turning over subfraction of the high density lipoproteins. The second model was quite compatible with the observed data. Furthermore, the calculated net transport of esterified cholesterol through the fast turning over pool was in a range similar to that reported elsewhere for whole plasma. It has been concluded that the two-pool model not only fits the experimental data, but also accords well with previously documented observations of plasma esterified cholesterol transport.

Adult