Activation of phosphate metabolism in cotyledons of Pharbitis nil in the early stage of germination as studied by multicompartmental analyis

A new computation method has been introduced into multicompartmentalanalysis, which saves computer time and gives good fitting parameterseven in complicated systems. This method was applied to theanalysis of phosphate metabolism in the cotyledons of Pharbitisnil during the early stage of germination. Soon after the startof imbibition, the metabolic flows of phosphate were initiatedby very small amounts of enzymes. Some enzymes involved in phosphorylation,RNA synthesis, and phospholipid synthesis were indicated asexisting in the seeds and as being activated from nonactiveforms during imbition. The activities of all phosphate metabolisms,except the breakdown of RNA, phospholipids and protein-boundphosphates, were activated about ten to hundred-fold after thestart of protein synthesis. The technique of multicompartmental analysis can be appliedto various physiological problems to estimate the quantitativeand systematic metabolic flows in any tissue. (Received July 5, 1973; )     

Mathematical model of biliary lipid secretion: a quantitative analysis of physiological and biochemical data from man and other species

We propose a simple mathematical model to account for the coupling of secretion rates of bile salts, lecithin, and cholesterol into bile. The model assumes that: 1) molecules of "biliary" lecithin and cholesterol enter a functional compartment located in the endoplasmic reticulum of the hepatocyte from which they are secreted into bile, and in the case of cholesterol, also catabolized to bile salts; 2) the rates at which lecithin and cholesterol enter the "secretory" compartment are regulated independently by feedback loops that control their synthesis and/or uptake; 3) lecithin secretion is coupled by an unknown transport mechanism, possibly micellar or vesicular, to the flux of bile salts passing through the compartment; 4) cholesterol secretion is coupled by a similar mechanism to lecithin secretion and not to bile salt secretion directly; and 5) bile salt synthesis is proportional to the cholesterol content of the compartment. The model predicts that in the steady state the dependences, lecithin secretion vs bile salt secretion; cholesterol secretion vs lecithin secretion; and cholesterol secretion vs bile salt secretion, will all have the form of rectangular hyperbolae. Four independent parameters related to the postulated mechanisms of biliary lipid synthesis, uptake, and transport determine the quantitative features of these hyperbolae. These four "secretion parameters" also determine how the biliary lipid composition of hepatic and "fasting" gallbladder bile varies with bile salt secretion rate. A quantitative analysis of biochemical and physiological data on biliary lipid secretion in rat, dog, and man confirms the general predictions of the model. Deductions of the secretion parameters are made for each species and are compared with other relevant data on biliary lipid metabolism. From this analysis, we offer new insights into: i) the species differences in biliary lipid secretion and bile composition; ii) the influence of obesity on biliary lipid secretion in man; and iii) the causes of cholesterol super-saturation in fasting gallbladder bile.     

Quantitative aspects of free fatty acid metabolism in the fasted rat

Palmitate-1-(14)C was injected intravenously into unanesthetized, fasted rats. Disappearance of tracer from plasma free fatty acids was studied. A large component of free fatty acid (FFA) recycling was directly demonstrated by reinjection experiments. The latter studies also indicated the existence of an unidentified, rapidly turning over polar lipid in plasma which was synthesized from palmitate-(14)C. The appearance of (14)C in hepatic and extrahepatic triglycerides, in other esters, and in respired CO(2) was also followed. The data were analyzed using a multicompartmental model and a digital computer. Only a small fraction of the triglycerides formed in liver was derived directly from plasma free fatty acids. The major portion of net triglyceride formation appeared to be by way of an intermediate nontriglyceride ester pool which turned over relatively slowly compared to plasma free fatty acids. Initial approximations are as follows ( micromoles of fatty acid per min per 100 g body weight): net free fatty acid mobilization (irreversible disposal) = 2.4; hepatic triglyceride formation directly from plasma free fatty acid = 0.1; total hepatic lipid formation from plasma free fatty acids = 0.5; oxidation of free fatty acids to CO(2) = 0.8; percentage of respired CO(2) from direct oxidation of fatty acids = 12%; extrahepatic triglyceride formation directly from fatty acids = 0.4; total extrahepatic lipid formed directly from fatty acids = 1.2.     

Stochastic compartmental model with branching particles

A multi-compartmental model with particles producing offspring according to the Markov branching process has been studied. Explicit results are given for the two-compartmental system and for irreversible general multicompartmental systems. The known models in stochastic compartmental analysis are shown to be particular cases of this model and applications are cited.     

Methodological aspects of the optimal use of combined chemo- and immunotherapy

Methodical aspects of developing rational schemes of combined use of antibiotics and immunomodulators are discussed. Chemotherapeutic drugs are synergists of the factors of nonspecific resistance i. e. enzymes, cationic proteins, etc. However, prediction of the effect of both etiotropic agents and immunomodulators on resistance and immunity is rather complicated. A system for estimating efficacy of combined chemo- and immunotherapy based on multifactorial analysis is described. The main steps of the system are the following: choice of the quality criteria, determination of the experimental factors and levels, choice of the experimental design, performance of the experiment, computer processing of the results, construction of a polynomial statistic model and solution of the therapy problems. The method is universal and applicable to any combination of chemotherapeutics and immunomodulators.     

The evolution of multicompartmental genomes in viruses

The genetic information of many viruses is divided between separately encapsidated nucleic acid molecules. A simple evolutionary model is constructed to explain this phenomenon. All multicompartmental viruses infect plants, and most are RNA viruses. The former fact may be due to the high transmission multiplicities enjoyed by plant viruses. The latter may be due to the low replication fidelity of RNA, although another explanation is also offered. The logic of the analysis is contrasted with that of previous explanations. In particular, this paper proceeds from a "selfish DNA" viewpoint. It is not necessary to suppose that the division of the genome fills any adaptive function for the virus. The theory makes testable predictions about the parameters of multicompartmental viruses.     

Chylomicron apoprotein localization within rat intestinal epithelium: studies of normal and impaired lipid absorption.

Monospecific antisera were produced to two chylomicron apoproteins (apoB, apoA-I) and utilized for indirect immunofluorescent localization of these apoproteins within rat intestinal epithelium during normal and impaired lipid absorption. Isolated intestinal epithelial cells prepared after different periods of lipid absorption from in situ intestinal segments revealed a rapid increase in fluorescence for both apoproteins that filled the entire apical portion of the cell. Prolonged lipid absorption for as long as 5 hr demonstrated sustained immunofluorescence and gave no indication of a depletion of the intestinal mucosa for either apoprotein during normal lipid absorption. [(3)H]Leucine incorporation into mesenteric lymph chylomicron apoproteins showed a linear decrease in specific activity of total chylomicron protein as well as apoB over 4 hr of a continuous lipid infusion indicating sustained active apoprotein synthesis during prolonged lipid absorption. Acetoxycloheximide, a potent inhibitor of protein synthesis, was employed to determine the dynamics of chylomicron apoproteins during an experimental condition of impaired lipid absorption. In animals with inhibited protein synthesis, fluorescence for both apoproteins was present early in the course of lipid absorption; however, at 60 min after the onset of lipid absorption, fluorescence for both apoproteins was absent. Fluorescence for both apoproteins returned during the recovery of protein synthesis. The present studies have confirmed previous results that localized two chylomicron apoproteins within intestinal epithelial cells. The present studies extend these observations and disclose a rapid and sustained synthesis of these apoproteins during prolonged chylomicron formation. During an experimental condition of impaired protein synthesis there was a marked reduction in the mucosal content of both apoA-I and apoB. These results are the first demonstration of impaired mucosal apoprotein synthesis during an experimental model of impaired lipid absorption.     

Analysis and simulation of hollow-fiber bioreactor dynamics

A flexible and economical computer simulation model for the process analysis, parameter prediction, and optimal design of hollow-fiber biochemical reactors (HFBRs) has been developed. The validity and predictive capability of the HFBR simulator was successfully tested with two independent laboratory case studies. Of particular interest are the transient transport and bioconversion mechanisms including the effect of radial mass convection on the substrate uptake in the lumen. The portable computer code is an efficient tool to aid in theoretical and experimental investigations. The underlying principles used for the model development are applicable to a broad family of (membrane) bioreactors.     

Dipalmitoylphosphatidylcholine membranes modified with zeaxanthin: numeric study of membrane organisation

The model of a dipalmitoylphosphatidylcholine (DPPC) bilayer containing a xanthophyll pigment zeaxanthin (ZEA) is proposed. The model is based on the ten-state Pink-Green-Chapman model of a lipid monolayer. The Monte Carlo method of computer simulation has been applied. Our model of the lipid membrane consists of two lipid monolayers with ZEA molecules spanning the lipid bilayer. The concentration of ZEA molecules is assumed to be conserved. Within the model, the interactions between lipid monolayers in a bilayer exist through ZEA molecules only. The experimental data concerning the aggregation of ZEA in DPPC from the literature and from our research were applied as a criterion to fit the model parameters. The model gives the dependences of the main phase transition temperature on ZEA/DPPC molar ratio, the percentage of ZEA in a monomeric form on ZEA/DPPC molar ratio and on temperature. The dependences obtained within the model and the experimental ones are in qualitative agreement. The influence of intermolecular interaction parameters on ZEA aggregation has been discussed. The differences between the model and the experimental results concerning mainly the pattern of ZEA aggregation have been discussed. Analyses of the lipid microconfiguration allow to advance the hypothesis concerning the influence of ZEA on the membrane permeability.     

Determination of kinetic parameters of apolipoprotein B metabolism using amino acids labeled with stable isotopes.

The use of amino acids labeled with stable isotopes represents a relatively new approach for determining kinetic parameters of apolipoprotein metabolism; thus, several aspects of experimental protocols need to be defined. The aims of the present study were to determine whether a) different amino acid tracers or b) different methods of tracer administration affected apolipoprotein (apo) B kinetic parameters obtained by multicompartmental modeling, and c) to compare very low density lipoprotein (VLDL)-apoB metabolic parameters determined by multicompartmental modeling with those estimated by linear regression or by monoexponential analysis. [1-13C]leucine and [15N]glycine were given either as bolus injections or as primed constant infusions. A bolus of one amino acid was administered simultaneously with a primed constant infusion (8 h) of the other amino acid into four healthy normolipidemic subjects (age 23.0 +/- 1.4 yr; BMI 20.9 +/- 0.9 kg.m-2). VLDL-, intermediate density lipoprotein (IDL)-, and low density lipoprotein (LDL)-apoB enrichments were followed over 110 h. For subsequent analysis these values were converted to tracer/tracee ratios. Using the multicompartmental model, the fractional catabolic rate (FCR) for VLDL-apoB was estimated to be 0.36 +/- 0.09 h-1 after the administration of the tracer as a primed constant infusion and 0.35 +/- 0.07 h-1 when the tracer was administered as a bolus. The values for VLDL-apoB production were 14.6 +/- 6.5 mg.kg-1.d-1 and 14.1 +/- 5.4 mg.kg-1.d-1, respectively. The corresponding values for LDL-apoB were 0.027 +/- 0.016 h-1 (0.026 +/- 0.018 h-1) for the FCR and 10.5 +/- 3.7 mg.kg-1.d-1 (10.4 +/- 3.8 mg.kg-1.d-1) for the production following administration of the tracer as a primed constant infusion and a bolus, respectively. Approximately 47% of VLDL-apoB ultimately reached the LDL fraction via the VLDL-IDL-LDL pathway. Thirty-five percent of LDL-apoB did not originate from this cascade pathway, but was shunted from a rapidly turning over VLDL compartment directly into the LDL fraction. While there was some variation between individuals, VLDL-apoB and LDL-apoB parameters derived from the bolus and the primed constant infusions showed no significant differences and were closely correlated. Metabolic parameters were also independent of the two amino acids tested. Although values for FCRs of VLDL-apoB obtained from linear regression (0.36 +/- 0.19 h-1) or monoexponential analysis (0.50 +/- 0.36 h-1) did not differ significantly from those obtained by the multicompartmental model, there was considerable variation and no significant correlation in a given individual.(ABSTRACT TRUNCATED AT 400 WORDS)     

Bile acid production in human subjects: rate of oxidation of [24,25-3H]cholesterol compared to fecal bile acid excretion

Bile acid production has been quantitated in seven subjects by methods that compare the results of two independent approaches, namely, quantitation of cholesterol side-chain oxidation and fecal bile acid excretion. Six hypertriglyceridemic (HT) subjects and one normolipidemic control were studied by both techniques. A further control subject was studied by the cholesterol side-chain oxidation method alone. Cholesterol side-chain oxidation was quantitated by measuring the appearance of 3H2O after intravenous administration of [24,25-3H]cholesterol, using multicompartmental analysis of plasma cholesterol and [3H]water specific activity. Body water kinetics were independently defined by use of oral D2O. Two HT subjects were restudied while they were taking cholestyramine, 16 g/day. In all ten studies, multicompartmental analysis closely simulated the observed appearance of 3H2O. Values obtained for bile acid production suggest that cholesterol oxidation, or bile acid input, was significantly greater than fecal bile acid output in the HT subjects (P less than 0.05). Cholesterol side-chain oxidation rates in the two normal subjects were lower than those encountered in HT subjects, being similar to published values for normal subjects both for bile acid synthesis as determined by isotope dilution kinetics and fecal bile acid excretion. Studies conducted with two, synthetically different, preparations of [24,25-3H]cholesterol indicated that, in one of the two preparations, approximately 20% of the tritium label was at positions proximal to C24. In the other preparation examined, all of the tritium was located at, or distal to, C24. Further studies revealed that 0.055-0.24% of the dose was present as labile tritium by virtue of its appearance as 3H2O following in vitro incubation with human plasma. Provided these isotope effects are taken into account, multicompartmental analysis of plasma [24,25-3H]cholesterol and body water appears to be a useful technique for quantitating cholesterol oxidation in human subjects.     

Mechanism of O-antigen distribution in lipopolysaccharide.

O-antigen units are nonuniformly distributed among lipid A-core molecules in lipopolysaccharide (LPS) from gram-negative bacteria, as revealed by polyacrylamide gel electrophoresis in sodium dodecyl sulfate; the actual distribution patterns are complex, multimodal, and strain specific. Although the basic biochemical steps involved in synthesis and polymerization of O-antigen monomers and their subsequent attachment to lipid A-core are known, the mechanism by which specific multimodal distribution patterns are attained in mature LPS has not been previously considered theoretically or experimentally. We have developed probability equations which completely describe O-antigen distribution among lipid A-core molecules in terms of the probability of finding a nascent polymer (O antigen linked to carrier lipid) of length k (Tk) and the probability that a nascent polymer of length k will be extended to k + 1 by polymerase (pk) or transferred to lipid A-core by ligase (qk). These equations were used to show that multimodal distribution patterns in mature LPS cannot be produced if all pk are equal to p and all qk are equal to q, conditions which indicate a lack of selectivity of polymerase and ligase, respectively, for nascent O-antigen chain lengths. A completely stochastic model (pk = p, qk = q) of O-antigen polymerization and transfer to lipid A-core was also inconsistent with observed effects of mutations which resulted in partial inhibition of O-antigen monomer synthesis, lipid A-core synthesis, or ligase activity. The simplest explanation compatible with experimental observations is that polymerase or ligase, or perhaps both, have specificity for certain O-antigen chain lengths during biosynthesis of LPS. Our mathematical model indicates selectively probably was associated with the polymerase reaction. Although one may argue for a multimodal distribution pattern based on a kinetic mechanism i.e., varying reaction parameters in space or in time during cell growth, such a model requires complex sensory and regulatory mechanisms to explain the mutant data and mechanisms for sequestering specific components of LPS biosynthesis to explain the distribution pattern in normal cells. We favor the simple alternative of enzyme specificity and present generalized equations which should be useful in analysis of other analogous biochemical systems.     

Subsite mapping of enzymes. Use of subsite map to simulate complete time course of hydrolysis of a polymeric substrate.

In this paper we extend our earlier work on subsite mapping and show that our model for depolymerase action can be used to accurately predict product ratios vs the extent of reaction when a polymer is hydrolyzed. The experimental product ratios for Bacillus amyloliquefaciens α-amylase acting on reducing end-labeled ¹⁴C-maltodextrins ranging in chain length 3 to 10 are reported. These data and Michaelis parameters are used with a depolymerase computer model (J. D. Allen, 1977, Ph.D. thesis, University of Arkansas; J. D. Allen and J. A. Thoma, 1976, Biochem. J.159, 105) to compute an optimized subsite map. The depolymerase computer model generates a 10-subsite map for B. amyloliquefaciens α-amylase with the catalytic site located to the left of subsite 7. The binding affinities of the subsites are then used as the sole input in another computer program to quantitatively predict the mole fraction of products vs the extent of hydrolysis for substrates of varying chain length. Excellent agreement is obtained between the computed and experimental data for seven maltodextrins examined.     

Modeling the system dynamics for nutrient removal in an innovative septic tank media filter

A next generation septic tank media filter to replace or enhance the current on-site wastewater treatment drainfields was proposed in this study. Unit operation with known treatment efficiencies, flow pattern identification, and system dynamics modeling was cohesively concatenated in order to prove the concept of a newly developed media filter. A multicompartmental model addressing system dynamics and feedbacks based on our assumed microbiological processes accounting for aerobic, anoxic, and anaerobic conditions in the media filter was constructed and calibrated with the aid of in situ measurements and the understanding of the flow patterns. Such a calibrated system dynamics model was then applied for a sensitivity analysis under changing inflow conditions based on the rates of nitrification and denitrification characterized through the field-scale testing. This advancement may contribute to design such a drainfield media filter in household septic tank systems in the future.     

Estimating kinetic constants from single channel data.

The process underlying the opening and closing of ionic channels in biological or artificial lipid membranes can be modeled kinetically as a time-homogeneous Markov chain. The elements of the chain are kinetic states that can be either open or closed. A maximum likelihood procedure is described for estimating the transition rates between these states from single channel data. The method has been implemented for linear kinetic schemes of fewer than six states, and is suitable for nonstationary data in which one or more independent channels are functioning simultaneously. It also provides standard errors for all estimates of rate constants and permits testing of smoothly parameterized subhypotheses of a general model. We have illustrated our approach by analysis of single channel data simulated on a computer and have described a procedure for analysis of experimental data.     

Contributions to the treatment of tracer distribution equations in multicompartmental systems

Summary A tracer kinetic method is outlined for the treatment of multicompartmental non steady-state systems. Metabolic rates are considered as consisting of two components: one of them (exchange) is balanced by a reverse process of the same rate, and the other (transport) results in concentration change. Assuming the transport rates to be known, the method allows of excluding a lot of logically possible compartmental models as inconsistent with the experimental data. Thus the real compartment structure of the system can be approached.     

Biogenesis of lipid droplets--how cells get fatter

Lipid droplets are discrete organelles present in most cell types and organisms including bacteria, yeast, plants, insects and animals. Long considered as passive storage deposits, recent cell biology, proteomic and lipidomic analysis show that lipid droplets are dynamic organelles involved in multiple cellular functions. They have a central function in lipid distribution to different membrane-bound organelles and serve not only as main reservoirs of neutral lipids such as triglycerides and cholesterol but in addition, contain structural proteins, proteins involved in lipid synthesis and transmembrane proteins. A detailed model for how transmembrane proteins such as SNARE proteins can exist in lipid droplets is proposed.     

Glucose: a possible intermediate in the oxidation of the side chain of cholesterol in resting and stimulated rats

The effect of repeated muscular contraction on the rate of oxidation of the side chain of cholesterol was studied in anesthetized rats. The animals received an intravenous pulse-label injection of either cholesterol-26-(14)C, incorporated into rat plasma lipoproteins, or bicarbonate-(14)C. In half the animals of each group, the hind legs were repeatedly stimulated by electrical impulses. A multicompartmental analysis was attempted, based on the disappearance curve of plasma free cholesterol-(14)C and on the excretion rate of expired (14)CO(2), as well as on previously reported rates of bile acid and adrenal steroid secretion. The rate of expired (14)CO(2) originating from cholesterol-26-(14)C was much less than that predicted by the digital computer analysis; cholesterol degradation could not be evaluated since the data were incompatible with a model that assumes direct oxidation of the side chain to CO(2). A revised model was postulated in which an important fraction of the side chain of cholesterol would be converted to CO(2) only after previous conversion to glucose. Direct measurement of plasma glucose-(14)C after the injection of cholesterol-26-(14)C supported this hypothesis.     

Synthesis of lipid A analogs: achievements and perspective

Data on the synthesis of analogues of lipid A, a biologically active fragment of gram-negative bacteria's lipopolysaccharides, are summarized. Main types of the compounds obtained are systematized, and problems of the synthesis of various parts of the molecule considered. The results of studying biological activity of lipid A analogues are discussed, which led to some conclusions on the structure-function relation. Perspectives of further studies are briefly outlived.