Taurolithocholate-induced inhibition of biliary lipid and protein excretion in the rat.

Taurolithocholate (TLC), a natural bile salt, induces selective impairment on canalicular membrane of the hepatocyte, which seems to be a major determinant of its cholestatic effect in experimental animals. In order to extend existing studies about the effects of TLC on bile secretion, we examined in TLC-treated rats the biliary excretion of compounds that are transported to canalicular membrane via vesicles, such as lipids and proteins. The single intravenous injection of TLC (3 mumol/100 g body wt.) inhibited transiently the biliary bile salt excretion, while the biliary excretion of lipids (i.e., cholesterol and phospholipids) and proteins remained inhibited even though the biliary excretion and composition of bile salts were normalized. Under such a condition, TLC also inhibited the transcellular vesicular pathway to the exogenous protein horseradish peroxidase entry into bile, without altering the paracellular biliary access of the protein. The hepatic uptake of horseradish peroxidase was unaffected by TLC-treatment. The results indicate that TLC can inhibit the biliary excretion of compounds that reach the canaliculus via a vesicular pathway, such as lipids and proteins, by a mechanism not related to a defective bile salt excretion. Possible explanations for these findings are discussed.     

The splanchnic metabolism of flavonoids highly differed according to the nature of the compound

The absorption and splanchnic metabolism of different flavonoids (namely quercetin, kaempferol, luteolin, eriodictyol, genistein, and catechin) were investigated in rats after an in situ perfusion of jejunum plus ileum (14 nmol/min). Net transfer across the brush border ranged widely according to the perfused compound (from 78% for kaempferol to 35% for catechin). This variation seems linked to the lipophilicity of a given flavonoid rather than to its three-dimensional structure. Except for catechin, conjugated forms of perfused flavonoids were also detected in the intestinal lumen, but the extent of this secretion depended on the nature of the perfused compounds (52% for quercetin to 11% for genistein). For some of the perfused aglycones, biliary secretion was an important excretion route: 30% of the perfused dose for genistein but only 1% for catechin. Thus the splanchnic metabolism of flavonoid is controlled by several factors: 1) the efficiency of their transfer through the brush border, 2) the intensity of the intestinal secretion of conjugates toward the mucosal and serosal sides, respectively, and 3) the biliary secretion of conjugates. These data suggested that the splanchnic metabolism of perfused flavonoids depends on the nature of the compound considered, which in turn influences their availability for peripheral tissues.     

Hypothalamic regulation of pituitary secretion of luteinizing hormone—II feedback control of gonadotropin secretion

A general mathematical model describing the biochemical interactions of the hormones luteinizing hormone releasing hormone (LHRH), luteinizing hormone (LH) and testosterone (T) in the male is presented. The model structure consists of a negative feedback system of three ordinary differential equations, in which the qualitative behavior is either a stable constant equilibrium solution or oscillatory solutions. A specific realization of the model is used to describe the experimental observations of pulsatile hormone release, its experimental suppression, the onset of puberty, the effects of castration, and several other qualitative and quantitative results. This model is presented as a first step in understanding the physicochemical interactions of the hypothalamic-pituitary-gonadal axis. Based on a paper presented at the conference “Mathematics in the Medical Sciences”, Dalhousie University, Halifax, Nova Scotia, June, 1976.     

Dependence upon bile volume of the biliary excretion of bromocresol green and amaranth in the anaesthetized rat.

The kinetics of the biliary excretion of both bromocresol green and amaranth are better described in terms of rate equations that are functions of the cumulative volume of bile excreted rather than of time. The rate of disappearance of bromocresol green from the liver also appears to depend on the volume of bile excreted rather than on time. It is proposed that bromocresol green, and probably also amaranth, rapidly equilibrates between the hepatic and biliary compartments as a result of reabsorption from the biliary tree and that the rate-limiting factor in the biliary excretion of these dyes is the removal of dye from the biliary tree by bulk flow. Six methods for the graphical presentation of excretion data are examined and their use in the characterization of the kinetics of an excretion system is discussed.     

Mathematical modelling of immobilized living yeast cell reactor for sugar bioconversion to ethanol

In the present work, a mathematical model was developed regarding the immobilized living yeast cell reactor for sugar bioconversion to ethanol. The model, composed of a system of ordinary differential equations (ODEs) enables the computation of the paramters involved in the steady state reactor behaviour. Comparing the values computed through the integration of this mathematical model with the experimental data, it has been shown its capacity to describe sufficiently accurate the steady state behaviour of the continuous fixed film bioconversion reactor.     

The role of albumin in the hepatic transport of bilirubin: studies in mutant analbuminemic rats

Bilirubin and other cholephilic organic anions are bound to albumin in the circulation; their hepatic uptake involves a carrier-mediated process. To investigate the possible role of serum albumin in the transhepatic transport of a cholephilic ligand, plasma clearance of radioactive bilirubin and its biliary excretion as well as its interaction with plasma proteins were compared between normal and mutant analbuminemic rats (NAR). With a tracer amount of 3H-labeled bilirubin, its plasma clearance and biliary excretion were comparable in both animal groups. However, the plasma clearance of a loading dose of the ligand was significantly increased and its biliary recovery was low in NAR as compared with normal animals. In accord with these findings in vivo, gel permeation chromatographic analysis revealed that the bilirubin binding capacity of serum proteins was significantly lower in NAR than in control animals. When bilirubin was administered to NAR as a mixture with equimolar albumin, its plasma disappearance was considerably decreased and its biliary recovery was increased. Similar effects were observed when albumin was replaced by an equimolar amount of glutathione S-transferases (ligandins). These observations indicate that, although ligand-protein interaction in the circulation is important for directing bilirubin to the plasma membranes of the hepatocyte, this mechanism is not specific for albumin.     

The effects of bromosulphophthalein, indocyanine green and bilirubin on the biliary excretion of methylmercury

The effects of three ligands for ligandin on the biliary excretion of methylmercury were investigated in male rats injected intravenously with 1.0 mg/kg Hg as Me203 HgCl. Bromosulphophthalein and indocyanine green inhibited the biliary excretion of methylmercury, while bilirubin had no such effect. None of the compounds tested which inhibited the biliary excretion of methylmercury decreased bile flow or changed the hepatic concentration of mercury of non-protein thiols. The possibility of the involvement of ligandin in the biliary excretion of methylmercury is discussed.     

Neuroprotection by the soy isoflavone, genistein, via inhibition of mitochondria-dependent apoptosis pathways and reactive oxygen induced-NF-κB activation in a cerebral ischemia mouse model

Recently, the treatment of stroke has focused on antioxidant therapies, where oxidative stress is implicated. The preventive and therapeutic potential of plant compounds on ischemic stroke has been intensively studied because many of them contain antioxidant properties. Genistein, one of the active ingredients in soybean, possesses many bioactivities. In this study, we investigated the potential neuroprotective effects of genistein and its possible mechanism of action in a cerebral ischemia mouse model. Mice were pretreated with genistein (2.5, 5, and 10mg/kg) or vehicle orally once daily for 14 consecutive days before transient middle cerebral artery occlusion was performed. Genistein at doses of 2.5-10mg/kg significantly reduced the infarct volume, improved the neurological deficit and prevented cell apoptosis after ischemia. In addition, genistein pretreatment was shown to inhibit the ischemia-induced reactive oxygen species (ROS) production, enhance the activities of antioxidant enzymes superoxide dismutase (SOD) and glutathione peroxidase (GPx), and decrease levels of malondialdehyde (MDA) in stroke mice. Moreover, genistein reversed the mitochondria dysfunction after ischemia, as evidenced by decreasing mitochondria ROS levels, preventing cytochrome C release to the cytoplasm and inhibiting caspase-3 activation. Western blotting showed ischemia activated the ROS-dependent nuclear factor-κB (NF-κB) signaling pathway, and genistein suppressed phosphorylation and activation of the NF-κB p65 subunit, as well as the phosphorylation and degradation of the inhibitor protein of κBα (IκBα). Our findings suggested that genistein has a neuroprotective effect in transient focal ischemia, which may involve regulation of mitochondria-dependent apoptosis pathways and suppression of ROS-induced NF-κB activation.     

Mathematical modeling of allergy and specific immunotherapy: Th1-Th2-Treg interactions

Regulatory T cells (Treg) have recently been identified as playing a central role in the immune response to allergens and during allergen-specific immunotherapy. We have extended our previous mathematical model describing the nonlinear dynamics of Th1-Th2 regulation by including Treg cells and their major cytokines. We hypothesize that immunotherapy mainly acts on the T cell level and that the decisive process can be regarded as a dynamical phenomenon. The model consists of nonlinear differential equations which describe the proliferation and mutual suppression of different T cell subsets. The old version of the model was based upon the Th1-Th2 paradigm and is successful in describing the “Th1-Th2 switch” which was considered to be the decisive event during specific immunotherapy. In recent years, however, the Th1-Th2 paradigm has been questioned and therefore, we have investigated a modified model in order to account for the influence of a regulatory T cell type. We examined the extended model by means of numerical simulations and analytical methods. As the modified model is more complex, we had to develop new methods to portray its characteristics. The concept of stable manifolds of fixed points of a stroboscobic map turned out to be especially important. We found that when including regulatory T cells, our model can describe the events in allergen-specific immunotherapy more accurately. Our results suggest that the decisive effect of immunotherapy, the increased proliferation of Treg and suppression of Th2 cells, crucially depends on the administration of high dose injections in short intervals right before the maintenance phase sets in. Empirical protocols could therefore be improved by optimizing this step of therapy.     

A Continuum Mathematical Model of the Developing Murine Retinal Vasculature

Angiogenesis, the process of new vessel growth from pre-existing vasculature, is crucial in many biological situations such as wound healing and embryogenesis. Angiogenesis is also a key regulator of pathogenesis in many clinically important disease processes, for instance, solid tumour progression and ocular diseases. Over the past 10–20 years, tumour-induced angiogenesis has received a lot of attention in the mathematical modelling community and there have also been some attempts to model angiogenesis during wound healing. However, there has been little modelling work of vascular growth during normal development. In this paper, we describe an in silico representation of the developing retinal vasculature in the mouse, using continuum mathematical models consisting of systems of partial differential equations. The equations describe the migratory response of cells to growth factor gradients, the evolution of the capillary blood vessel density, and of the growth factor concentration. Our approach is closely coupled to an associated experimental programme to parameterise our model effectively and the simulations provide an excellent correlation with in vivo experimental data. Future work and development of this model will enable us to elucidate the impact of molecular cues upon vasculature development and the implications for eye diseases such as diabetic retinopathy and neonatal retinopathy of prematurity.     

A model system for investigating the biliary excretion of an anion in the rat.

1. The biliary excretion of phenolphthalein di[35S]sulphate was studied in rats. 2. The conjugate was administered by continuous infusion at rates of 3, 4.5, 6, 9 and 12 mug/min, and kinetic analysis of the rate of biliary excretion was consistent with a two-compartment open-model system. 3. The results obtained after single injections of the ester were also consistent with the model. 4. An essential feature of the model is the presence of a compartment into which the ester may pass as an alternative to direct excretion via the bile. 5. It is suggested that such a compartment may be located within the liver.     

金雀异黄素对小鼠红白血病细胞系MEL的抑制作用

选择小鼠红白血病细胞系MEL作为金雀异黄素 (genistein)的作用对象 ,以探讨其对MEL的抑制作用及其可能的作用机理 .MTT和生长曲线表明 ,金雀异黄素对MEL细胞具有很强的生长抑制作用 (半数最大抑制效应浓度IC50 为 7 12mg L) .流式细胞术显示 ,金雀异黄素能够使MEL细胞发生G2 M期阻滞 ,但是诱导MEL凋亡作用并不明显 .DNA凝胶电泳发现金雀异黄素能够造成MEL细胞DNA的损伤 .联苯胺染色显示金雀异黄素对MEL细胞具有很强的诱导分化作用 ,且这种作用是时间和剂量依赖性的 .RT PCR显示 ,金雀异黄素能够抑制MEL细胞中原癌基因c myc的表达 .生物流变学检测发现 :金雀异黄素作用后 ,MEL细胞表面电荷密度减少、渗透脆性增大、细胞最大变形能力下降     

A partial differential equation model and its reduction to an ordinary differential equation model for prostate tumor growth under intermittent hormone therapy

Hormonal therapy with androgen suppression is a common treatment for advanced prostate tumors. The emergence of androgen-independent cells, however, leads to a tumor relapse under a condition of long-term androgen deprivation. Clinical trials suggest that intermittent androgen suppression (IAS) with alternating on- and off-treatment periods can delay the relapse when compared with continuous androgen suppression (CAS). In this paper, we propose a mathematical model for prostate tumor growth under IAS therapy. The model elucidates initial hormone sensitivity, an eventual relapse of a tumor under CAS therapy, and a delay of a relapse under IAS therapy, which are due to the coexistence of androgen-dependent cells, androgen-independent cells resulting from reversible changes by adaptation, and androgen-independent cells resulting from irreversible changes by genetic mutations. The model is formulated as a free boundary problem of partial differential equations that describe the evolution of populations of the abovementioned three types of cells during on-treatment periods and off-treatment periods. Moreover, the model can be transformed into a piecewise linear ordinary differential equation model by introducing three new volume variables, and the study of the resulting model may help to devise optimal IAS schedules.     

Role of the hepatocyte microtubular system in the excretion of bile salts and biliary lipid: implications for intracellular vesicular transport

The role of the hepatocyte microtubular system in the transport and excretion of bile salts and biliary lipid has not been defined. In this study the effects of microtubule inhibition on biliary excretion of micelle- and non-micelle-forming bile salts and associated lipid were examined in rats. Low-dose colchicine pretreatment had no effect on the baseline excretion of biliary bile salts and phospholipid in animals studied 1 hr after surgery (basal animals), but slightly retarded the excretion of tracer [14C]taurocholate relative to that of lumicolchicine-pretreated (control) rats. However, colchicine pretreatment resulted in a marked reduction in the excretion of 2 mumol/100 g doses of a series of four micelle-forming bile salts of differing hydrophilicity, but had no significant effect on the excretion of the non-micelle-forming bile salt, taurodehydrocholate. Continuous infusion of 0.2 mumol of taurocholate/(100 g.min) following 24 hr of biliary drainage (depleted/reinfused animals) resulted in physiologic bile flow with biliary excretion rates of bile salts, phospholipid, and cholesterol that were markedly inhibited (mean 33, 39, and 42%, respectively) by colchicine or vinblastine pretreatment. Excretion of tracer [14C]taurocholate also was markedly delayed by colchicine in these bile salt-depleted/reinfused animals. In contrast, colchicine did not inhibit bile salt excretion in response to reinfusion of taurodehydrocholate. Thus, under basal conditions, the microtubular system appears to play a minor role in hepatic transport and excretion of bile salts and biliary lipid. However, biliary excretion of micelle-forming bile salts and associated phospholipid and cholesterol becomes increasingly dependent on microtubular integrity as the transcellular flux and biliary excretion of bile salts increases, in both bile salt-depleted and basal animals. We postulate that cotransport of micelle-forming bile salts and lipids destined for biliary excretion, via an intracellular vesicular pathway, forms the basis for this microtubule dependence.     

Mathematical model of glucose–insulin homeostasis in healthy rats

According to the World Health Organization there are over 220 million people in the world with diabetes and 3.4 million people died in 2004 as a consequence of this pathology. Development of an artificial pancreas would allow to restore control of blood glucose by coupling an infusion pump to a continuous glucose sensor in the blood. The design of such a device requires the development and application of mathematical models which represent the gluco-regulatory system. Models developed by other research groups describe very well the gluco-regulatory system but have a large number of mathematical equations and require complex methodologies for the estimation of its parameters. In this work we propose a mathematical model to study the homeostasis of glucose and insulin in healthy rats. The proposed model consists of three differential equations and 8 parameters that describe the variation of: blood glucose concentration, blood insulin concentration and amount of glucose in the intestine. All parameters were obtained by setting functions to the values of glucose and insulin in blood obtained after oral glucose administration. In vivo and in silico validations were performed. Additionally, a qualitative analysis has been done to verify the aforementioned model. We have shown that this model has a single, biologically consistent equilibrium point. This model is a first step in the development of a mathematical model for the type I diabetic rat.     

Endotoxin-induced reduction in biliary indocyanine green excretion rate in a chronically catheterized rat model

Using a nonstressed chronically catheterized rat model in which the common bile duct was cannulated, we studied endotoxin-induced alterations in hepatic function by measuring changes in the maximal steady-state biliary excretion rate of the anionic dye indocyanine green (ICG). Biliary excretion of ICG was calculated from direct measurements of biliary ICG concentrations and the bile flow rate during a continuous vascular infusion of ICG. Despite significant elevations in mean peak serum tumor necrosis factor-alpha (TNF-alpha) concentrations (90.9 +/- 16.2 ng/ml), there was no effect on mean rates of bile flow or biliary ICG clearance after administration of 100 microg/kg endotoxin at 6 or 24 h. Significant differences from mean baseline rates of bile flow and biliary ICG excretion did occur after administration of 1,000 microg/kg endotoxin (mean peak TNF-alpha 129.6 +/- 24.4 ng/ml). Furthermore, when rats were treated with up to 16 microg/kg of recombinant TNF-alpha, there was no change in mean rates of bile flow or ICG biliary clearance compared with baseline values. These data suggest that the complex regulation of biliary excretion is not mediated solely by TNF-alpha.     

Prevention of neonatal hyperbilirubinaemia in non-human primates by Zn-protoporphyrin.

Non-human primates were used as a model of human neonatal hyperbilirubinaemia and its chemotherapeutic suppression. High levels of haem oxygenase activity were detected in the liver and the spleen of neonatal rhesus (Macaca mulatta) and cynomolgus (Macaca irus) monkeys. When 1-day-old neonatal animals were given a single injection of Zn-protoporphyrin (40 mumol/kg, subcutaneously), serum bilirubin levels declined to nearly normal adult levels within 24 h and remained suppressed throughout the postnatal period (12 days). This treatment inhibited the activities of haem oxygenase and biliverdin reductase in the liver and the spleen, without affecting that of the brain. Zn-protoporphyrin treatment did not alter the activity of brain biliverdin reductase or increase brain bilirubin levels. The biological disposition of Zn-protoporphyrin was examined by measuring the biliary and urinary excretion of the metalloporphyrin complex, as well as its uptake and deposition in blood cells and tissues. Biliary excretion of the metalloporphyrin was minimal (0.12% over a 28 h period), and no evidence was detected for the urinary excretion of Zn-protoporphyrin. However, the concentration of metalloporphyrin in erythrocytes increased over the duration of the experiment (11 days) to such an extent that 46% of the administered compound was taken up by the cells. It appeared that the molecular basis for the sustained suppression of haem oxygenase activity and bilirubin production by Zn-protoporphyrin involved the release of the metalloporphyrin in the normal process of the degradation of fetal erythrocytes. The scope of the biological activity of Zn-protoporphyrin to alter haem-dependent processes appeared limited in nature, insofar as the microsomal contents of cytochrome P-450 and b5, as well as the aniline hydroxylase, were similar to those of the control animals. Also, the concentration of glutathione in the liver was unchanged. These findings suggest the potential usefulness of Zn-protoporphyrin in experimental and perhaps clinical conditions in which hyperbilirubinaemia occurs.     

Influence of microenvironmental conditions on hybridoma cell growth inside the alginate-poly-l-lysine microcapsule

A mathematical model was formulated to describe hybridoma cell growth within the alginate-poly-l-lysine (alginate-PLL) microcapsules during air-lift bioreactor cultivation. Model development was based on experimentally obtained data concerning the hybridoma cell counts, monoclonal antibody (mAb) production and the distribution of hybridoma cell growth within the microcapsules. The cell growth was modeled using a mean field approach expressed as Langevin class of equations for two different regions of alginate-PLL microcapsules, the alginate microcapsule core and the annular region between microcapsule core and membrane. In this paper we propose an influence of microenvironmental conditions on cell growth. The osmotic pressure changes in the Na-alginate liquefied annular region, as well as, the resistance effects of Ca-alginate hydrogel in the core region during the cell growth were incorporated into the model. Good agreement between the experimental data and model prediction values was obtained. The proposed model successfully predicted the impact of various microenvironmental restriction effects on the dynamics of cell growth and appears useful for further optimization of microcapsule design in order to achieve higher intra-capsule cell concentrations resulting in higher amounts of mAb produced.     

Towards a Mathematical Theory of Cortical Micro-circuits

The theoretical setting of hierarchical Bayesian inference is gaining acceptance as a framework for understanding cortical computation. In this paper, we describe how Bayesian belief propagation in a spatio-temporal hierarchical model, called Hierarchical Temporal Memory (HTM), can lead to a mathematical model for cortical circuits. An HTM node is abstracted using a coincidence detector and a mixture of Markov chains. Bayesian belief propagation equations for such an HTM node define a set of functional constraints for a neuronal implementation. Anatomical data provide a contrasting set of organizational constraints. The combination of these two constraints suggests a theoretically derived interpretation for many anatomical and physiological features and predicts several others. We describe the pattern recognition capabilities of HTM networks and demonstrate the application of the derived circuits for modeling the subjective contour effect. We also discuss how the theory and the circuit can be extended to explain cortical features that are not explained by the current model and describe testable predictions that can be derived from the model.