Analytical solution of phosphate kinetics for hemodialysis.

Chronic kidney diseases imply an ongoing need to remove toxins, with hemodialysis as the preferred treatment modality. We derive analytical expressions for phosphate clearance during dialysis, the single pass (SP) model corresponding to a standard clinical hemodialysis and the multi pass (MP) model, where dialysate is recycled and therefore makes a smaller clinical setting possible such as a transportable dialysis suitcase. For both cases we show that the convective contribution to the dialysate is negligible for the phosphate kinetics and derive simpler expressions. The SP and MP models are calibrated to clinical data of ten patients showing consistency between the models and provide estimates of the kinetic parameters. Immediately after dialysis a rebound effect is observed. We derive a simple formula describing this effect which is valid both posterior to SP or MP dialysis. The analytical formulas provide explanations to observations of previous clinical studies.

Functionality of the baroreceptor nerves in heart rate regulation.

Two models describing the afferent baroreceptor firing are analyzed, a basic model predicting firing using a single nonlinear differential equation, and an extended model, coupling K nonlinear responses. Both models respond to the the rate (derivative) and the rate history of the carotid sinus arterial pressure. As a result both the rate and the relative level of the carotid sinus arterial pressure is sensed. Simulations with these models show that responses to step changes in pressure follow from the rate sensitivity as observed in experimental studies. Adaptation and asymmetric responses are a consequence of the memory encapsulated by the models, and the nonlinearity gives rise to sigmoidal response curves. The nonlinear afferent baroreceptor models are coupled with an effector model, and the coupled model has been used to predict baroreceptor feedback regulation of heart rate during postural change from sitting to standing and during head-up tilt. The efferent model couples the afferent nerve paths to the sympathetic and parasympathetic outflow, and subsequently predicts the build up of an action potential at the sinus knot of the heart. In this paper, we analyze the nonlinear afferent model and show that the coupled model is able to predict heart rate regulation using blood pressure data as an input.

Modeling ventricular contraction with heart rate changes.

Recently, a mathematical model of the pumping heart has been proposed describing the heart as a pressure source depending on time, volume and flow. The underlying concept is based on a new two-step paradigm that allows separation between isovolumic (non-ejecting) and ejecting heart properties. The first step describes the ventricular pressure in the isovolumic ventricle. In the following step, the isovolumic description is extended with the ejection effect in order to embrace the pumping heart during actual blood ejection. The description of the isovolumic heart properties plays a crucial role in this paradigm. However, only a single isovolumic model has previously been used restricting the heart rate to 1 Hz. In this paper, a family of models describing the isovolumic contracting ventricle are critically examined. A characterization of what constitutes an optimal model is given and used as a criteria for choosing the optimal model in this family. Moreover, and this is indeed a point, the proposed model in this study is valid for arbitrary heart rates and based on experimental data. The model exhibits all major features of the ejecting heart, including how ventricular pressure and flow vary in time for various heart rates and how stroke volume and cardiac output vary with heart rate. The modeling strategy presented embraces the same steps and demarcations as those suitable for clinical examination whereby new experiments are suggested.

Valveless pumping in a fluid-filled closed elastic tube-system: one-dimensional theory with experimental validation.

An elastic rubber tube is connected with a stiffer rubber tube forming two halves of a torus and filled with water. Compressing one of the rubber tubes symmetrically and periodic at a point of asymmetry creates a remarkable unidirectional mean flow in the system. The size and the direction of the mean flow depend on the frequency of compression, the elasticity of the tubes, the compression ratio, and the type of compression with respect to time in a complicated manner. The system is modelled using a one-dimensional theory derived by averaging the Navier-Stokes equations ignoring higher order terms in a certain small quantity. The one-dimensional model is analysed partly analytically and partly numerically. A series of experiments on a physical realisation of the system are described. The theoretical findings and experimental results are compared; They show a remarkable agreement between the experiments and the predictions of the model. Frequencies at which the mean flow change direction are predicted numerically as well as analytically and the two results are compared.

Resumption of meiosis induced by meiosis-activating sterol has a different signal transduction pathway than spontaneous resumption of meiosis in denuded mouse oocytes cultured in vitro.

The sterol 4,4-dimethyl-5-cholesta-8,14,24-trien-3-ol (follicular fluid meiosis-activating sterol [FF-MAS]) isolated from human follicular fluid induces resumption of meiosis in mouse oocytes cultured in vitro. The purpose of this study was to examine the hypothesis that differential signal transduction mechanisms exist for FF-MAS-induced and spontaneous in vitro resumption of meiosis in mouse oocytes. Mouse oocytes were dissected from ovaries originating from mice primed with FSH 48 h before oocyte collection. Mechanically denuded germinal vesicle (GV) oocytes were in vitro matured in medium supplemented with hypoxanthine and FF-MAS or allowed to mature spontaneously; both groups were exposed to individual compounds known to inhibit specific targets in the cell. After 20-22 h of in vitro maturation, resumption of meiosis was assessed as the frequency of oocytes in GV breakdown (GVBD) stage. Pertussis toxin (2.5 microg/ml) did not influence resumption of meiosis in either group. Dibutyryl cyclic GMP (320 microM) inhibited FF-MAS-induced GVBD, but not spontaneous GVBD, whereas the subtype 5 phosphodiesterase-inhibitor zaprinast (50 microM) inhibited GVBD in both groups. Microinjection of the catalytic subunit of cAMP-dependent protein kinase into oocytes inhibited spontaneous GVBD, but not FF-MAS-induced GVBD. An inhibitor of cytoplasmic polyadenylation, cordycepin (80 microM), inhibited or retarded spontaneous GVBD to a further extent than it did FF-MAS-induced GVBD. Spontaneous GVBD was more sensitive to the histone H1 kinase-inhibitor olomoucine (250 microM) than was FF-MAS-induced GVBD. Addition of the mitogen-activated protein kinase (MAPK)-inhibitor PD 98059 (50 microM), phospholipase C-inhibitor U-73122 (10 microM), p21(ras)-inhibitor lovastatine (250 microM), and the src-like kinase inhibitor PP2 (20 microg/ml) inhibited FF-MAS-induced GVBD, but not spontaneous GVBD. Both MAPKs, extracellular regulated kinase (ERK) 1 and ERK2, were phosphorylated under FF-MAS-induced meiotic resumption, in contrast to spontaneous meiotic resumption, in which ERK1 and ERK2 phosphorylation occurred 2 h after GVBD. In the present study, we show that FF-MAS acts through an MAPK-dependent pathway, and we suggest that src-like kinase, p21(ras), and phosphoinositide signaling lie upstream of MAPK in the FF-MAS-activated signaling pathway. Clearly, striking pathway differences are present between spontaneous versus FF-MAS-induced meiotic resumption.

Describing the pumping heart as a pressure source.

The pumping heart is described by a new mathematical approach which considers the heart as a pressure source depending on time, volume and flow. This new approach allows a separation between isovolumic (non-ejecting) and ejecting heart properties. The computed results cover most of the features of the human ventricle during normal and altered vascular conditions. It is shown that the time-varying elastance concept is disqualified as an independent description of the heart, it follows from isovolumic heart properties and an ejection effect which consists of positive and negative effects of ventricular blood ejection.

Design of a discretely folded mini-protein motif with predominantly beta-structure.

Here we report the creation of a predominantly beta-structured mini-protein motif. The design target is based on the naturally occurring toxin hand (TH) motifs that are composed of four disulfide bonds and three loops that form a 'hand'. Analysis and subsequent modification of several generations of mini-proteins produced the final 29-residue mini-protein. The structured motif of this new mini-protein provides insight into the compensatory changes that result in the formation of a tightly packed hydrophobic core in a small, globular beta-structure motif. Additionally, this mini-motif represents a new, distinct surface topology for protein design and a valuable, yet compact, model system for the study of beta-sheet structure in water.

Activation of meiotic maturation in rat oocytes after treatment with follicular fluid meiosis-activating sterol in vitro and ex vivo.

Meiosis-activating sterols (MAS) have been found to induce meiotic maturation in mouse oocytes in vitro. In the present study we have extended these observations by investigating the effects of follicular fluid MAS (FF-MAS) on rat oocyte maturation in vitro and ex vivo. Rat oocytes freed from their follicles were cultured with FF-MAS (0 microM, 1 microM, 3 microM, 10 microM, 30 microM) for 22 h in a medium containing the phosphodiesterase inhibitor 3-isobutyl-1-methylxanthine (IBMX; 250 microM). A dose-dependent significant increase in germinal vesicle breakdown (GVB) was observed after adding FF-MAS to the culture medium in both cumulus-enclosed (CEO) and denuded (DO) oocytes. A time course study (0, 3, 8, 14, and 22 h) showed a significant increase in GVB after 14 h when DO and CEO were cultured in the presence of 10 microM FF-MAS + 250 microM IBMX. Furthermore immature rats were primed with eCG (20 IU) and 48 h later perfused ex vivo for 12 h in a recirculating system with either FF-MAS (0 microM, 10 microM, 30 microM, 60 microM), cholesterol (60 microM), or LH (0.2 microg/ml) in the presence of 200 microM IBMX, respectively. In addition, ovarian perfusion was carried out with FF-MAS (30 microM, 60 microM) or 0.2 microg/ml LH in the absence of IBMX. After 12 h, oocytes were freed from the ovaries and checked for GVB. By using the ex vivo perfused rat ovary, we found that FF-MAS, starting at 30 microM, was dose-dependently able to overcome IBMX-induced meiotic arrest leading to a comparable increase in GVB as was observed for LH. Furthermore, it was found that FF-MAS in the absence of IBMX was also able to induce meiotic maturation. Our data are consistent with the notion that the maturation-inducing effects of FF-MAS are mediated by different mechanisms compared to spontaneous maturation.

Autoradiographic localization of specific binding of meiosis-activating sterol to cumulus-oocyte complexes from marmoset, cow, and mouse.

The sterol, 4,4-dimethyl-5alpha-cholesta-8,14,24-trien-3beta-ol (FF-MAS), isolated from human follicular fluid, can induce resumption of meiosis in denuded and cumulus-enclosed mouse oocytes inhibited by hypoxanthine, IBMX, or dibutyric cyclic adenosine monophosphate. In this study the distribution of FF-MAS binding sites in denuded oocytes and in cumulus-oocyte complexes (COCs) was studied using light microscopic (LM) and transmission electron microscopic (TEM) autoradiography in marmoset, cow, and mouse oocytes. Denuded (n = 39) and cumulus-enclosed (n = 28) marmoset, cow, and mouse oocytes were cultured in the presence of [3H]FF-MAS with and without excess of unlabeled FF-MAS, respectively. In denuded oocytes LM autoradiography demonstrated specific binding to the oolemma and zona pellucida and, to some extent, the cytoplasm. In the nucleus, no specific binding of [3H]FF-MAS was demonstrated. In some COCs the labeling was dispersed throughout the zona pellucida, the oolemma, and the cytoplasm as well as the cumulus cells; whereas in others, only the outer part of the cumulus cells were labeled. TEM autoradiograms of denuded cow oocytes (n = 6) demonstrated that specific [3H]FF-MAS binding was closely related to the oolemma and that a low level of [3H]FF-MAS binding to cumulus cell remnants was present. In conclusion, specific binding of FF-MAS is predominant at the oolemma of denuded oocytes, suggesting the existence of a plasma membrane-associated molecule with affinity for FF-MAS (i.e., a putative FF-MAS receptor).

General compartmental models of the cardiovascular system.

A systematic discussion on linear as well as non-linear compartmental models of the cardiovascular system and its various feedback mechanism is given. Most of the results are independent of explicit functional expressions. The topological structure of the model is essential for the response to a local change in peripheral resistance. Inclusion of Parallel paths versus serial paths gives qualitatively different response. Global asymptotic stability follows from the general theory.

Meiosis-activating sterol-mediated resumption of meiosis in mouse oocytes in vitro is influenced by protein synthesis inhibition and cholera toxin.

To explore the possible signaling pathways of meiosis-activating sterol (MAS)-induced oocyte maturation and to elucidate whether the MAS pathway involves transcription or translation, arrested immature mouse oocytes were cultured with either the protein synthesis inhibitor cycloheximide or the heteronuclear RNA inhibitors alpha-amanitin or actinomycin D, respectively. Moreover, the possible involvement of a G protein-coupled receptor mechanism in MAS-mediated oocyte maturation was explored by influencing oocyte maturation with cholera toxin (CT). MAS-induced oocyte maturation was completely blocked by the addition of 50 microg/ml cycloheximide 4 h before the addition of MAS. Simultaneous addition of MAS and the protein synthesis inhibitor also significantly reduced the meiotic resumption compared to that in MAS-treated controls. In contrast, neither of the treatment regimens to inhibit transcription of DNA to RNA was observed to have any effect on the MAS-induced resumption of meiosis. CT was observed to inhibit MAS-induced, but not spontaneous, oocyte maturation in vitro, suggesting a putative involvement of G protein-coupled receptor mechanism in the MAS mode of action. In conclusion, protein synthesis was found to be an essential requirement for maintaining the oocytes' responsiveness to MAS-induced resumption of meiosis, in contrast to transcription.

Human oocyte maturation in vitro is stimulated by meiosis-activating sterol.

In-vitro studies in mouse oocytes have shown that the C-29 endogenously occurring sterol FF-MAS (follicular fluid meiosis-activating sterol) is a potent inducer of meiotic maturation leading to increased fertilization rates. We have used synthetic FF-MAS to induce meiotic maturation in immature human oocytes aspirated from polycystic ovarian syndrome patients. The patients were asked to give written consent to donate half of their aspirated oocytes to investigate the influence of culture conditions on maturation kinetics. The oocytes were aspirated from follicles 8-12 mm in diameter under ultrasound guidance after initial treatment with a gonadotrophin-releasing hormone agonist and s.c. injections of recombinant FSH for 3 days. The other half of the oocytes remained outside this present study. They were reserved for the patients' benefit and were fertilized with appropriate embryo stages being transferred. Fertilization and transfer were not attempted for the study oocytes. Synthetic sterol FF-MAS was added to the culture media at a concentration of 20 micromol/l and nuclear maturation was compared to a control group of oocytes cultured in media only supplemented with vehicle (TCM-199 supplemented with 0.2% ethanol v/v); thus no additional hormones, growth factors, serum or follicle fluid were added. In 31 cycles, oocytes were randomly allocated to one of seven treatment groups: fixed immediately upon aspiration (0 h group) or after in-vitro maturation culture in the presence or absence of FF-MAS for 22, 30 or 40 h respectively. A total of 81 oocytes were processed for light microscopy. The optimal timing of maturation was observed following 30 h of in-vitro culture, when 67% of FF-MAS-treated oocytes had completed nuclear maturation to the metaphase-II stage compared to 29% in the control group. The maturation time of 30 h appeared significantly superior to both 22 and 40 h, but only in the presence of FF-MAS. Cumulus expansion was most profound in the FF-MAS group after 30 h whereas all oocytes had shed the cumulus investment after 40 h. Our observations indicate that FF-MAS positively influences the absolute frequency and the kinetics of human oocytes undergoing nuclear maturation.

Uniquely folded mini-protein motifs.

Mini-proteins containing fewer than 40 amino acids provide simple model systems for studying protein folding and stability as well as serving as scaffolds for the rational design of new functional motifs. This article reviews current progress on the design and characterization of discretely folded mini-protein motifs.

Nuclear and cytoplasmic maturation of mouse oocytes after treatment with synthetic meiosis-activating sterol in vitro.

Synthetically produced meiosis-activating sterol, a sterol originally derived from follicular fluid (FF-MAS), induces meiotic maturation of mouse oocytes in vitro. We therefore compared FF-MAS-induced maturation of naked mouse oocytes arrested in prophase I by either hypoxanthine (Hx) or forskolin (Fo) with spontaneous maturation of naked oocytes. FF-MAS-treated oocytes overcame the meiotic block by Hx or Fo, although germinal vesicle breakdown was delayed by 11 h and 7 h, respectively. We also investigated the influence of FF-MAS on chromosome, microtubule, and ultrastructural dynamics in Hx-cultured oocytes by immunocytochemistry and electron microscopy. Similarly to spontaneously matured oocytes, chromosomes became aligned, a barrel-shaped spindle formed, and overall organelle distribution was normal in FF-MAS-matured oocytes. The number of small cytoplasmic asters was elevated in FF-MAS-treated oocytes. Although the number of cortical granules (CGs) was similar to that in spontaneously matured oocytes, the overall distance between CGs and oolemma was increased in the FF-MAS group. These observations suggest that the initiation of meiotic maturation in FF-MAS-treated oocytes in the presence of high cAMP levels leads to a delayed but otherwise normal nuclear maturation. FF-MAS appears to improve oocyte quality by supporting microtubule assembly and by delaying CG release, which is known to contribute to reduced fertilization.

Design strategies for the construction of independently folded polypeptide motifs.

In this paper we present a redesign strategy for the development of uniquely folded polypeptide motifs of less than 40 residues. These mini proteins are based on natural target domains, including the zinc finger domains (BBA motif)* and the disulfide-rich snake and scorpion toxins (BBB motif). These motifs are designed to act as the molecular framework for the construction of novel functional polypeptides. We will explore the structural determinants of the folded BBA motif, inspired by the zinc finger peptides, in relation to the redesign process.

Meiosis-activating sterol promotes resumption of meiosis in mouse oocytes cultured in vitro in contrast to related oxysterols.

The sterol 4,4-dimethyl-5alpha-cholesta-8,14,24-trien-3beta-ol (FF-MAS [follicular-fluid meiosis-activating sterol]) from human follicular fluid has recently been identified as a compound that induces the resumption of meiosis. FF-MAS and various oxysterols have been reported to transactivate the orphan receptor LXRalpha. The objective was to determine the biological activity of synthetic FF-MAS on the resumption of meiosis and final maturation of mouse oocytes in vitro. In order to evaluate whether LXRalpha might mediate FF-MAS action on the oocyte, we compared the capability of various compounds to activate LXRalpha-dependent transcription and to induce resumption of meiosis in the oocyte assay. Ovaries were isolated from immature mice primed with FSH 48 h before collection. Naked oocytes (NkO) and cumulus enclosed oocytes (CEO) were isolated from follicles. The oocytes were cultured in two groups, NkO and CEO, respectively, in media containing either 3 mM hypoxanthine, 5 microM IBMX, or 0.100 mM dbcAMP to maintain the oocytes in the germinal vesicle stage. The resumption of meiosis was assessed by the frequency of germinal vesicle breakdown (GVBD) after 24 h of in vitro culture. FF-MAS overcame the meiotic inhibition by hypoxanthine in both the NkO group and CEO group in a dose-dependent manner within the concentration range 0.07-7 microM. FF-MAS displayed similar potency in all inhibitory agents used. Also, FF-MAS significantly increased the formation of polar bodies in both the CEO and NkO group. The oxysterols 22(R)-hydroxycholesterol (a potent ligand for the LXRalpha receptor), 16-hydroxycholesterol, 25-hydroxycholesterol, and 27-hydroxycholesterol, as well as cholesterol, were tested without any significant effect on maturation compared to that of controls. Oxysterols and FF-MAS were observed to activate LXRalpha. In conclusion, the results reported here clearly demonstrate that synthetic FF-MAS exclusively is capable of mediating resumption of meiosis in vitro in both NkO and CEO irrespective of the inhibitory substance used. In contrast, the oxysterols and cholesterol had no significant biological activity on this oocyte function, and consequently we found no correlation between LXRalpha activation and meiosis stimulation.

Design and NMR analyses of compact, independently folded BBA motifs.

BACKGROUND: Small folded polypeptide motifs represented highly simplified systems for theoretical and experimental studies on protein structure and folding. We have recently reported the design and characterization of a metal-ion-independent 23-residue peptide with a beta beta alpha structure (BBA1), based on the zinc finger domains. To understand better the determinants of structure for this small peptide, we investigated the conformational role of the synthetic residue 3-(1, 10-phenanthrol-2-yl)-L-alanine (Fen) in BBA1. RESULTS: NMR analysis revealed that replacing the Fen residue of peptide BBA1 by either of the natural amino acids tyrosine (BBA2) or tryptophan (BBA3) resulted in conformational flexibility in the sheet and loop regions of the structure. This conformational ambiguity was eliminated in peptides BBA4 and BBA5 by including charged residues on the exterior of the beta hairpin designed to both select against the undesired fold and stabilize the desired structure. The evaluation of two additional peptides (BBA6 and BBA7) provided further insight into the specific involvement of the surface polar residues in the creation of well-defined structure in BBA4 and BBA5. The sequences of BBA5, BBA6 and BBA7 include only one non-standard amino acid (D-proline), which constrains a critical engineered type II' turn. CONCLUSIONS: Manipulation of residues on the exterior of small beta beta alpha motifs has led to the design of 23-residue polypeptides that adopt a defined tertiary structure in the absence of synthetic amino acids, increasing the availability and expanding the potential uses of the BBA motif. The importance of negative design concepts to the creation of structured polypeptides is also highlighted.

Modelling of the baroreflex-feedback mechanism with time-delay.

The cardiovascular system is considered. A direct modelling of the non-linear baroreflex-feedback mechanism, including time-delay, is developed based on physiological theory and empirical facts. The feedback model is then evaluated on an expanded, but simple, non-pulsatile Windkessel model of the cardiovascular system. The stability of the entire model is analyzed and the effect of the value of the time-delay is investigated and discussed. The time-delay may cause oscillations. A finite number of stability switches may occur dependent on the value of the time-delay. The location of these stability switches turns out to be sensitive to the value of the parameters in the model. We suggest a simple experiment to determine whether or not the time-delay is responsible for the 10 second Mayer waves. Data from an ergometer bicycle test is used for evaluation of the model.