Mechanismen der Caveolin-Genregulation in neuralen Zellsystemen

Caveolae sind vesikuläre Invaginationen der eukaryontischen Zellmembran, die bei einer Vielzahl zellbiologischer Prozesse eine bedeutende Rolle spielen. Die strukturellen und funktionellen Hauptbestandteile der Caveolae sind die Caveolin-Proteine, welche von drei homologen Genen (Caveolin-1,-2,-3) kodiert werden. Die Caveoline stellen die Struktur-Organisatoren der Caveolae dar, und regulieren direkt die Aktivität von zahlreichen Caveolae-assoziierten Rezeptorproteinen und Signalmolekülen. Oftmals werden die pleiotropen Effekte der Caveoline über eine Veränderung der Caveolin-Genexpressionsstärke moduliert. In der vorliegenden Arbeit wurden drei unterschiedliche biologische Steuerfaktoren identifiziert, unter deren Kontrolle die Caveolin-Genexpression in neuralen Zellsystemen steht. Bei diesen Faktoren handelt es sich um das Steroidhormon Oestrogen und seine Rezeptoren, den Wachstumsfaktor TGFa und den sekundären Botenstoff zyklisches AMP (cAMP). Oestrogen wirkt über die Aktivierung von Oestrogen-Rezeptoren (ERs) im zentralen Nervensystem in der Regel als neurotropher Faktor. In der vorliegenden Arbeit konnte erstmalig gezeigt werden, daß in humanen Neuroblastom-Zellen (SK-N-MC) die stabile, rekombinante Expression des ERa-Subtyps zu einer drastischen Reduktion der Caveolin-1/-2-Transkription führt, und daß in der Folge die zelluläre Caveolin-Biosynthese eingestellt wird. Eine Analyse des Caveolin-1-Gens ergab, daß einhergehend mit der Inaktivierung der Caveolin-1-Transkription eine Vielzahl der im Promoter enthaltenen CpG-Dinukleotide methyliert vorliegen. Durch pharmakologische Inhibition der nukleären DNA-Methyltransferasen sowie der Histon-Deacetylasen konnte die Caveolin-1-Transkription teilweise wiederhergestellt werden. Diese Befunde lassen auf die Existenz eines DNA-Methylierungs-abhängigen Stilllegungsmechanismus der Caveolin-Genexpression durch ERa schließen. Dagegen führte die Überexpression des ERb-Subtyps in SK-N-MC-Zellen zu keiner Veränderung der Caveolin-1/-2-Expression. Interessanterweise wurde die supprimierende Wirkung des ERa durch die gleichzeitige Überexpression des ERb vollständig aufgehoben. Der mitogene Wachstumsfaktor TGFa wurde als zweites extrazelluläres Signalmolekül identifiziert, welches eine Reduktion der Caveolin-1/-2-Genexpression bewirkt. In primären kortikalen Astrozyten konnte gezeigt werden, daß TGFa seine supprimierende Wirkung auf die Caveolin-1-Expression partiell über die Aktivierung des PI3-Kinase-abhängigen Signalweges vermittelt. Zudem wurde die supprimierende Wirkung von TGFa durch einen Inhibitior der Histon-Deacetylasen relativiert. Daher scheinen sowohl für den ERa als auch für TGFa epigenetische Prozesse bei der Suppression der Caveolin-1-Genexpression eine entscheidende Rolle zu spielen. Intrazellulär wirkte neben der PI3-Kinase auch der Botenstoff cAMP in kortikalen Astrozyten als Suppressor der Caveolin-Genexpression. Es wäre denkbar, daß die Caveolin-Suppression funktioneller Bestandteil des seit langem etablierten Effekts der cAMP-induzierten Astrozyten-Differenzierung ist. Desweiteren wiesen der cAMP- und TGFa-abhängige Signalweg ein überlappendes, Gehirnregion-spezifisches Regulationsprofil der Caveolin-Expression in Astrozyten auf: während in Kortex und Striatum eine Regulation durch cAMP und TGFa erfolgte, blieb diese in Klein- und Zwischenhirn aus. Somit bewirken drei zentrale regulatorische Faktoren der Proliferation und Differenzierung neuraler Zellen eine Reduktion in der Konzentration der pleiotrop funktionellen Caveoline. Zukünftige Studien müssen zeigen, inwieweit die reduzierte Caveolin-Expression für die morphologischen und biochemischen Primärwirkungen dieser Faktoren während der Entwicklung und im Zuge der Tumorgenese mitverantwortlich ist. Außerdem könnten über die Beobachtungen der zellbiologischen Auswirkungen reduzierter Caveolin-Spiegel neue Erkenntnisse über die Funktion dieser Proteine gewonnen werden.

Modeling Calcium Concentration and Biochemical Reactions

Almost all regions of the brain receive one or more neuromodulatory inputs, and disrupting these inputs produces deficits in neuronal function. Neuromodulators act through intracellular second messenger pathways to influence the electrical properties of neurons, integration of synaptic inputs, spatio-temporal firing dynamics of neuronal networks, and, ultimately, systems behavior. Second messengers pathways consist of series of bimolecular reactions, enzymatic reactions, and diffusion. Calcium is the second messenger molecule with the most effectors, and thus is highly regulated by buffers, pumps and intracellular stores. Computational modeling provides an innovative, yet practical method to evaluate the spatial extent, time course and interaction among second messenger pathways, and the interaction of second messengers with neuron electrical properties. These processes occur both in compartments where the number of molecules are large enough to describe reactions deterministically (e.g. cell body), and in compartments where the number of molecules is small enough that reactions occur stochastically (e.g. spines). – In this tutorial, I explain how to develop models of second messenger pathways and calcium dynamics. The first part of the tutorial explains the equations used to model bimolecular reactions, enzyme reactions, calcium release channels, calcium pumps and diffusion. The second part explains some of the GENESIS, Kinetikit and Chemesis objects that implement the appropriate equations. In depth explanation of calcium and second messenger models is provided by reviewing code, both in XPP, Chemesis and Kinetikit, that implements simple models of calcium dynamics and second messenger cascades.

A model of the roles of essential kinases in the induction and expression of late long-term potentiation.

The induction of late long-term potentiation (L-LTP) involves complex interactions among second-messenger cascades. To gain insights into these interactions, a mathematical model was developed for L-LTP induction in the CA1 region of the hippocampus. The differential equation-based model represents actions of protein kinase A (PKA), MAP kinase (MAPK), and CaM kinase II (CAMKII) in the vicinity of the synapse, and activation of transcription by CaM kinase IV (CAMKIV) and MAPK. L-LTP is represented by increases in a synaptic weight. Simulations suggest that steep, supralinear stimulus-response relationships between stimuli (e.g., elevations in [Ca(2+)]) and kinase activation are essential for translating brief stimuli into long-lasting gene activation and synaptic weight increases. Convergence of multiple kinase activities to induce L-LTP helps to generate a threshold whereby the amount of L-LTP varies steeply with the number of brief (tetanic) electrical stimuli. The model simulates tetanic, -burst, pairing-induced, and chemical L-LTP, as well as L-LTP due to synaptic tagging. The model also simulates inhibition of L-LTP by inhibition of MAPK, CAMKII, PKA, or CAMKIV. The model predicts results of experiments to delineate mechanisms underlying L-LTP induction and expression. For example, the cAMP antagonist RpcAMPs, which inhibits L-LTP induction, is predicted to inhibit ERK activation. The model also appears useful to clarify similarities and differences between hippocampal L-LTP and long-term synaptic strengthening in other systems.

Role of protein kinase C in short-term sensitization of {\it Aplysia}

Plasticity at the connections between sensory neurons and their follower cells in Aplysia has been used extensively as a model system to examine mechanisms of simple forms of learning, such as sensitization. Sensitization is induced, at least in part, by the transmitter serotonin (5-HT) and expressed in several forms, including facilitation of sensorimotor connections. Spike broadening has been believed to be a key mechanism underlying facilitation of nondepressed synapses. Previously, this broadening was believed to be dependent primarily on cAMP/protein kinase A (PKA)-mediated reduction of a noninactivating, relatively voltage-independent K$\sp{+}$ current termed the S-K$\sp+$ current (I$\sb{\rm K{,}S}$). Recent evidence, however, suggests that 5-HT-induced somatic spike broadening is composed of at least two components: a cAMP-dependent, rapidly developing component and a cAMP-independent, slowly developing component.^ Phorbol esters, activators of protein kinase C (PKC), mimicked the cAMP-independent component of 5-HT-induced broadening. Staurosporine, which inhibits PKC, had little effect on the rapidly developing component of 5-HT-induced broadening, but inhibited significantly the slowly developing component. These results suggest that PKC is involved in the cAMP-independent component of 5-HT-induced broadening. The membrane currents responsible for the slowly developing component of broadening were examined. Activation of PKC mimicked, and partially occluded, 5-HT-induced modulation of membrane currents above 0 mV, where a voltage-dependent K$\sp+$ current (I$\sb{\rm K{,}V}$) is significantly activated. This modulation was complex because it was associated with a reduction in the magnitude of I$\sb{\rm K{,}V}$, as well as a slowing of both activation and inactivation kinetics of I$\sb{\rm K{,}V}$. These results support the hypothesis that PKC modulates I$\sb{\rm K{,}V}$ and that this modulation contributes to the slowly developing component of 5-HT-induced broadening. Based on these results and others, a new scheme for 5-HT-induced spike broadening is proposed in which the modulatory effects are mediated via two second messenger/protein kinase systems converging and diverging on multiple ionic conductances.^ The relationship between spike broadening and synaptic facilitation was also examined. Pharmacological reduction of I$\sb{\rm K{,}V}$ by low concentrations of 4-aminopyridine (4-AP) led to spike broadening and facilitation of the nondepressed sensorimotor connections, indicating that spike broadening via the reduction of I$\sc{K,V}$ can facilitate the synaptic connection. Further analyses, however, revealed that 4-AP-induced facilitation has qualitative differences from 5-HT- and PKC-induced facilitation. These results suggest that 5-HT- and PKC-induced facilitation of nondepressed synapses is mediated, at least in part, by spike-duration independent (SDI) processes. Under certain conditions, the PKC inhibitor, staurosporine, significantly inhibited the 5-HT-induced facilitation of sensorimotor connections.^ Finally, it was found that activation of PKC increased a basal level of cAMP and that PKC caused desensitization of the 5-HT receptor, which may be a possible negative feedback mechanism through which an extracellular ligand, 5-HT, is regulated. These results suggest that these two second messenger/protein kinase pathways can interact in the sensory neuron. Thus, neuronal plasticity that may contribute to learning and memory appears to involve several complex and interactive processes. ^

REGULATION OF BRAIN NORADRENERGIC-RECEPTOR FUNCTION BY ADRENOCORTICOTROPHIN AND ANTIDEPRESSANT DRUGS (ADRENERGIC RECEPTOR, CYCLIC-AMP, ADENYLATE CYCLASE, IMIPRAMINE, STRESS)

Human behavior appears to be regulated in part by noradrenergic transmission since antidepressant drugs modify the number and function of (beta)-adrenergic receptors in the central nervous system. Affective illness is also known to be associated with the endocrine system, particularly the hypothalamic-pituitary-adrenal axis. The aim of the present study was to determine whether hormones, in particular adrencorticotrophin (ACTH) and corticosterone, may influence behavior by regulating brain noradrenergic receptor function.^ Chronic treatment with ACTH accelerated the increase or decrease in rat brain (beta)-adrenergic receptor number induced by a lesion of the dorsal noradrenergic bundle or treatment with the antidepressant imipramine. Chronic administration of ACTH alone had no effect on (beta)-receptor number although it reduced norepinephrine stimulated cyclic AMP accumulation in brain slices. Treatment with imipramine also reduced the cyclic AMP response to norepinephrine but was accompanied by a decrease in (beta)-adrenergic receptor number. Both the imipramine and ACTH treatments reduced the affinity of (beta)-adrenergic receptors for norepinephrine, but only the antidepressant modified the potency of the neurotransmitter to stimulate second messenger production. Neither ACTH nor imipramine treatment altered Gpp(NH)p- or fluoride-stimulated adenylate cyclase, cyclic AMP, cyclic GMP, or cyclic GMP-stimulated cyclic AMP phosphodiesterase, or the activity of the guanine nucleotide binding protein (Gs). These findings suggested that post-receptor components of the cyclic nucleotide generating system are not influenced by the hormone or antidepressant. This conclusion was verified by the finding that neither treatment altered adenosine-stimulated cyclic AMP accumulation in brain tissue.^ A detailed examination of the (alpha)- and (beta)-adrenergic receptor components of norepinephrine-stimulated cyclic AMP production revealed that ACTH, but not imipramine, administration reduced the contribution of the (alpha)-receptor mediated response. Like ACTH treatment, corticosterone diminished the (alpha)-adrenergic component indicating that adrenal steroids probably mediate the neurochemical responses to ACTH administration. The data indicate that adrenal steroids and antidepressants decrease noradrenergic receptor function by selectively modifying the (alpha)- and (beta)-receptor components. The functional similarity in the action of the steroid and antidepressants suggests that adrenal hormones normally contribute to the maintenance of receptor systems which regulate affective behavior in man. ^

Potassium channels and membrane potential in the modulation of intracellular calcium in vascular endothelial cells

K+ Channels and Membrane Potential in Endothelial Cells. The endothelium plays a vital role in the control of vascular functions, including modulation of tone; permeability and barrier properties; platelet adhesion and aggregation; and secretion of paracrine factors. Critical signaling events in many of these functions involve an increase in intracellular free Ca2+ concentration ([Ca2+](i)). This rise in [Ca2+](i) occurs via an interplay between several mechanisms, including release from intracellular stores, entry from the extracellular space through store depletion and second messenger-mediated processes, and the establishment of a favorable electrochemical gradient. The focus of this review centers on the role of potassium channels and membrane potential in the creation of a favorable electrochemical gradient for Ca2+ entry. In addition, evidence is examined for the existence of various classes of potassium channels and the possible influence of regional variation in expression and experimental conditions.

Selective recognition of cyclic GMP using a fluorescence-based molecularly imprinted polymer

Guanosine 3′,5′-cyclic monophosphate (cGMP) plays a role as a second messenger in many different biological systems. Given the ubiquitous nature of cGMP, a simple method of detecting cGMP is of interest. To that end a fluorescent polymer with recognition sites for cGMP has been prepared. Its selectivity and sensitivity were investigated and a dose-dependant decrease in fluorescence of the polymer in the presence of cGMP was observed. In contrast, virtually no effect was detected upon application of the structurally similar molecules, guanosine 5′-monophosphate (GMP) and adenosine 3′,5′-cyclic monophosphate (cAMP), thus demonstrating the high selectivity of this polymer. The association constant for the binding of cGMP to the imprinted polymer was determined in order of 3 × 10 5 M -1. A fluorescent, molecularly imprinted polymer that selectively recognises cGMP may have a useful application as a fluorescent chemosensor for cGMP detection in biological samples.

Cryptographic techniques for personal communication systems security

The advent of personal communication systems within the last decade has depended upon the utilization of advanced digital schemes for source and channel coding and for modulation. The inherent digital nature of the communications processing has allowed the convenient incorporation of cryptographic techniques to implement security in these communications systems. There are various security requirements, of both the service provider and the mobile subscriber, which may be provided for in a personal communications system. Such security provisions include the privacy of user data, the authentication of communicating parties, the provision for data integrity, and the provision for both location confidentiality and party anonymity. This thesis is concerned with an investigation of the private-key and public-key cryptographic techniques pertinent to the security requirements of personal communication systems and an analysis of the security provisions of Second-Generation personal communication systems is presented. Particular attention has been paid to the properties of the cryptographic protocols which have been employed in current Second-Generation systems. It has been found that certain security-related protocols implemented in the Second-Generation systems have specific weaknesses. A theoretical evaluation of these protocols has been performed using formal analysis techniques and certain assumptions made during the development of the systems are shown to contribute to the security weaknesses. Various attack scenarios which exploit these protocol weaknesses are presented. The Fiat-Sharmir zero-knowledge cryptosystem is presented as an example of how asymmetric algorithm cryptography may be employed as part of an improved security solution. Various modifications to this cryptosystem have been evaluated and their critical parameters are shown to be capable of being optimized to suit a particular applications. The implementation of such a system using current smart card technology has been evaluated.

Rapid aquaporin translocation regulates cellular water flow:the mechanism of hypotonicity-induced sub-cellular localization of the aquaporin 1 water channel

The control of cellular water flow is mediated by the aquaporin (AQP) family of membrane proteins. The family's structural features and the mechanism of selective water passage through the AQP pore are established, but there remains a gap in our knowledge of how water transport is regulated. Two broad possibilities exist. One is controlling the passage of water through the AQP pore, but this has only been observed as a phenomenon in some plant and microbial AQPs. An alternative is controlling the number of AQPs in the cell membrane. Here we describe a novel pathway in mammalian cells whereby a hypotonic stimulus directly induces intracellular calcium elevations, through transient receptor potential channels, that trigger AQP1 translocation. This translocation, which has a direct role in cell volume regulation, occurs within 30s and is dependent on calmodulin activation and phosphorylation of AQP1 at two threonine residues by protein kinase C. This direct mechanism provides a rationale for the changes in water transport that are required in response to constantly-changing local cellular water availability. Moreover, since calcium is a pluripotent and ubiquitous second messenger in biological systems, the discovery of its role in the regulation of AQP translocation has ramifications for diverse physiological and pathophysiological processes, as well as providing an explanation for the rapid regulation of water flow that is necessary for cell homeostasis.

Differential control of two forms of glutamate release by group III metabotropic glutamate receptors at rat entorhinal synapses

Neurotransmitter release at CNS synapses occurs via both action potential-dependent and independent mechanisms, and it has generally been accepted that these two forms of release are regulated in parallel. We examined the effects of activation of group III metabotropic glutamate receptors (mGluRs) on stimulus-evoked and spontaneous glutamate release onto entorhinal cortical neurones in rats, and found a differential regulation of action potential-dependent and independent forms of release. Activation of presynaptic mGluRs depressed the amplitude of stimulus-evoked excitatory postsynaptic currents, but concurrently enhanced the frequency of spontaneous excitatory currents. Moreover, these differential effects on glutamate release were mediated by pharmacologically separable mechanisms. Application of the specific activator of adenylyl cyclase, forskolin, mimicked the effect of mGluR activation on spontaneous, but not evoked release, and inhibition of adenylyl cyclase with 9-tetrahydro-2-furanyl)-9H-purin-6-amine (SQ22536) blocked mGluR-mediated enhancement of spontaneous release, but not depression of evoked release. Occlusion studies with calcium channel blockers suggested that the group III mGluRs might depress evoked release through inhibition of both N and P/Q, but not R-type calcium channels. We suggest that the concurrent depression of action potential-evoked, and enhancement of action potential-independent glutamate release operate through discrete second messenger/effector systems at excitatory entorhinal terminals in rat brain. © 2007 IBRO.

Age-related changes in cardiac adenosine receptor expression

Adenosine is an important cardioprotective agent that works via several adenosine receptor (ADOR) subtypes to regulate cardiovascular activity. It is well established that functional responses to adenosine decline with age. What is unclear, though, is whether these changes occur at the receptor, second messenger or translational level. In this study we determined the effect of age on cardiac adenosine receptor expression using the housekeeping gene 18S rRNA versus the adenosine A2B receptor gene as internal controls. Absolute quantification showed that no age-related changes occurred in the expression of 18S rRNA or adenosine A2B receptor internal control genes. Subsequently, relative analysis of the adenosine receptor subtypes using 18S rRNA found a significant age-related reduction in the expression of the adenosine A1 receptor (5.5-fold), with no changes in the expression of the adenosine A2A, A2B and A3 receptors. When using the expression of the adenosine A2B receptor as the internal control gene, a significant down regulation of both the adenosine A1 (5.4-fold) and A2A (2.2-fold) receptors with no change in the expression of adenosine A3 receptor was found. Therefore, the high level of expression of the 18S rRNA housekeeping gene was found to mask a significant change in expression of the adenosine A2A receptor with age. Ultimately, these findings show an age-related reduction in adenosine A1 and A2A receptor expression in rat heart.

Antidepressants, but not antipsychotics, modulate GR function in human whole blood: An insight into molecular mechanisms

Clinical studies have demonstrated an impairment of glucocorticoid receptor (GR)-mediated negative feedback on the hypothalamic-pituitary-adrenal (HPA) axis in patients with major depression (GR resistance), and its resolution by antidepressant treatment. Recently, we showed that this impairment is indeed due to a dysfunction of GR in depressed patients (Carvalho et al., 2009), and that the ability of the antidepressant clomipramine to decrease GR function in peripheral blood cells is impaired in patients with major depression who are clinically resistant to treatment (Carvalho et al. 2008). To further investigate the effect of antidepressants on GR function in humans, we have compared the effect of the antidepressants clomipramine, amytriptiline, sertraline, paroxetine and venlafaxine, and of the antipsychotics, haloperidol and risperidone, on GR function in peripheral blood cells from healthy volunteers (n=33). GR function was measured by glucocorticoid inhibition of lypopolysaccharide (LPS)-stimulated interleukin-6 (IL-6) levels. Compared to vehicle-treated cells, all antidepressants inhibited dexamethasone (DEX, 10-100nM) inhibition of LPS-stimulated IL-6 levels (p values ranging from 0.007 to 0.1). This effect was specific to antidepressants, as antipsychotics had no effect on DEX-inhibition of LPS-stimulated IL-6 levels. The phosphodiesterase (PDE) type 4 inhibitor, rolipram, potentiated the effect of antidepressants on GR function, while the GR antagonist, RU-486, inhibited the effect of antidepressants on GR function. These findings indicate that the effect of antidepressants on GR function are specific for this class of psychotropic drugs, and involve second messenger pathways relevant to GR function and inflammation. Furthermore, it also points towards a possible mechanism by which one maybe able to overcome treatment-resistant depression. Research in this field will lead to new insights into the pathophysiology and treatment of affective disorders.

Inhibition of H2O2 generation in rat liver mitochondria by radical quenchers and phenolic compounds

Generation of H2O2 by rat liver mitochondria with choline, glycerol 1-phosphate and proline as substrates has been shown by using high-concentration phosphate buffer. Rates obtained under these conditions were higher and more consistent as compared with the earlier reports with high-concentration mannitol/sucrose/Tris buffer. Sulphate ions could replace phosphate indicating a requirement for a high concentration of oxygen-containing anions. H2O2 generation was dependent on the presence of native mitochondria and substrate. Maximal rates with various substrates were found to be the same as with succinate. Values of Km and Vmax for H2O2 generation were considerably less than those obtained for respective dehydrogenase activities, measured by dye reduction. Scavengers of O2-. and OH. inhibited generation of H2O2. ATP, ADP, thyronine derivatives and a number of phenolic compounds also showed very potent inhibitory effects of H2O2 generation, whereas phenyl compound had no effect. Phenolic compounds did not have any effect on mitochondrial superoxide dismutase and choline dehydrogenase activities as well as on O2-. generation by the xanthine-xanthine oxidase system. Inhibition by phenolic compounds may have potential for regulation of the intracellular concentration of H2O2, that is not considered to have a "second messenger' function.

On the functional ordering of biomembranes : Implications for drug binding

Cells are packed with membrane structures, defining the inside and outside, and the different subcellular compartments. These membranes consisting mainly of phospholipids have a variety of functions in addition to providing a permeability barrier for various compounds. These functions involve cellular signaling, where lipids can act as second messengers, or direct regulation of membrane associating proteins. The first part of this study focuses on relating some of the physicochemical properties of membrane lipids to the association of drug compounds to membranes. A fluorescence based method is described allowing for determination of the membrane association of drugs. This method was subsequently applied to a novel drug, siramesine, previously shown to have anti-cancer activity. Siramesine was found to associate with anionic lipids. Especially interesting is its strong affinity for a second messenger lipid phosphatidic acid. This is the first example of a small molecule drug compound specifically interacting with a cellular lipid. Phosphatidic acid in cells is required for the activation of many signaling pathways mediating growth and proliferation. This provides an intriguing possibility for a simple molecular mechanism of the observed anti-cancer activity of siramesine. In the second part the thermal behavior and self assembly of charged and uncharged membrane assemblies was studied. Strong inter-lamellar co-operativity was observed for multilamellar DPPC vesicles using fluorescence techniques together with calorimetry. The commonly used membrane models, large unilamellar vesicles (LUV) and multilamellar vesicles (MLV) were found to possess different biophysical properties as interlamellar interactions of MLVs drive segregation of a pyrene labeled lipid analogue into clusters. The effect of a counter-ion lattice on the self assembly of a cationic gemini surfactant was studied. The presence of NaCl strongly influenced the thermal phase behavior of M-1 vesicles, causing formation of giant vesicles upon exceeding a phase transition temperature, followed by a subsequent transition into a more homogenous dispersion. Understanding the underlying biophysical aspects of cellular membranes is of fundamental importance as the complex picture of the structure and function of cells is evolving. Many of the cellular reactions take place on membranes and membranes are known to regulate the activity of many peripheral and intergral membrane associating proteins. From the point of view of drug design and gene technology, membranes can provide an interesting target for future development of drugs, but also a vehicle sensitive for environmental changes allowing for encapsulating drugs and targeting them to the desired site of action.

Regularized numerical integration of multibody dynamics with the generalized alpha method*

This paper discusses the consistent regularization property of the generalized α method when applied as an integrator to an initial value high index and singular differential-algebraic equation model of a multibody system. The regularization comes from within the discretization itself and the discretization remains consistent over the range of values the regularization parameter may take. The regularization involves increase of the smallest singular values of the ill-conditioned Jacobian of the discretization and is different from Baumgarte and similar techniques which tend to be inconsistent for poor choice of regularization parameter. This regularization also helps where pre-conditioning the Jacobian by scaling is of limited effect, for example, when the scleronomic constraints contain multiple closed loops or singular configuration or when high index path constraints are present. The feed-forward control in Kane's equation models is additionally considered in the numerical examples to illustrate the effect of regularization. The discretization presented in this work is adopted to the first order DAE system (unlike the original method which is intended for second order systems) for its A-stability and same order of accuracy for positions and velocities.