A stochastic model for the membrane potential of a stimulated neuron

We present a simple model describing the transition between the prefiring, firing and postfiring phases of a single neuron in a large neural net. Using typical values for the physiological parameters that enter the model, we find average interspike times that are close to those reported in experimental measurements.     

Self-sustained oscillations of electric potential in a model membrane

A model membrane constructed from a Millipore filter, whose pores are filled with dioleyl phosphate molecules, exhibits a self-oscillation of the electric potential with a period of about a few seconds in the presence of a salt-concentration difference, pressure difference and/or electric current across the filter. In this paper, the effects of chemicals such as KCl, CaCl2, pH and sucrose on the self-oscillation are investigated experimentally. These chemical substances are shown to alter the characteristic properties as the frequency of oscillation. Theoretical consideration of electrochemical interaction between these substances and DOPH molecules gives a fairly good explanation of the observed results.     

A model for understanding membrane potential using springs

In this report, I present a simple model using springs to conceptualize the relationship between ionic conductances across a cellular membrane and their effect on membrane potential. The equation describing the relationships linking membrane potential, ionic equilibrium potential, and ionic conductance is of similar form to that describing the force generated by a spring as a function of its displacement. The spring analogy is especially useful in helping students to conceptualize the effects of multiple conductances on membrane potential.     

Formation model of the electrical potential of skin

A model of the electrical potential form of the skin was discovered. It contained electrical parameters of the epidermis and sweat glands which were connected with those of the sweat. The formula for the electrical potential of the skin are explained by the base type of man's galvanic skin reaction.     

The membrane dipole potential in a total membrane potential model. Applications to hydrophobic ion interactions with membranes.

The total potential energy profile for hydrophobic ion interactions with lipid bilayers can be written as the sum of four terms: the electrical Born, image and dipole contributions, and a neutral energy term. We introduce a specific model for the membrane dipole potential, treating it as a two-dimensional array of point dipoles located near each membrane-water interface. Together with specific theoretical models for the other energy terms, a total potential profile is developed that successfully describes the complete set of thermodynamic parameters for binding and translocation for the two hydrophobic ion structural analogues, tetraphenylphosphonium (TPP+) and tetraphenylboron (TPB-). A reasonable fit to the data is possible if the dipole potential energy has a magnitude of 5.5 + 0.5 kcal/mol (240 + 20 mV), positive inside, and if the neutral energy contribution for TPP+ and TPB- is -7.0 + 1.0 kcal/mol. These results may also have important implications for small ion interactions with membranes and the energetics of charged groups in membrane proteins.     

Biosynthesis of the IgA antibody receptor: a model for the transepithelial sorting of a membrane glycoprotein

Secretory IgA dimer antibodies in exosecretions provide the primary immunological defense for mucosal surfaces. Transmission of IgA2 across the epithelia of mucous and exocrine glands is mediated by a receptor called secretory component (SC). Using three antibodies directed against different domains of SC, we examine its processing in the lactating rabbit mammary gland. SC is synthesized as a core glycosylated transmembrane glycoprotein on the rough endoplasmic reticulum. Pulse-chase experiments reveal the time course of SC maturation in the Golgi, as demonstrated by the acquisition of Endo H resistance (30-60 min). The subsequent routing of SC to the basolateral plasma membrane, where IgA2 binding and endocytosis occurs, the cleavage of the membrane anchoring domain of SC, and the exocytosis from the apical plasma membrane of IgA, bound to the ectoplasmic domain of SC takes place rapidly (30-60 min). Thus maturation in the Golgi may represent the rate limiting step in SC routing. We also demonstrate that SC exists in several conformational states that are processed at different rates.     

Association of synthetic model peptides with phospholipid vesicles induced by a membrane potential

Hydrophobic model peptides, consisting of 5 or 6 amino acids and carrying a net positive charge at the amino terminus, exhibit a dramatically increased association with large unilamellar egg-PC vesicles upon application of a valinomycin-induced K+ diffusion potential, negative inside. The association of the peptides is largely reversible, apparent from a release of peptide upon dissipation of the membrane potential.     

Metabolically derived potential on the outer membrane of mitochondria: a computational model

The outer mitochondrial membrane (OMM) is permeable to various small substances because of the presence of a voltage-dependent anion channel (VDAC). The voltage dependence of VDAC's permeability is puzzling, because the existence of membrane potential on the OMM has never been shown. We propose that steady-state metabolically derived potential (MDP) may be generated on the OMM as the result of the difference in its permeability restriction for various charged metabolites. To demonstrate the possibility of MDP generation, two models were considered: a liposomal model and a simplified cell model with a creatine kinase energy channeling system. Quantitative computational analysis of the simplified cell model shows that a MDP of up to -5 mV, in addition to the Donnan potential, may be generated at high workloads, even if the OMM is highly permeable to small inorganic ions, including potassium. Calculations show that MDP and DeltapH, generated on the OMM, depend on the cytoplasmic pH and energy demand rate. Computational modeling suggests that MDP may be important for cell energy metabolism regulation in multiple ways, including VDAC's permeability modulation and the effect of electrodynamic compartmentation. The osmotic pressure difference between the mitochondrial intermembrane space and the cytoplasm, as related to the electrodynamic compartmentation effects, might explain the morphological changes in mitochondria under intense workloads.     

Liposomes as model for taste cells: receptor sites for bitter substances including N-C=S substances and mechanism of membrane potential changes

Various bitter substances were found to depolarize liposomes. The results obtained are as follows: (1) Changes in the membrane potential of azolectin liposomes in response to various bitter substances were monitored by measuring changes in the fluorescence intensity of 3,3'-dipropylthiocarbocyanine iodide [diS-C3(5)]. All the bitter substances examined increased the fluorescence intensity of the liposome-dye suspension, which indicates that the substances depolarize the liposomes. There existed a good correlation between the minimum concentrations of the bitter substances to depolarize the liposomes and the taste thresholds in humans. (2) The effects of changed lipid composition of liposomes on the responses to various bitter substances vary greatly among bitter substances, suggesting that the receptor sites for bitter substances are multiple. The responses to N-C=S substances and sucrose octaacetate especially greatly depended on the lipid composition; these compounds depolarized only liposomes having certain lipid composition, while no or hyperpolarizing responses to these compounds were observed in other liposomes examined. This suggested that the difference in "taster" and "nontaster" for these substances can be explained in terms of difference in the lipid composition of taste receptor membranes. (3) It was confirmed that the membrane potential of the planar lipid bilayer is changed in response to bitter substances. The membrane potential changes in the planar lipid bilayer as well as in liposomes in response to the bitter substances occurred under the condition that there is no ion gradient across the membranes. These results suggested that the membrane potential changes in response to bitter substances stem from the phase boundary potential changes induced by adsorption of the substances on the hydrophobic region of the membranes.     

A surface active benzodiazepine receptor ligand for potential probing membrane order of GABAA-receptor surroundings

A conjugable analogue of the benzodiazepine 5-(2-hydroxiphenyl)-7-nitro-benzo[ e][1,4]diazepin-2(3 H)-one N 1-substituted with an aliphatic chain (CNZ acyl derivative, CAd) was synthesized. CAd inhibited FNZ binding to GABA A-R with an inhibition binding constant K i = 176 nM and expanded a model membrane packed up to 13 mN/m when penetrating from the aqueous phase. CAd exhibited surface activity with a collapse pressure pi = 18.8 mN/m and minimal molecular area A min = 49 A (2)/molecule at the closest molecular packing, resulting in full and nonideal mixing with a phospholipid in a monolayer up to a molar fraction x congruent with 0.1, decreasing its surface potential and contributing with a dipole that pointed its positive end toward the air and reoriented at the interface upon compression. These findings suggested that CAd could be stabilized at the membrane-water interface with its CNZ moiety stacked at the GABA A-R while its acyl chain can be inserted into the membrane depth.     

Equations for the membrane potential

The problem of an electric signal propagating over a thin layer modeling the cell membrane is considered in the electrostatic approximation. At both sides of the membrane there are bulk conductors with different properties. Various types of boundary conditions are examined. Solutions are obtained for a cylindrical fiber and planar layer and compared with the relationships used in the classical Hodgkin-Huxley theory. It is shown that agreement with the cable theory is obtained only if the system is fully symmetrical and the near-membrane layers are thin.     

The Golgi as a potential membrane source for autophagy

In macroautophagy (hereafter autophagy), a morphological hallmark is the formation of double-membrane vesicles called autophagosomes that sequester and deliver cytoplasmic components to the lysosome/vacuole for degradation. This process begins with an initial sequestering compartment, the phagophore, which expands into the mature autophagosome. A tremendous amount of work has been carried out to elucidate the mechanism of how the autophagosome is formed. However, an important missing piece in this puzzle is where the membrane comes from. Independent lines of evidence have shown that pre-existing organelles may continuously supply lipids to support autophagosome formation. In our analysis, we identified several components of the late stage secretory pathway that may redirect Golgi-derived membrane to autophagosome formation in response to starvation conditions.     

The Golgi as a potential membrane source for autophagy

In macroautophagy (hereafter autophagy), a morphological hallmark is the formation of double-membrane vesicles called autophagosomes that sequester and deliver cytoplasmic components to the lysosome/vacuole for degradation. This process begins with an initial sequestering compartment, the phagophore, which expands into the mature autophagosome. A tremendous amount of work has been carried out to elucidate the mechanism of how the autophagosome is formed. However, an important missing piece in this puzzle is where the membrane comes from. Independent lines of evidence have shown that preexisting organelles may continuously supply lipids to support autophagosome formation. In our analysis, we identified several components of the late stage secretory pathway that may redirect Golgi-derived membrane to autophagosome formation in response to starvation conditions.Key words: lysosome, membrane biogenesis, protein targeting, secretory pathway, stress, vacuole, yeast     

Functioning of catfish electroreceptors: relation between skin potential and receptor activity

Properties of catfish electroceptors were investigated by simultaneous recording of the skin potential and the activity of an afferent nerve. 1. The normal threshold stimulus intensity induces a potential amplitude of about 10 to 30 muV across the skin (Table I). 2. The average spike frequency in the nerve increases approximately with the logarithm of the stimulus intensity (Fig. 1). 3. The direct current restoring the receptor activity in calcium deficient media makes the skin potential more negative. 4. Presumably, not the skin potential itself but a difference between the skin potential and the e.m.f. generated by the receptor epithelium influences receptor functioning. 5. Amplitude and phase characteristics can be described by a filter circuit (Fig. 4 and 5).     

Liposomes as a model for olfactory cells: changes in membrane potential in response to various odorants

Various odorants were found to depolarize azolectin liposomes. The results obtained are as follows. (1) Changes in the membrane potential of azolectin liposomes in response to various odorants were monitored by measuring changes in the fluorescence intensity of 3,3'-dipropylthiocarbocyanine iodide [disS-C3(5)]. Ten odorants examined increased the fluorescence intensity of the liposome-dye suspensions in a dose-dependent manner, which indicates that odorants depolarize the liposomes. Concentrations of odorants that depolarized the liposomes greatly varied among the odorants. There existed a good correlation between the minimum concentrations of odorants to depolarize the liposomes and the thresholds of respective odorants in the frog or porcine olfactory responses. (2) Addition of sphingomyelin (SM) to azolectin led to a large enhancement of depolarizations by nonanol, citral, and n-amyl acetate. The results indicate that lipid composition of liposomes is one of the factors that control the sensitivity to odorants. (3) Odorants changed the membrane fluidity of the liposomes, which was monitored by changes in the fluorescence polarization of 1,6-diphenyl-1,3,5-hexatriene (DPH). The membrane fluidity was changed in concentration ranges of odorants similar to those where the membrane potential changes occurred, which suggests that changes in the membrane fluidity are related to generation of the membrane potential changes. (4) Changes in the membrane potential in response to odorants were electrically measured with the planar lipid bilayer made of an azolectin-SM (2:1 w/w) mixture. It was shown that odorants (nonanol, citral, and n-amyl acetate) depolarized the planar lipid bilayer.(ABSTRACT TRUNCATED AT 250 WORDS)     

Donnan potential and surface potential of a charged membrane.

A model is presented for the electrical potential distribution across a charged biological membrane that is in equilibrium with an electrolyte solution. We assume that a membrane has charged surface layers of thickness d on both surfaces of the membrane, where the fixed charges are distributed at a uniform density N within the layers, and that these charged layers are permeable to electrolyte ions. This model unites two different concepts, that is, the Donnan potential and the surface potential (or the Gouy-Chapman double-layer potential). Namely, the present model leads to the Donnan potential when d much greater than 1/k' (k' is the Debye-Hückel parameter of the surface charge layer) and to the surface potential as d----0, keeping the product Nd constant. The potential distribution depends significantly on the thickness d of the surface charge layer when d less than or approximately equal to 1/k'.     

On a set of data for the membrane potential in a neuron

We consider a set of data where the membrane potential in a pyramidal neuron is measured almost continuously in time, under varying experimental conditions. We use nonparametric estimates for the diffusion coefficient and the drift in view to contribute to the discussion which type of diffusion process is suitable to model the membrane potential in a neuron (more exactly: in a particular type of neuron under particular experimental conditions).     

Extension of the neuronal membrane model to account for suppression of the action potential by a constant magnetic field

A biophysical explanation of the reduced excitability in neurons exposed to a constant magnetic field is based on an extended neuronal membrane model. In the presence of a constant magnetic field, reduced excitability is manifested as an increase in the excitation threshold and a decrease in the frequency of action potentials. The proposed explanation for the reduced excitability rests on the well-known Hall effect. The separation of charges resulting from the Lorentz force exerted on moving intracellular ions leads to the formation of a Hall electric field in a direction perpendicular to that of action-potential transmission. Consequently, the ion current for discharging the membrane capacitance is reduced in the presence of a magnetic field, thereby limiting initiation of the action potential. The validity of the proposed biophysical explanation is justified analytically and verified by simulations based on the Hodgkin and Huxley model for the electrical excitability of a neuron. Based on derivation of the current segregation ratio α characterizing the reduction in the stimulating current from first principles, the equivalent circuit model of the neuronal membrane is extended to account for the reduced excitability of neurons exposed to a constant magnetic field.     

Homology model and potential virus-capsid binding site of a putative HEV receptor Grp78

P239, a truncated construct of the hepatitis E virus (HEV) ORF2 protein, has been proven able to bind with a chaperone, Grp78, in both an in vitro co-immune precipitation test and an in vivo cell model. We previously solved the crystal structure of E2s—the C-terminal domain of p239 involved in host interactions. In the present study, we built a 3D structure of Grp78 using homology modeling methods, and docked this molecule with E2s using the Zdockpro module of the InsightII software package. The modeled Grp78 structure was deemed feasible by profile 3D evaluation and molecular dynamic simulations. The docking result consists of six clusters of distinct complexes and C035 was selected as the most reasonable. The interacting interface of the predicted complex is comprised of the Grp78 linker region and nucleotide binding domain along with the E2s groove region and surrounding loops. Using energy, hydrogen bond and solvent accessible surface analyses, we identified a series of key residues that may be involved in the Grp78:E2s interaction. By comparing with the known structure of the Hsp70:J complex, we further concluded that the interaction of Grp78 and E2s could interrupt binding of Grp78 with the J domain, and in turn diminish or even eliminate the binding ability of the Grp78 substrate binding domain. The predicted series of key residues also provides clues for further research that should improve our understanding of the fundamental molecular mechanisms of HEV infection.