Potassium diffusive coupling in neural networks

Conventional neural networks are characterized by many neurons coupled together through synapses. The activity, synchronization, plasticity and excitability of the network are then controlled by its synaptic connectivity. Neurons are surrounded by an extracellular space whereby fluctuations in specific ionic concentration can modulate neuronal excitability. Extracellular concentrations of potassium ([K⁺]_o) can generate neuronal hyperexcitability. Yet, after many years of research, it is still unknown whether an elevation of potassium is the cause or the result of the generation, propagation and synchronization of epileptiform activity. An elevation of potassium in neural tissue can be characterized by dispersion (global elevation of potassium) and lateral diffusion (local spatial gradients). Both experimental and computational studies have shown that lateral diffusion is involved in the generation and the propagation of neural activity in diffusively coupled networks. Therefore, diffusion-based coupling by potassium can play an important role in neural networks and it is reviewed in four sections. Section 2 shows that potassium diffusion is responsible for the synchronization of activity across a mechanical cut in the tissue. A computer model of diffusive coupling shows that potassium diffusion can mediate communication between cells and generate abnormal and/or periodic activity in small (§3) and in large networks of cells (§4). Finally, in §5, a study of the role of extracellular potassium in the propagation of axonal signals shows that elevated potassium concentration can block the propagation of neural activity in axonal pathways. Taken together, these results indicate that potassium accumulation and diffusion can interfere with normal activity and generate abnormal activity in neural networks.     

Potassium Buffering in the Neurovascular Unit: Models and Sensitivity Analysis

Astrocytes are critical regulators of neural and neurovascular network communication. Potassium transport is a central mechanism behind their many functions. Astrocytes encircle synapses with their distal processes, which express two potassium pumps (Na-K and NKCC) and an inward rectifying potassium channel (Kir), whereas the vessel-adjacent endfeet express Kir and BK potassium channels. We provide a detailed model of potassium flow throughout the neurovascular unit (synaptic region, astrocytes, and arteriole) for the cortex of the young brain. Our model reproduces several phenomena observed experimentally: functional hyperemia, in which neural activity triggers astrocytic potassium release at the perivascular endfoot, inducing arteriole dilation; K⁺ undershoot in the synaptic space after periods of neural activity; neurally induced astrocyte hyperpolarization during Kir blockade. Our results suggest that the dynamics of the vascular response during functional hyperemia are governed by astrocytic Kir for the fast onset and astrocytic BK for maintaining dilation. The model supports the hypothesis that K⁺ undershoot is caused by excessive astrocytic uptake through Na-K and NKCC pumps, whereas the effect is balanced by Kir. We address parametric uncertainty using high-dimensional stochastic sensitivity analysis and identify possible model limitations.     

Potassium Buffering in the Neurovascular Unit: Models and Sensitivity Analysis

Astrocytes are critical regulators of neural and neurovascular network communication. Potassium transport is a central mechanism behind their many functions. Astrocytes encircle synapses with their distal processes, which express two potassium pumps (Na-K and NKCC) and an inward rectifying potassium channel (Kir), whereas the vessel-adjacent endfeet express Kir and BK potassium channels. We provide a detailed model of potassium flow throughout the neurovascular unit (synaptic region, astrocytes, and arteriole) for the cortex of the young brain. Our model reproduces several phenomena observed experimentally: functional hyperemia, in which neural activity triggers astrocytic potassium release at the perivascular endfoot, inducing arteriole dilation; K⁺ undershoot in the synaptic space after periods of neural activity; neurally induced astrocyte hyperpolarization during Kir blockade. Our results suggest that the dynamics of the vascular response during functional hyperemia are governed by astrocytic Kir for the fast onset and astrocytic BK for maintaining dilation. The model supports the hypothesis that K⁺ undershoot is caused by excessive astrocytic uptake through Na-K and NKCC pumps, whereas the effect is balanced by Kir. We address parametric uncertainty using high-dimensional stochastic sensitivity analysis and identify possible model limitations.     

Diffusive coupling and network periodicity: a computational study

Diffusive coupling (nearest-neighbor coupling) is the most common type of coupling present in many systems. Previous experimental and theoretical studies have shown that potassium lateral diffusion coupling (i.e., diffusive coupling) can be responsible for synchronization of neuronal activity. Recent in vivo experiments carried out with anesthetized rat hippocampus suggested that the extracellular potassium could play an important role in the generation of a novel type of epileptiform nonsynaptic activity. Yet, the role of potassium in the generation of seizures remains controversial. We tested the hypothesis that potassium lateral diffusion coupling is responsible for the coupling mechanisms for network periodicity in a nonsynaptic model of epilepsy in vivo using a CA1 pyramidal neuron network model The simulation results show that 1), potassium lateral diffusion coupling is crucial for establishing epileptiform activity similar to that generated experimentally; and 2), there exists a scaling relation between the critical coupling strength and the number of cells in the network. The results not only agree with the theoretical prediction, but strongly suggest that potassium lateral diffusion coupling, a physiological realization of the concept of diffusive coupling, can play an important role in entraining periodicity in a nonsynaptic neural network.     

Lithium inhibits morphogenesis of the nervous system but not neuronal differentiation in Xenopus laevis

Xenopus embryos treated with 100 mM-lithium from the 2- to 4-cell stage to the early blastula stage (4h) failed to neurulate and developed without a discernible anteroposterior axis. The internal structure of defective embryos was grossly disorganized, but immunohistochemical staining with cell-type-specific antibodies revealed differentiated nerve and muscle cells. Quantitative assay in tissue cultures from control and acutely abnormal lithium-treated embryos showed that neural differentiation was enhanced and muscle differentiation unaffected. The embryos took up about 0.5 mM-lithium at threshold, maximal effects resulted at 2-3 mM. Most of the lithium was extruded from the cells into the blastocoel fluid, where lithium reached 17 mM. The threshold intracellular concentration was about 150 microM. Lithium uptake rose steeply as the osmotic/ionic strength of the bathing medium increased. Sodium, potassium and lithium were equally able to increase the permeability of the embryo. However, sodium ions enhanced, while potassium ions interfered with, the uptake of lithium. Treatment with lithium at progressively later stages reduced the developmental defects and neural differentiation returned to normal levels. The uptake of lithium did not decline concomitantly. We conclude that lithium does not inhibit neural induction, but interferes with dorsal patterning. The sensitivity of the embryo to lithium is determined by developmental stage. The very low, effective intracellular concentrations may be important in understanding the mechanism of lithium-generated defects.     

4-氨基吡啶敏感钾通道对神经自发放电节律转迁历程的调节作用

为进一步研究损伤神经放电节律的分岔转迁规律,以实验性神经起步点模型为研究对象,在联合改变胞外的钙离子和钾离子浓度的条件下,记录神经单纤维的放电节律转迁方式。选取4-氨基吡啶(4-aminopyridine,4-AP)作为条件参数,Ca2+浓度作为分岔参数,观察了实验性神经起步点自发放电节律的分岔规律。28例实验结果中,有21例神经对本文所取的条件参数变化不敏感,7例实验性神经起步点的自发放电节律会在不同的条件参数下出现不同类型的分岔序列结构。在不同的4-AP浓度下,随着Ca2+浓度的降低,同一实验性神经起步点会表现出不同的放电节律模式的分岔序列,不同实验性神经起步点,双参数分岔序列是不同的。以上结果说明,不同参数配置下的神经放电节律的变化规律是不同的,而且分岔序列结构是认识放电节律转迁规律的基础。     

Serotonin, nitric oxide and histamine enhance the excitability of neuron MCC by diverse mechanisms

Serotonin, nitric oxide (NO) and histamine are neuromodulators used in molluscan nervous systems. We have found that each of them depolarizes and increases the excitability of the serotonergic feeding neural circuit modulator neuron, MCC, of Aplysia, but each induces different changes in background ionic currents and uses a different second messenger. Stimulation of neuron C2 in the cerebral ganglion induces a vsEPSP in MCC using NO and histamine. When these neurons are isolated in culture they form synapses that mediate the vsEPSP. The ionic currents induced by these neuromodulators were investigated in isolated cultured MCCs. Histamine reduced a background outward current between -70 and -30 mV that was blocked by cobalt treatment, indicating that it is a calcium activated potassium current. Serotonin reduced a background outward current from -65 mV to -30 mV and enhanced a potassium inward current more negative than -70 mV that was blocked by cesium and barium. This response was mimicked by 8-Br-cAMP. NO donors reduced a cobalt insensitive background outward current between -70 and -30 mV. This response was mimicked by 8-Br-cGMP. These responses show that MCC can produce complex time and state-dependent activity during its modulation of the feeding neural circuit.     

Trace amines differentially regulate adult locomotor activity, cocaine sensitivity, and female fertility in Drosophila melanogaster

The trace biogenic amines tyramine and octopamine are found in the nervous systems of animals ranging in complexity from nematodes to mammals. In insects such as Drosophila melanogaster, the trace amine octopamine is a well-established neuromodulator that mediates a diverse range of physiological processes, but an independent role for tyramine is less clear. Tyramine is synthesized from tyrosine by the enzyme tyrosine decarboxylase (TDC). We previously reported the identification of two Tdc genes in Drosophila: the peripherally-expressed Tdc1 and the neurally-expressed Tdc2. To further clarify the neural functions of the trace amines in Drosophila, we examined normal and cocaine-induced locomotor activity in flies that lack both neural tyramine and octopamine because of mutation in Tdc2 (Tdc2(RO54)). Tdc2(RO54) flies have dramatically reduced basal locomotor activity levels and are hypersensitive to an initial dose of cocaine. Tdc2-targeted expression of the constitutively active inward rectifying potassium channel Kir2.1 replicates these phenotypes, and Tdc2-driven expression of Tdc1 rescues the phenotypes. However, flies that contain no measurable neural octopamine and an excess of tyramine due to a null mutation in the tyramine beta-hydroxylase gene (TbetaH(nM18)) exhibit normal locomotor activity and cocaine responses in spite of showing female sterility due to loss of octopamine. The ability of elevated levels of neural tyramine in TbetaH(nM18) flies to supplant the role of octopamine in adult locomotor and cocaine-induced behaviors, but not in functions related to female fertility, indicates mechanistic differences in the roles of trace amines in these processes.     

Study of a neuronal potassium current in different culture conditions

The potassium current of neurons in explants cultured from quail mesencephalic neural crest were studied in voltage clamp, using the whole cell recording technique. Two voltage-dependent potassium currents were identified; they differed in their sensitivity to blocking agents and to sustained depolarizing voltages. The potassium current component most sensitive to 4-aminopyridine had fast activation kinetics and inactivated quickly at sustained depolarized voltages. By analogy with a current described in other preparations, this current was called IA. The current component most sensitive to tetraethylammonium had slower activation kinetics and inactivated more slowly than IA at sustained depolarized voltages. This current was called IK. The properties of IA and IK were examined in neurons cultured in a defined medium and in neurons co-cultured with striated muscle. The rate of inactivation of IA appeared to be increased when neural crest neurons were cultured in the presence of striated muscle. The change in the properties of IA could be due to a direct effect of the co-culture with muscle on the membrane current; another possibility could be that co-culture favors the survival of a neuronal population that does not survive well when cultured in a defined medium.     

Influence of different neural systems on the secretion of sex hormones in potassium deficient mice

The influence of different neural systems that modulate GnRH secretion by hypothalamic neurons was investigated in mice exposed to hypokalemic conditions, in which the pulsatile release of GnRH has been shown to be altered and associated with a significant decrease of plasma sex steroids. Our results demonstrate that the potentiation of the inhibitory pathways mediated by opiates and GABA may be implicated in the decrease of sex hormones secretion produced by hypokalemia since treatment with higher doses of naloxone or flumazenil are required to restore progesterone or testosterone levels in potassium deficient mice. The combination treatment of prazoxin and naloxone suggests that the inhibitory action of opiates take place through its action on noradrenergic neurons. It is also possible that the inhibition of GnRH release could be due to a decrease in the tonic stimulatory action of noradrenergic pathway implicated in the control of GnRH release. Our results also reveal that it is unlikely that the glutamatergic system may play any relevant direct role in the decrease of sex steroid secretion observed in potassium deficient mice. Finally, these results together with the normal pattern of estradiol levels found along the estrus cycle in potassium deficient mice indicate that factors different from estradiol and acting on neural systems implicated in the regulation of GnRH-secreting neurons participate in the generation of the preovulatory surge of GnRH.     

Potassium and ventilation in exercise.

The drive to breathe in exercise is thought to result from a combination of neural and humoral factors, but the exact nature of the controlling signals is controversial. This review examines evidence suggesting that potassium could be a signal that drives ventilation (VE) in exercise. Potassium is lost from working muscle, which results in a marked hyperkalemia in the arterial plasma. The rise in potassium is directly proportional to the increase in carbon dioxide production during exercise and is also well correlated with VE in normal subjects and in subjects who do not produce acid (McArdle's syndrome). In the anesthetized and decerebrate cat, physiological levels of hyperkalemia stimulate VE by direct excitation of the peripheral arterial chemoreceptors, because surgical and chemical denervation of the chemoreceptors abolishes the increase in VE caused by potassium. The effect of hyperkalemia on chemoreceptor activity is further enhanced by hypoxia, but an abrupt switch to hyperoxia removes this effect. From these studies, it is suggested that potassium fulfills many of the criteria of being the special substance or "work factor" that was postulated over a century ago to stimulate VE in exercise. Although there is no direct proof that potassium causes an increase in breathing during exercise, circumstantial evidence strongly supports the idea that it should be considered as a stimulus to exercise hyperpnea.     

A Theoretical Examination of Ionic Interactions between Neural and Non-Neural Membranes

Evidence from electron microscopy indicates that the separation between adjacent membranes of the central nervous system (CNS) is less than 500 A and perhaps as small as 100-250 A. The rapid K⁺ efflux associated with the neural action potential may therefore be sufficient to affect the local extracellular potassium concentration and, via their partial dependence upon the potassium equilibrium potential, alter the electrical states of nearby neural and glial membranes. This new concept of a transient and local depolarizing “ionic interaction” between active and inactive membranes of the CNS is here examined theoretically and its magnitude calculated as a function of (a) the intermembrane separation, (b) the membranes' electrochemical characteristics, and (c) the rate at which K⁺ can diffuse away from the vicinity of the active (neural) membrane. My results indicate that the interaction is in the millivolt range and therefore significant in the modulation of postsynaptic and presynaptic information processing; in particular configurations the postulated interaction alone may be suprathreshold. Membrane noise and local synchrony in groups of neurons may reflect these local, K⁺-mediated interactions. The transient ionic interaction between active neural and nearby glial membrane is also in the millivolt range; however, the relevance of neuroglia to neuronal function is obscure. Certain pathological states, such as seizure and spreading depression, have an obvious phenomenological correspondence to the results presented here and are briefly discussed.     

Multipotent progenitor cells derived from adult peripheral blood of swine have high neurogenic potential in vitro

Peripheral blood-derived multipotent adult progenitor cells (PBD-MAPCs) are a novel population of stem cells, isolated from venous blood of green fluorescent protein transgenic swine, which proliferate as multicellular non-adherent spheroids. Using a simple differentiation protocol, a large proportion of these cells developed one of five distinct neural cell phenotypes, indicating that these primordial cells have high neurogenic potential. Cells exhibiting neural morphologies developed within 48 h of exposure to differentiation conditions, increased in percentage over 2 weeks, and stably maintained the neural phenotype for three additional weeks in the absence of neurogenic signaling molecules. Cells exhibited dynamic neural-like behaviors including extension and retraction of processes with growth cone-like structures rich in filamentous actin, cell migration following a leading process, and various cell-cell interactions. Differentiated cells expressed neural markers, NeuN, β-tubulin III and synaptic proteins, and progenitor cells expressed the stem cell markers nestin and NANOG. Neurally differentiated PBD-MAPCs exhibited voltage-dependent inward and outward currents and expressed voltage-gated sodium and potassium channels, suggestive of neural-like membrane properties. PBD-MAPCs expressed early neural markers and developed neural phenotypes when provided with an extracellular matrix of laminin without the addition of cytokines or growth factors, suggesting that these multipotent cells may be primed for neural differentiation. PBD-MAPCs provide a model for understanding the mechanisms of neural differentiation from non-neural sources of adult stem cells. A similar population of cells, from humans or xenogeneic sources, may offer the potential of an accessible, renewable and non-tumorigenic source of stem cells for treating neural disorders.     

The Circadian Clock Gene Period1 Connects the Molecular Clock to Neural Activity in the Suprachiasmatic Nucleus

The neural activity patterns of suprachiasmatic nucleus (SCN) neurons are dynamically regulated throughout the circadian cycle with highest levels of spontaneous action potentials during the day. These rhythms in electrical activity are critical for the function of the circadian timing system and yet the mechanisms by which the molecular clockwork drives changes in the membrane are not well understood. In this study, we sought to examine how the clock gene Period1 (Per1) regulates the electrical activity in the mouse SCN by transiently and selectively decreasing levels of PER1 through use of an antisense oligodeoxynucleotide. We found that this treatment effectively reduced SCN neural activity. Direct current injection to restore the normal membrane potential partially, but not completely, returned firing rate to normal levels. The antisense treatment also reduced baseline [Ca²⁺]i levels as measured by Fura2 imaging technique. Whole cell patch clamp recording techniques were used to examine which specific potassium currents were altered by the treatment. These recordings revealed that the large conductance [Ca²⁺]i-activated potassium currents were reduced in antisense-treated neurons and that blocking this current mimicked the effects of the anti-sense on SCN firing rate. These results indicate that the circadian clock gene Per1 alters firing rate in SCN neurons and raise the possibility that the large conductance [Ca²⁺]i-activated channel is one of the targets.     

Potassium modulation of taurine transport across the frog retinal pigment epithelium

Net taurine transport across the frog retinal pigment epithelium-choroid was measured as a function of extracellular potassium concentration, [K+]o. The net rate of retina-to-choroid transport increased monotonically as [K+]o increased from 0.2 mM to 2 mM on the apical (neural retinal) side of the tissue. No further increase was observed when [k+]o was elevated to 5 mM. The [K+]o changes that modulate taurine transport approximate the light-induced [K+]o changes that occur in the extracellular space separating the photoreceptors and the apical membrane of the pigment epithelium. The taurine-potassium interaction was studied by using rubidium as a substitute for potassium and measuring active rubidium transport as a function of extracellular taurine concentration. An increase in apical taurine concentration, from 0.2 mM to 2 mM, produced a threefold increase in active rubidium transport, retina to choroid. Net taurine transport can also be altered by relatively large, 55 mM, changes in [Na+]o. Apical ouabain, 10(-4) M, inhibited active taurine, rubidium, and potassium transport; in the case of taurine, this inhibition is most likely due to a decrease in the sodium electrochemical gradient. In sum, these results suggest that the apical membrane contains a taurine, sodium co-transport mechanism whose rate is modulated, indirectly, through the sodium pump. This pump has previously been shown to be electrogenic and located on the apical membrane, and its rate is modulated, indirectly, by the taurine co-transport mechanism.     

Bcl-2 Protects Neural Cells from Cyanide/Aglycemia-Induced Lipid Oxidation, Mitochondrial Injury, and Loss of Viability

Abstract: The protooncogene bcl-2 rescues cells from a wide variety of insults. Recent evidence suggests that the mechanism of action of Bcl-2 involves antioxidant activity. The involvement of free radicals in ischemia/reperfusion injury to neural cells has led us to investigate the effect of Bcl-2 in a model of delayed neural cell death. We have examined the survival of control and bcl-2 transfectants of a hypothalamic tumor cell line, GT1-7, exposed to potassium cyanide in the absence of glucose (chemical hypoxia/aglycemia). After 30 min of treatment, no loss of viability was evident in control or bcl-2 transfectants; however, Bcl-2-expressing cells were protected from delayed cell death measured following 24–72 h of reoxygenation. Under these conditions, the rate and extent of ATP depletion in response to treatment with cyanide in the absence of glucose and the rate of recovery of ATP during reenergization were similar in control and Bcl-2-expressing cells. Bcl-2-expressing cells were protected from oxidative damage resulting from this treatment, as indicated by significantly lower levels of oxidized lipids. Mitochondrial respiration in control but not Bcl-2-expressing cells was compromised immediately following hypoxic treatment. These results indicate that Bcl-2 can protect neural cells from delayed death resulting from chemical hypoxia and reenergization, and may do so by an antioxidant mechanism. The results thereby provide evidence that Bcl-2 or a Bcl-2 mimetic has potential therapeutic application in the treatment of neuropathologies involving oxidative stress, including focal and global cerebral ischemia.