A lesson for us all: the Hodgkin-Keynes long pore model of ion flux.

In this article we analyze the classic Hodgkin and Keynes 1955 paper describing investigations of the independence principle, with the expectation that there is much students and educators can learn from such exercises, most notably how the authors applied their diverse skill set to tackling the numerous obstacles that the study presented. The paper encompasses three of the physiology core concepts, cell membranes, flow down gradients, and scientific reasoning, which were recently assigned to the classes The Biological World, The Physical World, and Ways of Looking at the World, respectively. Thus, analysis of such a paper illuminates the relationships that exist between distinct concepts and encourages a holistic approach to understanding physiology. In-depth analysis of the paper allows us to follow the authors' thought processes from their realization that previous methods lacked the resolution to answer a fundamental question relating to ion movement across membranes to the application of a more sensitive technique and ultimately the development of a novel model describing ion flux. This paper was the culmination of work started in the mid-1930s, strongly supported the ionic theory of nervous conduction proposed by Hodgkin and Huxley, and predicted the presence of ion channels as narrow pores through which ions move sequentially four decades before these features were convincingly demonstrated.NEW & NOTEWORTHY We describe in detail Hodgkin and Keynes' investigation of the independence principle. It is our expectation that students and educators can benefit from following the thought processes applied by the authors as they navigated the complexities of experimental design and data analysis, culminating in development of a model whose elegant simplicity was convincing evidence of narrow membrane-bound pores, ion channels, that were the conduit for transmembrane ion movement.

Activity-Dependent Fluctuations in Interstitial [K+]: Investigations Using Ion-Sensitive Microelectrodes.

In the course of action potential firing, all axons and neurons release K+ from the intra- cellular compartment into the interstitial space to counteract the depolarizing effect of Na+ influx, which restores the resting membrane potential. This efflux of K+ from axons results in K+ accumulation in the interstitial space, causing depolarization of the K+ reversal potential (EK), which can prevent subsequent action potentials. To ensure optimal neuronal function, the K+ is buffered by astrocytes, an energy-dependent process, which acts as a sink for interstitial K+, absorbing it at regions of high concentration and distributing it through the syncytium for release in distant regions. Pathological processes in which energy production is compromised, such as anoxia, ischemia, epilepsy and spreading depression, can lead to excessive interstitial K+ accumulation, disrupting sensitive trans-membrane ion gradients and attenuating neuronal activity. The changes that occur in interstitial [K+] resulting from both physiological and pathological processes can be monitored accurately in real time using K+-sensitive microelectrodes, an invaluable tool in electrophysiological studies.

The Nernst equation: using physico-chemical laws to steer novel experimental design.

The application of physico-chemical principles has been routinely used to explain various physiological concepts. The Nernst equation is one example of this, used to predict the potential difference created by the transmembrane ion gradient resulting from uneven ion distribution within cellular compartments and the interstitial space. This relationship remains of fundamental importance to the understanding of electrical signaling in the brain, which relies on current flow across cell membranes. We describe four distinct occasions when the Nernst equation was ingeniously applied in experimental design to illuminate diverse cellular functions, from the dependence of the action potential on Na+ influx to K+ buffering in astrocytes. These examples are discussed with the aim of inspiring students to appreciate how the application of seemingly textbook-bound concepts can dictate novel experimental design across physiological disciplines.

A color-coded graphical guide to the Hodgkin and Huxley papers.

The five papers published by Hodgkin and Huxley in 1952 are seminal works in the field of physiology, earning their authors the Nobel Prize in 1963 and ushering in the era of membrane biophysics. The papers present a considerable challenge to the novice student, but this has been partly allayed by recent publications that have updated the reporting of current and voltage to reflect the modern convention and two books that describe the contents of the papers in detail. A disadvantage is that these guides contain hundreds of pages, requiring considerable time and energy on behalf of the reader. We present a concise guide to the Hodgkin and Huxley papers that includes only essential content, with the data presented in a linear and logical manner. We have color-coded figures for ease of understanding and included boxes that summarize key information for easy reference. It is our expectation that this article will act as an accessible introduction for students to the work of Hodgkin and Huxley and hopefully foster an appreciation for a fascinating story that repays in-depth study.NEW & NOTEWORTHY The Hodgkin and Huxley papers continue to inspire and intimidate, 70 years after their publication. The diverse subjects they cover include advanced experimental procedures, complex data analysis, calculus, and modeling, all of which ensure the papers can present a challenging read. We present a concise guide to the papers that includes only essential content depicted in color-coded graphs, allowing tracking of data from recordings to analysis and incorporation into the model to ease understanding.

A classic experiment revisited: membrane permeability changes during the action potential.

The ability to understand the relationship between the reversal potential and the membrane potential is a fundamental skill that must be mastered by students studying membrane excitability. To clarify this relationship, we have reframed a classic experiment carried out by Hodgkin and Katz, where we compare graphically the membrane potential at three phases of the action potential (resting potential, action potential peak, and afterhyperpolarization) to reversal potential for K+ (EK), reversal potential for Na (ENa), and membrane potential (Em) (calculated by the Goldman Hodgkin Katz equation) to illustrate that the membrane potential approaches the reversal potential of the ion to which it is most permeable at that instant.

A primer on tissue pH and local anesthetic potency.

The relationship between pH, pKa, and degree of local anesthetic ionization is quantified by the Henderson-Hasselbalch equation. As presented in standard textbooks, the effect of pH on the degree of ionization of any particular local anesthetic is not immediately clear due to the x-axis displaying pH - pKa, which requires conversion to pH, based on the pKa for each local anesthetic, a complex process. We present a graphical solution that clarifies the interrelationships between pH, pKa, and degree of ionization by plotting pKa on the x-axis versus the percentage of unionized local anesthetic on the y-axis. The vertical intercept from the x-axis to the pH curves allows rapid and accurate estimation of the degree of ionization of any local anesthetic of known pKa.

Fibre sub-type specific conduction reveals metabolic function in mouse sciatic nerve.

KEY POINTS: We have developed an improved method that enables simultaneous recording of stimulus evoked compound action potentials from large myelinated A fibres and small unmyelinated C fibres in mouse sciatic nerves. Investigations into the ability of fructose to support conduction in sciatic nerve revealed a novel glia-to-axon metabolic pathway in which fructose is converted in Schwann cells to lactate for subsequent shuttling to A fibres. The C fibres most likely directly take up and metabolise fructose. These differences are indicative of fibre sub-type specific metabolic profiles. These results demonstrate that the physiological insights provided by the method can be applied to investigations of peripheral nerve, with a view to understanding the metabolic disruptions that underlie diabetic neuropathy. ABSTRACT: The stimulus evoked compound action potential (CAP), recorded using suction electrodes, provides an index of the relative number of conducting axons within a nerve trunk. As such the CAP has been used to elucidate the diverse mechanisms of injury resulting from a variety of metabolic insults to central nervous white matter, whilst also providing a model with which to assess the benefits of clinically relevant neuroprotective strategies. In addition the technique lends itself to the study of metabolic cell-to-cell signalling that occurs between glial cells and neurones, and to exploring the ability of non-glucose substrates to support axon conduction. Although peripheral nerves are sensitive to metabolic insult and are susceptible to diabetic neuropathy, there is a lack of fundamental information regarding peripheral nerve metabolism. A confounding factor in such studies is the extended duration demanded by the experimental protocol, requiring stable recording for periods of many hours. We describe a method that allows us to record simultaneously the stimulus evoked CAPs from A and C fibres from mouse sciatic nerve, and demonstrate its utility as applied to investigations into fibre sub-type substrate use. Our results suggest that C fibres directly take up and metabolise fructose, whereas A fibre conduction is supported by fructose-derived lactate, implying there exist unique metabolic profiles in neighbouring fibre sub-types present within the same nerve trunk.

A Lifetime's Adventure in Extracellular K+ Regulation: The Scottish Connection.

In a career that has spanned 45 years and shows no signs of slowing down, Dr Bruce Ransom has devoted considerable time and energy to studying regulation of interstitial K+. When Bruce commenced his studies in 1969 virtually nothing was known of the functions of glial cells, but Bruce's research contributed to the physiological assignation of function to mammalian astrocytes, namely interstitial K+ buffering. The experiments that I describe in this review concern the response of the membrane potential (Em) of in vivo cat cortical astrocytes to changes in [K+]o, an experimental manoeuvre that was achieved in two different ways. The first involved recording the Em of an astrocyte while the initial aCSF was switched to one with different K+, whereas in the second series of experiments the cortex was stimulated and the response of the astrocyte Em to the K+ released from neighbouring neurons was recorded. The astrocytes responded in a qualitatively predictable manner, but quantitatively the changes were not as predicted by the Nernst equation. Elevations in interstitial K+ are not sustained and K+ returns to baseline rapidly due to the buffering capacity of astrocytes, a phenomenon studied by Bruce, and his son Chris, published 27 years after Bruce's initial publications. Thus, a lifetime spent investigating K+ buffering has seen enormous advances in glial research, from the time cells were identified as 'presumed' glial cells or 'silent cells', to the present day, where glial cells are recognised as contributing to every important physiological brain function.

The critical role of logarithmic transformation in Nernstian equilibrium potential calculations.

The membrane potential, arising from uneven distribution of ions across cell membranes containing selectively permeable ion channels, is of fundamental importance to cell signaling. The necessity of maintaining the membrane potential may be appreciated by expressing Ohm's law as current = voltage/resistance and recognizing that no current flows when voltage = 0, i.e., transmembrane voltage gradients, created by uneven transmembrane ion concentrations, are an absolute requirement for the generation of currents that precipitate the action and synaptic potentials that consume >80% of the brain's energy budget and underlie the electrical activity that defines brain function. The concept of the equilibrium potential is vital to understanding the origins of the membrane potential. The equilibrium potential defines a potential at which there is no net transmembrane ion flux, where the work created by the concentration gradient is balanced by the transmembrane voltage difference, and derives from a relationship describing the work done by the diffusion of ions down a concentration gradient. The Nernst equation predicts the equilibrium potential and, as such, is fundamental to understanding the interplay between transmembrane ion concentrations and equilibrium potentials. Logarithmic transformation of the ratio of internal and external ion concentrations lies at the heart of the Nernst equation, but most undergraduate neuroscience students have little understanding of the logarithmic function. To compound this, no current undergraduate neuroscience textbooks describe the effect of logarithmic transformation in appreciable detail, leaving the majority of students with little insight into how ion concentrations determine, or how ion perturbations alter, the membrane potential.

Novel hypoglycemic injury mechanism: N-methyl-D-aspartate receptor-mediated white matter damage.

OBJECTIVE: Hypoglycemia is a common adverse event and can injure central nervous system (CNS) white matter (WM). We determined whether glutamate receptors were involved in hypoglycemic WM injury. METHODS: Mouse optic nerves (MON), CNS WM tracts, were maintained at 37°C with oxygenated artificial cerebrospinal fluid (ACSF) containing 10mM glucose. Aglycemia was produced by switching to 0 glucose ACSF. Supramaximal compound action potentials (CAPs) were elicited using suction electrodes, and axon function was quantified as the area under the CAP. Amino acid release was measured using high-performance liquid chromatography. Extracellular lactate concentration ([lactate(-)]o) was measured using an enzyme electrode. RESULTS: About 50% of MON axons were injured after 60 minutes of aglycemia (90% after 90 minutes); injury extent was not affected by animal age. Blockade of N-methyl-D-aspartate (NMDA)-type glutamate receptors improved recovery after 90 minutes of aglycemia by 250%. Aglycemic injury was increased by reducing [Mg(2+)]o or increasing [glycine]o , and decreased by lowering pHo , expected results for NMDA receptor-mediated injury. pHo increased during aglycemia due to a drop in [lactate(-)]o. Aglycemic injury was dramatically reduced in the absence of [Ca(2+)]o. Extracellular aspartate, a selective NMDA receptor agonist, increased during aglycemia ([glutamate]o fell). INTERPRETATION: Aglycemia injured WM by a unique excitotoxic mechanism involving NMDA receptors (located primarily on oligodendrocytes). During WM aglycemia, the selective NMDA agonist aspartate is released, probably from astrocytes. Injury is mediated by Ca(2+) influx through aspartate-activated NMDA receptors made permeable by an accompanying alkaline shift in pHo caused by a fall in [lactate(-)]o. These insights have important clinical implications.

Astrocyte glycogen as an emergency fuel under conditions of glucose deprivation or intense neural activity.

Energy metabolism in the brain is a complex process that is incompletely understood. Although glucose is agreed as the main energy support of the brain, the role of glucose is not clear, which has led to controversies that can be summarized as follows: the fate of glucose, once it enters the brain is unclear. It is not known the form in which glucose enters the cells (neurons and glia) within the brain, nor the degree of metabolic shuttling of glucose derived metabolites between cells, with a key limitation in our knowledge being the extent of oxidative metabolism, and how increased tissue activity alters this. Glycogen is present within the brain and is derived from glucose. Glycogen is stored in astrocytes and acts to provide short-term delivery of substrates to neural elements, although it may also contribute an important component to astrocyte metabolism. The roles played by glycogen awaits further study, but to date its most important role is in supporting neural elements during increased firing activity, where signaling molecules, proposed to be elevated interstitial K(+), indicative of elevated neural firing rates, activate glycogen phosphorylase leading to increased production of glycogen derived substrate.

Pluralistic roles for glycogen in the central and peripheral nervous systems.

Glycogen is present in the mammalian nervous system, but at concentrations of up to one hundred times lower than those found in liver and skeletal muscle. This relatively low concentration has resulted in neglect of assigning a role(s) for brain glycogen, but in the last 15 years enormous progress has been made in revealing the multifaceted roles that glycogen plays in the mammalian nervous system. Initial studies highlighted a role for glycogen in supporting neural elements (neurons and axons) during aglycemia, where glycogen supplied supplementary energy substrate in the form of lactate to fuel neural oxidative metabolism. The appropriate enzymes and membrane bound transporters have been localized to cellular locations consistent with astrocyte to neuron energy substrate shuttling. A role for glycogen in supporting the induction of long term potential (LTP) in the hippocampus has recently been described, where glycogen is metabolized to lactate and shuttled to neurons via the extracellular space by monocarboxylate transporters, where it plays an integral role in the induction process of LTP. This is the first time that glycogen has been assigned a role in a distinct, complex physiological brain function, where the lack of glycogen, in the presence of normoglycemia, results in disturbance of the function. The signalling pathway that alerts astrocytes to increased neuronal activity has been recently described, highlighting a pivotal role for increased extracellular potassium ([K(+)]o) that routinely accompanies increased neural activity. An astrocyte membrane bound bicarbonate transporter is activated by the [K(+)]o, the resulting increase in intracellular bicarbonate alkalizing the cell's interior and activating soluble adenyl cyclase (sAC). The sAC promotes glycogenolysis via increases in cyclic AMP, ultimately producing lactate, which is shuttled out of the astrocyte and presumably taken up by neurons from the extracellular space.

Revision workshops in elementary mathematics enhance student performance in routine laboratory calculations.

The ability to understand and implement calculations required for molarity and dilution computations that are routinely undertaken in the laboratory are essential skills that should be possessed by all students entering an undergraduate Life Sciences degree. However, it is increasingly recognized that the majority of these students are ill equipped to reliably carry out such calculations. There are several factors that conspire against students' understanding of this topic, with the alien concept of the mole in relation to the mass of compounds and the engineering notation required when expressing the relatively small quantities typically involved being two key examples. In this report, we highlight teaching methods delivered via revision workshops to undergraduate Life Sciences students at the University of Nottingham. Workshops were designed to 1) expose student deficiencies in basic numeracy skills and remedy these deficiencies, 2) introduce molarity and dilution calculations and illustrate their workings in a step-by-step manner, and 3) allow students to appreciate the magnitude of numbers. Preworkshop to postworkshop comparisons demonstrated a considerable improvement in students' performance, which attenuated with time. The findings of our study suggest that an ability to carry out laboratory calculations cannot be assumed in students entering Life Sciences degrees in the United Kingdom but that explicit instruction in the form of workshops improves proficiency to a level of competence that allows students to prosper in the laboratory environment.

Glycogen function in adult central and peripheral nerves.

We studied the roles of glycogen in axonal pathways of the central nervous system (CNS) and peripheral nervous system (PNS). By using electrophysiological recordings, in combination with biochemical glycogen assay, it was possible to determine whether glycogen was crucial to axon function under different conditions. Glycogen was present both in mouse optic nerve (MON) and in mouse sciatic nerve (MSN). Aglycemia caused loss of the compound action potential (CAP) in both pathways after a latency of 15 min (MON) and 120 min for myelinated axons (A fibers) in the MSN. With the exception of unmyelinated axons (C fibers) in the MSN, CAP decline began when usable glycogen was exhausted. Glycogen was located in astrocytes in the MON and in myelinating Schwann cells in the MSN; it was absent from the Schwann cells surrounding unmyelinated C fibers. In MON, astrocytic glycogen is metabolized to lactate and "shuttled" to axons to support metabolism. The ability of lactate to support A fiber conduction in the absence of glucose suggests a common pathway in both the CNS and the PNS. Lactate is released from MON and MSN in substantial quantities. That lactate levels fall in MSN in the presence of diaminobenzidine, which inhibits glycogen phosphorylase, strongly suggests that glycogen metabolism contributes to lactate release under resting conditions. Glycogen is a "backup" energy substrate in both the CNS and the PNS and, beyond sustaining excitability during glucose deprivation, has the capacity to subsidize the axonal energy demands during times of intense activity in the presence of glucose.

Schwann cell glycogen selectively supports myelinated axon function.

OBJECTIVE: Interruption of energy supply to peripheral axons is a cause of axon loss. We determined whether glycogen was present in mammalian peripheral nerve, and whether it supported axon conduction during aglycemia. METHODS: We used biochemical assay and electron microscopy to determine the presence of glycogen, and electrophysiology to monitor axon function. RESULTS: Glycogen was present in sciatic nerve, its concentration varying directly with ambient glucose. Electron microscopy detected glycogen granules primarily in myelinating Schwann cell cytoplasm, and these diminished after exposure to aglycemia. During aglycemia, conduction failure in large myelinated axons (A fibers) mirrored the time course of glycogen loss. Latency to compound action potential (CAP) failure was directly related to nerve glycogen content at aglycemia onset. Glycogen did not benefit the function of slow-conducting, small-diameter unmyelinated axons (C fibers) during aglycemia. Blocking glycogen breakdown pharmacologically accelerated CAP failure during aglycemia in A fibers, but not in C fibers. Lactate was as effective as glucose in supporting sciatic nerve function, and was continuously released into the extracellular space in the presence of glucose and fell rapidly during aglycemia. INTERPRETATION: Our findings indicated that glycogen is present in peripheral nerve, primarily in myelinating Schwann cells, and exclusively supports large-diameter, myelinated axon conduction during aglycemia. Available evidence suggests that peripheral nerve glycogen breaks down during aglycemia and is passed, probably as lactate, to myelinated axons to support function. Unmyelinated axons are not protected by glycogen and are more vulnerable to dysfunction during periods of hypoglycemia. .

Resilience of compound action potential peaks to high-frequency firing in the mouse optic nerve.

Action potential conduction in axons triggers trans-membrane ion movements, where Na+ enters and K+ leaves axons, leading to disruptions in resting trans-membrane ion gradients that must be restored for optimal axon conduction, an energy dependent process. The higher the stimulus frequency, the greater the ion movements and the resulting energy demand. In the mouse optic nerve (MON), the stimulus evoked compound action potential (CAP) displays a triple peaked profile, consistent with subpopulations of axons classified by size producing the distinct peaks. The three CAP peaks show differential sensitivity to high-frequency firing, with the large axons, which contribute to the 1st peak, more resilient than the small axons, which produce the 3rd peak. Modeling studies predict frequency dependent intra-axonal Na+ accumulation at the nodes of Ranvier, sufficient to attenuate the triple peaked CAP. Short bursts of high-frequency stimulus evoke transient elevations in interstitial K+ ([K+ ]o ), which peak at about 50 Hz. However, powerful astrocytic buffering limits the [K+ ]o increase to levels insufficient to cause CAP attenuation. A post-stimulus [K+ ]o undershoot below baseline coincides with a transient increase in the amplitudes of all three CAP peaks. The volume specific scaling relating energy expenditure to increasing axon size dictates that large axons are more resilient to high-frequency firing than small axons.