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      Biophysical models reveal the relative importance of transporter proteins and impermeant anions in chloride homeostasis

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          Abstract

          Fast synaptic inhibition in the nervous system depends on the transmembrane flux of Cl - ions based on the neuronal Cl - driving force. Established theories regarding the determinants of Cl - driving force have recently been questioned. Here, we present biophysical models of Cl - homeostasis using the pump-leak model. Using numerical and novel analytic solutions, we demonstrate that the Na +/K +-ATPase, ion conductances, impermeant anions, electrodiffusion, water fluxes and cation-chloride cotransporters (CCCs) play roles in setting the Cl - driving force. Our models, together with experimental validation, show that while impermeant anions can contribute to setting [Cl -] i in neurons, they have a negligible effect on the driving force for Cl - locally and cell-wide. In contrast, we demonstrate that CCCs are well-suited for modulating Cl - driving force and hence inhibitory signaling in neurons. Our findings reconcile recent experimental findings and provide a framework for understanding the interplay of different chloride regulatory processes in neurons.

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          Cells called neurons in the brain communicate by triggering or inhibiting electrical activity in other neurons. To inhibit electrical activity, a signal from one neuron usually triggers specific receptors on the second neuron to open, which allows particles called chloride ions to flow into or out of the neuron.

          The force that moves chloride ions (the so-called ‘chloride driving force’) depends on two main factors. Firstly, chloride ions, like other particles, tend to move from an area where they are plentiful to areas where they are less abundant. Secondly, chloride ions are negatively charged and are therefore attracted to areas where the net charge (determined by the mix of positively and negatively charged particles) is more positive than their current position.

          It was previously believed that a group of proteins known as CCCs, which transport chloride ions and positive ions together across the membranes surrounding cells, sets the chloride driving force. However, it has recently been suggested that negatively charged ions that are unable to cross the membrane (or ‘impermeant anions’ for short) may set the driving force instead by contributing to the net charge across the membrane. Düsterwald et al. used a computational model of the neuron to explore these two possibilities.

          In the simulations, altering the activity of the CCCs led to big changes in the chloride driving force. Changing the levels of impermeant anions altered the volume of cells, but did not drive changes in the chloride driving force. This was because the flow of chloride ions across the membrane led to a compensatory change in the net charge across the membrane.

          Düsterwald et al. then used an experimental technique called patch-clamping in mice and rats to confirm the model’s predictions. Defects in controlling the chloride driving force in brain cells have been linked with epilepsy, stroke and other neurological diseases. Therefore, a better knowledge of these mechanisms may in future help to identify the best targets for drugs to treat such conditions.

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          Most cited references61

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          A resource of Cre driver lines for genetic targeting of GABAergic neurons in cerebral cortex.

          A key obstacle to understanding neural circuits in the cerebral cortex is that of unraveling the diversity of GABAergic interneurons. This diversity poses general questions for neural circuit analysis: how are these interneuron cell types generated and assembled into stereotyped local circuits and how do they differentially contribute to circuit operations that underlie cortical functions ranging from perception to cognition? Using genetic engineering in mice, we have generated and characterized approximately 20 Cre and inducible CreER knockin driver lines that reliably target major classes and lineages of GABAergic neurons. More select populations are captured by intersection of Cre and Flp drivers. Genetic targeting allows reliable identification, monitoring, and manipulation of cortical GABAergic neurons, thereby enabling a systematic and comprehensive analysis from cell fate specification, migration, and connectivity, to their functions in network dynamics and behavior. As such, this approach will accelerate the study of GABAergic circuits throughout the mammalian brain. Copyright © 2011 Elsevier Inc. All rights reserved.
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            A simple method for organotypic cultures of nervous tissue.

            Hippocampal slices prepared from 2-23-day-old neonates were maintained in culture at the interface between air and a culture medium. They were placed on a sterile, transparent and porous membrane and kept in petri dishes in an incubator. No plasma clot or roller drum were used. This method yields thin slices which remain 1-4 cell layers thick and are characterized by a well preserved organotypic organization. Pyramidal neurons labelled by extra- and intracellular application of horse radish peroxidase resemble by the organization and complexity of their dendritic processes those observed in situ at a comparable developmental stage. Excitatory and inhibitory synaptic potentials can easily be analysed using extra- or intracellular recording techniques. After a few days in culture, long-term potentiation of synaptic responses can reproducibly be induced. Evidence for a sprouting response during the first days in culture or following sections is illustrated. This technique may represent an interesting alternative to roller tube cultures for studies of the developmental changes occurring during the first days or weeks in culture.
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              Trans-synaptic shift in anion gradient in spinal lamina I neurons as a mechanism of neuropathic pain.

              Modern pain-control theory predicts that a loss of inhibition (disinhibition) in the dorsal horn of the spinal cord is a crucial substrate for chronic pain syndromes. However, the nature of the mechanisms that underlie such disinhibition has remained controversial. Here we present evidence for a novel mechanism of disinhibition following peripheral nerve injury. It involves a trans-synaptic reduction in the expression of the potassium-chloride exporter KCC2, and the consequent disruption of anion homeostasis in neurons of lamina I of the superficial dorsal horn, one of the main spinal nociceptive output pathways. In our experiments, the resulting shift in the transmembrane anion gradient caused normally inhibitory anionic synaptic currents to be excitatory, substantially driving up the net excitability of lamina I neurons. Local blockade or knock-down of the spinal KCC2 exporter in intact rats markedly reduced the nociceptive threshold, confirming that the reported disruption of anion homeostasis in lamina I neurons was sufficient to cause neuropathic pain.
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                Author and article information

                Contributors
                Role: Reviewing Editor
                Role: Senior Editor
                Journal
                eLife
                Elife
                eLife
                eLife
                eLife Sciences Publications, Ltd
                2050-084X
                27 September 2018
                2018
                : 7
                : e39575
                Affiliations
                [1 ]deptDivision of Cell Biology, Department of Human Biology, Faculty of Health Sciences University of Cape Town Cape TownSouth Africa
                [2 ]deptNeuroscience Institute University of Cape Town Cape TownSouth Africa
                [3 ]deptInstitute of Infectious Disease and Molecular Medicine University of Cape Town Cape TownSouth Africa
                [4 ]deptDepartment of Pharmacology University of Oxford OxfordUnited Kingdom
                [5 ]deptDepartment of Biology University of Iowa Iowa City IowaUnited States
                National Institute of Neurological Disorders and Stroke, National Institutes of Health United States
                The University of Texas at Austin United States
                National Institute of Neurological Disorders and Stroke, National Institutes of Health United States
                Case Western Reserve University United States
                National Institute of Neurological Disorders and Strokes United States
                Author notes
                [†]

                These authors contributed equally to this work.

                Author information
                http://orcid.org/0000-0003-3217-5326
                https://orcid.org/0000-0002-4809-5059
                https://orcid.org/0000-0003-3107-7871
                https://orcid.org/0000-0001-6844-4984
                https://orcid.org/0000-0002-2820-6188
                http://orcid.org/0000-0002-8266-3128
                Article
                39575
                10.7554/eLife.39575
                6200395
                30260315
                1127d1e2-6368-4e26-b804-5ad9adbeab2f
                © 2018, Düsterwald et al

                This article is distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use and redistribution provided that the original author and source are credited.

                History
                : 26 June 2018
                : 24 September 2018
                Funding
                Funded by: Mandela Rhodes Foundation;
                Award Recipient :
                Funded by: FundRef http://dx.doi.org/10.13039/501100001655, Deutscher Akademischer Austauschdienst;
                Award ID: DAAD-NRF
                Award Recipient :
                Funded by: National Research Foundation of South Africa;
                Award ID: DAAD-NRF
                Award Recipient :
                Funded by: FundRef http://dx.doi.org/10.13039/100010663, H2020 European Research Council;
                Award ID: ERC Grant Agreement 617670
                Award Recipient :
                Funded by: FundRef http://dx.doi.org/10.13039/100010897, Newton Fund;
                Award Recipient :
                Funded by: FundRef http://dx.doi.org/10.13039/501100001703, École Polytechnique Fédérale de Lausanne;
                Award ID: Blue Brain Project
                Award Recipient :
                The funders had no role in study design, data collection and interpretation, or the decision to submit the work for publication.
                Categories
                Research Article
                Computational and Systems Biology
                Neuroscience
                Custom metadata
                Mathematical models with experimental validation show that chloride transporters in the cell membrane, and not negatively charged impermeant molecules, generate the driving force used by GABA receptors to silence neurons.

                Life sciences
                chloride,kcc2,impermeant anions,cation-chloride cotransport,nak-atpase,synaptic inhibition,mouse,rat

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