2018
DOI: 10.12688/f1000research.16169.2
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A thermodynamic description for physiological transmembrane transport

Abstract: A general formulation for both passive and active transmembrane transport is derived from basic thermodynamical principles. The derivation takes into account the energy required for the motion of molecules across membranes, and includes the possibility of modeling asymmetric flow. Transmembrane currents can then be described by the general model in the case of electrogenic flow. As it is desirable in new models, it is possible to derive other well known expressions for transmembrane currents as particular case… Show more

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Cited by 5 publications
(21 citation statements)
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“…Together with astrocytic uptake mechanisms, the exchanger pump would strive towards maintaining extra- and intracellular ion concentrations close to baseline levels. For a biophysical modeling scheme that derives the transmembrane transport through channels and pumps from first principles, see e.g., [ 57 , 58 ]. In the presence of such mechanisms, the single-neuron contribution to ECS concentration shifts would likely be smaller than in the simulations presented here, or would require a higher neural activity level in order to occur.…”
Section: Discussionmentioning
confidence: 99%
“…Together with astrocytic uptake mechanisms, the exchanger pump would strive towards maintaining extra- and intracellular ion concentrations close to baseline levels. For a biophysical modeling scheme that derives the transmembrane transport through channels and pumps from first principles, see e.g., [ 57 , 58 ]. In the presence of such mechanisms, the single-neuron contribution to ECS concentration shifts would likely be smaller than in the simulations presented here, or would require a higher neural activity level in order to occur.…”
Section: Discussionmentioning
confidence: 99%
“…The derivation draws from current knowledge about the structure of the membrane and its transmembrane proteins, and stems from a separating the ion-impermeable and ion-permeable aspects of the membrane, as referred by Cole and Curtis and other authors. The new equation is in line with the derivation of the the thermodynamic model (Herrera- Valdez, 2018), in that it only considers basic biophysical principles to describe the elements in a system that include a membrane, and ions in solution.…”
Section: Discussionmentioning
confidence: 79%
“…Exponentially increasing charge density around the membrane. Another possibility similar to the current densities from the thermodynamic model (Herrera- Valdez, 2018), is that Q a (v) is a hyperbolic sine. In this case,…”
Section: Two Nonlinear Voltage Dependent Profiles For the Density Of mentioning
confidence: 95%
“…In particular, Ca 2+ dynamics are important for producing adaptation and burst firing in CA1 PCs (for review see [49]). The model dynamics are therefore described by three ordinary differential equations for the time-dependent changes in the transmembrane potential ( v , in mV), the proportion of open K + channels ( w in [0,1]), and the intracellular Ca 2+ concentration ( c , in μ M), respectively [46]. Based on a well known relationship between voltage-dependent activation of K + delayed rectifier channels and inactivation of Na + channels, w also represents the proportion of inactivated Na + channels [5254].…”
Section: Methodsmentioning
confidence: 99%
“…Finally, the existing model formulations are conductance-based (e.g. Hodgkin-Huxley type [45]), which only takes into account linear approximations of the fluxes that make up the transmembrane currents [46]. Our previous work shows that mathematical expressions for ionic currents for different passive and active transport mechanisms can be derived from first principles of thermodynamics [46][47][48], using a common functional form.…”
Section: Introductionmentioning
confidence: 99%