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1.
J Physiol ; 601(23): 5147-5164, 2023 Dec.
Artigo em Inglês | MEDLINE | ID: mdl-37837315

RESUMO

Many neurons that fire high-frequency action potentials express specialized voltage-gated Na channel complexes that not only conduct transient current upon depolarization, but also pass resurgent current upon repolarization. The resurgent current is associated with recovery of transient current, even at moderately negative potentials where fast inactivation is usually absorbing. The combined results of many experimental studies have led to the hypothesis that resurgent current flows upon repolarization when an endogenous blocking protein that occludes open channels at depolarized potentials is expelled by inwardly permeating Na ions. Additional observations have suggested that the position of the voltage sensor of domain IV regulates the affinity of the channel for the putative blocker. To test the effectiveness of a kinetic scheme incorporating these features, here we develop and justify a Markov model with states grounded in known Na channel conformations. Simulations were designed to investigate whether including a permeation-dependent unblocking rate constant and two open-blocked states, superimposed on conformations and voltage-sensitive movements present in all voltage-gated Na channels, is sufficient to account for the unusual gating of channels with a resurgent component. Optimizing rate constant parameters against a wide range of experimental data from cerebellar Purkinje cells demonstrates that a kinetic scheme for Na channels incorporating the novel aspects of a permeation-dependent unblock, as well as distinct high- and low-affinity blocked states, reproduces all the attributes of experimentally recorded Na currents in a physiologically plausible manner.


Assuntos
Células de Purkinje , Canais de Sódio , Canais de Sódio/metabolismo , Células de Purkinje/fisiologia , Neurônios/fisiologia , Potenciais de Ação
2.
Integr Zool ; 17(4): 567-580, 2022 Jul.
Artigo em Inglês | MEDLINE | ID: mdl-34254727

RESUMO

Trait specialization often comes at the expense of original trait function, potentially causing evolutionary tradeoffs that may render specialist populations vulnerable to extinction. However, many specialized adaptations evolve repeatedly, suggesting selection favors specialization in specific environments. Some garter snake (Thamnophis) populations possess specialized mutations in voltage-gated sodium channels that allow them to consume Pacific newts (Taricha) defended by a highly potent neurotoxin (tetrodotoxin). These mutations, however, also decrease protein and muscle function, suggesting garter snakes may suffer evolutionary tradeoffs. We measured a key physiological process, standard metabolic rate (SMR), to investigate whether specialized adaptations in toxin-resistant garter snakes affect baseline energy expenditure. In snakes, skeletal muscles influence metabolism and power ventilation, so inefficiencies of sodium channels in these muscles might impact whole-animal energy expenditure. Further, because sodium channels are membrane-bound proteins, inefficiencies of channel kinetics and performance might be exacerbated at suboptimal temperatures. We measured SMR in 2 species, Thamnophis atratus and Thamnophis sirtalis, that independently evolved tetrodotoxin resistance through unique mutations, providing replicate experiments with distinct underlying genetics and potential physiological costs. Despite our expectations, neither resistance phenotype nor sodium channel genotype affected metabolism and resistant snakes did not perform worse under suboptimal body temperature. Instead, T. atratus and T. sirtalis show nearly identical rates of mass-adjusted energy expenditure at both temperatures, despite differing eco-morphologies, life histories, and distant phylogenetic positions. These findings suggest SMR may be a conserved feature of Thamnophis, and that any organismal tradeoffs may be compensated to retain whole-animal function.


Assuntos
Colubridae , Adaptação Fisiológica/genética , Animais , Colubridae/genética , Filogenia , Canais de Sódio/genética , Canais de Sódio/metabolismo , Tetrodotoxina
3.
Med Biol Eng Comput ; 58(9): 2131-2141, 2020 Sep.
Artigo em Inglês | MEDLINE | ID: mdl-32676840

RESUMO

The fast hybrid operator splitting (HOS) and stable uniformization (UNI) methods have been proposed to save computation cost and enhance stability for Markov chain model in cardiac cell simulations. Moreover, Chen-Chen-Luo's quadratic adaptive algorithm (CCL) combined with HOS or UNI was used to improve the tradeoff between speedup and stability, but without considering accuracy. To compromise among stability, acceleration, and accuracy, we propose a generalized Trotter operator splitting (GTOS) method combined with CCL independent of the asymptotic property of a particular ion-channel model. Due to the accuracy underestimation of the mixed root mean square error (MRMSE) method, threshold root mean square error (TRMSE) is proposed to evaluate computation accuracy. With the fixed time-step RK4 as a reference, the second-order GTOS combined with CCL (30.8-fold speedup) for the wild-type Markov chain model with nine states (WT-9 model) or (7.4-fold) for the wild-type Markov chain model with eight states (WT-8 model) is faster than UNI combined with CCL (15.6-fold) for WT-9 model or (1.2-fold) for WT-8 model, separately. Besides, the second-order GTOS combined with CCL has 3.81% TRMSE for WT-9 model or 4.32% TRMSE for WT-8 model more accurate than 72.43% TRMSE for WT-9 model or 136.17% TRMSE for WT-8 model of HOS combined with CCL. To compromise speedup and accuracy, low-order GTOS combined with CCL is suggested to have the advantages of high precision and low computation cost. For high-accuracy requirements, high-order GTOS combined with CCL is recommended. Graphical abstract.


Assuntos
Ventrículos do Coração/citologia , Ventrículos do Coração/metabolismo , Modelos Cardiovasculares , Canais de Sódio/metabolismo , Potenciais de Ação , Algoritmos , Biologia Computacional , Simulação por Computador , Fenômenos Eletrofisiológicos , Humanos , Cadeias de Markov , Conceitos Matemáticos , Miocárdio/citologia , Miocárdio/metabolismo
4.
Med Biol Eng Comput ; 57(6): 1367-1379, 2019 Jun.
Artigo em Inglês | MEDLINE | ID: mdl-30798516

RESUMO

The Markovian model has generally been used for cardiac electrophysiological simulations. However, the Markovian model is so stiff that speeding up the computation of the algorithms with variable time-steps always results in simulation instability. In particular, the unstable simulations always occur at a low voltage rate or current change, while transition rates in the Markovian model are changing markedly. The uniformization (UNI) method allows for a Markovian model simulation with high stability but also a high computation cost. To save computation costs with variable time-steps, we propose a speed increasing idea that is a compromise to the trade-off between stability and acceleration by combining Chen-Chen-Luo's "quadratic adaptive algorithm" (CCL) method with "hybrid operator splitting" (HOS) into the solver (CCL + HOS solver). The computation cost of this CCL + HOS solver is approximately 24 times lower than the CCL + UNI solver, and the CCL + HOS solver can function 295 times faster in comparison to the HOS solver with a fixed time-step (DT). The suggested optimal solver should be CCL + HOS solver with a maximum time-step at 0.1 ms due to its high speed with low error. Additionally, the CCL method has much better performance and stability than the hybrid method in this single-cell model simulation.


Assuntos
Aceleração , Algoritmos , Ventrículos do Coração/metabolismo , Cadeias de Markov , Modelos Cardiovasculares , Canais de Sódio/metabolismo , Simulação por Computador , Análise Numérica Assistida por Computador
5.
Sci Adv ; 4(1): e1701676, 2018 01.
Artigo em Inglês | MEDLINE | ID: mdl-29349296

RESUMO

The understanding of complex physical or biological systems nearly always requires a characterization of the variability that underpins these processes. In addition, the data used to calibrate these models may also often exhibit considerable variability. A recent approach to deal with these issues has been to calibrate populations of models (POMs), multiple copies of a single mathematical model but with different parameter values, in response to experimental data. To date, this calibration has been largely limited to selecting models that produce outputs that fall within the ranges of the data set, ignoring any trends that might be present in the data. We present here a novel and general methodology for calibrating POMs to the distributions of a set of measured values in a data set. We demonstrate our technique using a data set from a cardiac electrophysiology study based on the differences in atrial action potential readings between patients exhibiting sinus rhythm (SR) or chronic atrial fibrillation (cAF) and the Courtemanche-Ramirez-Nattel model for human atrial action potentials. Not only does our approach accurately capture the variability inherent in the experimental population, but we also demonstrate how the POMs that it produces may be used to extract additional information from the data used for calibration, including improved identification of the differences underlying stratified data. We also show how our approach allows different hypotheses regarding the variability in complex systems to be quantitatively compared.


Assuntos
Conjuntos de Dados como Assunto , Fenômenos Eletrofisiológicos , Átrios do Coração/fisiopatologia , Modelos Cardiovasculares , Potenciais de Ação/fisiologia , Fibrilação Atrial/fisiopatologia , Biomarcadores/metabolismo , Calibragem , Seio Coronário/fisiopatologia , Humanos , Método de Monte Carlo , Canais de Sódio/metabolismo
6.
Chaos ; 27(9): 093937, 2017 Sep.
Artigo em Inglês | MEDLINE | ID: mdl-28964114

RESUMO

We explore the feasibility of using fast-slow asymptotics to eliminate the computational stiffness of discrete-state, continuous-time deterministic Markov chain models of ionic channels underlying cardiac excitability. We focus on a Markov chain model of fast sodium current, and investigate its asymptotic behaviour with respect to small parameters identified in different ways.


Assuntos
Ativação do Canal Iônico , Modelos Biológicos , Canais de Sódio/metabolismo , Cadeias de Markov , Fatores de Tempo
7.
IEEE J Biomed Health Inform ; 20(5): 1439-52, 2016 09.
Artigo em Inglês | MEDLINE | ID: mdl-26208370

RESUMO

Glycan structures account for up to 35% of the mass of cardiac sodium ( Nav ) channels. To question whether and how reduced sialylation affects Nav activity and cardiac electrical signaling, we conducted a series of in vitro experiments on ventricular apex myocytes under two different glycosylation conditions, reduced protein sialylation (ST3Gal4(-/-)) and full glycosylation (control). Although aberrant electrical signaling is observed in reduced sialylation, realizing a better understanding of mechanistic details of pathological variations in INa and AP is difficult without performing in silico studies. However, computer model of Nav channels and cardiac myocytes involves greater levels of complexity, e.g., high-dimensional parameter space, nonlinear and nonconvex equations. Traditional linear and nonlinear optimization methods have encountered many difficulties for model calibration. This paper presents a new statistical metamodeling approach for efficient computer experiments and optimization of Nav models. First, we utilize a fractional factorial design to identify control variables from the large set of model parameters, thereby reducing the dimensionality of parametric space. Further, we develop the Gaussian process model as a surrogate of expensive and time-consuming computer models and then identify the next best design point that yields the maximal probability of improvement. This process iterates until convergence, and the performance is evaluated and validated with real-world experimental data. Experimental results show the proposed algorithm achieves superior performance in modeling the kinetics of Nav channels under a variety of glycosylation conditions. As a result, in silico models provide a better understanding of glyco-altered mechanistic details in state transitions and distributions of Nav channels. Notably, ST3Gal4(-/-) myocytes are shown to have higher probabilities accumulated in intermediate inactivation during the repolarization and yield a shorter refractory period than WTs. The proposed statistical design of computer experiments is generally extensible to many other disciplines that involve large-scale and computationally expensive models.


Assuntos
Biologia Computacional/métodos , Modelos Teóricos , Miócitos Cardíacos , Canais de Sódio , Animais , Glicosilação , Humanos , Cadeias de Markov , Miócitos Cardíacos/citologia , Miócitos Cardíacos/metabolismo , Miócitos Cardíacos/fisiologia , Canais de Sódio/metabolismo , Canais de Sódio/fisiologia
8.
PLoS One ; 10(10): e0138679, 2015.
Artigo em Inglês | MEDLINE | ID: mdl-26460827

RESUMO

Cation selective channels constitute the gate for ion currents through the cell membrane. Here we present an improved statistical mechanical model based on atomistic structural information, cation hydration state and without tuned parameters that reproduces the selectivity of biological Na+ and Ca2+ ion channels. The importance of the inclusion of step-wise cation hydration in these results confirms the essential role partial dehydration plays in the bacterial Na+ channels. The model, proven reliable against experimental data, could be straightforwardly used for designing Na+ and Ca2+ selective nanopores.


Assuntos
Canais de Cálcio/metabolismo , Modelos Moleculares , Canais de Sódio/metabolismo , Canais de Cálcio/química , Membrana Celular/metabolismo , Método de Monte Carlo , Nanoporos , Conformação Proteica , Canais de Sódio/química , Especificidade por Substrato , Água/química
9.
PLoS One ; 8(5): e63141, 2013.
Artigo em Inglês | MEDLINE | ID: mdl-23671664

RESUMO

Mathematical models of cardiac function at the cellular level include three major components, such as electrical activity, Ca(2+) dynamics, and cellular shortening. We developed a model for mouse ventricular myocyte contraction which is based on our previously published comprehensive models of action potential and Ca(2+) handling mechanisms. The model was verified with extensive experimental data on mouse myocyte contraction at room temperature. In the model, we implemented variable sarcomere length and indirect modulation of the tropomyosin transition rates by Ca(2+) and troponin. The resulting model described well steady-state force-calcium relationships, dependence of the contraction force on the sarcomere length, time course of the contraction force and myocyte shortening, frequency dependence of the contraction force and cellular contraction, and experimentally measured derivatives of the myocyte length variation. We emphasized the importance of the inclusion of variable sarcomere length into a model for ventricular myocyte contraction. Differences in contraction force and cell shortening for epicardial and endocardial ventricular myocytes were investigated. Model applicability for the experimental studies and model limitations were discussed.


Assuntos
Algoritmos , Modelos Cardiovasculares , Miócitos Cardíacos/fisiologia , Sarcômeros/fisiologia , Animais , Cálcio/metabolismo , Canais de Cálcio Tipo L/metabolismo , Canais de Cálcio Tipo L/fisiologia , Ventrículos do Coração/citologia , Cadeias de Markov , Potenciais da Membrana/fisiologia , Camundongos , Contração Miocárdica/fisiologia , Miócitos Cardíacos/metabolismo , Sarcômeros/metabolismo , Canais de Sódio/metabolismo , Canais de Sódio/fisiologia , Tropomiosina/metabolismo , Troponina/metabolismo
10.
Toxicon ; 70: 123-34, 2013 Aug.
Artigo em Inglês | MEDLINE | ID: mdl-23651762

RESUMO

Tarantulas are included in the mygalomorph spider family Theraphosidae. Although the pharmacological diversity of theraphosid toxins (theraphotoxins) is broad, studies dedicated to the characterization of biologically active molecules from the theraphosid genus Acanthoscurria have been restricted to the investigation of antimicrobial peptides and polyamines produced by the hemocytes of Acanthoscurria gomesiana. The present study reports the purification, primary structure determination and electrophysiological effects of an anti-insect toxin, named µ-theraphotoxin-An1a (µ-TRTX-An1a), from the venom of Acanthoscurria natalensis - a tarantula species occurring in the Brazilian biomes caatinga and cerrado. The analysis of the primary structure of µ-TRTX-An1a revealed the similarity of this toxin to theraphosid toxins bearing a huwentoxin-II-like fold. Electrophysiological experiments showed that µ-TRTX-An1a (100 nM) induces membrane depolarization, increases the spontaneous firing frequency and reduces spike amplitude of cockroach dorsal unpaired median (DUM) neurons. In addition, under voltage-clamp conditions, µ-TRTX-An1a (100 nM) only partially blocks voltage-dependent sodium current amplitudes in DUM neurons without any effect on their voltage dependence. This effect correlates well with the reduction of the spontaneous action potential amplitudes. Altogether, these last results suggest that µ-TRTX-An1a affects insect neuronal voltage-dependent sodium channels, which are among possible channels targeted by this promiscuous toxin.


Assuntos
Inseticidas/farmacologia , Venenos de Aranha/farmacologia , Aranhas/química , Potenciais de Ação/efeitos dos fármacos , Sequência de Aminoácidos , Animais , Agentes de Controle Biológico , Brasil , Baratas/efeitos dos fármacos , Baratas/crescimento & desenvolvimento , Feminino , Insetos/efeitos dos fármacos , Insetos/crescimento & desenvolvimento , Dados de Sequência Molecular , Neurônios/efeitos dos fármacos , Neurônios/metabolismo , Alinhamento de Sequência , Canais de Sódio/efeitos dos fármacos , Canais de Sódio/metabolismo , Espectrometria de Massas por Ionização e Dessorção a Laser Assistida por Matriz , Espectrometria de Massas em Tandem
11.
Neuron ; 75(6): 1081-93, 2012 Sep 20.
Artigo em Inglês | MEDLINE | ID: mdl-22998875

RESUMO

Tetrodotoxin (TTX)-sensitive sodium channels carry large transient currents during action potentials and also "persistent" sodium current, a noninactivating TTX-sensitive current present at subthreshold voltages. We examined gating of subthreshold sodium current in dissociated cerebellar Purkinje neurons and hippocampal CA1 neurons, studied at 37°C with near-physiological ionic conditions. Unexpectedly, in both cell types small voltage steps at subthreshold voltages activated a substantial component of transient sodium current as well as persistent current. Subthreshold EPSP-like waveforms also activated a large component of transient sodium current, but IPSP-like waveforms engaged primarily persistent sodium current with only a small additional transient component. Activation of transient as well as persistent sodium current at subthreshold voltages produces amplification of EPSPs that is sensitive to the rate of depolarization and can help account for the dependence of spike threshold on depolarization rate, as previously observed in vivo.


Assuntos
Fenômenos Biofísicos/fisiologia , Potenciais Pós-Sinápticos Excitadores/fisiologia , Neurônios/fisiologia , Canais de Sódio/metabolismo , Animais , Animais Recém-Nascidos , Fenômenos Biofísicos/efeitos dos fármacos , Cerebelo/citologia , Estimulação Elétrica , Potenciais Pós-Sinápticos Excitadores/efeitos dos fármacos , Ácido Glutâmico/farmacologia , Hipocampo/citologia , Técnicas In Vitro , Cadeias de Markov , Camundongos , Camundongos Endogâmicos C57BL , Modelos Neurológicos , Neurônios/efeitos dos fármacos , Técnicas de Patch-Clamp , Bloqueadores dos Canais de Sódio/farmacologia , Canais de Sódio/efeitos dos fármacos , Tetrodotoxina/farmacologia
12.
J Theor Biol ; 293: 41-8, 2012 Jan 21.
Artigo em Inglês | MEDLINE | ID: mdl-21959314

RESUMO

Na(v)1.5 sodium channels, encoded by SCN5A, have been identified in human gastrointestinal interstitial cells of Cajal (ICC) and smooth muscle cells (SMC). A recent study found a novel, rare missense R76C mutation of the sodium channel interacting protein telethonin in a patient with primary intestinal pseudo-obstruction. The presence of a mutation in a patient with a motility disorder, however, does not automatically imply a cause-effect relationship between the two. Patch clamp experiments on HEK-293 cells previously established that the R76C mutation altered Na(v)1.5 channel function. Here the process through which these data were quantified to create stationary Markov state models of wild-type and R76C channel function is described. The resulting channel descriptions were included in whole cell ICC and SMC computational models and simulations were performed to assess the cellular effects of the R76C mutation. The simulated ICC slow wave was decreased in duration and the resting membrane potential in the SMC was depolarized. Thus, the R76C mutation was sufficient to alter ICC and SMC cell electrophysiology. However, the cause-effect relationship between R76C and intestinal pseudo-obstruction remains an open question.


Assuntos
Canalopatias/genética , Pseudo-Obstrução Intestinal/genética , Modelos Genéticos , Canais de Sódio/genética , Canalopatias/fisiopatologia , Células HEK293 , Humanos , Pseudo-Obstrução Intestinal/fisiopatologia , Jejuno/citologia , Jejuno/metabolismo , Cadeias de Markov , Potenciais da Membrana/fisiologia , Músculo Liso/fisiopatologia , Mutação de Sentido Incorreto , Canal de Sódio Disparado por Voltagem NAV1.5 , Técnicas de Patch-Clamp , Canais de Sódio/metabolismo
13.
Biochim Biophys Acta ; 1818(3): 592-600, 2012 Mar.
Artigo em Inglês | MEDLINE | ID: mdl-22080102

RESUMO

A reduced model of a sodium channel is analyzed using Dynamic Monte Carlo simulations. These include the first simulations of ionic current under approximately physiological ionic conditions through a model sodium channel and an analysis of how mutations of the sodium channel's DEKA selectivity filter motif transform the channel from being Na(+) selective to being Ca(2+) selective. Even though the model of the pore, amino acids, and permeant ions is simplified, the model reproduces the fundamental properties of a sodium channel (e.g., 10 to 1 Na(+) over K(+) selectivity, Ca(2+) exclusion, and Ca(2+) selectivity after several point mutations). In this model pore, ions move through the pore one at a time by simple diffusion and Na(+) versus K(+) selectivity is due to both the larger K(+) not fitting well into the selectivity filter that contains amino acid terminal groups and K(+) moving more slowly (compared to Na(+)) when it is in the selectivity filter.


Assuntos
Cálcio/metabolismo , Modelos Biológicos , Método de Monte Carlo , Potássio/metabolismo , Canais de Sódio/metabolismo , Sódio/metabolismo , Animais , Cálcio/química , Humanos , Transporte de Íons/fisiologia , Potássio/química , Sódio/química , Especificidade por Substrato/fisiologia
14.
Br J Pharmacol ; 165(5): 1424-41, 2012 Mar.
Artigo em Inglês | MEDLINE | ID: mdl-21838757

RESUMO

BACKGROUND AND PURPOSE: Cardiac toxicity is a major concern in drug development and it is imperative that clinical candidates are thoroughly tested for adverse effects earlier in the drug discovery process. In this report, we investigate the utility of an impedance-based microelectronic detection system in conjunction with mouse embryonic stem cell-derived cardiomyocytes for assessment of compound risk in the drug discovery process. EXPERIMENTAL APPROACH: Beating of cardiomyocytes was measured by a recently developed microelectronic-based system using impedance readouts. We used mouse stem cell-derived cardiomyocytes to obtain dose-response profiles for over 60 compounds, including ion channel modulators, chronotropic/ionotropic agents, hERG trafficking inhibitors and drugs known to induce Torsades de Pointes arrhythmias. KEY RESULTS: This system sensitively and quantitatively detected effects of modulators of cardiac function, including some compounds missed by electrophysiology. Pro-arrhythmic compounds produced characteristic profiles reflecting arrhythmia, which can be used for identification of other pro-arrhythmic compounds. The time series data can be used to identify compounds that induce arrhythmia by complex mechanisms such as inhibition of hERG channels trafficking. Furthermore, the time resolution allows for assessment of compounds that simultaneously affect both beating and viability of cardiomyocytes. CONCLUSIONS AND IMPLICATIONS: Microelectronic monitoring of stem cell-derived cardiomyocyte beating provides a high throughput, quantitative and predictive assay system that can be used for assessment of cardiac liability earlier in the drug discovery process. The convergence of stem cell technology with microelectronic monitoring should facilitate cardiac safety assessment.


Assuntos
Avaliação Pré-Clínica de Medicamentos/métodos , Células-Tronco Embrionárias/citologia , Miócitos Cardíacos/efeitos dos fármacos , Miócitos Cardíacos/fisiologia , Animais , Canais de Cálcio/metabolismo , Células Cultivadas , Descoberta de Drogas/métodos , Canal de Potássio ERG1 , Impedância Elétrica , Células-Tronco Embrionárias/efeitos dos fármacos , Células-Tronco Embrionárias/metabolismo , Canais de Potássio Éter-A-Go-Go/metabolismo , Camundongos , Miócitos Cardíacos/citologia , Miócitos Cardíacos/metabolismo , Canais de Potássio/metabolismo , Canais de Sódio/metabolismo , Torsades de Pointes/induzido quimicamente , Torsades de Pointes/metabolismo , Torsades de Pointes/fisiopatologia
15.
Am J Physiol Heart Circ Physiol ; 301(4): H1615-24, 2011 Oct.
Artigo em Inglês | MEDLINE | ID: mdl-21821780

RESUMO

Block of Na(+) channel conductance by ranolazine displays marked atrial selectivity that is an order of magnitude higher that of other class I antiarrhythmic drugs. Here, we present a Markovian model of the Na(+) channel gating, which includes activation-inactivation coupling, aimed at elucidating the mechanisms underlying this potent atrial selectivity of ranolazine. The model incorporates experimentally observed differences between atrial and ventricular Na(+) channel gating, including a more negative position of the steady-state inactivation curve in atrial versus ventricular cells. The model assumes that ranolazine requires a hydrophilic access pathway to the channel binding site, which is modulated by both activation and inactivation gates of the channel. Kinetic rate constants were obtained using guarded receptor analysis of the use-dependent block of the fast Na(+) current (I(Na)). The model successfully reproduces all experimentally observed phenomena, including the shift of channel availability, the sensitivity of block to holding or diastolic potential, and the preferential block of slow versus fast I(Na.) Using atrial and ventricular action potential-shaped voltage pulses, the model confirms significantly greater use-dependent block of peak I(Na) in atrial versus ventricular cells. The model highlights the importance of action potential prolongation and of a steeper voltage dependence of the time constant of unbinding of ranolazine from the atrial Na(+) channel in the development of use-dependent I(Na) block. Our model predictions indicate that differences in channel gating properties as well as action potential morphology between atrial and ventricular cells contribute equally to the atrial selectivity of ranolazine. The model indicates that the steep voltage dependence of ranolazine interaction with the Na(+) channel at negative potentials underlies the mechanism of the predominant block of I(Na) in atrial cells by ranolazine.


Assuntos
Acetanilidas/farmacologia , Coração/efeitos dos fármacos , Piperazinas/farmacologia , Bloqueadores dos Canais de Sódio , Animais , Simulação por Computador , Relação Dose-Resposta a Droga , Átrios do Coração/efeitos dos fármacos , Ventrículos do Coração/efeitos dos fármacos , Cinética , Cadeias de Markov , Modelos Biológicos , Modelos Estatísticos , Miócitos Cardíacos/efeitos dos fármacos , Ranolazina , Canais de Sódio/efeitos dos fármacos , Canais de Sódio/metabolismo
16.
J Math Biol ; 63(6): 1051-93, 2011 Dec.
Artigo em Inglês | MEDLINE | ID: mdl-21243359

RESUMO

In this paper, we present a mathematical description for excitable biological membranes, in particular neuronal membranes. We aim to model the (spatio-) temporal dynamics, e.g., the travelling of an action potential along the axon, subject to noise, such as ion channel noise. Using the framework of Piecewise Deterministic Processes (PDPs) we provide an exact mathematical description-in contrast to pseudo-exact algorithms considered in the literature-of the stochastic process one obtains coupling a continuous time Markov chain model with a deterministic dynamic model of a macroscopic variable, that is coupling Markovian channel dynamics to the time-evolution of the transmembrane potential. We extend the existing framework of PDPs in finite dimensional state space to include infinite-dimensional evolution equations and thus obtain a stochastic hybrid model suitable for modelling spatio-temporal dynamics. We derive analytic results for the infinite-dimensional process, such as existence, the strong Markov property and its extended generator. Further, we exemplify modelling of spatially extended excitable membranes with PDPs by a stochastic hybrid version of the Hodgkin-Huxley model of the squid giant axon. Finally, we discuss the advantages of the PDP formulation in view of analytical and numerical investigations as well as the application of PDPs to structurally more complex models of excitable membranes.


Assuntos
Potenciais de Ação/fisiologia , Membrana Celular/fisiologia , Modelos Neurológicos , Neurônios/fisiologia , Algoritmos , Animais , Axônios/fisiologia , Decapodiformes , Cinética , Cadeias de Markov , Canais de Potássio/metabolismo , Canais de Sódio/metabolismo , Processos Estocásticos
17.
Artigo em Inglês | MEDLINE | ID: mdl-20820785

RESUMO

Tetrodotoxin (TTX) is a potent toxin that specifically binds to voltage-gated sodium channels (NaV). TTX binding physically blocks the flow of sodium ions through NaV, thereby preventing action potential generation and propagation. TTX has different binding affinities for different NaV isoforms. These differences are imparted by amino acid substitutions in positions within, or proximal to, the TTX-binding site in the channel pore. These substitutions confer TTX-resistance to a variety of species. The garter snake Thamnophis sirtalis has evolved TTX-resistance over the course of an arms race, allowing some populations of snakes to feed on tetrodotoxic newts, including Taricha granulosa. Different populations of the garter snake have different degrees of TTX-resistance, which is closely related to the number of amino acid substitutions. We tested the biophysical properties and ion selectivity of NaV of three garter snake populations from Bear Lake, Idaho; Warrenton, Oregon; and Willow Creek, California. We observed changes in gating properties of TTX-resistant (TTXr) NaV. In addition, ion selectivity of TTXr NaV was significantly different from that of TTX-sensitive NaV. These results suggest TTX-resistance comes at a cost to performance caused by changes in the biophysical properties and ion selectivity of TTXr NaV.


Assuntos
Fenômenos Biofísicos/efeitos dos fármacos , Potenciais da Membrana/efeitos dos fármacos , Proteínas Musculares/metabolismo , Bloqueadores dos Canais de Sódio/farmacologia , Canais de Sódio/metabolismo , Tetrodotoxina/farmacologia , Animais , Fenômenos Biofísicos/genética , Biofísica/métodos , Colubridae/metabolismo , Estimulação Elétrica/métodos , Humanos , Ativação do Canal Iônico/efeitos dos fármacos , Ativação do Canal Iônico/genética , Potenciais da Membrana/genética , Microinjeções/métodos , Proteínas Musculares/genética , Canal de Sódio Disparado por Voltagem NAV1.4 , Oocistos , Técnicas de Patch-Clamp/métodos , Bloqueadores dos Canais de Sódio/química , Canais de Sódio/genética , Tetrodotoxina/química , Xenopus
18.
Neurotoxicology ; 31(6): 724-9, 2010 Dec.
Artigo em Inglês | MEDLINE | ID: mdl-20621122

RESUMO

Methylene blue (MB) is a vital dye to allow better visualization and marker of parathyroid glands. The compound causes a toxic encephalopathy in clinical observations and some neuronal adverse effects in experimental studies. Of neurotoxic effects, reduced field excitatory postsynaptic potentials (fEPSPs) in hippocampal slice cultures and apoptosis induced in neurons by MB, suggest that MB may affect electrophysiological properties in neurons. Consequently, studies were undertaken to characterize the effects of MB on voltage-gated sodium currents (I(Na)) in hippocampal CA1 neurons. MB was tested at a clinically-relevant concentration (10µM), of which as a surgical marker of the parathyroid glands, and other concentrations (0.25µM, 1µM, and 100µM). The results showed that MB reduced the amplitude of I(Na) at the concentrations of 10µM and 100µM. No significant changes were found with the other two concentrations of MB. 10µM of MB did not produce a shift in the activation-voltage curve of I(Na) but produced a hyperpolarizing shift in the inactivation-voltage curve of I(Na) and delayed the recovery of I(Na) from inactivation. Action potential (AP) properties and the pattern of repetitive firing were examined using whole-cell current-clamp recordings. Peak amplitude, overshoot and maximum velocity of depolarization (V(max)) of the evoked single AP decreased in the presence of the 10µM MB solution. The rate of repetitive firing also decreased. The results suggest MB as a surgical marker of the parathyroid glands, may cause sodium channel inhibition on neurons in the nervous system.


Assuntos
Potenciais de Ação/efeitos dos fármacos , Região CA1 Hipocampal/efeitos dos fármacos , Ativação do Canal Iônico/efeitos dos fármacos , Ativação do Canal Iônico/fisiologia , Azul de Metileno/farmacologia , Neurônios/fisiologia , Bloqueadores dos Canais de Sódio/farmacologia , Canais de Sódio/metabolismo , Potenciais de Ação/fisiologia , Animais , Região CA1 Hipocampal/citologia , Região CA1 Hipocampal/fisiologia , Masculino , Neurônios/efeitos dos fármacos , Neurônios/metabolismo , Ratos , Ratos Wistar , Canais de Sódio/fisiologia
19.
Phys Rev E Stat Nonlin Soft Matter Phys ; 81(1 Pt 1): 011918, 2010 Jan.
Artigo em Inglês | MEDLINE | ID: mdl-20365410

RESUMO

The stochastic opening and closing of voltage-gated ion channels produce noise in neurons. The effect of this noise on the neuronal performance has been modeled using either an approximate or Langevin model based on stochastic differential equations or an exact model based on a Markov process model of channel gating. Yet whether the Langevin model accurately reproduces the channel noise produced by the Markov model remains unclear. Here we present a comparison between Langevin and Markov models of channel noise in neurons using single compartment Hodgkin-Huxley models containing either Na+ and K+, or only K+ voltage-gated ion channels. The performance of the Langevin and Markov models was quantified over a range of stimulus statistics, membrane areas, and channel numbers. We find that in comparison to the Markov model, the Langevin model underestimates the noise contributed by voltage-gated ion channels, overestimating information rates for both spiking and nonspiking membranes. Even with increasing numbers of channels, the difference between the two models persists. This suggests that the Langevin model may not be suitable for accurately simulating channel noise in neurons, even in simulations with large numbers of ion channels.


Assuntos
Cadeias de Markov , Modelos Neurológicos , Neurônios/fisiologia , Canais de Potássio de Abertura Dependente da Tensão da Membrana/metabolismo , Canais de Sódio/metabolismo , Potenciais de Ação , Algoritmos , Animais , Membrana Celular/fisiologia , Simulação por Computador , Teoria da Informação , Distribuição Normal , Probabilidade , Processos Estocásticos
20.
Circ Res ; 106(8): 1374-83, 2010 Apr 30.
Artigo em Inglês | MEDLINE | ID: mdl-20339117

RESUMO

RATIONALE: Sodium channel blockers are used as gene-specific treatments in long-QT syndrome type 3, which is caused by mutations in the sodium channel gene (SCN5A). Response to treatment is influenced by biophysical properties of mutations. OBJECTIVE: We sought to investigate the unexpected deleterious effect of mexiletine in a mutation combining gain-of- function and trafficking abnormalities. METHODS AND RESULTS: A long-QT syndrome type 3 child experienced paradoxical QT prolongation and worsening of arrhythmias after mexiletine treatment. The SCN5A mutation F1473S expressed in HEK293 cells presented a right-ward shift of steady-state inactivation, enlarged window current, and huge sustained sodium current. Unexpectedly, it also reduced the peak sodium current by 80%. Immunostaining showed that mutant Nav1.5 is retained in the cytoplasm. Incubation with 10 micromol/L mexiletine rescued the trafficking defect of F1473S, causing a significant increase in peak current, whereas sustained current was unchanged. Using a Markovian model of the Na channel and a model of human ventricular action potential, we showed that simulated exposure of F1473S to mexiletine paradoxically increased action potential duration, mimicking QT prolongation seen in the index patient on mexiletine treatment. CONCLUSIONS: Sodium channel blockers are largely used to shorten QT intervals in carriers of SCN5A mutations. We provided evidence that these agents may facilitate trafficking of mutant proteins, thus exacerbating QT prolongation. These data suggest that caution should be used when recommending this class of drugs to carriers of mutations with undefined electrophysiological properties.


Assuntos
Antiarrítmicos/efeitos adversos , Ativação do Canal Iônico/efeitos dos fármacos , Síndrome do QT Longo/tratamento farmacológico , Mexiletina/efeitos adversos , Proteínas Musculares/antagonistas & inibidores , Mutação , Bloqueadores dos Canais de Sódio/efeitos adversos , Potenciais de Ação , Linhagem Celular , Simulação por Computador , Eletrocardiografia , Evolução Fatal , Predisposição Genética para Doença , Humanos , Lactente , Ativação do Canal Iônico/genética , Cinética , Síndrome do QT Longo/genética , Síndrome do QT Longo/metabolismo , Masculino , Cadeias de Markov , Modelos Cardiovasculares , Proteínas Musculares/genética , Proteínas Musculares/metabolismo , Canal de Sódio Disparado por Voltagem NAV1.5 , Fenótipo , Transporte Proteico , Canais de Sódio/genética , Canais de Sódio/metabolismo , Transfecção , Resultado do Tratamento
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