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Titlebook: Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models; Aslak Tveito,Glenn T. Lines Book‘‘‘‘‘‘‘‘ 2016 The

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One-Dimensional Calcium Release, channels (LCCs). When these channels are open, calcium flows into a rather small space called the dyadic cleft (often simply referred to as the dyad), leading to a locally increased concentration of Ca. ions. This increased concentration leads to the opening of the ryanodine receptors (RyRs), which
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Models of Open and Closed State Blockers,ng release from internal storage to the dyad. We found that this model could be analyzed using Monte Carlo simulations or a system of deterministic partial differential equations giving the probability density functions of the open and the closed states. Furthermore, we found analytical solutions of
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Generalized Systems Governing Probability Density Functions,hat the associated probability density functions are governed by 2 × 2 systems of partial differential equations. When a drug is added to the Markov model, an extra state is introduced associated with either the open or the closed state and we obtain a model for the probability density functions phr
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A Prototypical Model of an Ion Channel,he development of the concentration of calcium ions in the dyad and kept everything else constant. The interesting part was then to see how the release mechanism of the ryanodine receptor RyR changes the dynamics of the dyad concentration. In particular, we were interested in RyR mutations and their
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Inactivated Ion Channels: Extending the Prototype Model,that the channel is non-conducting, but when the channel is inactivated, it is harder to open again than when the channel is in the closed state. This feature is useful in modeling an action potential. In the action potential of a cardiac cell, the upstroke is driven mainly by the sodium current. Wh
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A Simple Model of the Sodium Channel,hanism that could be either open or closed. A Markov model governed the gating and we derived a system giving the probability density functions of the states involved in the Markov model. We used the probability density approach to compute optimal theoretical drugs and noted that a mutation leading
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