scholarly journals Combination of multi-variable quadratic adaptive algorithm and hybrid operator splitting method for stability against acceleration in the Markov model of sodium ion channels in the ventricular cell model

2020 ◽  
Vol 17 (2) ◽  
pp. 1808-1819
Author(s):  
Ching-Hsing Luo ◽  
◽  
Xing-Ji Chen ◽  
Min-Hung Chen ◽  
Keyword(s):  
Ion Channels ◽  
Markov Model ◽  
Adaptive Algorithm ◽  
Cell Model ◽  
Operator Splitting ◽  
Splitting Method ◽  
Sodium Ion ◽  
Operator Splitting Method ◽  
Sodium Ion Channels ◽  
Ventricular Cell Model

scholarly journals Synthesis and Evaluation of Novel α-Aminoamides Containing Benzoheterocyclic Moiety for the Treatment of Pain

Molecules ◽  
2021 ◽  
Vol 26 (6) ◽  
pp. 1716
Author(s):  
Kun Tong ◽  
Ruotian Zhang ◽  
Fengzhi Ren ◽  
Tao Zhang ◽  
Junlin He ◽  
...  
Keyword(s):  
Ion Channels ◽  
Patch Clamp ◽  
Formalin Test ◽  
Sodium Ion ◽  
Inhibitory Potency ◽  
Voltage Gated ◽  
Patch Clamp Electrophysiology ◽  
Sodium Ion Channels

Novel α-aminoamide derivatives containing different benzoheterocyclics moiety were synthesized and evaluated as voltage-gated sodium ion channels blocks the treatment of pain. Compounds 6a, 6e, and 6f containing the benzofuran group displayed more potent in vivo analgesic activity than ralfinamide in both the formalin test and the writhing assay. Interestingly, they also exhibited potent in vitro anti-Nav1.7 and anti-Nav1.8 activity in the patch-clamp electrophysiology assay. Therefore, compounds 6a, 6e, and 6f, which have inhibitory potency for two pain-related Nav targets, could serve as new leads for the development of analgesic medicines.

scholarly journals The Sum and Difference of Two Lognormal Random Variables

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
C. F. Lo
Keyword(s):  
Stochastic Process ◽  
Probability Distributions ◽  
Operator Splitting ◽  
Splitting Method ◽  
Unified Approach ◽  
New Approach ◽  
Numerical Examples ◽  
Operator Splitting Method ◽  
Approximate Probability ◽  
Analytical Series

We have presented a new unified approach to model the dynamics of both the sum and difference of two correlated lognormal stochastic variables. By the Lie-Trotter operator splitting method, both the sum and difference are shown to follow a shifted lognormal stochastic process, and approximate probability distributions are determined in closed form. Illustrative numerical examples are presented to demonstrate the validity and accuracy of these approximate distributions. In terms of the approximate probability distributions, we have also obtained an analytical series expansion of the exact solutions, which can allow us to improve the approximation in a systematic manner. Moreover, we believe that this new approach can be extended to study both (1) the algebraic sum ofNlognormals, and (2) the sum and difference of other correlated stochastic processes, for example, two correlated CEV processes, two correlated CIR processes, and two correlated lognormal processes with mean-reversion.

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