Mathematical modeling and bistability analysis for synaptic tagging and synapse-specific long-term facilitation in Aplysia

Author(s):  
Lijie Hao ◽  
Zhuoqin Yang
Author(s):  
Valery А. Gruzdev ◽  
◽  
Georgy V. Mosolov ◽  
Ekaterina A. Sabayda ◽  
◽  
...  

In order to determine the possibility of using the method of mathematical modeling for making long-term forecasts of channel deformations of trunk line underwater crossing (TLUC) through water obstacles, a methodology for performing and analyzing the results of mathematical modeling of channel deformations in the TLUC zone across the Kuban River is considered. Within the framework of the work, the following tasks were solved: 1) the format and composition of the initial data necessary for mathematical modeling were determined; 2) the procedure for assigning the boundaries of the computational domain of the model was considered, the computational domain was broken down into the computational grid, the zoning of the computational domain was performed by the value of the roughness coefficient; 3) the analysis of the results of modeling the water flow was carried out without taking the bottom deformations into account, as well as modeling the bottom deformations, the specifics of the verification and calibration calculations were determined to build a reliable mathematical model; 4) considered the possibility of using the method of mathematical modeling to check the stability of the bottom in the area of TLUC in the presence of man-made dumping or protective structure. It has been established that modeling the flow hydraulics and structure of currents, making short-term forecasts of local high-altitude reshaping of the bottom, determining the tendencies of erosion and accumulation of sediments upstream and downstream of protective structures are applicable for predicting channel deformations in the zone of the TLUC. In all these cases, it is mandatory to have materials from engineering-hydro-meteorological and engineering-geological surveys in an amount sufficient to compile a reliable mathematical model.


2007 ◽  
Vol 27 (13) ◽  
pp. 3593-3602 ◽  
Author(s):  
J. Wang ◽  
S. Carnicella ◽  
K. Phamluong ◽  
J. Jeanblanc ◽  
J. A. Ronesi ◽  
...  

1993 ◽  
Vol 90 (23) ◽  
pp. 11411-11415 ◽  
Author(s):  
G A Clark ◽  
E R Kandel

Long-term synaptic facilitation at the connections of Aplysia sensory neurons onto their target cells involves alterations in gene expression. How then are the relevant cellular signals for the induction and expression of long-term synaptic changes conveyed between the nucleus and remote synaptic terminals? We have explored this question using a set of remote, peripheral terminals of siphon sensory cells, which are approximately 3 cm from the sensory cell body in the abdominal ganglion. We found that these remote synapses, like the proximal synapses previously studied in dissociated cell culture, can exhibit long-term facilitation 24 hr after cell-wide serotonin application. Furthermore, serotonin applications restricted to the remote synaptic terminals nevertheless produced long-term facilitation, indicating that signals generated in synaptic regions can trigger the long-term process, perhaps via retrograde signals to the nucleus to modify gene expression, followed by anterograde signals back to the terminal. Serotonin applications restricted to the cell body and proximal synapses of the sensory neuron also produced long-term facilitation at remote synapses, although to a lesser extent, suggesting that long-term facilitation is expressed cell-wide, but that superimposed on this cell-wide facilitation there appears to be a component that is synapse-specific.


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