Computational studies on the static and dynamical properties of one dimensional integer spin quantum magnets

2020 ◽  
Author(s):  
◽  
Ernest Teng Siang Ong
2002 ◽  
Vol 71 (8) ◽  
pp. 1947-1955 ◽  
Author(s):  
Satoshi Miyashita ◽  
Akira Kawaguchi ◽  
Norio Kawakami

1993 ◽  
Vol 48 (14) ◽  
pp. 10227-10239 ◽  
Author(s):  
J. Deisz ◽  
M. Jarrell ◽  
D. L. Cox

1996 ◽  
Vol 75 (2) ◽  
pp. 957-962 ◽  
Author(s):  
H. A. Lechner ◽  
D. A. Baxter ◽  
J. W. Clark ◽  
J. H. Byrne

1. Previous computational studies of models of neuron R15 in Aplysia have indicated that several distinct modes of electrical activity may coexist at a given set of parameters, that this multistability can be modulated by transmitters such as serotonin (5-HT) and that brief perturbations of the membrane potential can induce persistent changes in the mode of electrical activity. To test these predictions, the responses of R15 neurons to injections of brief (1.5 s) current pulses were recorded intracellularly in the absence and presence of 5-HT. 2. In the absence of 5-HT, brief perturbations induced abrupt transitions in the electrical activity from bursting to beating. Such transitions were observed in approximately 20% of the cases. The duration of beating activity varied from several seconds to tens of minutes. In the presence of low concentrations (1 microM) of 5-HT, both the probability of mode transitions and the duration of induced beating activity increased significantly. 3. These results indicate that at least two stable modes of electrical activity can coexist in R15 neurons and that this bistability can be regulated by 5-HT. In general, these conclusions agree with the results from analyses of mathematical models of R15. Although the function of these dynamic properties in R15 is speculative, our results, interpreted on the background of the model, support the notion that nonlinear dynamical properties of individual neurons can endow them with richer forms of information processing than has generally been appreciated.


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