Neuronal communication: Stochastic neuron dynamics and multi-synchrony states

Sharma, Shambhu N.; Haobijam, Dineshchandra; Singh, Soibam Shyamchand

doi:10.1016/j.aeue.2019.01.006

Cited by 5 publications

(3 citation statements)

References 62 publications

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“…These two processes are implemented in this algorithm by generating two statistically independent random numbers, namely

and

such that the reaction time is computed using

, where

is the

propensity function given by

, where

is the number of possible molecular combinations of

reaction, and the

reaction will fire when it satisfies

. Intrinsic noise (

) associated with the clock protein dynamics in the system is inversely proportional to the square root of the systems size

(i.e.,

( Gillespie, 2000 ; Singh et al, 2018 ; Sharma et al, 2019 ; Singh et al, 2021 ).…”

Section: Methodsmentioning

confidence: 99%

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Disruption in the regulation of casein kinase 2 in circadian rhythm leads to pathological states: cancer, diabetes and neurodegenerative disorders

Malik

Dashti

Fatima

et al. 2023

Front. Mol. Neurosci.

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IntroductionCircadian rhythm maintains the sleep–wake cycle in biological systems. Various biological activities are regulated and modulated by the circadian rhythm, disruption of which can result in onset of diseases. Robust rhythms of phosphorylation profiles and abundances of PERIOD (PER) proteins are thought to be the master keys that drive circadian clock functions. The role of casein kinase 2 (CK2) in circadian rhythm via its direct interactions with the PER protein has been extensively studied; however, the exact mechanism by which it affects circadian rhythms at the molecular level is not known.MethodsHere, we propose an extended circadian rhythm model in Drosophila that incorporates the crosstalk between the PER protein and CK2. We studied the regulatory role of CK2 in the dynamics of PER proteins involved in circadian rhythm using the stochastic simulation algorithm.ResultsWe observed that variations in the concentration of CK2 in the circadian rhythm model modulates the PER protein dynamics at different cellular states, namely, active, weakly active, and rhythmic death. These oscillatory states may correspond to distinct pathological cellular states of the living system. We find molecular noise at the expression level of CK2 to switch normal circadian rhythm to any of the three above-mentioned circadian oscillatory states. Our results suggest that the concentration levels of CK2 in the system has a strong impact on its dynamics, which is reflected in the time evolution of PER protein.DiscussionWe believe that our findings can contribute towards understanding the molecular mechanisms of circadian dysregulation in pathways driven by the PER mutant genes and their pathological states, including cancer, obesity, diabetes, neurodegenerative disorders, and socio-psychological disease.

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“…These two processes are implemented in this algorithm by generating two statistically independent random numbers, namely

and

such that the reaction time is computed using

, where

is the

propensity function given by

, where

is the number of possible molecular combinations of

reaction, and the

reaction will fire when it satisfies

. Intrinsic noise (

) associated with the clock protein dynamics in the system is inversely proportional to the square root of the systems size

(i.e.,

( Gillespie, 2000 ; Singh et al, 2018 ; Sharma et al, 2019 ; Singh et al, 2021 ).…”

Section: Methodsmentioning

confidence: 99%

“…associated with the clock protein dynamics in the system is inversely proportional to the square root of the systems size V (i.e., ξ ∝ 1 V ) (Gillespie, 2000;Singh et al, 2018;Sharma et al, 2019;Singh et al, 2021).…”

Section: Technique For Simulation Of the Biochemical Reaction Pathwaymentioning

confidence: 99%

Disruption in the regulation of casein kinase 2 in circadian rhythm leads to pathological states: cancer, diabetes and neurodegenerative disorders

Malik

Dashti

Fatima

et al. 2023

Front. Mol. Neurosci.

Self Cite

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“…Because of the complex non-linear structure of neurons and the random factors within the nervous system, the discharge has a complex discharge rhythm. Neurons are affected by various noises in the biological process of transmitting information, such as the randomness of the opening and closing of ion channels, the randomness of neurotransmitters released by chemical synapses, the randomness of the movement of surrounding molecules, and the randomness of input signals of other neurons [15,16]. Hence it is very important to study the effect of noise on the nervous system.…”

Section: Introductionmentioning

confidence: 99%

Effect of potassium channel noise on nerve discharge based on the Chay model

Jiang

Wang

Shang

et al. 2020

THC

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BACKGROUND: The nervous system senses and transmits information through the firing behavior of neurons, and this process is affected by various noises. However, in the previous study of the influence of noise on nerve discharge, the channel of some noise effects is not clear, and the difference from other noises was not examined. OBJECTIVE: To construct ion channel noise which is more biologically significant, and to clarify the basic characteristics of the random firing rhythm of neurons generated by different types of noise acting on ion channels. Method: Based on the dynamics of the ion channel, we constructed ion channel noise. We simulated the nerve discharge based on the Chay model of potassium ion channel noise, and used the nonlinear time series analysis method to measure the certainty and randomness of nerve discharge. RESULTS: In the Chay model with potassium ion noise, the chaotic rhythm defined by the original model could be effectively unified with the random rhythm simulated by the previous random Chay model into a periodic bifurcation process. CONCLUSION: This method clarified the influence of ion channel noise on nerve discharge, better understood the randomness of nerve discharge and provided a more reasonable explanation for the mechanism of nerve discharge.

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Memristive Devices for Neuromorphic Applications: Comparative Analysis

Erokhin

2020

BioNanoSci.

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Neuronal communication: Stochastic neuron dynamics and multi-synchrony states

Cited by 5 publications

References 62 publications

Disruption in the regulation of casein kinase 2 in circadian rhythm leads to pathological states: cancer, diabetes and neurodegenerative disorders

Disruption in the regulation of casein kinase 2 in circadian rhythm leads to pathological states: cancer, diabetes and neurodegenerative disorders

Effect of potassium channel noise on nerve discharge based on the Chay model

Memristive Devices for Neuromorphic Applications: Comparative Analysis

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