Control of bursting synchronization in networks of Hodgkin-Huxley-type neurons with chemical synapses

Batista, Carlos; Viana, Ricardo L.; Ferrari, Fernanda; Lopes, S. R.; Batista, Antônio M.; Coninck, José Carlos Pereira

doi:10.1103/physreve.87.042713

Cited by 35 publications

(28 citation statements)

References 59 publications

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“…For example, different simulations have been performed in both deterministic and noisy conditions [3] [14÷16]. The temperature attributes of the model also have been studied and a wide range of different temperature-depending spike patterns in the model responses has been observed [14].…”

Section: Methodsmentioning

confidence: 99%

“…Scientists have studied different seizure onset patterns and have tried to detect and even control the seizures by extracting the features related to the seizure onset based on responses of the neural models of the epileptogenic zone or the EEG records of the epilepsy patients [2,3].…”

Section: Introductionmentioning

confidence: 99%

“…One of the neuronal models which is used to simulate the bursting-spiking behavior of an epileptic neuron is the Huber-Braun model of thermally sensitive hypothalamic neurons [3]. This model exhibits a wide range of different impulse sequences as a function of the temperature [14].…”

Section: Introductionmentioning

confidence: 99%

“…This model exhibits a wide range of different impulse sequences as a function of the temperature [14]. Several studies have been performed in order to find the bifurcation parameters in this model [15], or to control a network of Huber-Braun neurons using an invasive stimulation protocol [3]. In order to use this model to study the non-invasive stimulation techniques, some modifications are needed.…”

Section: Introductionmentioning

confidence: 99%

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A new bifurcation parameter in a modified Huber-Braun model

2017

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Original scientific paper Thermally sensitive neurons represent a bursting-spiking activity that is indicated by rapid repetitive spiking trains of action potentials pursued by dormant periods. Synchronization of such behavior in a network of coupled spiking neurons such as the epileptogenic zone in the brain may cause some neurological disorders such as epileptic seizures. This paper introduces a new approach for predicting the seizure onset in a model of an epileptic neuron. The parameters which are used for simulations have been selected in such a way that they would be potentially applicable in the non-invasive brain stimulation approaches such as repetitive transcranial magnetic stimulation (rTMS). In this regard, a modified Huber-Braun model of a thermally sensitive neuron exposed to external rTMS-induced voltages is presented. Applying the chaos theory, the bifurcation diagram of a modified Huber-Braun model with a new bifurcation parameter is used to estimate the time at which the bifurcation takes place whereby allowing a more accurate prediction of the seizure onset based on the modified model. Keywords: bifurcation theory; Huber-Braun model; seizure Istraživanje novog parametra bifurkacije u modificiranom Huber-Braun modeluIzvorni znanstveni članak Toplinsko osjetljivi neuroni predstavljaju pulsirajuće-prskajuću aktivnost predskazanu brzim ponavljajućim iznenadnim razvojem događanja praćenim periodima spavanja. Sinhronizacija takvog ponašanja u mreži spojenih prskajućih neurona kao što je epileptogena zona u mozgu može dovesti do neuroloških poremećaja poput epileptičkih napada. U radu se predlaže novi pristup predviđanju napada modelom epileptičkog neurona. Parametri upotrebljeni u simulaciji izabrani su tako da se mogu potencijalno primijeniti u pristupima neinvazivnim stimulacijama mozga kao što je ponavljajuća transkranijalna magnetska stimulacija (rTMS). U tom pogledu, predstavlja se modificirani Huber-Braun model termalno osjetljivog neurona izloženog rTMS-induciranoj voltaži. Primjenjujući teoriju kaosa dijagram bifurkacije modificiranog Huber-Braun modela s novim parametrom bifurkacije primijenjen je za procjenu vremena u kojem dolazi do bifurkacije čime se omogućuje točnije predviđanje početka napada na temelju modificiranog modela.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A new bifurcation parameter in a modified Huber-Braun model

2017

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“…In cell biology dynamical models of control are more common in the field of neuroscience. In such models, control in the form of external intervention may alleviate symptoms of specific neurological disorders, such as Parkinson's and essential tremors [3][4][5][6], for example by disrupting the synchrony of coupled oscillating neurons through electrical stimulation [7][8][9][10]. The development of microfluidics technologies over the recent years [11] has allowed researchers to apply control in other cellular systems as well, such as microbe and yeast cells, in order to affect their metabolic states usually by manipulating gene expression.…”

Section: Introductionmentioning

confidence: 99%

Entrainment and Control of Bacterial Populations: An in Silico Study over a Spatially Extended Agent Based Model

Mina¹,

Tsaneva-Atanasova

Bernardo

2016

ACS Synth. Biol.

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General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms AbstractAs control in cellular populations is becoming more common we extend a spatially explicit agent based model (ABM), developed previously to investigate population emergent behaviour of synchronized oscillating cells in a microfluidic chamber, to include control. Thus, unlike most of the work in models that deal with control of biological systems, we model individual cells with spatial dependencies that may contribute to certain behavioural responses. We use the model to test whether linear control methods can be used to tame the collective behaviour of a bacterial population as recently suggested in the literature. We compare and contrast open and closed loop control in a spatially explicit model of control (specifically proportional control (P-control), proportional-integral control (PI-control) and proportional-integral-derivative control (PID-control) as can be applied in a microfluidic chamber setting) and show when entrainment to a non-natural oscillating period is possible, using an increasing bacterial population size. Results indicate that during open loop control entrainment is only possible in a subset of forcing periods, unlike closed loop control, and a wide variety of dynamical behaviours is obtained outside the regions of entrainment which in a physical setting may be undesirable. However, even with closed loop control, fixed gains cannot harness a population that keeps growing beyond a certain size.

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Prescribed performance synchronization for time‐delayed complex dynamical networks under event‐triggered pinning control

Dong

Shi

2021

Intl J Robust & Nonlinear

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In this article, a new event‐based pinning synchronization control strategy for complex dynamical networks with internal delay and transmission delay is investigated. By introducing prescribed performance control schemes, the transient and steady performance of synchronization errors are guaranteed simultaneously. The main results in the article show that, not only exponential synchronization is achieved, but also the transient bounded of synchronization errors is guaranteed based on Lyapunov approach. Furthermore, an efficient event‐based mechanism is derived to avoid the infinitely fast switching of the pinning node set. We also develop a new selection‐algorithm to find certain suitable nodes to be controlled and these selected nodes will be updated online at each triggering instant. At last, the simulation examples are made to demonstrate the effectiveness and superiority of the obtained results.

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Control of bursting synchronization in networks of Hodgkin-Huxley-type neurons with chemical synapses

Cited by 35 publications

References 59 publications

A new bifurcation parameter in a modified Huber-Braun model

A new bifurcation parameter in a modified Huber-Braun model

Entrainment and Control of Bacterial Populations: An in Silico Study over a Spatially Extended Agent Based Model

Prescribed performance synchronization for time‐delayed complex dynamical networks under event‐triggered pinning control

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