Chaos links dendritic calcium to bursting in hippocampal
pyramidal cells

J 2025

Chaos links dendritic calcium to bursting in hippocampal pyramidal cells

PŘIBYLOVÁ, Lenka; Jan ŠEVČÍK; Tomáš HALMAZŇA; Štěpán HUSA; Lucia KAJANOVÁ et al.

Základní údaje

Originální název

Chaos links dendritic calcium to bursting in hippocampal pyramidal cells

Autoři

PŘIBYLOVÁ, Lenka; Jan ŠEVČÍK ; Tomáš HALMAZŇA; Štěpán HUSA; Lucia KAJANOVÁ; Peter MALÁRIK; Miroslav POLÁCH; Štěpán ZAPADLO a Veronika ECLEROVÁ

Vydání

Chaos, Solitons & Fractals, Elsevier Ltd, 2025, 0960-0779

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10100 1.1 Mathematics

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL, URL

Impakt faktor

Impact factor: 5.600 v roce 2024

Označené pro přenos do RIV

Ano

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Neuronal bursting; Pinsky–Rinzel model; Chaos; Theta–gamma coupling; Epileptiform activity

Štítky

14311010, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 29. 5. 2025 08:46, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

We perform a multi-parameter bifurcation analysis of the Pinsky–Rinzel neuron model. Varying input currents to the soma and dendrite allows for the emergence of multiple dynamical regimes, including resting states, periodic cycles, tori, and chaotic states. The existence of tori implies the coexistence of two distinct frequency bands, which may underlie theta–gamma coupling observed in hippocampal activity. Additionally, a comprehensive bifurcation analysis reveals a novel type of chaotic attractor spanning a wide parameter region defined by inward currents to the soma and dendrite of a pyramidal neuron. This attractor facilitates the coexistence of two distinct bursting regimes as responses to the same stimulus. These bursting patterns, both previously observed experimentally in vivo and in vitro, primarily differ in dendritic calcium levels, with one exhibiting significantly elevated calcium concentrations. In this study, we introduce a robust method for identifying the bifurcation boundary of a global attractor associated with bursting behavior. The method is based on a comparative analysis of numerical continuation and grid-based simulations and can be applied analogously to other models. This rigorous approach not only provides a mechanistic explanation for experimentally observed concurrent neuronal responses to identical stimuli but also demonstrates that the Pinsky–Rinzel model, despite simplifying the pyramidal cell into two compartments, effectively captures a wide range of dynamical regimes present in pyramidal cell signaling. Moreover, it highlights the model’s robustness in describing complex neuronal dynamics, including epileptic activity.

Návaznosti

MUNI/A/1457/2023, interní kód MU

Název: Specifický výzkum v odborné, aplikované a učitelské matematice 2024

Investor: Masarykova univerzita, Specifický výzkum v odborné, aplikované a učitelské matematice 2024

MUNI/G/1213/2022, interní kód MU

Název: Mathematical modeling of very and ultra-fast oscillations in EEG signals

Investor: Masarykova univerzita, Mathematical modeling of very and ultra-fast oscillations in EEG signals, INTERDISCIPLINARY - Mezioborové výzkumné projekty

Citovat

PŘIBYLOVÁ, Lenka; Jan ŠEVČÍK; Tomáš HALMAZŇA; Štěpán HUSA; Lucia KAJANOVÁ; Peter MALÁRIK; Miroslav POLÁCH; Štěpán ZAPADLO a Veronika ECLEROVÁ. Chaos links dendritic calcium to bursting in hippocampal pyramidal cells. Chaos, Solitons & Fractals. Elsevier Ltd, 2025, roč. 197, August, s. 1-18. ISSN 0960-0779. Dostupné z: https://doi.org/10.1016/j.chaos.2025.116517.

@article{2495197,
   author = {Přibylová, Lenka and Ševčík, Jan and Halmazňa, Tomáš and Husa, Štěpán and Kajanová, Lucia and Malárik, Peter and Polách, Miroslav and Zapadlo, Štěpán and Eclerová, Veronika},
   article_number = {August},
   doi = {https://doi.org/10.1016/j.chaos.2025.116517},
   keywords = {Neuronal bursting; Pinsky–Rinzel model; Chaos; Theta–gamma coupling; Epileptiform activity},
   language = {eng},
   issn = {0960-0779},
   journal = {Chaos, Solitons & Fractals},
   title = {Chaos links dendritic calcium to bursting in hippocampal pyramidal cells},
   url = {https://gitlab.ics.muni.cz/ndteam/gamu/pinsky-rinzel-ca3-pyramidal-cell},
   volume = {197},
   year = {2025}
}

TY  - JOUR
ID  - 2495197
AU  - Přibylová, Lenka - Ševčík, Jan - Halmazňa, Tomáš - Husa, Štěpán - Kajanová, Lucia - Malárik, Peter - Polách, Miroslav - Zapadlo, Štěpán - Eclerová, Veronika
PY  - 2025
TI  - Chaos links dendritic calcium to bursting in hippocampal pyramidal cells
JF  - Chaos, Solitons & Fractals
VL  - 197
IS  - August
SP  - 1-18
EP  - 1-18
PB  - Elsevier Ltd
SN  - 09600779
KW  - Neuronal bursting
KW  - Pinsky–Rinzel model
KW  - Chaos
KW  - Theta–gamma coupling
KW  - Epileptiform activity
UR  - https://gitlab.ics.muni.cz/ndteam/gamu/pinsky-rinzel-ca3-pyramidal-cell
N2  - We perform a multi-parameter bifurcation analysis of the Pinsky–Rinzel neuron model. Varying input currents to the soma and dendrite allows for the emergence of multiple dynamical regimes, including resting states, periodic cycles, tori, and chaotic states. The existence of tori implies the coexistence of two distinct frequency bands, which may underlie theta–gamma coupling observed in hippocampal activity. Additionally, a comprehensive bifurcation analysis reveals a novel type of chaotic attractor spanning a wide parameter region defined by inward currents to the soma and dendrite of a pyramidal neuron. This attractor facilitates the coexistence of two distinct bursting regimes as responses to the same stimulus. These bursting patterns, both previously observed experimentally in vivo and in vitro, primarily differ in dendritic calcium levels, with one exhibiting significantly elevated calcium concentrations. In this study, we introduce a robust method for identifying the bifurcation boundary of a global attractor associated with bursting behavior. The method is based on a comparative analysis of numerical continuation and grid-based simulations and can be applied analogously to other models. This rigorous approach not only provides a mechanistic explanation for experimentally observed concurrent neuronal responses to identical stimuli but also demonstrates that the Pinsky–Rinzel model, despite simplifying the pyramidal cell into two compartments, effectively captures a wide range of dynamical regimes present in pyramidal cell signaling. Moreover, it highlights the model’s robustness in describing complex neuronal dynamics, including epileptic activity.
ER  -

PŘIBYLOVÁ, Lenka; Jan ŠEVČÍK; Tomáš HALMAZŇA; Štěpán HUSA; Lucia KAJANOVÁ; Peter MALÁRIK; Miroslav POLÁCH; Štěpán ZAPADLO a Veronika ECLEROVÁ. Chaos links dendritic calcium to bursting in hippocampal pyramidal cells. \textit{Chaos, Solitons \&{} Fractals}. Elsevier Ltd, 2025, roč.~197, August, s.~1-18. ISSN~0960-0779. Dostupné z: https://doi.org/10.1016/j.chaos.2025.116517.

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