Multiscale modelling via split-step methods in neural firing
| العنوان: | Multiscale modelling via split-step methods in neural firing |
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| المؤلفون: | Aleksandar Senek, Sanja Mikulovic, Stefan Engblom, Pavol Bauer |
| المصدر: | Mathematical and Computer Modelling of Dynamical Systems. 24:426-445 |
| بيانات النشر: | Informa UK Limited, 2018. |
| سنة النشر: | 2018 |
| مصطلحات موضوعية: | 0301 basic medicine, Computational neuroscience, Quantitative Biology::Neurons and Cognition, Field (physics), Computer science, Applied Mathematics, Numerical analysis, Process (computing), Noise (electronics), Multiscale modeling, Action (physics), Computer Science Applications, 03 medical and health sciences, 030104 developmental biology, 0302 clinical medicine, 65C20, 92C20 (primary), 65C40, 65L99 (secondary), Control and Systems Engineering, FOS: Biological sciences, Quantitative Biology - Neurons and Cognition, Modeling and Simulation, Electric field, Neurons and Cognition (q-bio.NC), Biological system, 030217 neurology & neurosurgery, Software |
| الوصف: | Neuronal models based on the Hodgkin-Huxley equation form a fundamental framework in the field of computational neuroscience. While the neuronal state is often modeled deterministically, experimental recordings show stochastic fluctuations, presumably driven by molecular noise from the underlying microphysical conditions. In turn, the firing of individual neurons gives rise to an electric field n extracellular space, also thought to affect the firing pattern of nearby neurons. We develop a multiscale model which combines a stochastic ion channel gating process taking place on the neuronal membrane, together with the propagation of an action potential along the neuronal structure. We also devise a numerical method relying on a split-step strategy which effectively couples these two processes and we experimentally test the feasibility of this approach. We finally also explain how the approach can be extended with Maxwell's equations to allow the potential to be propagated in extracellular space. 23 pages, 10 figures |
| تدمد: | 1744-5051 1387-3954 |
| DOI: | 10.1080/13873954.2018.1488740 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d1784491bc1b825ca1633d7387c1257 https://doi.org/10.1080/13873954.2018.1488740 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....1d1784491bc1b825ca1633d7387c1257 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 17445051 13873954 |
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| DOI: | 10.1080/13873954.2018.1488740 |