Mathematical Foundations of Neuroscience
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Even if TTFields open Cav2+ channels, the effect would be secondary to the effect of the pores found by Chang et al.; complete equalization of all ion differentials across the cell membrane would occur rapidly and fully depolarize the cell, making Ca2+ conductance effects superfluous.
“Further, we conclude that even if TTFields open Cav2+ channels, the effect would be secondary to the effect of the pores found by Chang et al. [27]. The size of the pores compared to ion channel diameters and their presumed non-ion-specificity implies that, by the Nernst and Goldman equations [52], complete equalization of all ion differentials across the cell membrane would occur rapidly and”
From Permeabilizing Cell Membranes with Electric Fields (2021) · cites this paper as [52]
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Permeabilizing Cell Membranes with Electric Fields
Aguilar, A. A., Ho, M. C., Chang, E., Carlson, K. W., Natarajan, A., Marciano, T., Bomzon, Z., & Patel, C. B. (2021) · Cancers · doi:10.3390/cancers13092283 · Cited by 76 · see citing works
Ferguson, K. A., Huh, C. Y. L., Amilhon, B., Manseau, F., Williams, S., & Skinner, F. K. (2015) · Frontiers in Systems Neuroscience · doi:10.3389/fnsys.2015.00110 · Cited by 33 · see citing works
A survey on neuro-mimetic deep learning via predictive coding
Salvatori, T., Mali, A., Buckley, C. L., Lukasiewicz, T., Rao, R. P. N., Friston, K., & Ororbia, A. (2026) · Neural Networks · doi:10.1016/j.neunet.2025.108161 · Cited by 2 · see citing works
- Authors
- Ermentrout, G. B., & Terman, D. H.
- Affiliations
- The Ohio State University (US)
- ORCID
- Terman, David H.
- Venue
- Interdisciplinary Applied Mathematics
- Publisher
- Springer New York
- Published
- 2010
- ISSN
- 0939-6047 (ISSN-L)
- OpenAlex
- W316919195
- Cited by
- 1,340
- References
- 9
- Citations by year
- 2026: 65 · 2025: 95 · 2024: 74 · 2023: 79 · 2022: 90 · 2021: 101 · 2020: 119 · 2019: 109 · 2018: 63 · 2017: 103 · 2016: 78 · 2015: 95 · 2014: 84 · 2013: 87 · 2012: 63
- FWCI
- 20.47
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Interdisciplinary applied mathematics (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- DIAL (Catholic University of Leuven) (submittedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Physical Sciences › Computer Science › Computer Networks and Communications › Nonlinear Dynamics and Pattern Formation
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › stochastic dynamics and bifurcation
- Keywords
- nonlinear dynamics, neural activity patterns, neural models, mathematical neuroscience, excitable systems
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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