Matches in SemOpenAlex for { <https://semopenalex.org/work/W2897672212> ?p ?o ?g. }
- W2897672212 abstract "On the level of the spiking activity, the integrate-and-fire neuron is one of the most commonly used descriptions of neural activ- ity. A multitude of variants has been proposed to cope with the huge diversity of behaviors observed in biological nerve cells. The main appeal of this class of model is that it can be defined in terms of a hybrid model, where a set of mathematical equations describes the sub-threshold dynamics of the membrane po- tential and the generation of action potentials is often only added algorithmically without the shape of spikes being part of the equations. In contrast to more detailed biophysical models, this simple description of neuron models allows the routine simulation of large biological neu- ronal networks on standard hardware widely available in most laboratories these days. The time evolution of the relevant state vari- ables is usually defined by a small set of ordinary differential equations (ODEs). Evolu- tion schemes for the corresponding systems of ODEs are well known for many neuron mod- els and most of them are both efficient and accurate. Such schemes are the basis of the neuron model implementations built into com- monly used simulators like Brian, NEST and NEURON. However, an often neglected problem is that the implemented evolution schemes are only rarely selected through a structured process based on numerical criteria. This practice can- not guarantee accurate and stable solutions for the equations and the actual quality of the so- lution depends largely on the parametrization of the model. In this article, we give an overview of typical equations and state descriptions for the dynam- ics of the relevant variables in integrate-and-fire models. We then describe a formal mathemati- cal process to automate the design or selection of a suitable evolution scheme for this large class of models. Finally, we present the refer- ence implementation of our symbolic analysis toolbox for ODEs that can guide modelers during the implementation of custom neuron models." @default.
- W2897672212 created "2018-10-26" @default.
- W2897672212 creator A5039281425 @default.
- W2897672212 creator A5041564164 @default.
- W2897672212 creator A5046793622 @default.
- W2897672212 creator A5073083912 @default.
- W2897672212 date "2018-10-08" @default.
- W2897672212 modified "2023-09-25" @default.
- W2897672212 title "Automatically Selecting a Suitable Integration Scheme for Systems of Differential Equations in Neuron Models" @default.
- W2897672212 cites W121159850 @default.
- W2897672212 cites W1555104280 @default.
- W2897672212 cites W1825637327 @default.
- W2897672212 cites W1982602109 @default.
- W2897672212 cites W1999269518 @default.
- W2897672212 cites W2009375605 @default.
- W2897672212 cites W2010315297 @default.
- W2897672212 cites W2034173946 @default.
- W2897672212 cites W2046424015 @default.
- W2897672212 cites W2051959027 @default.
- W2897672212 cites W2056661320 @default.
- W2897672212 cites W2061191702 @default.
- W2897672212 cites W2073813638 @default.
- W2897672212 cites W2081209729 @default.
- W2897672212 cites W2087861759 @default.
- W2897672212 cites W2111592937 @default.
- W2897672212 cites W2127411502 @default.
- W2897672212 cites W2128949090 @default.
- W2897672212 cites W2153113253 @default.
- W2897672212 cites W2158971225 @default.
- W2897672212 cites W2164653071 @default.
- W2897672212 cites W2417863416 @default.
- W2897672212 cites W2881440649 @default.
- W2897672212 cites W4214775604 @default.
- W2897672212 cites W4230185754 @default.
- W2897672212 cites W4233541588 @default.
- W2897672212 cites W4243023213 @default.
- W2897672212 cites W2015641512 @default.
- W2897672212 doi "https://doi.org/10.3389/fninf.2018.00050" @default.
- W2897672212 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/6186990" @default.
- W2897672212 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/30349471" @default.
- W2897672212 hasPublicationYear "2018" @default.
- W2897672212 type Work @default.
- W2897672212 sameAs 2897672212 @default.
- W2897672212 citedByCount "8" @default.
- W2897672212 countsByYear W28976722122018 @default.
- W2897672212 countsByYear W28976722122019 @default.
- W2897672212 countsByYear W28976722122020 @default.
- W2897672212 countsByYear W28976722122021 @default.
- W2897672212 countsByYear W28976722122022 @default.
- W2897672212 crossrefType "journal-article" @default.
- W2897672212 hasAuthorship W2897672212A5039281425 @default.
- W2897672212 hasAuthorship W2897672212A5041564164 @default.
- W2897672212 hasAuthorship W2897672212A5046793622 @default.
- W2897672212 hasAuthorship W2897672212A5073083912 @default.
- W2897672212 hasBestOaLocation W28976722121 @default.
- W2897672212 hasConcept C111919701 @default.
- W2897672212 hasConcept C121332964 @default.
- W2897672212 hasConcept C12426560 @default.
- W2897672212 hasConcept C134306372 @default.
- W2897672212 hasConcept C154945302 @default.
- W2897672212 hasConcept C177264268 @default.
- W2897672212 hasConcept C186565885 @default.
- W2897672212 hasConcept C199360897 @default.
- W2897672212 hasConcept C202887219 @default.
- W2897672212 hasConcept C2524010 @default.
- W2897672212 hasConcept C28826006 @default.
- W2897672212 hasConcept C33923547 @default.
- W2897672212 hasConcept C34862557 @default.
- W2897672212 hasConcept C41008148 @default.
- W2897672212 hasConcept C50644808 @default.
- W2897672212 hasConcept C51544822 @default.
- W2897672212 hasConcept C62520636 @default.
- W2897672212 hasConcept C74902906 @default.
- W2897672212 hasConcept C78045399 @default.
- W2897672212 hasConcept C80444323 @default.
- W2897672212 hasConcept C98045186 @default.
- W2897672212 hasConceptScore W2897672212C111919701 @default.
- W2897672212 hasConceptScore W2897672212C121332964 @default.
- W2897672212 hasConceptScore W2897672212C12426560 @default.
- W2897672212 hasConceptScore W2897672212C134306372 @default.
- W2897672212 hasConceptScore W2897672212C154945302 @default.
- W2897672212 hasConceptScore W2897672212C177264268 @default.
- W2897672212 hasConceptScore W2897672212C186565885 @default.
- W2897672212 hasConceptScore W2897672212C199360897 @default.
- W2897672212 hasConceptScore W2897672212C202887219 @default.
- W2897672212 hasConceptScore W2897672212C2524010 @default.
- W2897672212 hasConceptScore W2897672212C28826006 @default.
- W2897672212 hasConceptScore W2897672212C33923547 @default.
- W2897672212 hasConceptScore W2897672212C34862557 @default.
- W2897672212 hasConceptScore W2897672212C41008148 @default.
- W2897672212 hasConceptScore W2897672212C50644808 @default.
- W2897672212 hasConceptScore W2897672212C51544822 @default.
- W2897672212 hasConceptScore W2897672212C62520636 @default.
- W2897672212 hasConceptScore W2897672212C74902906 @default.
- W2897672212 hasConceptScore W2897672212C78045399 @default.
- W2897672212 hasConceptScore W2897672212C80444323 @default.
- W2897672212 hasConceptScore W2897672212C98045186 @default.
- W2897672212 hasFunder F4320335254 @default.
- W2897672212 hasLocation W28976722121 @default.
- W2897672212 hasLocation W28976722122 @default.