Volume 3, Issue 6
A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression

Huaxiong Huang, Robert M. Miura & Wei Yao

Adv. Appl. Math. Mech., 3 (2011), pp. 759-773.

Published online: 2011-03

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  • Abstract

In this paper, we construct a simplified neuronal model that is capable of simulating the instigation of cortical spreading depression (CSD) and propagation of a CSD wave. Our model is a simplification and extension of a single neuron model proposed in the literature for studying the instigation of CSD. Using the simplified neuronal model, we construct a network of these simplified neurons.   This network model shows that the propagation of a CSD wave occurs naturally after it is instigated electrically or chemically. Although the model is simple, the speed of the CSD wave predicted by our model is consistent with experimentally observed values. Finally, our model allows us to investigate the effects of specific ion channels on the spread of a CSD wave.

  • Keywords

Cortical spreading depression neuronal model network numerical simulation

  • AMS Subject Headings

34A33 34A34 92C20 92C42 97M60

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COPYRIGHT: © Global Science Press

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@Article{AAMM-3-759, author = {Huaxiong Huang, Robert M. Miura and Wei Yao}, title = {A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {6}, pages = {759--773}, abstract = {

In this paper, we construct a simplified neuronal model that is capable of simulating the instigation of cortical spreading depression (CSD) and propagation of a CSD wave. Our model is a simplification and extension of a single neuron model proposed in the literature for studying the instigation of CSD. Using the simplified neuronal model, we construct a network of these simplified neurons.   This network model shows that the propagation of a CSD wave occurs naturally after it is instigated electrically or chemically. Although the model is simple, the speed of the CSD wave predicted by our model is consistent with experimentally observed values. Finally, our model allows us to investigate the effects of specific ion channels on the spread of a CSD wave.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1052}, url = {http://global-sci.org/intro/article_detail/aamm/195.html} }
TY - JOUR T1 - A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression AU - Huaxiong Huang, Robert M. Miura & Wei Yao JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 759 EP - 773 PY - 2011 DA - 2011/03 SN - 3 DO - http://doi.org/10.4208/aamm.10-m1052 UR - https://global-sci.org/intro/article_detail/aamm/195.html KW - Cortical spreading depression KW - neuronal model KW - network KW - numerical simulation AB -

In this paper, we construct a simplified neuronal model that is capable of simulating the instigation of cortical spreading depression (CSD) and propagation of a CSD wave. Our model is a simplification and extension of a single neuron model proposed in the literature for studying the instigation of CSD. Using the simplified neuronal model, we construct a network of these simplified neurons.   This network model shows that the propagation of a CSD wave occurs naturally after it is instigated electrically or chemically. Although the model is simple, the speed of the CSD wave predicted by our model is consistent with experimentally observed values. Finally, our model allows us to investigate the effects of specific ion channels on the spread of a CSD wave.

Huaxiong Huang, Robert M. Miura & Wei Yao. (1970). A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression. Advances in Applied Mathematics and Mechanics. 3 (6). 759-773. doi:10.4208/aamm.10-m1052
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