A mathematical model of a neurovascular unit (Dormanns et al 2015, 2016) (Farrs & David 2011)

 Download zip file 
Help downloading and running models
Accession:232956
Here a lumped parameter numerical model of a neurovascular unit is presented, representing an intercellular communication system based on ion exchange through pumps and channels between neurons, astrocytes, smooth muscle cells, endothelial cells, and the spaces between these cells: the synaptic cleft between the neuron and astrocyte, the perivascular space between the astrocyte and SMC, and the extracellular space surrounding the cells. The model contains various cellular and chemical pathways such as potassium, astrocytic calcium, and nitric oxide. The model is able to simulate neurovascular coupling, the process characterised by an increase in neuronal activity followed by a rapid dilation of local blood vessels and hence increased blood supply providing oxygen and glucose to cells in need.
Reference:
1 . Farr H, David T (2011) Models of neurovascular coupling via potassium and EET signalling. J Theor Biol 286:13-23 [PubMed]
2 . Dormanns K, van Disseldorp EM, Brown RG, David T (2015) Neurovascular coupling and the influence of luminal agonists via the endothelium. J Theor Biol 364:49-70 [PubMed]
3 . Dormanns K, Brown RG, David T (2016) The role of nitric oxide in neurovascular coupling. J Theor Biol 394:1-17 [PubMed]
Citations  Citation Browser
Model Information (Click on a link to find other models with that property)
Model Type: Synapse;
Brain Region(s)/Organism:
Cell Type(s): Astrocyte;
Channel(s): I Calcium; Kir; I Potassium;
Gap Junctions: Gap junctions;
Receptor(s): Glutamate; Ion Receptors; NMDA; IP3;
Gene(s):
Transmitter(s): Glutamate; NO;
Simulation Environment: MATLAB;
Model Concept(s): Calcium dynamics; Potassium buffering;
Implementer(s): Kenny, Allanah [allanah.kenny at pg.canterbury.ac.nz]; David, Tim ;
Search NeuronDB for information about:  NMDA; Glutamate; Ion Receptors; IP3; I Calcium; I Potassium; Kir; NO; Glutamate;
/
NVU12Model
src
README.md
.gitignore
                            
# OO-NVU
Object-oriented implementation of the NVU model and code.

Master branch: NVU 1.2

NVU 1.2
-------
Contains the following components that were not present in NVU 1.1:
* Extracellular space compartment
* Astrocytic calcium pathway with EETs
* TRPV4 channel on the astrocytic endfoot
* Nitric oxide pathway

Code 
----
The code is run in Matlab:
1) To solve the system use the script nvu_run_script.m
2) To quickly plot all variables use the script plot_all_variables.m 

Courtesy of the research group at University of Canterbury lead by Tim David. Majority of credit goes to:
Allanah Kenny, Dr Katharina Dormanns

For further information on the model refer to the following papers:

Farr, H., & David, T. (2011). Models of neurovascular coupling via potassium and EET signalling. Journal of Theoretical Biology, 286(1), 13–23. http://doi.org/10.1016/j.jtbi.2011.07.006

Dormanns, K., van Disseldorp, E. M. J., Brown, R. G., & David, T. (2015). Neurovascular coupling and the influence of luminal agonists via the endothelium. Journal of Theoretical Biology, 364, 49–70. http://doi.org/10.1016/j.jtbi.2014.08.029

Dormanns, K., Brown, R. G. G., & David, T. (2016). The role of nitric oxide in neurovascular coupling. Journal of Theoretical Biology, 394, 1–17. http://doi.org/10.1016/j.jtbi.2016.01.009