Neuron recipes

The diffusion MRI signal arising from neurons can be numerically simulated by solving the Bloch-Torrey partial differential equation. In order to facilitate the diffusion MRI simulation of realistic neurons by the research community, we constructed finite element meshes for a group of 36 pyramidal neurons and a group of 29 spindle neurons whose morphological descriptions were found in the publicly available neuron repository NeuroMopho.org Chengran Fang, Van-Dang Nguyen, Demian Wassermann, Jing-Rebecca Li (2020). These finite elements meshes range from having 15163 nodes to 622553 nodes. We also broke the neurons into the soma and dendrite branches and created finite elements meshes for these cell components. Through the Neuron Module, these neuron and components finite element meshes can be seamlessly coupled with the functionalities of SpinDoctor to provide the diffusion MRI signal that can be attributed to spins inside neurons.

The neuron models and the measurement data are from Giorgio A. Ascoli, Duncan E. Donohue, Maryam Halavi (2007) and Karli K Watson, Todd K Jones, John M Allman (2006).

The neuron mesh files are available at https://github.com/SpinDoctorMRI/RealNeuronMeshes.

The table below lists the names and the finite element mesh sizes of the group of 36 pyramidal neurons and the group of 29 spindle neurons.

Neuron IDNum. of FE mesh nodesNeuron IDNum. of FE mesh nodes
03a_spindle2aFI3820202a_pyramidal2aFI119156
03a_spindle6aFI4400002b_pyramidal1aACC45216
03b_spindle4aACC1737002b_pyramidal1aFI105384
03b_spindle5aACC2634503a_pyramidal9aFI81530
03b_spindle6aACC2679203b_pyramidal2aACC28183
03b_spindle7aACC2161803b_pyramidal3aACC27607
04b_spindle3aFI5126503b_pyramidal3aFI151362
05b_spindle5aFI2245703b_pyramidal4aFI96177
06b_spindle8aACC1516303b_pyramidal9aFI66162
07b_spindle9aACC5495204a_pyramidal4aACC150897
08a_spindle13aACC4629304a_pyramidal5aACC89256
09o_spindle7aFI3899204b_pyramidal5aFI95784
09o_spindle8aFI6075504b_pyramidal6aACC87195
10a_spindle18aACC2579704b_pyramidal6aFI90482
12a_spindle19aACC3184104b_pyramidal7aACC622553
12o_spindle9aFI2932005a_pyramidal10aACC201506
13o_spindle10aFI4308105a_pyramidal8aACC139975
15o_spindle12aFI10154805b_pyramidal7aFI208203
16o_spindle13aFI1826605b_pyramidal8aFI124350
19o_spindle14aFI2578605b_pyramidal9aACC366659
21o_spindle15aFI2882206a_pyramidal11aACC319574
23o_spindle16aFI3007306b_pyramidal10aFI106808
25o_spindle17aFI5291906b_pyramidal12aACC277718
26o_spindle18aFI3623907a_pyramidal13aACC155854
27o_spindle19aFI5080707b_pyramidal14aACC309789
28o_spindle20aFI5603608o_pyramidal11aFI419651
28o_spindle21aFI1758110a_pyramidal15aACC56184
29o_spindle22aFI1841411a_pyramidal16aACC222732
30o_spindle23aFI2635711o_pyramidal12aFI380293
22o_pyramidal16aFI38987817o_pyramidal13aFI326989
24o_pyramidal17aFI24505818o_pyramidal14aFI338453
25o_pyramidal18aFI7120920o_pyramidal15aFI247116
31o_pyramidal19aFI619390

The following table shows the morphological characteristics for the neurons.

Neuron IDBrain regionAvg. dia. $(\mu m)$Height $(\mu m)$Soma vol. $(\mu m^3)$Total vol. $(\mu m^3)$
02a_pyramidal2aFIfronto-insula1.27404.8519701.0525639.61
02b_pyramidal1aACCanterior cingulate1.58363.089065.5611579.71
02b_pyramidal1aFIfronto-insula1.62381.5622475.5229804.96
03a_pyramidal9aFIfronto-insula2.15532.3022557.2730189.28
03a_spindle2aFIfronto-insula1.74387.1613406.2717684.23
03a_spindle6aFIfronto-insula1.66501.4733458.1937812.72
03b_pyramidal2aACCanterior cingulate1.48189.292977.214487.44
03b_pyramidal3aACCanterior cingulate1.14188.456005.066891.04
03b_pyramidal3aFIfronto-insula1.84496.3532510.6246154.08
03b_pyramidal4aFIfronto-insula1.33414.7035253.8539324.87
03b_pyramidal9aFIfronto-insula1.92430.0615263.1420532.57
03b_spindle4aACCanterior cingulate1.43336.333098.394070.19
03b_spindle5aACCanterior cingulate1.49221.5211925.7813242.53
03b_spindle6aACCanterior cingulate1.33398.364027.746058.67
03b_spindle7aACCanterior cingulate1.18369.514982.416076.52
04a_pyramidal4aACCanterior cingulate1.52705.965684.5513637.33
04a_pyramidal5aACCanterior cingulate1.86410.5915010.4324648.35
04b_pyramidal5aFIfronto-insula1.78480.1310312.8717184.26
04b_pyramidal6aACCanterior cingulate1.41465.883129.977497.12
04b_pyramidal6aFIfronto-insula1.56310.2114718.0521708.21
04b_pyramidal7aACCanterior cingulate1.3610.4217060.6028552.49
04b_spindle3aFIfronto-insula2.71391.1422569.9928404.13
05a_pyramidal10aACCanterior cingulate1.74281.2016604.0621826.41
05a_pyramidal8aACCanterior cingulate1.29430.3724709.7729778.79
05b_pyramidal7aFIfronto-insula2.18281.0225720.1132731.05
05b_pyramidal8aFIfronto-insula1.66361.4532527.0644679.46
05b_pyramidal9aACCanterior cingulate1.56650.6023948.0540014.54
05b_spindle5aFIfronto-insula2.35381.8815383.0818190.63
06a_pyramidal11aACCanterior cingulate1.46437.6017222.0229995.02
06b_pyramidal10aFIfronto-insula1.92365.1843127.8152179.53
06b_pyramidal12aACCanterior cingulate1.52324.9417181.3324931.32
06b_spindle8aACCanterior cingulate1.92342.2118237.4919462.92
07a_pyramidal13aACCanterior cingulate1.37325.736254.538738.01
07b_pyramidal14aACCanterior cingulate1.67350.4016053.0722772.96
07b_spindle9aACCanterior cingulate1.75437.8721344.8327307.48
08a_spindle13aACCanterior cingulate1.74814.459911.0714113.32
08o_pyramidal11aFIfronto-insula1.91421.6811512.3824326.94
09o_spindle7aFIfronto-insula2.90472.8722052.1027905.89
09o_spindle8aFIfronto-insula2.05376.7311923.7615189.32
10a_pyramidal15aACCanterior cingulate1.40341.488522.1110960.84
10a_spindle18aACCanterior cingulate1.57457.905895.177219.28
11a_pyramidal16aACCanterior cingulate1.27486.318807.0112263.84
11o_pyramidal12aFIfronto-insula1.91369.3470786.6279516.92
12a_spindle19aACCanterior cingulate2.05431.2212178.0815618.67
12o_spindle9aFIfronto-insula3.41305.3129983.7936678.18
13o_spindle10aFIfronto-insula2.69516.9239866.5546022.15
15o_spindle12aFIfronto-insula3.60604.5753192.6579170.43
16o_spindle13aFIfronto-insula2.17364.6617467.8818888.13
17o_pyramidal13aFIfronto-insula1.89340.7711004.3021167.19
18o_pyramidal14aFIfronto-insula1.74288.4169851.5678999.20
19o_spindle14aFIfronto-insula2.18232.2110507.1512905.43
20o_pyramidal15aFIfronto-insula1.82383.1822344.3227667.19
21o_spindle15aFIfronto-insula2.36286.3317567.6929466.53
22o_pyramidal16aFIfronto-insula1.94585.3518776.0529441.43
23o_spindle16aFIfronto-insula1.67420.0510429.1313482.93
24o_pyramidal17aFIfronto-insula2.04371.9940986.4047377.09
25o_pyramidal18aFIfronto-insula1.80364.0518587.1323572.15
25o_spindle17aFIfronto-insula1.79358.707897.4413563.26
26o_spindle18aFIfronto-insula2.27442.6552911.9356084.44
27o_spindle19aFIfronto-insula1.73275.0820640.1425423.96
28o_spindle20aFIfronto-insula3.00520.6935442.5951267.07
28o_spindle21aFIfronto-insula2.62298.5735579.0637783.31
29o_spindle22aFIfronto-insula3.52402.8462928.2283279.12
31o_pyramidal19aFIfronto-insula2.26303.5565950.8086376.72