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Table 2 This is a list of the parameters for simulations of a healthy subject

From: Mathematical modelling of the CSF system: effects of microstructures and posture on optic nerve subarachnoid space dynamics

Parameter

Notation

Value

Units

Refs.

Spinal venous pressure

\({p}_{vs}\)

4.2

mmHg

[53]

Viscous pressure loss below the jugular veins

\({{p}_{vi}}_{s}\)

2.2

mmHg

[46]

Viscous pressure loss above the jugular veins

\({{p}_{vi}}_{c}\)

2

mmHg

[46]

Orbital pressure

\({p}_{orb}\)

3

mmHg

[52]

Reference pressure CSF in supine

\({p}_{ref}\)

9.1

mmHg

[80]

Exponential constant

\({p}_{1}\)

2.1

mmHg

As in Gehlen et al. [23]. \({p}_{ref}\) and (\({p}_{{c}_{sup}}\)) are required

Offset pressure spinally

\({p}_{0s}\)

4.9

mmHg

Equation (14). \({p}_{vs}\) and \({p}_{ref}\) are needed

Offset pressure cranially

\({p}_{0c}\)

0.7

mmHg

Equation (14). \({p}_{vs}\),\({{p}_{vi}}_{s}\), \({{p}_{vi}}_{c}\) and \({p}_{ref}\) are needed

ONSAS pressure at baseline

\({p}_{{0}_{ONSAS}}\)

7.35

mmHg

Chosen so that ΔV_ONSAS = 0 in supine equilibrium

CSF formation rate

\({Q}_{f}\)

0.35

ml/min

[29, 81]

Craniospinal outflow resistance

\({R}_{out}\)

8.6

mmHg/(ml/min)

[33]

Resistance of the ONS

\({R}_{ou{t}_{ONS}}\)

3968

mmHg/(ml/min)

Calc. from a “permeability” measure assessed by Raykin et al. [34] times \({\overline{A} }_{ONS}\)

Resistance of cranial cervical junction

\({R}_{CS}\)

0.001

mmHg/(ml/min)

[35]

Baseline LC resistance

\({R}_{LC}\)

1.9e6

mmHg/(ml/min)

See sensitivity analysis. Section “Specific flow resistances

Density of blood

\({\rho }_{b}\)

1060

kg/m3

Density of CSF

\({\rho }_{CSF}\)

1000

kg/m3

Viscosity of CSF

\(\mu\)

0.9

mPa s

Gravitational acceleration

\(g\)

9.81

m/s2

Distance from jugular vein collapse to auditory meatus

\({l}_{ijv-c}\)

0.1

m

[53]

Length from venous HIP to the jugular vein collapse

\({l}_{s-ijv}\)

0.276

m

[53]

Length from venous HIP to the auditory meatus

\({l}_{s-am}\)

0.376

m

[53]

Cranio-spinal elastance coefficient

\(E\)

0.2

1/ml

[82]

Constant reflecting spinal compliance contribution in supine

\({k}_{s}\)

0.35

[83, 84]

Relative spinal outflow resistance

\({ROF}_{s}\)

0.05

Estimated as in Gehlen et al. [23]

Distance from auditory meatus to posterior LC

\({l}_{AP}\)

0.0519

m

[51]

Distance from cornea to anterior side of LC

\({l}_{SI}\)

0.0379

m

[51]

Average ONS distensibility along the optic nerve*

\(D\)

0.018

mm/mmHg

\(D\) and \({D}_{i}\) are calculated as in Holmlund et al. [18] using ONS sizes from HUT and HDT MRI

Intraocular pressure at the LC

\(IOP\)

18.9 sup 15.1 upright

mmHg

[51]

  1. HUT head-up tilt, HDT head-down tilt
  2. *These distensibility values also agree well with that acquired in other MRI studies [85]