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Table 1 List of the variables calculated during the simulations

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

Variable name

Description

\(\Delta {V}_{c}\)

CSF volume change cranially, from supine baseline

\(\Delta {V}_{s}\)

CSF volume change spinally, from supine baseline

\(\Delta {V}_{ONSAS}\)

CSF volume change in the ONSAS, from supine baseline

\({Q}_{ou{t}_{c}}\)

CSF outflow, cranially

\({Q}_{ou{t}_{s}}\)

CSF outflow, spinally

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

CSF outflow across the optic nerve sheath

\({Q}_{c-s}\)

CSF flow between the cranial and spinal compartment (positive in cranial-spinal direction)

\({Q}_{c-ONSAS}\)

CSF flow between he cranial compartment and the ONSAS

\({Q}_{LC}\)

CSF inflow from the eye across the lamina cribrosa

\({p}_{c}\)

Pressure in the cranial compartment (ICP)

Hydrostatic ref: auditory meatus

\({p}_{s}\)

Pressure in the spinal compartment

Hydrostatic ref: venous hydrostatic indifference point

\({p}_{ONSAS}\)

Pressure in the ONSAS

Hydrostatic ref: the lamina cribrosa

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

ICP referenced to the hydrostatic level of the lamina cribrosa

\({p}_{vc}\)

Dural sinus pressure

Hydrostatic ref: auditory meatus

\({R}_{ONSAS}\)

Total flow resistance in the ONSAS

\({R}_{LC}\)

Resistance to flow across the lamina cribrosa

\({h}_{s-c}\)

Vertical height from the spinal to the cranial reference points

\({h}_{c-lc}\)

Vertical height from the cranial reference point to the lamina cribrosa

\(\kappa\)

Permeability of the ONSAS*

\({r}_{ONS}\)

Radius of the optic nerve sheath*

\({r}_{ON}\)

Radius of the optic nerve*

\({C}_{ONSAS}\)

Total compliance of the ONSAS

\(D\)

Distensibility of the ONSAS*

\(\varphi\)

ONSAS porosity*

\(\alpha\)

Upper body tilt-angle

  1. *Varies along the ONSAS