Vascular Endothelium - Tissue Functioning and Remodeling in the Circulatory and Ventilatory Systems - page 600

The corresponding set of equations is:

k ( T )
1

∂ t [ MLCK a ]= [ S Ta ][ MLCK ] , t ∈ [ 0 , τ 1 ]

k ( WSS )
1

∂ t [ R a ]= [ NO ][ R ] , t ∈ [ τ 1 , τ 2 ]

k ( T )
3

∈ [ τ 1 , τ 2 ]
This set of equations is typically used by chemists. Similarly to rheology,
data mining can be inefficient and values of kinetic coefficients can remain
unknown. Therefore, more abstract transport-reaction equations are preferred.
The following hypotheses are used. The endoplasmic reticulum is close to the
plasma membrane for fast calcium release triggered by IP 3 . The local activation
of MLCK primes actomyosin filament assembling. The GCase-cGMP-PKG axis
inhibits IP 3 formation in smooth myocytes at the plasma membrane for efficient
signaling (i.e., low activation threshold, long lifetime, and fast transmission) and
local activation of MLCP. In vascular smooth myocytes, MLCK is transported from
plasma membrane to a set of azimuthal planes to constitute stress fibers and ensure
sustained contraction or conversely MLCP transport for actomyosin disassembling.
Regulators of the vasomotor tone released from endothelial cells are transported to
smooth myocytes instantaneously through myoendothelial junction and with a delay
through subendothelial space.

∂ t [ MLCK a ]= [ R a ][ MLCK ] , t