Generalised Filtering

Table 1

(a) Biophysical parameters (state-equation). (b) Biophysical parameters (observer).

(a)

	Description	Value (and prior mean
$k$	rate of signal decay	$1.2{\hspace{0.17em}\text{s}}^{-1}$
$\chi$	rate of flow-dependent elimination	$0.31{\hspace{0.17em}\text{s}}^{-1}$
$\tau$	transit time	$2.14\hspace{0.17em}\text{s}$
$\alpha$	Grubb's exponent	$0.36$
$\varphi$	resting oxygen extraction fraction	$0.36$

(b)

	Description	Value
$V_0$	Blood volume fraction	$0.04$
$\epsilon$	Intra/extra-vascular ratio	$1$