You are here: Home / Exposures / De Paor, Timmons, 1986 / A feedback oscillator model for circulatory autoregulation

Model Mathematics

Component based math viewer is available

Component: environment

Component: f

f = a p r^{4.0}

Component: r

\frac{d}{d time} (r) = beta (p r - (alpha {(r - r0)}^{2.0} ur0 + m))

Component: y

y = (r - r1) ur1

Component: z

z = \frac{y - x1}{t1}

Component: x1

\frac{d}{d time} (x1) = \frac{y - x1}{t1}

Component: q

q = k (1.0 - (ⅇ^{- (d z)})) uz

Component: x2

\frac{d}{d time} (x2) = \frac{q - x2}{t2}

Component: x3

\frac{d}{d time} (x3) = \frac{x2 - x3}{t2}

Component: m

m = x3 phi

Component: phi

phi = \{\begin{matrix} 0.0 if r < 0.25 \\ 0.0 if r > 2.0 \\ 1.0 - (1.3061225 (r - 1.125) (r - 1.125)) otherwise \end{matrix}

Component: ur0

ur0 = \{\begin{matrix} 1.0 if r > r0 \\ 0.0 otherwise \end{matrix}

Component: ur1

ur1 = \{\begin{matrix} 1.0 if r > r1 \\ 0.0 otherwise \end{matrix}

Component: uz

uz = \{\begin{matrix} 1.0 if z > 0.0 \\ 0.0 otherwise \end{matrix}

Component: h

\frac{d}{d time} (h) = \frac{f - h}{t4}

Component: model_parameters

Source: Derived from workspace Depaor, Timmons, 1986 at changeset e93bf019cc3a.

Collaboration: To begin collaborating on this work, please use your git client and issue this command:

Downloads

Views Available

Tools

License: This work is licensed under a Creative Commons Attribution 3.0 Unported License.

A feedback oscillator model for circulatory autoregulation