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Component: Environmental

Component: Parameters

Component: Nervous_System

alpha_cns = Gcns n n = S (delta - (Zeta delta_th))

Component: Aortic_Wall

\frac{d}{d t} (A) = \frac{\frac{- (\sqrt{\frac{A}{π}} - R0)}{Cwall} + P}{Bwall} R = {(\frac{A}{π})}^{0.5} P = 100 + 10 \sin (5 t)

Component: Coupling_Dynamics

\frac{d}{d t} (Eps_1) = \frac{Kne (Eps_wall - Eps_1) - (K1 (Eps_1 - Eps_2))}{B1} + \frac{d}{d t} (Eps_2) \frac{d}{d t} (Eps_2) = \frac{(K1 (Eps_1 - Eps_2) - (K2 (Eps_2 - Eps_3))) + B1 \frac{d}{d t} (Eps_1) + B2 \frac{d}{d t} (Eps_3)}{B1 + B2} \frac{d}{d t} (Eps_3) = \frac{(K2 (Eps_2 - Eps_3) - (K3 Eps_3)) + B2 \frac{d}{d t} (Eps_2)}{B2 + B3} Delta = Eps_wall - Eps_1 Eps_wall = \frac{R - R0}{R0}

Component: PNS_tones

Ts = Ts_min + \frac{Ts_max - Ts_min}{ⅇ^{Gs (alpha_cns - alpha_s0)} + 1} Tp = Tp_min + \frac{Tp_max - Tp_min}{ⅇ^{(- Gp) (alpha_cns - alpha_p0)} + 1}

Component: Norepinephrine

\frac{d}{d t} (c_nor) = (- (\frac{c_nor}{tau_nor})) + q_nor Ts

Component: Acetylcholine

\frac{d}{d t} (C_ach) = (- (\frac{C_ach}{Tau_ach})) + q_ach Tp

Component: Heart_Response_Nor

delta_HR_ss = \frac{delta_HR_smax {C_nor}^{2}}{{K_nor}^{2} + {C_nor}^{2}} delta_HR_smax = HR_max - HR0 \frac{d}{d t} (delta_HR_s) = \frac{(- delta_HR_s) + delta_HR_ss}{Tau_HR_nor}

Component: HR_ach

delta_HR_ps = \frac{delta_HR_pmax {C_ach}^{2}}{{K_ach}^{2} + {C_ach}^{2}} delta_HR_pmax = HR0 - HR_min delta_HR_pfast = Gamma delta_HR_ps \frac{d}{d t} (delta_HR_pslow) = \frac{(- delta_HR_pslow) + (1 - Gamma) delta_HR_ps}{tau_HR_ach} delta_HR_p = delta_HR_pfast + delta_HR_pslow

Component: HR_Combined

HR = HR_p + \frac{(HR_s - HR0) (HR_p - (Beta HR_min))}{HR0 - (Beta HR_min)} HR_s = HR0 + delta_HR_s HR_p = HR0 - delta_HR_p Period = \frac{60}{HR}

Source: Derived from workspace Bugenhagen 2010 at changeset cac8b4a154b4.

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Bugenhagen 2010