Model Mathematics

Component: Environmental

Component: Parameters

Component: Nervous_System

alpha_cns=Gcnsnn=Sdelta-Zetadelta_th

Component: Aortic_Wall

ddtA=-Aπ-R0Cwall+PBwallR=Aπ0.5P=100+10sin5t

Component: Coupling_Dynamics

ddtEps_1=KneEps_wall-Eps_1-K1Eps_1-Eps_2B1+ddtEps_2ddtEps_2=K1Eps_1-Eps_2-K2Eps_2-Eps_3+B1ddtEps_1+B2ddtEps_3B1+B2ddtEps_3=K2Eps_2-Eps_3-K3Eps_3+B2ddtEps_2B2+B3Delta=Eps_wall-Eps_1Eps_wall=R-R0R0

Component: PNS_tones

Ts=Ts_min+Ts_max-Ts_minGsalpha_cns-alpha_s0+1Tp=Tp_min+Tp_max-Tp_min-Gpalpha_cns-alpha_p0+1

Component: Norepinephrine

ddtc_nor=-c_nortau_nor+q_norTs

Component: Acetylcholine

ddtC_ach=-C_achTau_ach+q_achTp

Component: Heart_Response_Nor

delta_HR_ss=delta_HR_smaxC_nor2K_nor2+C_nor2delta_HR_smax=HR_max-HR0ddtdelta_HR_s=-delta_HR_s+delta_HR_ssTau_HR_nor

Component: HR_ach

delta_HR_ps=delta_HR_pmaxC_ach2K_ach2+C_ach2delta_HR_pmax=HR0-HR_mindelta_HR_pfast=Gammadelta_HR_psddtdelta_HR_pslow=-delta_HR_pslow+1-Gammadelta_HR_pstau_HR_achdelta_HR_p=delta_HR_pfast+delta_HR_pslow

Component: HR_Combined

HR=HR_p+HR_s-HR0HR_p-BetaHR_minHR0-BetaHR_minHR_s=HR0+delta_HR_sHR_p=HR0-delta_HR_pPeriod=60HR
Source
Derived from workspace Bugenhagen 2010 at changeset cac8b4a154b4.
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