- Author:
- aram148 <a.rampadarath@auckland.ac.nz>
- Date:
- 2021-06-22 16:19:03+12:00
- Desc:
- updated Airway FTU
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/6b0/rawfile/570b17538769e0b862a411de9c2e69983b20f006/USMC/Maggio2012/ftu_eg.m
function [r, PA, PAW]=ftu_eg()
%Parameters
% k2 = 0.5;
% k7 = 0.01;
% k3 = 0.4;
% k4 = 0.1;
% k5 = 0.5;
% Ri_sq = 0.0174;
% rmax_sq = 0.1980;
% N1 = 1;
% N2 = 8;
% P1 = 0.295768328;
% P2 = -24.52310023;
% rho = 1;
% rmax = 0.4450;
% P0 = 10;
% f = 0.25;
% Pmin = 10;
% PL = 2;
% kappa = 1;
% aa = 10.19716213;
% moo = 1.9008e-8;
% E = 186;
% L = 2.6;
% Do = 0.0000156;
% Dc = 0.0000316;
% fom = 0.21;
% fcm = 0;
% VD = 0.151;
% VT = 0.41;
% L = 2.6;
% KT = 10000;
% Kc = 3600000;
% sigma = 0.0000014;
% Vc = 0.071;
% Th = 2e-6;
% l2 = 164000;
% r2 = 0.12;
% sigmac = 0.000033;
% z = 0.00000044219;
% delta = power(10.0000, 1.90000);
% hin = 1.00000.*power(1.00000, - 9.00000);
%
% %Initial conditions
%
% M = 1.0;
% AM = 0.0;
% Mp = 0.0;
% AMp = 0.0;
% r = 0.4450;
% PA = 10;
% VA = 1;
% fo = 0.1368;
% fc = 0.05263;
% po = 25;
% pc = 28;
%
% R=[M,AM,Mp,AMp,r,PA,VA,fo,fc,po,pc];
%
% %Algebraic Terms
% k1=0.35.*(t<5)+0.06.*(t>=5);
% k6=k1;
% df_satdp = ( ( L.*power(1.00000+ KT.*sigma.*po, 4.00000)+power(1.00000+ Kc.*sigma.*po, 4.00000)).*( 3.00000.*L.*power(KT, 2.00000).*power(sigma, 2.00000).*po.*1.00000.*power(1.00000+ KT.*sigma.*po, 2.00000)+ L.*KT.*sigma.*1.00000.*power(1.00000+ KT.*sigma.*po, 3.00000)+ 3.00000.*power(Kc, 2.00000).*power(sigma, 2.00000).*po.*1.00000.*power(1.00000+ Kc.*sigma.*po, 2.00000)+ Kc.*sigma.*1.00000.*power(1.00000+ Kc.*sigma.*po, 3.00000)) - ( L.*KT.*sigma.*po.*power(1.00000+ KT.*sigma.*po, 3.00000)+ Kc.*sigma.*po.*power(1.00000+ Kc.*sigma.*po, 3.00000)).*( 4.00000.*L.*KT.*sigma.*1.00000.*power(1.00000+ KT.*sigma.*po, 3.00000)+ 4.00000.*Kc.*sigma.*1.00000.*power(1.00000+ Kc.*sigma.*po, 3.00000)))./power( L.*power(1.00000+ KT.*sigma.*po, 4.00000)+power(1.00000+ Kc.*sigma.*po, 4.00000), 2.00000);
% v = 0.200000+ 0.00400000.*PA;
% x = 1.00000 - r./power(v, 0.330000);
% Ptau = PA+ PA.*( 1.40000.*x+ 2.10000.*power(x, 2.00000));
% Raw = ( 8.00000.*aa.*L.*moo)./( pi.*power(r, 4.00000));
% Pab = ( P0.*E)./power((power(E, 2.00000)+power( 2.00000.* pi.*f.*Raw, 2.00000)), 1.0 ./ 2);
% stress = AMp+AM;
% Plumen = (Paw+PA)./2.00000;
% Ptm = (Plumen - ( kappa.*stress)./r)+Ptau;
% pac = fc.*(PA - Paw);
% q = (Pab - PA)./Raw;
% pao = fo.*(PA - Paw);
% QA = q+ 1.00000.*Dc.*(pc - pac)+ 1.00000.*Do.*(po - pao);
% phos = AMp+Mp;
% fL = power( sin( (( pi.*r)./2.00000).*rmax), 3.00000);
% alpha = atan(( 2.00000.* pi.*f.*VOI.*Raw)./E);
% P0 = Plumen - PA;
%
% if Ptm<=0
% % a=a0(s).*(1-(Ptm./P1)).^(-N1(s));
% rad=sqrt(Ri_sq*(1-(Ptm/P1)).^-N1);
%
% elseif Ptm>=0
% % a=(1-((1-a0(s)).*(1-(Ptm./P2)).^(-N2(s))));
% rad=sqrt(rmax_sq-(rmax_sq-Ri_sq)*(1-(Ptm/P2)).^-N2);
%
% end
% radius=rad;
%
% if VT>=VD
% foi=(fo.*VD+ fom.*(VT - VD))./VT;
% elseif VT<VD
% foi=fo;
% end
%
% if VT>=VD
% fci=(fc.*VD+ fcm.*(VT - VD))./VT;
% elseif VT<VD
% fci=fc;
% end
% Paw = P0.* sin( 2.00000.* pi.*f.*t);
% dxdt = ((( 0.00132000.*r.*Pab.*E.*QA)./( PA.*1.00000)+dPtau)./( 0.00400000.*PA+0.200000).^1.33000 - rdot./( 0.00400000.*PA+0.200000).^0.330000);
% dPtau =( PA.*( 4.20000.*x.*dxdt+ 1.40000.*dxdt)+( Pab.*E.*QA)./( PA.*1.00000)+ dPtau.*( 1.40000.*x+ 2.10000.*(x).^2);
