function dydt = f(t,y,flag) % constants from Table 3 (Spiro et al.) k1c=0.17; % 1/s k3c=30*k1c; % 1/s ratiok1bk1a=1.7e-6; % M ratiok3ck3a=1.7e-6; % M k_1=4e5; % 1/(Ms) k_3=k_1; % 1/(Ms) k8=15; % 1/s k9=3*k8; % 1/s k11=0; % 1/s k12=1.1*k8; % 1/s %k12=30; kb=8e5; % 1/(Ms) ky=3e7; % 1/(Ms) k_b=0.35; % 1/s k_y=5e5; % 1/(Ms) Kbind=1e6; % 1/M Yo=20e-6; % M Bo=1.7e-6; % M To=8e-6; % M Ro=0.3e-6; % M Zo=40e-6; % M % [T2]+[LT2] = y(1) % [T3]+[LT3] = y(2) % [T2p]+[LT2p] = y(3) % [Bp] = y(4) % [Yp] = y(5) cligand=1e-6; if t>20 cligand=1e-3; end; if t>50 cligand=1e-6; end; Vmaxunbound=k1c*Ro; % maximum turnover rate (MM kinetics) for unbound receptors Vmaxbound=k3c*Ro; % maximum turnover rate (MM kinetics) for bound receptors KR=ratiok1bk1a; % Michaelis constant fb=Kbind*cligand/(1+Kbind*cligand); % fraction receptors bound to ligand fu=1-fb; % fraction receptors not bound to ligand kpt=ky*(Yo-y(5))+kb*(Bo-y(4)); ydot1=(-k8*fu-k11*fb)*y(1)+kpt*y(3)+(k_1*fu+k_3*fb)*y(2)*y(4)-Vmaxunbound*y(1)*fu/(KR+y(1)*fu)-Vmaxbound*y(1)*fb/(KR+y(1)*fb); ydot2=(-k9*fu-k12*fb)*y(2)+kpt*(To-y(1)-y(2)-y(3))-(k_1*fu+k_3*fb)*y(2)*y(4)+Vmaxunbound*y(1)*fu/(KR+y(1)*fu)+Vmaxbound*y(1)*fb/(KR+y(1)*fb); ydot3=(k8*fu+k11*fb)*y(1)-kpt*y(3)+(k_1*fu+k_3*fb)*(To-y(1)-y(2)-y(3))*y(4)-Vmaxunbound*y(3)*fu/(KR+y(3)*fu)+Vmaxbound*y(3)*fb/(KR+y(3)*fb); ydot4=kb*(To-y(1)-y(2))*(Bo-y(4))-k_b*y(4); ydot5=ky*(To-y(1)-y(2))*(Yo-y(5))-k_y*y(5)*Zo; dydt=[ydot1; ydot2; ydot3; ydot4; ydot5];