Mitral 1. The diagram below defines a model for a centrifugal LVAD Reference: Aortic Valve Ry Valve Rc connected from left ventricle to aorta. Derive the two differential Rp equations based on E(t) the left ventricular elastance and C the arterial compliance. Using the initial conditions as shown, plot Pa function emax( ) from time 0 to 10 seconds using the time varying elastance model t=0:.01:1; as listed in the reader and class slides. T=1; a1=.303; a2=.508; n1=1.32; Pv=15 mm Hg Fva^2 Rv=.0275 mm Hg/(mL/sec) n2=21.9; Emaxl=2.31; O Pva Rc=.51 Mitral Eminl=.06; Valve Ry Pven Rc Pa Rp=1.05 ty=T*(1+sawtooth(2*pi*1*t))/2; C=1.6 ml/mm Hg H1=(ty./(a1*T)).^n1./(1+(ty./a2*T).^n1); Pv Rp Viv(0)=185 mL H2=1./(1+(ty./a2*T).^n2); El=Eminl+Emaxl.*H1.*H2; Fva=sqrt(130+Plv-Pa)*16.7 ml/sec VPa(0)=131 ml Emax=2.3*.25 plot(t, El) Fva=centrifugal LVAD flow Emin=.06 xlabel('Time (sec)') T=1 sec ylabel('Elastance (mm Hg/ml)') end