Mitral 2. The diagram below defines a model for a centrifugal LVAD connected Reference: Aortic Valve Ry Valve Rc from left ventricle to aorta. Derive the two differential equations Pv Rp based on E(t) the left ventricular elastance and C the arterial compliance. Set Fva =0 and plot Pa for 0 to 10 seconds to function emax( ) compare responses without the LVAD. Submit your Matlab t=0:.01:1; T=1; code and report in a Word document a1=.303; a2=.508; n1=1.32; Pv=15 mm Hg Fva^2 n2=21.9; Rv=.0275 mm Hg/(mL/sec) Emaxl=2.31; Pva Rc=.51 Eminl=.06; Mitral 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 H2=1./(1+(ty./a2*T).^n2); VIv(0)=185 mL El=Eminl+Emaxl.*H1.*H2; Fva=sqrt(130+Plv-Pa)*16.7 ml/sec VPa(0)=131 ml plot(t, El) Emax=2.3*.25 xlabel('Time (sec)') Fva=centrifugal LVAD flow Emin=.06 ylabel('Elastance (mm Hg/ml)') T=1 sec end