%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % Victor V. Matveev, Richard Bertram and Arthur Sherman (2009) % Ca2+ current vs. Ca2+ channel cooperativity of exocytosis % Journal of Neuroscience, 29(39): 12196-12209. % % Plots Figures 7 & 8 using data produced by CalC script Fig7_8.par % Victor Matveev, January 8, 2010 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% global K; figure(1); fig2 = 4; name = 'Fig7_8.par.Dist0.02.Imax0.05pA.80x80x50.dat'; tstr = 'Equidistant channels (20nm), No-flux b.c., mobile buffer'; lst = {'-', ':', '-.', '--', '-'}; Bmax = 10000; bgr = 0.1; fraction = 0.1; A = process2D(name,11); BT = squeeze( A(1,:,:) ); r00 = A(2); r10 = squeeze( A(3,:,:) ); r01 = squeeze( A(4,:,:) ); r11 = squeeze( A(5,:,:) ); c10 = squeeze( A(6,:,:) ); c01 = squeeze( A(7,:,:) ); c11 = squeeze( A(8,:,:) ); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% log1 = 0; log2 = 0; labelFontSize=12; axisFontSize=12; titleFontSize=14; rho = [0:0.01:0.99]; BTA = [0:20:1000]; xl = 'p_o (open channel fraction)'; iRange = 1:10:40; ds = 0.8 / iRange(length(iRange)); lstr = []; j = 0; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% for i = iRange j = j + 1; grsh = ds*i; cl = [grsh grsh grsh]; lw = 3*grsh + 1; r = r11(i) / r10(i); fr = 1 + r01(i) / r10(i); fc = 1 + (c01(i)-bgr) / (c10(i)-bgr); eps = r00 / r10(i); lstr = [lstr; {sprintf('B_{total}=%d\\muM, r=%.3g',round(BT(i)), r)} ]; R0 = eps * rho.^2; RR = r*(1 - rho).^2 + fr*rho.*(1-rho); I = find(R0 > fraction*RR); if length(I) > 0 ii = I(1); else ii = length(rho); end; MICa = ( 2*r*(1-rho) - fr*(1-2*rho) - 2*eps*rho ) ./ (r*(1 - rho) + fr*rho + eps*rho.^2./(1-rho)); Mch = ( fr*rho + r*fc*(1-rho) ) ./ (r*(1 - rho) + fr*rho + eps*rho.^2./(1-rho)); subplot(1,2,1); hold on; yl = 'm_{ICa}'; plot(1-rho(1:ii), MICa(1:ii), lst{j}, 'color', cl, 'linewidth', lw); title('Current cooperativity, m_{ICa}', 'fontSize', titleFontSize); if i == 1 text(-0.05,2.05,'A', 'FontSize', titleFontSize+2); end; axis([0 1 1 2]); xlabel(xl,'FontSize',labelFontSize); ylabel(yl,'FontSize',labelFontSize); set(gca,'FontSize',axisFontSize); set(gca,'box','off'); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% subplot(1,2,2); hold on; yl = 'm_{CH}'; plot(1-rho(1:ii), Mch(1:ii), lst{j}, 'color', cl, 'linewidth', lw); title('Channel cooperativity, m_{CH}', 'fontSize', titleFontSize); if i == 1 text(-0.05,2.05,'B', 'FontSize', titleFontSize+2); end; axis([0 1 1 2]); xlabel(xl,'FontSize',labelFontSize); ylabel(yl,'FontSize',labelFontSize); set(gca,'FontSize',axisFontSize); legend(lstr); set(gca,'box','off'); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% drawnow; end; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% figure(fig2); log1 = 0; log2 = 0; labelFontSize=16; axisFontSize=16; rhoA = [0.2 0.4 0.6 0.8]; lstr = []; xl = 'B_{total}'; I = find(BT > Bmax); if length(I)==0, I=[length(BT)]; end; r = r11(1:I(1)) ./ r10(1:I(1)); fr = 1 + r01(1:I(1)) ./ r10(1:I(1)); fc = 1 + (c01(1:I(1)) - bgr) ./ (c10(1:I(1)) - bgr); eps = r00 ./ r10(1:I(1)); i = 0; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% for rho = rhoA i = i + 1; lstr = [lstr; { sprintf('p_o=%g', 1-rho) } ]; grsh = (rho - min(rhoA))/(max(rhoA) - min(rhoA)); cl = 0.8 .* [grsh grsh grsh]; lw = 2*grsh + 0.5; MICa = ( 2*r*(1-rho) - fr*(1-2*rho) - 2*eps*rho ) ./ (r*(1 - rho) + fr*rho + eps*rho^2/(1-rho)); Mch = ( fr*rho + r.*fc*(1-rho) ) ./ (r*(1 - rho) + fr*rho + eps*rho^2/(1-rho)); R0 = eps * rho^2 / (1-rho); RR = r*(1 - rho) + fr.*rho; I = find(R0 > fraction * RR); if length(I) > 0 ii = I(1); else ii = length(r); end; subplot(1,3,2); hold on; title('{\bfB.} Channel cooperativity, m_{CH}', 'fontSize', titleFontSize); yl = 'm_{CH}'; plot(BT(1:ii), Mch(1:ii), lst{i}, 'color', cl, 'linewidth', lw); axis([0 Bmax 1 2]); xlabel(xl,'FontSize',labelFontSize); ylabel(yl,'FontSize',labelFontSize); set(gca,'FontSize',axisFontSize); legend(lstr); set(gca,'Xscale','log'); set(gca,'box','off'); set(gca,'xtick',[1 10 100 1000 10000]); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% subplot(1,3,3); hold on; title('{\bfC.} Current cooperativity, m_{ICa}', 'fontSize', titleFontSize); yl = 'm_{ICa}'; plot(BT(1:ii), MICa(1:ii), lst{i}, 'color', cl, 'linewidth', lw); axis([0 Bmax 1 2]); xlabel(xl,'FontSize',labelFontSize); ylabel(yl,'FontSize',labelFontSize); set(gca,'FontSize',axisFontSize); set(gca,'Xscale','log'); set(gca,'box','off'); set(gca,'xtick',[1 10 100 1000 10000]); drawnow; end; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% subplot(1,3,1); hold on; yl = 'r'; plot(BT(1:ii), r(1:ii), 'k-', 'linewidth', 2); title('{\bfA.} Release ratio, r=P(R|2)/P(R|1)', 'fontSize', titleFontSize); axis([0 10000 0 max(r)]); set(gca,'Xscale','log'); xlabel(xl,'FontSize',labelFontSize); ylabel(yl,'FontSize',labelFontSize); set(gca,'FontSize',axisFontSize); %legend(lstr); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% set(gca,'Xscale','log'); set(gca,'box','off'); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%