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Fig7_8.m
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Fig7_8.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% 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');
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%