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rand_walk.m
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rand_walk.m
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%function [peak peak_width good_cell pref_dir baseline pref_dir_peak mdl] = rand_walk(varargin)
function [baseline curve] = rand_walk(varargin)
% RAND_WALK( DATA, CHANNEL, UNIT ) - runs RW analytics
% DATA - a BDF structure
% CHANNEL - the channel of the unit to run analytics on
% UNIT - the sort code of the unit to run analytics on
%
% RAND_WALK( DATA )
% Does as above but for each unit in the BDF structure
% $Id$
addpath ./lib
addpath ./spike
addpath ./bdf
if nargin == 1
run_all_units(varargin{1}, 1);
return;
elseif nargin == 3
data = varargin{1};
channel = varargin{2};
unit = varargin{3};
else
error('invalid number of arguments');
end
s = get_unit(data, channel, unit);
b = train2bins(s, data.vel(1,1):.001:data.vel(end,1)); % 1ms bins
end_mi = floor(s(end));
b = train2bins(s, .001); % 1ms bins
b = b(1000:end); % drop points before begin mi
%v = [interp1(data.pos(1:end-1,1),dx,1:.001:end_mi)'
%interp1(data.pos(1:end-1,1),dy,1:.001:end_mi)'];
v = data.vel(:,2:3);
if (length(b) > length(v))
b = b(1:size(v));
else
v = v(1:length(b),:);
end
d = tmi(b, v, -1000:10:1000);
t = -1000:10:1000;
t = t.*0.001;
figure;
%subplot(2,2,1),plot(t,d_v,'k-',t,d_f,'r-');
plot(t,d_v,'k-',t,d_f,'r-');
xlabel('Delay (s)');
ylabel('Mutual Information (bits)');
legend('Velocity','Force');
rmpath ./lib
rmpath ./spike
return
% MI peak analysis
[peak peak_width good_cell] = peak_analysis(d);
% recalculate spike train adjusting for offset
b = train2bins(s - peak, .001); % 1ms bins
b = b(1000:end); % drop points before begin mi
%v = [interp1(data.pos(1:end-1,1),dx,1:.001:end_mi)' interp1(data.pos(1:end-1,1),dy,1:.001:end_mi)'];
v = data.vel(:,2:3);
baseline = 1000 * sum(b) / length(b);
if (length(b) > length(v))
b = b(1:size(v));
else
v = v(1:length(b),:);
end
% spike scatter plot
subplot(2,2,2),plot(dx(b==1), dy(b==1), 'k.');
%subplot(2,2,2),plot(data.vel(b==1,2), data.vel(b==1,3), 'k.')
xlabel('X velocity (cm/s)');
ylabel('Y velocity (cm/s)');
cors = zeros(256,3);
theta = 0:pi/128:pi*255/128;
for i = 1:256
mdl = bayes_regression(theta(i));
conf = confint(mdl);
cors(i,:) = [mdl.m conf(1,2) conf(2,2)];
end
tuning = cors(:,1);
subplot(2,2,3),plot(theta, tuning, 'kx');
hold on;
subplot(2,2,3),plot(theta, cors(:,2), 'k--');
subplot(2,2,3),plot(theta, cors(:,3), 'k--');
g = fittype('a*cos(x-b)+c', 'indep', 'x');
f = fitoptions('method', 'NonlinearLeastSquares', ...
'StartPoint',[1 pi 0], ...
'Lower', [0 0 -1000], ...
'Upper', [1000 2*pi 1000]);
curve = fit(theta', tuning, g, f);
subplot(2,2,3),plot(theta, curve(theta), 'r-');
subplot(2,2,3),plot_scale = axis;
axis([0 2*pi plot_scale(3) plot_scale(4)]);
ylabel('speed sensitivity (sp/cm)');
xlabel('direction');
set(gca,'XTick',0:pi/2:2*pi);
set(gca,'XTickLabel',{'0','pi/2','pi','3pi/2','2pi'})
% get bayes plot for best direction
peak_th = find(cors(:,1) == max(cors(:,1)), 1);
[mdl, X, N, N2, P] = bayes_regression(theta(peak_th));
subplot(2,2,4),plot(X, N, 'b-', X, P/20, 'ko', X, N2, 'r-', X, mdl(X)/20, 'k--');
xlabel('speed (cm/s)');
ylabel('Probability');
%pref_dir = theta(peak_th);
%pref_dir_peak = cor;
%suptitle(sprintf('%d-%d',channel,unit));
rmpath ./lib
rmpath ./spike
rmpath ./bdf
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% sub functions follow
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [peak, width, good_peak] = peak_analysis(d)
sd = smooth(d, 21)';
dd = d - sd;
if var(sd) > var(dd)*5
good_peak = 1;
peak_start = find(sd > mean(sd), 1, 'first');
peak_end = find(sd > mean(sd), 1, 'last');
width = peak_end - peak_start;
else
good_peak = 0;
width = 0;
end
peak = t(sd==max(sd));
end
function [mdl, X, N, N2, P] = bayes_regression(th)
v1 = cos(-th)*v(:,1) - sin(-th)*v(:,2);
[N,X] = hist(v1, -30:2:30);
[N2,X] = hist(v1(b==1),X);
P = N2./N;
N = N./sum(N);
N2 = N2./sum(N2);
P = P(2:length(P)-1);
N = N(2:length(N)-1);
N2 = N2(2:length(N2)-1);
X = X(2:length(X)-1);
myline = fittype('m*x+b');
f = fitoptions('method', 'NonlinearLeastSquares', 'StartPoint', [1 0] );
P = P ./ 0.001;
mdl = fit(X(15:28)',P(15:28)', myline, f);
end % function bayes_regression(th)
function run_all_units(data, verbose)
limit = -1;
if verbose
h = waitbar(0, 'Starting');
end
list = unit_list(data);
% M will hold data about the cell that should go in the table
M = zeros(size(list,1), 8);
for j = 1:size(list,1);
%[pk wd gs pd bl pd_pk] = rand_walk(data, list(j,1), list(j,2));
rand_walk_cl(data, list(j,1), list(j,2));
% write figure to ps
set(gcf, 'PaperPosition', [1.25 2.5 6 6]);
print('-r600', '-dpsc2', sprintf('tmp/fig%d', j));
close(gcf);
% add important data to M
%M(j,:) = [list(j,1) list(j,2) pk wd gs pd bl pd_pk];
% status bar
if verbose
str = sprintf('Unit %d of %d', j, size(list,1));
waitbar(j / size(list,1), h, str);
end
% limit (set limit above to -1 for unlimited)
limit = limit - 1;
if limit == 0
break;
end
end
% write M to file
%csvwrite('tmp/summary.txt', M);
end % function run_all_units(data)
end % global close