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Copy pathemutracer.m
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executable file
·634 lines (582 loc) · 19.8 KB
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function [ emod,emus ] = emutracer( mfamodel )
%UNTITLED2 Summary of this function goes here
% Detailed explanation goes here
%emumodel = mfamodel;
data = mfamodel.data;
nxp = length(data);
%identifying list of metabolites involved in EMU balances
M0 = false(length([mfamodel.mapnode.met]),1);
for i = 1:nxp
met = [data(i).msdata.met]'; % collecting list of metabolites with fragments to be fitted
met = unique(met); % some metabolites may have multiple fragments. this step eliminates duplicates
M0 = or(M0,ismember([mfamodel.mapnode.met]',met));
end
mmm = full(mfamodel.mmm);
mmm = mmm + eye(size(mmm)); %matrix indicating whether metabolite j is produced from metabolite i directly in any reaction
M = backtrack(mmm,M0); %identify list of metabolites to be traced
mfamodel.mapnode = mfamodel.mapnode(M);
for i = 1:length(mfamodel.mapnode)
mfamodel.mapnode(i).ammC = [mfamodel.mapnode(i).ammC(M)]';
mfamodel.mapnode(i).ammC{i} = eye(size(mfamodel.mapnode(i).ammC{i}));
end
natms = sum([mfamodel.mapnode.nC]);
M0 = false(natms,1);
for nx = 1:nxp
ndata = length([data(nx).msdata]);
for i = 1:ndata
met = data(nx).msdata(i).met;
mpos = find(ismember([mfamodel.mapnode.met]',met));
ati = sum([mfamodel.mapnode(1:mpos-1).nC])+1;
atf = sum([mfamodel.mapnode(1:mpos).nC]);
m0 = M0(ati:atf);
[~,atms] = emu2info(data(nx).msdata(i).emu);
m1 = false(size(m0));
m1(atms) = true;
M0(ati:atf) = or(m0,m1);
end
end
M = backtrack(cell2mat([mfamodel.mapnode.ammC]'),M0); %identify atoms to be traced
mcut = false(size(mfamodel.mapnode));
start = 0;
for i = 1:length(mcut)
mcx = M(start+1:(start+mfamodel.mapnode(i).nC));
mfamodel.mapnode(i).emu1 = mfamodel.mapnode(i).emu1(mcx);
mcut(i) = any(mcx);
start = start + mfamodel.mapnode(i).nC;
end
mfamodel.mapnode = mfamodel.mapnode(mcut);
%for i = 1:length(mfamodel.mapnode)
% mfamodel.mapnode(i).ammC = mfamodel.mapnode(i).ammC(mcut);
%end
% identify EMUs involved in EMU balances
% Enumerating all possible EMUs given involved atoms
nemu = zeros(size(mfamodel.mapnode));
nemu = nemu(:);
for i = 1:length(mfamodel.mapnode)
mfamodel.mapnode(i).emu1 = makeallmu(mfamodel.mapnode(i).emu1);
end
emus = [mfamodel.mapnode.emu1];
emuids = {emus.id};
% correction for symmetry:
nosym = true(length(emuids),1);
mets = [mfamodel.mapnode.met]';
for i = 1:length(emuids)
m = emu2info(emuids{i});
if isempty(mfamodel.mapnode(ismember(mets,m)).symm)
nosym(i) = false;
end
end
Semu = emuids(nosym);
acfor = false(size(Semu));
symgrp = cell(size(Semu));
for i = 1:length(Semu)
[m,atms] = emu2info(Semu{i});
p = ismember(mets,m);
symm = str2num(mfamodel.mapnode(p).symm);
satm = sort(symm(atms));
symgrp{i} = info2emu(m,satm);
if any(ismember(Semu(1:i),symgrp(i)))
acfor(i) = true;
end
end
Semu = Semu(~acfor);
symgrp = symgrp(~acfor);
for c1 = 1:length(mfamodel.mapnode)
for c2 = length(mfamodel.mapnode(c1).emu1):-1:1
for c3 = 1:length(mfamodel.mapnode(c1).emu1(c2).esrc)
for c4 = 1:length(mfamodel.mapnode(c1).emu1(c2).esrc(c3).atsrc)
p1 = ismember(symgrp,mfamodel.mapnode(c1).emu1(c2).esrc(c3).atsrc(c4));
if any(p1)
mfamodel.mapnode(c1).emu1(c2).esrc(c3).atsrc(c4) = Semu(p1);
end
end
end
p1 = ismember(symgrp,mfamodel.mapnode(c1).emu1(c2).id);
if any(p1)
ex = [mfamodel.mapnode(c1).emu1];
id = {ex.id};
p2 = ismember(id,Semu(p1));
mfamodel.mapnode(c1).emu1(p2).esrc = [mfamodel.mapnode(c1).emu1(p2).esrc,mfamodel.mapnode(c1).emu1(c2).esrc];
for el = 1:length(mfamodel.mapnode(c1).emu1(p2).esrc)
mfamodel.mapnode(c1).emu1(p2).esrc(el).dAdv = (mfamodel.mapnode(c1).emu1(p2).esrc(el).dAdv)/2;
end
mfamodel.mapnode(c1).emu1(c2) = [];
end
end
nemu(c1) = length(mfamodel.mapnode(c1).emu1);
end
emus = [mfamodel.mapnode.emu1];
emuids = {emus.id};
Se = zeros(sum(nemu));
for i = 1:length(emus)
if emus(i).bal
esrc = [emus(i).esrc];
esc = [esrc.atsrc];
Se(i,:) = double(ismember(emuids,esc));
end
end
Se = sparse(Se) + speye(sum(nemu));
M0 = false(length(emuids),1);
for i = 1:nxp
mes = unique([data(i).msdata.emu]);
M0 = or(M0,ismember(emuids',mes));
end
M = backtrack(Se,M0); %identifying set of EMUs to be traced
emuids = emuids(M);
emus = emus(M);
Se = Se(M,:);
Se = Se(:,M);
% constructing A and B matrices
esize = [emus.size]';
[~,q] = sort(esize);
sz = sort(unique(esize));
nsize = length(unique(esize));
emod.mdvsim.X = cell(nsize,nxp);
emod.mdvsim.Y = cell(nsize,nxp);
emod.mdvsim.A = cell(nsize,1);
emod.mdvsim.B = cell(nsize,1);
emod.mdvsim.dAdv = cell(nsize,1);
emod.mdvsim.dBdv = cell(nsize,1);
emod.mdvsim.dAdu = cell(nsize,1);
emod.mdvsim.dBdu = cell(nsize,1);
emod.mdvsim.dcxdc = cell(nsize,1);
emod.mdvsim.cY = cell(nsize,1);
emod.mdvsim.sA = cell(nsize,1);
emod.mdvsim.sB = cell(nsize,1);
emod.mdvsim.sX = cell(nsize,nxp);
emod.mdvsim.sY = cell(nsize,nxp);
emod.mdvsim.Xid = cell(nsize,1);
nemus = zeros(nsize,1);
nip = nemus;
emus = emus(q); %size-sorted emus
esize = [emus.size]';
%name-sorting of EMUs for easy debugging
for i = 1:nsize
esz = sz(i);
coll = ismember(esize,esz);
emx = emus(coll);
idz = {emx.id}';
[~,q] = sort(idz);
emx = emx(q);
emus(coll) = emx;
end
balemu = emus([emus.bal]);
esize = [emus.size]';
balsize = [balemu.size]';
%allids = cell(0,1);
N = mfamodel.varmgmt.N;
nu = length(N(1,:));
allmets = [mfamodel.node.met];
if ~mfamodel.options.ss
emod.mdvsim.X0 = emod.mdvsim.X;
emod.mdvsim.Y0 = emod.mdvsim.Y;
end
call = false(1,length(allmets));
for i = 1:nsize
e1 = emus(ismember(esize,sz(i)));
bals = [e1.bal];
ebal = e1(bals);
ey = e1(~bals);
nx = length(ebal);
nemus(i) = nx;
ny = length(ey);
nv = length(ebal(1).esrc(1).dAdv);
%for xpt = 1:nxp
% emod.mdvsim.X{i,xpt} = zeros(nx,sz(i)+1);
%end
%emod.mdvsim.A0 = sparse(zeros(nx,nx));
s = 0;
dadv = cell(nx,nx);
%dadv = dadu;
%dadu(1:nx,1:nx) = {sparse(zeros(1,nv)*N)};
dadv(1:nx,1:nx) = {sparse(zeros(1,nv))};
dbdvf = cell(nx,ny);
dbdvf(:,:) = {sparse(zeros(1,nv))};
%dbduf = cell(nx,ny);
%dbduf(:,:) = {sparse(zeros(1,nv)*N)};
%dbduc = cell(nx,0);
dbdvc = cell(nx,0);
dcdc = zeros(nx,length(allmets));
idx = {ebal.id}';
idy = {ey.id}';
idm = {e1.id}';
emod.mdvsim.Xid{i} = idx;
c = zeros(0,length(balsize)-sum(ismember(balsize,[sz(i):max(esize)])));
%dcdu = cell(0,1);
dcdv = cell(0,1);
jinds = zeros(0,1);
defmdv = 1;
for crb = 1:sz(i)
defmdv = conv(defmdv,[98.9184,1.0816]/100);
end
for j = 1:nx
met = ebal(j).met;
dcdc(j,ismember(allmets,met)) = 1;
for k = 1:length(ebal(j).esrc)
if ebal(j).esrc(k).isconv
cy = cell(1,i-1);
for k1 = 1:i-1
cy{1,k1} = zeros(1,length(emod.mdvsim.Xid{k1}));
end
for k1 = 1:length(ebal(j).esrc(k).atsrc)
for k2 = 1:i-1
p = ismember(emod.mdvsim.Xid{k2},ebal(j).esrc(k).atsrc(k1));
if any(p)
cy{1,k2} = cy{1,k2} + double(p');
end
end
end
c = [c;cell2mat(cy)];
%dcdu = [dcdu;{sparse(ebal(j).esrc(k).dAdv*N)}];
dcdv = [dcdv;{sparse(ebal(j).esrc(k).dAdv)}];
jinds = [jinds;j];
elseif ismember(ebal(j).esrc(k).atsrc,emod.mdvsim.Xid{i})
p = ismember(emod.mdvsim.Xid{i},ebal(j).esrc(k).atsrc);
%dadu{j,p} = dadu{j,p} + sparse(ebal(j).esrc(k).dAdv*N);
dadv{j,p} = dadv{j,p} + sparse(ebal(j).esrc(k).dAdv);
else
p = ismember(idy,ebal(j).esrc(k).atsrc);
dbdvf{j,p} = dbdvf{j,p} + sparse(ebal(j).esrc(k).dAdv);
%dbduf{j,p} = dbduf{j,p} + sparse(ebal(j).esrc(k).dAdv*N);
end
end
end
%Handling fixed term inputs
for xpt = 1:nxp
emod.mdvsim.Y{i,xpt} = srcmdv(ey,data(xpt));
emod.mdvsim.sY{i,xpt} = sparse(zeros(length(ey),nu*(sz(i)+1)));
emod.mdvsim.X{i,xpt} = sparse(zeros(nx,sz(i)+1));
emod.mdvsim.sX{i,xpt} = sparse(zeros(nx,nu*(sz(i)+1)));
if ~mfamodel.options.ss
emod.mdvsim.X0{i,xpt} = zeros(nx,sz(i)+1);
emod.mdvsim.X0{i,xpt}(1:end,:) = repmat(defmdv,nx,1);
emod.mdvsim.Y0{i,xpt} = cell2mat(emod.mdvsim.Y{i,xpt});
end
end
% handling EMU convolutions
nconv = size(c,1);
if nconv > 0
C1 = c;
for nc = nconv:-1:1
p = ismember(C1,C1(nc,:),'rows');
if sum(p)>1
C1(nc,:) = [];
end
end
nconv = length(C1(:,1));
dbdvc = cell(nx,nconv);
dbdvc(:,:) = {sparse(zeros(1,nv))};
%dbduc = cell(nx,nconv);
%dbduc(:,:) = {sparse(zeros(1,nv)*N)};
for nc = 1:length(jinds)
p = ismember(C1,c(nc,:),'rows');
%dbduc{jinds(nc),p} = dbduc{jinds(nc),p} + dcdu{nc};
dbdvc{jinds(nc),p} = dbdvc{jinds(nc),p} + dcdv{nc};
end
cY = [zeros(ny,length(C1(1,:)));C1];
Yconv = cell(nconv,1);
Yconv(:,:) = {1};
for xpt = 1:nxp
emod.mdvsim.Y{i,xpt} = [emod.mdvsim.Y{i,xpt};Yconv];
if ~mfamodel.options.ss
Yc = Yconv;
Yc = repmat(defmdv,length(Yc),1);
emod.mdvsim.Y0{i,xpt} = [emod.mdvsim.Y0{i,xpt};Yc];
end
emod.mdvsim.sY{i,xpt} = [emod.mdvsim.sY{i,xpt};zeros(nconv,nu*(sz(i)+1))];
end
emod.mdvsim.cY{i} = cY;
%dbdu = [dbduf,dbduc];
dbdv = [dbdvf,dbdvc];
else
%dbdu = dbduf;
dbdv = dbdvf;
end
nyt = ny+nconv;
for j = 1:nx
%sa = zeros(1,nv)*N;
sa = zeros(1,nv);
for j1 = 1:nx
%sa = sa+dadu{j,j1};
sa = sa+dadv{j,j1};
end
for j1 = 1:nyt
%sa = sa+dbdu{j,j1};
sa = sa+dbdv{j,j1};
end
dadv{j,j} = -sa;
end
nip(i) = nyt;
emod.mdvsim.dAdv{i} = cell2mat(dadv(:));
emod.mdvsim.dAdu{i} = sparse(emod.mdvsim.dAdv{i}*N);
emod.mdvsim.A{i} = sparse(nx,nx);
emod.mdvsim.dBdv{i} = cell2mat(dbdv(:));
emod.mdvsim.dBdu{i} = sparse(emod.mdvsim.dBdv{i}*N);
emod.mdvsim.B{i} = sparse(nx,nyt);
dadu = emod.mdvsim.dAdu{i};
dadu = reshape(dadu,nx,nx*nu);
dadu = mat2cell(dadu,nx,nx*ones(1,nu));
dadu = dadu';
emod.mdvsim.sA{i} = cell2mat(dadu);
dbdu = emod.mdvsim.dBdu{i};
dbdu = reshape(dbdu,nx,nyt*nu);
dbdu = mat2cell(dbdu,nx,nyt*ones(1,nu));
dbdu = dbdu';
emod.mdvsim.sB{i} = cell2mat(dbdu);
%pool size associations
emod.mdvsim.dcxdc{i} = sparse(dcdc);
call = or(call,any(dcdc,1));
end
for i = 1:nsize
emod.mdvsim.dcxdc{i} = emod.mdvsim.dcxdc{i}(:,call);
end
emod.mdvsim.nemu = nemus;
emod.mdvsim.nip = nip;
for i = 1:nxp
emod.mdvsim.Y{1,i} = cell2mat(emod.mdvsim.Y{1,i});
end
%storing meta data for organized output file
emod.vardata = mfamodel.varmgmt;
emod.vardata.mets = allmets(:);
emod.vardata.cfree = call(:);
emod.vardata.flxdata = mfamodel.flux;
%emod.vardata.exptdata = mfamodel.data;
emod.vardata.vb = [1e-7*ones(size(emod.vardata.virr)),1e8*ones(size(emod.vardata.virr))];
emod.vardata.nu = length(emod.vardata.N(1,:));
if ~mfamodel.options.ss
cx = any(cell2mat(emod.mdvsim.dcxdc))';
emod.vardata.poolid = cx;
emod.vardata.npool = sum(cx);
end
emod.options = mfamodel.options;
%indexing data for collection after forward simulation
[datx(1,1:nxp)] = deal(struct('exptname','e1','flxval',{1},'flxind',1,'msid','1','msval',{[1]},'msind',{[1]},'mswt',{[1]},'mscorr',{[1]},'noNaN',{[1]}));
emod.data = datx;
%{
emod.data.flxval = cell(length(mfamodel.data.flux),1);
emod.data.flxind = zeros(length(mfamodel.data.flux),1);
emod.data.flxwt = cell(length(mfamodel.data.flux),1);
emod.data.msval = cell(length(mfamodel.data.msdata),1);
emod.data.msind = cell(length(mfamodel.data.msdata),1);
emod.data.mswt = cell(length(mfamodel.data.msdata),1);
emod.data.mscorr = cell(length(mfamodel.data.msdata),1);
%}
nms = zeros(nxp,1);
nh = nxp;
if ~mfamodel.options.ss
times = [];
end
for i = 1:nxp
nms(i) = length([mfamodel.data(i).msdata.mdv]);
nh(i) = length(mfamodel.data(i).msdata);
emod.data(i).nh = nh(i);
if ~mfamodel.options.ss
times = [times,mfamodel.data(i).msdata.time];
times = unique(times);
emod.vardata.t = times;
end
end
%emod.Eh = zeros(nms,nh);
%emod.data.exptname = mfamodel.data.name;
% indexing flux measurements for collection
for xpt = 1:nxp
emod.data(xpt).msval = cell(length(mfamodel.data(xpt).msdata),1);
emod.data(xpt).msind = cell(length(mfamodel.data(xpt).msdata),1);
emod.data(xpt).mswt = cell(length(mfamodel.data(xpt).msdata),1);
emod.data(xpt).mscorr = cell(length(mfamodel.data(xpt).msdata),1);
emod.data(xpt).msid = cell(length(mfamodel.data(xpt).msdata),1);
emod.data(xpt).noNaN = cell(length(mfamodel.data(xpt).msdata),1);
emod.data(xpt).flxval = zeros(length(data(xpt).flux),1);
emod.data(xpt).flxwt = zeros(length(data(xpt).flux),1);
emod.data(xpt).flxind = zeros(length(data(xpt).flux),1);
%emod.data(xpt).flxval = [data(xpt).flux.val]';
%emod.data(xpt).flxwt = [data(xpt).flux.std]';
flxs = [emod.vardata.flxdata.name]';
for i = 1:length(data(xpt).flux)
emod.data(xpt).flxval(i) = data(xpt).flux(i).val;
emod.data(xpt).flxwt(i) = data(xpt).flux(i).std;
emod.data(xpt).flxind(i,1) = find(ismember(flxs,data(xpt).flux(i).name));
end
emod.data(xpt).exptname = data(xpt).name;
end
%ms data
%lctr = 0;
for xpt = 1:nxp
for i = 1:length(mfamodel.data(xpt).msdata)
emod.data(xpt).msid{i,1} = data(xpt).msdata(i).name{1};
emod.data(xpt).msval{i,1} = mfamodel.data(xpt).msdata(i).mdv/nansum(mfamodel.data(xpt).msdata(i).mdv);
emod.data(xpt).noNaN{i,1} = ~isnan(emod.data(xpt).msval{i,1});
emod.data(xpt).mswt{i,1} = mfamodel.data(xpt).msdata(i).std;
emod.data(xpt).mscorr{i,1} = mfamodel.data(xpt).msdata(i).mdvreg;
len = length(emod.data(xpt).msval{i});
[~,atms] = emu2info(mfamodel.data(xpt).msdata(i).emu{1});
natms = length(atms);
iind = find(ismember(sz,natms));
if ~mfamodel.options.ss
tind = find(ismember(times,mfamodel.data(xpt).msdata(i).time));
end
emupos = find(ismember(emod.mdvsim.Xid{iind},mfamodel.data(xpt).msdata(i).emu));
if mfamodel.options.ss
emod.data(xpt).msind{i,1} = [xpt,iind,emupos,len];
else
emod.data(xpt).msind{i,1} = [tind,xpt,iind,emupos,len];
end
%emod.Eh(lctr+1:lctr+len,i) = 1;
%lctr = lctr+len;
end
end
end
% helper function for backtracking
function M = backtrack(m,M0)
done = false;
M = M0;
while ~done
M1 = any(m(M,:),1);
if isequal(M1,M)
M = or(M,M1);
done = true;
else
M = M1;
end
end
end
%Helper function to extraction name and atom information from emu name
function [name,atom_ids] = emu2info(emu_id)
emu = char(emu_id);
pos = strfind(emu,'-');
name = emu(1:(pos(end)-1));
atoms = emu((pos(end)+1):end);
atoms = regexp(atoms,',','split');
atoms = strtrim(atoms);
atom_i = char(atoms);
atom_ids = str2num(atom_i);
if size(atom_ids,1) > 1
atom_ids = atom_ids';
end
end
%Helper function to generate a complete list of EMUs given a set of atoms
function emu = makeallmu(emu0)
eb = struct('id',[],'met',[],'nC',[],'size',[],'proxy',[],'dAdv',[],'dBdv',[],'C',[],'esrc',[],'bal',true,'src',false);
l = length(emu0);
atms = zeros(1,l);
for i = 1:l
[~,atms(i)] = emu2info(emu0(i).id);
end
Ebx = dec2bin(1:power(2,l));
Ebx = Ebx(1:end-1,2:end);
Ebx = fliplr(Ebx);
Ebin = '';
Ebin(1:size(Ebx,1),1:(2*size(Ebx,2)-1)) = ',';
for j = 1:size(Ebx,2)
Ebin(:,2*j-1) = Ebx(:,j);
end
Ebin = str2num(Ebin);
nemu = size(Ebin,1);
[emu(1:nemu)] = deal(eb);
for i = 1:nemu
emu(i).bal = emu0(1).bal;
emu(i).src = emu0(1).src;
elen = length(find(Ebin(i,:)));
if elen < 2
% size 1 EMU
emu(i).id = emu0(logical(Ebin(i,:))).id;
emu(i).met = emu0(logical(Ebin(i,:))).met;
emu(i).nC = emu0(logical(Ebin(i,:))).nC;
emu(i).size = elen;
emu(i).esrc = emu0(logical(Ebin(i,:))).esrc;
else
eatms = atms(logical(Ebin(i,:)));
px = ismember(atms,eatms(1));
id = [emu0(px).id,','];
for j = 2:length(eatms)
id = [id,num2str(eatms(j)),','];
end
id = id(1:end-1);
emu(i).id = id;
emu(i).met = emu0(logical(Ebin(i,:))).met;
emu(i).nC = emu0(logical(Ebin(i,:))).nC;
emu(i).size = elen;
emu(i).esrc = emu0(px).esrc;
nv = length(emu(i).esrc);
for j = 1:nv
ea = cell(length(eatms),1);
mmm = zeros(length(eatms),length(emu(i).esrc(j).rmmm));
for k = 1:length(eatms)
ea(k) = emu0(ismember(atms,eatms(k))).esrc(j).atsrc;
mmm(k,:) = emu0(ismember(atms,eatms(k))).esrc(j).rmmm;
end
ey = cell(sum(any(mmm,1)),1);
mmm = mmm(:,any(mmm,1));
for ctr = 1:length(ey)
k = 1;
ex = ea(logical(mmm(:,ctr)));
while k<length(ex)
m1 = emu2info(ex{k});
[m2,a2] = emu2info(ex{k+1});
if isequal(m1,m2)
%a = [a1,a2];
ex{k} = [ex{k},',',num2str(a2)];
ex(k+1) = [];
else
k = k+1;
end
end
[m1,a1] = emu2info(ex{1});
a1 = sort(a1);
ey{ctr} = [m1,'-'];
for z = 1:length(a1)
ey{ctr} = [ey{ctr},num2str(a1(z)),','];
end
ey{ctr} = ey{ctr}(1:end-1);
end
emu(i).esrc(j).atsrc = ey';
if length(ey)>1
emu(i).esrc(j).isconv = true;
end
end
end
end
end
%helper function to create EMU from metabolite and atom information
function emuid = info2emu(met,atms)
emuid = [met,'-'];
atms = sort(atms);
for i = 1:length(atms)
emuid = [emuid,num2str(atms(i)),','];
end
emuid = emuid(1:end-1);
end
%Helper function to compute MDV for source EMUs
function Y = srcmdv(srcmu,data)
tracer = data.tracer;
Y = cell(length(srcmu),1);
c = [98.9184,1.0816]/100;
trcmets = [tracer.met]';
for i = 1:length(srcmu)
met = {srcmu(i).met};
p = ismember(trcmets,met);
if ~any(p)
[~,atms] = emu2info(srcmu(i).id);
y0 = 1;
for j = 1:length(atms)
y0 = conv(y0,c);
end
Y{i} = y0;
else
trc = tracer(p).trc;
f = [trc.frac];
y0 = cell(length(f),1);
y0(:) = {1};
[~,atms] = emu2info(srcmu(i).id);
for j = 1:length(y0)
for k = 1:length(atms)
y0{j} = conv(y0{j},trc(j).atmdv(atms(k),:));
end
end
y0 = cell2mat(y0);
f = f(:);
y0 = f'*y0;
Y{i} = y0;
end
end
end