MATLAB: How to add a string to all member in matrix

matrixstring

Example: I have:

a = [1 2 3; 4 5 6; 7 8 9]

I want have:

b = [s1 s2 s3; s4 s5 s6; s7 s8 s9]

Best Answer

I have the same questions that James Tursa asked, but here is my best guess as to what you want:

b = cellfun(@(x)['s',num2str(x)],num2cell(a),'UniformOutput',false)

Related Solutions

MATLAB: I want to find the determinant for 5.5 matrix

>> syms s1 s2 s3 s4 s5 s6 s7 s8 s9 s10
>> M = [0 -s1 -s2 -s3 -s4; s1 0 -s5 -s6 -s4; s2 s5 0 -s8 -s9; s3 s6 s8 0 -s10; s4 s7 s9 s10 0];
>> det(M)
ans =
s1*s4^2*s8^2 - s1*s4*s7*s8^2 - s2*s4^2*s6*s8 + s3*s4^2*s5*s8 - s3^2*s4*s5*s9 - s2^2*s4*s6*s10 + s3^2*s5*s7*s9 + s2^2*s6*s7*s10 + s2*s3*s4*s5*s10 + s2*s3*s4*s6*s9 + s1*s2*s4*s8*s10 - s1*s3*s4*s8*s9 - s2*s3*s5*s7*s10 - s2*s3*s6*s7*s9 + s2*s4*s6*s7*s8 - s3*s4*s5*s7*s8 - s1*s2*s7*s8*s10 + s1*s3*s7*s8*s9
>> simplify(ans)
ans =
(s4 - s7)*(s3*s5 - s2*s6 + s1*s8)*(s2*s10 - s3*s9 + s4*s8)

MATLAB: Solving system of equations with parameters

Like sir Walter says I think you should be using ode solvers to solve the problem because it clearly is a system of odes:

tspan=[0 1];  % time span 
ic=[0;1;0;0;0;0;0;0;0;0;0;0]; % initial conditions
[t,x]=ode45(@myod,tspan,ic);  % function call
plot(t,x(:,1)) % likewise another 11 solutions can be plotted
function dSdt = myod(t,x)  % function definition
 S0=x(1);
 S1=x(2);
 S2=x(3);
 S3=x(4);
 S4=x(5);
 S5=x(6);
 S6=x(7);
 S7=x(8);
 S8=x(9);
 S9=x(10);
 S10=x(11);
 S11=x(12);
Ca_sr_conc  = 1.3e-3;
MgATP_conc  = 5e-3;  
MgADP_conc  = 36e-6; 
Pi_conc     = 1e-3;  
Ca=1e-3;  % change it to your value
Ca_cyt_conc = 140e-9; 
k_S0_S1   = 4e7;   
k_S1_S0   = 450;   
k_S1_S2   = 120;   
k_S2_S1   = 25;    
k_S2_S3   = 1e8;   
k_S3_S2   = 16;    
k_S3_S4   = 2e7;  
k_S4_S3   = 40;   
k_S4_S5   = 135;   
k_S5_S4   = 765;   
k_S5_S6   = 15;    
k_S6_S5   = 7.5e4;
k_S6_S7   = 1.5; k_S7_S6   = 2.0;
k_S7_S8   = 350; 
k_S8_S7   = 1.2e5;
k_S8_S9   = 160;   
k_S9_S8   = 250;   
k_S9_S10  = 300;
k_S10_S9  = 9e4;   
k_S10_S11 = 60;    
k_S11_S10 = 60;    
k_S11_S0  = 250;   
k_S0_S11  = 2.7e5; 
dSdt  = [ ((k_S11_S0 * S11) + (k_S1_S0 * S1)) - ((Ca_cyt_conc* k_S0_S1 + Pi_conc * k_S0_S11) * S0);
((Ca_cyt_conc* k_S0_S1 * S0) + (k_S2_S1 * S2)) - ((k_S1_S0 + k_S1_S2) * S1);
((k_S1_S2 * S1) + (k_S3_S2 * S3)) - ((k_S2_S1 + Ca* k_S2_S3) * S2);
((Ca_cyt_conc* k_S2_S3 * S2) + (k_S4_S3 * S4)) - ((k_S3_S2 + MgATP_conc * k_S3_S4) * S3);
((MgATP_conc * k_S3_S4 * S3) + (k_S5_S4 * S5)) - ((k_S4_S3 + k_S4_S5) * S4);
((k_S4_S5 * S4) + (k_S6_S5 * MgADP_conc * S6)) - ((k_S5_S4 + k_S5_S6) * S5);
((k_S5_S6 * S5) + (k_S7_S6 * S7)) - ((k_S6_S5 * MgADP_conc + k_S6_S7) * S6);
((k_S6_S7 * S6) + (Ca_sr_conc * k_S8_S7 * S8)) - ((k_S7_S6 * MgADP_conc + k_S7_S8) * S7);
((k_S7_S8 * S7) + (k_S9_S8 * S9)) - ((Ca_sr_conc * k_S8_S7 + k_S8_S9) * S8);
((k_S8_S9 * S9) + (Ca_sr_conc * k_S10_S9 * S10)) - ((k_S9_S8 + k_S9_S10) * S9);
((k_S9_S10 * S9) + (k_S11_S10 * S11)) - ((k_S10_S11 + Ca_sr_conc * k_S10_S9) * S10);
((k_S10_S11 * S10) + (Pi_conc * k_S0_S11 * S0)) - ((k_S11_S0 + k_S11_S10) * S11)];
end

Best Answer

Related Solutions

MATLAB: I want to find the determinant for 5.5 matrix

MATLAB: Solving system of equations with parameters

Related Question