How to reverse scrambled DNA?

Question

M.A.Fathy 2018-1-29

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/379646-how-to-reverse-scrambled-dna

回答： Asha D. 2019-7-7

I have this function for scrambling DNA array in Matlab:

disp(x); disp(y);
figure,plot(x,y);
%%sorting
[lx,fx]=sort(x);
[ly,fy]=sort(y);
S=fx;
T=(fy)';
%%matrix generated for scrambling
[Tgrid, Sgrid] = meshgrid( T, S );
W = arrayfun( @(S,T) [S T], Sgrid, Tgrid, 'UniformOutput', false );
%%scrambled matrix
D=cellfun(@(x) C{x(1),x(2)},W,'un',0);
disp(D);

I can't figure out how I can reverse this scrambled function to get the decryption code. Would you please help me up?

Edit//

I am working on a gray scale image encryption(256*256), converted the values of this image into dna array(265*265), every pixel have 4 characters for an example ACGT TTCG AAGC ....etc. After that i scrambled this dna array by using two generated random chaotic sequences x,y which the length of each other is (1*256).

This is the code from beginning to make the above part be more clear, hope you can help me to get the inverse of scrambled function:

clc
clear all
close all
tic;
A=imread('C:\Users\Desktop\lena.jpg');
disp(A);
imshow(A);
for i=1:1:256
    for j=1:1:256
        B{i,j,1} = dec2bin(A(i,j),8); %%conversion of pixel values to 8 bit binary values from original image
    end
end
 disp(B);
   codebook1 = containers.Map({'00','11','10','01'},{'G','C','T','A'}); %// Lookup-map values to key
   %%DNA maping of binary values of original image
   outputCell = cellfun(@(x) values(codebook1, {x(1:2),x(3:4),x(5:6),x(7:8)}),B, 'uni', 0);
   C = cellfun(@cell2mat, outputCell, 'uni', 0); 
   disp(C);
   %%Chaotic sequence generation
   %the values of a, b, c, d, k here
   a = 36;
   b = 3;
   c = 28;
   d = 16;
   k = 0.2;
   %vector v0, which is a 4x1 vector of initial conditions
   v0 = [0.3 -0.4 1.2 1];
   fun = @(t,v) chenAssistentFun(t,v,a,b,c,d,k);
   [t, v] = ode45(fun, [0 1.54], v0);
   x = v(:,1);
   x(257)=[];
   y = v(:,2);