epithelial_cells_simulation.m

% 3D breast tissue with epithelial cells.

num_cells = 100;
cell_radius = 10;
[x, y, z] = meshgrid(-50:2:50, -50:2:50, -50:2:50);
breast_tissue = zeros(size(x));
cell_positions = randi(size(x, 1), num_cells, 3);
for i = 1:num_cells
x_pos = cell_positions(i, 1);
y_pos = cell_positions(i, 2);
z_pos = cell_positions(i, 3);
cell_mask = sqrt((x - x_pos).^2 + (y - y_pos).^2 + (z - z_pos).^2) <= cell_radius;
breast_tissue = breast_tissue + cell_mask;
end
figure;
isosurface(x, y, z, breast_tissue, 0.5);
xlabel('X (μm)');
ylabel('Y (μm)');
zlabel('Z (μm)');
title('3D Breast Epithelial Cell Simulation');
view(3);
lighting gouraud;
camlight('headlight');
axis([-50 50 -50 50 -50 50]);
alpha(0.5);
colormap('hot');
colorbar;
axis vis3d;
box on;
grid on;
rotate3d on;

% Temperature changes in breast epithelial cells over time due to ultrasound radiation.

num_cells = 100;
cell_radius = 10; % in micrometers
ultrasound_intensity = 1e4; % in W/m^2
attenuation_coefficient = 0.2; % in dB/cm/MHz
simulation_time = 1;
space_size = 200;
x = rand(num_cells, 1) * space_size - space_size / 2;
y = rand(num_cells, 1) * space_size - space_size / 2;
z = rand(num_cells, 1) * space_size - space_size / 2;
cell_positions = [x, y, z];
time = 0:time_step:simulation_time;
cell_temperature = zeros(num_cells, length(time));
for t = 1:length(time)
for cell = 1:num_cells
ultrasound_intensity_at_cell = ultrasound_intensity * exp(-attenuation_coefficient * norm(cell_positions(cell, :)));
temperature_change = ultrasound_intensity_at_cell / (1.5 * cell_radius) * sin(2 * pi * ultrasound_frequency * time(t));
cell_temperature(cell, t) = temperature_change;
end
end
figure;
for t = 1:length(time)
scatter3(cell_positions(:, 1), cell_positions(:, 2), cell_positions(:, 3), 20, cell_temperature(:, t), 'filled');
colorbar;
title(['Breast Epithelial Cell Temperature Distribution at t = ', num2str(time(t), '%.2f'), ' seconds']);
xlabel('X (µm)');
ylabel('Y (µm)');
zlabel('Z (µm)');
axis equal;
axis([-space_size / 2, space_size / 2, -space_size / 2, space_size / 2, -space_size / 2, space_size / 2]);
drawnow;
end