liver_simulation.m

% 3D Liver Simulation.

[X, Y, Z] = meshgrid(linspace(-5, 5, 100), linspace(-5, 5, 100), linspace(-2, 2, 50));
liverShape = X.^2/10 + Y.^2/20 + Z.^2/5 - 1;
isosurface(X, Y, Z, liverShape, 0);
xlabel('X-axis');
ylabel('Y-axis');
zlabel('Z-axis');
title('3D Liver Simulation');
xlim([-5, 5]);
ylim([-5, 5]);
zlim([-2, 2]);
light('Position', [1, -1, 0]);
lighting gouraud;
colormap(hot);
grid on;
colorbar;
view(3);
set(gcf, 'Position', [100, 100, 800, 600]);

% Temperature changes in the liver tissue over time due to ultrasound radiation.

num_points = 100;
liver_radius = 5;
ultrasound_frequency = 1e6;
ultrasound_intensity = 1e4;
attenuation_coefficient = 0.2;
simulation_time = 1;
time_step = 0.001;
liver_center = [0, 0, 0];
liver = liver_radius * rand(num_points, 3) - liver_radius/2 + liver_center;
time = 0:time_step:simulation_time;
liver_temperature = zeros(num_points, length(time));
for t = 1:length(time)
for point = 1:num_points
ultrasound_intensity_at_point = ultrasound_intensity * exp(-attenuation_coefficient * norm(liver(point, :)));
temperature_change = ultrasound_intensity_at_point / (1.5 * liver_radius) * sin(2 * pi * ultrasound_frequency * time(t));
liver_temperature(point, t) = temperature_change;
end
end
figure;
for t = 1:length(time)
scatter3(liver(:, 1), liver(:, 2), liver(:, 3), 20, liver_temperature(:, t), 'filled');
colorbar;
title(['Liver Temperature Distribution at t = ', num2str(time(t), '%.2f'), ' seconds']);
xlabel('X (cm)');
ylabel('Y (cm)');
zlabel('Z (cm)');
axis equal;
axis([-liver_radius liver_radius -liver_radius liver_radius -liver_radius liver_radius]);
drawnow;
end