I want to animate this function through time

I have a function T producing temperatures through time and depth and can plot individual temperature profiles in time (see attached image), but want to animate it so it is a single line moving through time. I have tried the "animatedline" function without success so far. I want to show the line moving through time as a function of temperature and depth. Is animatedline the proper command or should I use something else?

%settings

conductivity=.0033; %W m-1 K-1
heat_capacity=671.8; %J kg-1K-1
density=1300; %kgm-1^3
diffusivity=conductivity/(heat_capacity*density);
synodic_period=2.55e6; %seconds
synodic_frequency=(2*pi)/synodic_period;
T_av=250; %K
T_amp=150; %K
skin_depth=sqrt(2*diffusivity/synodic_frequency);

t_list=linspace(0,synodic_period,20); %time
%t_list = 0:5:synodic_period;

z_list=linspace(0,.5,100); %depth

T=nan(length(t_list),length(z_list)); %output vector

for t_index=1:length(t_list)
    t=t_list(t_index); %first timestep
    for z_index=1:length(z_list)
        z=z_list(z_index);

          T(t_index,z_index)=T_av+T_amp*exp(-z*sqrt(synodic_frequency/(2*diffusivity)))*cos(synodic_frequency*t-z*sqrt(synodic_frequency/(2*diffusivity)));
      end
  end

max_T=[];
for i=1:size(T,2)
max_T(i)=max(T(:,i));
end

min_T=[];
for i=1:size(T,2)
min_T(i)=min(T(:,i));
end    

%%graph

plot((T), (z_list));
hold on
plot((max_T), (z_list), 'k-', 'LineWidth', 1.0)
set (gca,'YDir','reverse');
plot((min_T), (z_list), 'k-', 'LineWidth', 1.0);
title('Temperature Profile')
xlabel('Temperature (K)')
ylabel('Depth (m)')

Answer 1

[jonas]

read here

https://www.mathworks.com/help/matlab/creating_plots/animation-techniques-1.html

I would rather update the xdata and ydata of your line handle in a for loop, perhaps with a pause() at the end to reduce the speed.

[L]

Hi Jonas, thank you, I am working on this (new to Matlab).

[jonas]

No problem! Just let me know if you need help. It is always easier if you provide some sample data to work with!

If I understand correctly, each row in T describe a temperature profile that you want to plot against z_list (depth). Basically you write something like this

figure;hold on
h=plot(T(1,:),z_list)
for i=2:size(T,1)
   h.XData=T(i,:)
   pause(0.1)
end