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subject1_test.m
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BG = [143.5 147.5 155.5 166 216 222.5 240 248.5 264.5 294.5 309.5 327.5 332 330.5 326 325 326 326.5 324 310.5 312.5 306.5 296 293.5 280.5 273.5];
carbs = 50;
bolus = 1.65;
min_per_hour = 60 ;
dt = 10;
time = [-10:dt:240];
time = time ./ min_per_hour ;
dt = dt ./ min_per_hour ;
basal1 = .95*dt ;
basal2 = .75*dt ;
basal_time = -10:dt:time(end) ;
basal = ones(size(basal_time))*basal1 ;
[foo, basal_change_index] = min(abs(basal_time*60-30));
[foo, bolus_index] = min(abs(basal_time*60));
basal(basal_change_index:end) = basal(basal_change_index:end) *basal2/basal1;
total_insulin = basal ;
total_insulin(bolus_index) = total_insulin(bolus_index)+bolus ;
bolus_schedule = zeros(size(time)) ;
bolus_schedule(2) = bolus ;
[foo,time_start_index] = min(abs(basal_time-time(1)));
[foo,time_end_index] = min(abs(basal_time-time(end)));
pump_basal = basal ;
time_to_metabolize = -100/min_per_hour ;
% given at 9:01 AM.
% food eaten at 8:56
estimateIOBTable;
SI_best = 50 ; % insulin sensitivity, BG/insulin
b1_best = basal1 ;
b2_best = basal2 ;
C_best = 10 ; % carb ratio, carbs/insulin
SC_best = SI_best / C_best ;
k_s2b_best = .005 ;
k_insulin_best = .025 ;
basal = ones(size(basal_time))*b1_best ;
basal(basal_change_index:end) = basal(basal_change_index:end) *b2_best/b1_best;
[bact, babs] = compute_total_insulin_timecourse(basal, 60*basal_time, k_insulin_best,.001,k_insulin_best);
basal_absorbed = babs(time_start_index:time_end_index) ;
[pump_basal_active_long, pump_basal_absorbed_long] = compute_total_insulin_timecourse(pump_basal, 60*basal_time, k_insulin_best,.001,k_insulin_best);
pump_basal_absorbed = pump_basal_absorbed_long(time_start_index:time_end_index);
basal_difference = pump_basal_absorbed - basal_absorbed ;
[active_insulin, bolus_absorbed] = compute_total_insulin_timecourse(bolus_schedule, 60*time, k_insulin_best,.001, k_insulin_best);
carbs_metabolized = predict_carb_uptake(carbs, .0, k_s2b_best, time) ;
rms_best = compute_bg_error(BG(1),BG, bolus_absorbed, carbs_metabolized, time, SI_best, basal_difference, SC_best);
M0 = BG(1) ;
disp(sprintf('**** new optimum %2.3f found at B1=%2.3f, B2=%2.3f k_carbs=%2.3f, k_insulin=%2.4f, SC=%2.1f, SI=%2.0f, C=%2.1f *****', rms_best,b1_best/dt, b2_best/dt,k_s2b_best,k_insulin_best,SC_best,SI_best, C_best));
rms_best = sqrt((length(time) * 400^2)/length(time)) ;
k_s2b_min = .02 ;
k_s2b_max = .1 ;
k_s2b_step = 0.001 ;
k_s2b_num = 1+round((k_s2b_max-k_s2b_min)/k_s2b_step) ;
k_s2b = k_s2b_min:k_s2b_step:k_s2b_max ;
k_s2b_table = zeros(length(k_s2b), length(time)) ;
ci = 1 ;
for k=k_s2b
k_s2b_table(ci,:) = predict_carb_uptake(carbs, .0, k, time) ;
ci = ci+1 ;
end
for b1=.7*dt:.025*dt:1.5*dt
for b2=.6*dt:.025*dt:1.5*dt
disp(sprintf('searching basal1 = %2.3f, basal2 = %2.3f', b1/dt, b2/dt)) ;
basal = ones(size(basal_time))*b1 ;
basal(basal_change_index:end) = basal(basal_change_index:end) *b2/b1;
for k_insulin=.005:0.001:.04
[active_insulin, bolus_absorbed] = compute_total_insulin_timecourse(bolus_schedule, 60*time, k_insulin,.001,k_insulin);
if (active_insulin(end) > 0.1*bolus)
continue
end
[bact, babs] = compute_total_insulin_timecourse(basal, 60*basal_time, k_insulin,.001,k_insulin);
basal_absorbed = babs(time_start_index:time_end_index) ;
[pump_basal_active_long, pump_basal_absorbed_long] = compute_total_insulin_timecourse(pump_basal, 60*basal_time, k_insulin,.001,k_insulin);
pump_basal_absorbed = pump_basal_absorbed_long(time_start_index:time_end_index);
basal_difference = pump_basal_absorbed - basal_absorbed ;
ci = 1 ;
for k_stomach_to_blood=k_s2b
% carbs_metabolized = predict_carb_uptake(carbs, .0, k_stomach_to_blood, time) ;
carbs_metabolized = k_s2b_table(ci,:) ;
ci = ci + 1 ;
if (carbs_metabolized(end) < .9*carbs)
continue
end
for C=5:.1:20
for SI=10:1:100
SC = SI / C ;
rms = compute_bg_error(BG(1), BG, bolus_absorbed, carbs_metabolized, time, SI, basal_difference, SC);
if (rms < rms_best)
rms_best = rms ;
k_insulin_best = k_insulin ;
k_s2b_best = k_stomach_to_blood ;
b1_best = b1 ;
b2_best = b2 ;
C_best = SI/SC ;
SI_best = SI ;
SC_best = SC ;
[pump_basal_active_long, pump_basal_absorbed_long] = compute_total_insulin_timecourse(pump_basal, 60*basal_time, k_insulin_best,.001,k_insulin_best);
pump_basal_absorbed = pump_basal_absorbed_long(time_start_index:time_end_index);
basal = ones(size(basal_time))*b1_best ;
basal(basal_change_index:end) = basal(basal_change_index:end) *b2_best/b1_best;
[bact, babs] = compute_total_insulin_timecourse(basal, 60*basal_time, k_insulin_best,.001, k_insulin_best);
basal_absorbed = babs(time_start_index:time_end_index) ;
basal_difference = pump_basal_absorbed - basal_absorbed ;
[active_insulin, bolus_absorbed] = compute_total_insulin_timecourse(bolus_schedule, 60*time, k_insulin_best,.001,k_insulin_best);
disp(sprintf('**** new optimum %2.3f found at B1=%2.3f, B2=%2.3f k_carbs=%2.3f, k_insulin=%2.4f, SC=%2.1f, SI=%2.1f, C=%2.2f *****', rms,b1_best/dt, b2_best/dt,k_s2b_best,k_insulin_best,SC_best,SI_best, C_best));
[rms, BG_p] = compute_bg_error(BG(1),BG, bolus_absorbed, carbs_metabolized, time, SI_best, basal_difference, SC_best);
figure(1) ;
plot(time*60, BG, 'r') ;
title(sprintf('k=%2.3f, RMS=%2.1f', k_s2b_best, rms_best)) ;
hold on ;
plot(time*60, BG_p, 'g') ;
hold off;
drawnow ;
figure(2) ;
plotyy(time, active_insulin, time, carbs_metabolized) ;
drawnow ;
end
end
end
end
end
end
basal = ones(size(basal_time))*b1_best ;
basal(basal_change_index:end) = basal(basal_change_index:end) *b2_best/b1_best;
[bact, babs] = compute_total_insulin_timecourse(basal, 60*basal_time, k_insulin_best,.001, k_insulin_best);
basal_absorbed = babs(time_start_index:time_end_index) ;
[pump_basal_active_long, pump_basal_absorbed_long] = compute_total_insulin_timecourse(pump_basal, 60*basal_time, k_insulin_best,.001,k_insulin_best);
pump_basal_absorbed = pump_basal_absorbed_long(time_start_index:time_end_index);
basal_difference = pump_basal_absorbed - basal_absorbed ;
[active_insulin, bolus_absorbed] = compute_total_insulin_timecourse(bolus_schedule, 60*time, k_insulin_best,.001,k_insulin_best);
carbs_metabolized = predict_carb_uptake(carbs, .0, k_s2b_best, time) ;
[rms, BG_p] = compute_bg_error(BG(1),BG, bolus_absorbed, carbs_metabolized, time, SI_best, basal_difference, SC_best);
figure(1) ;
clf ;
plot(time*60, BG, 'r') ;
title(sprintf('B1=%2.3f, B2=%2.3f, k=%2.3f, RMS=%2.1f', b1_best*dt, b2_best*dt, k_s2b_best, rms_best)) ;
hold on ;
plot(time*60, BG_p, 'g') ;
legend('actual BG', 'model BG')
xlabel('time (min)', 'fontsize', 16, 'fontweight', 'bold')
ylabel('BG (mg/dL)', 'fontsize', 16, 'fontweight', 'bold')
set(gca, 'fontsize', 16, 'fontweight', 'bold')
hold off;
figure(2) ;
clf ;
[ax, h1, h2] = plotyy(time*60, active_insulin, time*60, carbs_metabolized) ;
legend('insulin', 'carbs')
xlabel('time (min)', 'fontsize', 16, 'fontweight', 'bold')
set(ax(1), 'fontsize', 16, 'fontweight', 'bold')
set(ax(2), 'fontsize', 16, 'fontweight', 'bold')
axes(ax(1)) ; ylabel('active insulin (units)') ;
axes(ax(2)) ; ylabel('carbs metabolized') ;
drawnow ;
end