Table A1 Model details Variable Equation...

Table A1

Model details

Variable	Equation	Properties	Units
Model 1 variables and formula
Costs(t)	Costs(t−dt) + (Total_costs) * dt	INIT Costs = 0	Euros
Hospitalized(t)	Hospitalized(t−dt) + (Hospitalizations−Discharged) * dt	INIT Hospitalized = 0	People
Patients_TiC(t)	Patients_TiC(t−dt) + (TiC−Progression_TiC) * dt	INIT Patients_TiC = 0	People
Phase_1(t)	Phase_1(t−dt) + (Incidence−Progression−Screening) * dt	INIT Phase_1 = 1,000	People
Phase_2(t)	Phase_2(t−dt) + (Progression + Discharged + Progression_TiC + Progression_screened−Hospitalizations) * dt	INIT Phase_2 = 100	People
Population_screened(t)	Population_screened(t−dt) + (Screening−TiC−Progression_screened) * dt	INIT Population_screened = 0	People
Susceptible_population(t)	Susceptible_population(t−dt) + (−Incidence) * dt	INIT Susceptible_population = 1,000,000	People
Discharged	Hospitalized/Hosp_days		People/Months
Hospitalizations	Phase_2*Hosp_rate		People/Months
Incidence	Susceptible_population*Rate_of_incidence		People/Months
Progression	Phase_1*“Patient_progression_non-TiC”		People/Months
Progression_screened	Patient_progression_non-TiC*Population_screened		People/Months
Progression_TiC	Patient_progression_TiC*Patients_TiC		People/Months
Screening	Screening_capacity*Phase_1/Susceptible_population		People/Months
TiC	Primary_care_capacity		People/Months
Total_costs	Hospital_cost + Cost_of_Employees + Cost_of_GPs		Euros/Months
Chronic_patients_per_GP	5		People/Employees/Year
Cost_of_Employees	Employees*Employee_salary		Euros/Years
Cost_of_GPs	GPs*GP_salary		Euros/Years
DRG_tariff	3,000		Euros/People
Employee_salary	4,000		Euros/Employees/Years
Employees	15		People
GP_salary	6,000		Euros/Employee/Years
GPs	1,000		Employees
Hosp_days	5		Days
Hosp_rate	0.05		Per Year
Hospital_cost	Hospitalizations*DRG_tariff		Euros/Months
Patient_progression_non-TiC	0.1		Per Year
Patient_progression_TiC	0.02		Per Year
Primary_care_capacity	GPs*Chronic_patients_per_GP		People/Years
Rate_of_incidence	0.02		Per Year
Screening_capacity	Screening_per_Emp*Employees		People/Years
Screening_per_Emp	2,000		People/Employees/Years
Model 2 variables and formula
GPs(t)	GPs(t−dt) + (Hiring_GPs) * dt	INIT GPs = 0	Employees
Health_expenditure(t)	Health_expenditure(t−dt) + (Total_costs) * dt	INIT Health_expenditure = 0	Euros
Hospitalized(t)	Hospitalized(t−dt) + (Hospitalizations−Discharged) * dt	INIT Hospitalized = 0	People
Patients_TiC(t)	Patients_TiC(t−dt) + (TiC−Progression_TiC) * dt	INIT Patients_TiC = 0	People
Phase_1(t)	Phase_1(t−dt) + (Incidence−Progression−Screening) * dt	INIT Phase_1 = 1,000	People
Phase_2(t)	Phase_2(t−dt) + (Progression + Discharged + Progression_TiC + Progression_screened−Hospitalizations) * dt	INIT Phase_2 = 100	People
Population_screened(t)	Population_screened(t−dt) + (Screening−TiC−Progression_screened) * dt	INIT Population_screened = 0	People
Screening_Emp(t)	Screening_Emp(t−dt) + (Hiring) * dt	INIT Screening_Emp = 0	Employees
Susceptible_population(t)	Susceptible_population(t−dt) + (−Incidence) * dt	INIT Susceptible_population = 1,000,000	People
Discharged	Hospitalized/Hosp_days		People/Months
Hiring	(Employee_requirements-Screening_Emp)/Time_to_recruit		Employees/Months
Hiring_GPs	(GPs_requirements-GPs)/Time_to_recruit		Employees/Months
Hospitalizations	Phase_2*Hosp_rate		People/Months
Incidence	Susceptible_population*Rate_of_incidence		People/Months
Progression	Phase_1*“Patient_progression_non-TiC”		People/Months
Progression_screened	Patient_progression_non-TiC*Population_screened	OUTFLOW PRIORITY: 2	People/Months
Progression_TiC	Patient_progression_TiC*Patients_TiC		People/Months
Screening	Screening_capacity*Phase_1/Susceptible_population		People/Months
TiC	Primary_care_capacity	OUTFLOW PRIORITY: 1	People/Months
Total_costs	Hospital_cost + Cost_of_Employees + Cost_of_GPs		Euros/Months
Chronic_patients_per_GP	5		People/Employees/Year
Cost_of_Employees	Screening_Emp*Employee_salary		Euros/Years
Cost_of_GPs	GPs*GP_salary		Euros/Years
DRG_tariff	3,000		Euros/People
Employee_requirements	(Susceptible_population-Screening_capacity)/Screening_per_Emp		Employees
Employee_salary	4,000		Euros/Employees/Years
GP_salary	6,000		Euros/Employee/Years
GPs_requirements	(Population_screened-Primary_care_capacity)/Chronic_patients_per_GP		Employees
Hosp_days	5		Days
Hosp_rate	0.05		Per Year
Hospital_cost	Hospitalizations*DRG_tariff		Euros/Months
Patient_progression_non-TiC	0.1		Per Year
Patient_progression_TiC	0.02		Per Year
Primary_care_capacity	GPs*Chronic_patients_per_GP		People/Years
Rate_of_incidence	0.02		Per Year
Screening_capacity	Screening_per_Emp*Screening_Emp		People/Years
Screening_per_Emp	2,000		People/Employees/Years
Time_to_recruit	0.5		Years

Variable	Equation	Properties	Units
Model 1 variables and formula
Costs(t)	Costs(t−dt) + (Total_costs) * dt	INIT Costs = 0	Euros
Hospitalized(t)	Hospitalized(t−dt) + (Hospitalizations−Discharged) * dt	INIT Hospitalized = 0	People
Patients_TiC(t)	Patients_TiC(t−dt) + (TiC−Progression_TiC) * dt	INIT Patients_TiC = 0	People
Phase_1(t)	Phase_1(t−dt) + (Incidence−Progression−Screening) * dt	INIT Phase_1 = 1,000	People
Phase_2(t)	Phase_2(t−dt) + (Progression + Discharged + Progression_TiC + Progression_screened−Hospitalizations) * dt	INIT Phase_2 = 100	People
Population_screened(t)	Population_screened(t−dt) + (Screening−TiC−Progression_screened) * dt	INIT Population_screened = 0	People
Susceptible_population(t)	Susceptible_population(t−dt) + (−Incidence) * dt	INIT Susceptible_population = 1,000,000	People
Discharged	Hospitalized/Hosp_days		People/Months
Hospitalizations	Phase_2*Hosp_rate		People/Months
Incidence	Susceptible_population*Rate_of_incidence		People/Months
Progression	Phase_1*“Patient_progression_non-TiC”		People/Months
Progression_screened	Patient_progression_non-TiC*Population_screened		People/Months
Progression_TiC	Patient_progression_TiC*Patients_TiC		People/Months
Screening	Screening_capacity*Phase_1/Susceptible_population		People/Months
TiC	Primary_care_capacity		People/Months
Total_costs	Hospital_cost + Cost_of_Employees + Cost_of_GPs		Euros/Months
Chronic_patients_per_GP	5		People/Employees/Year
Cost_of_Employees	Employees*Employee_salary		Euros/Years
Cost_of_GPs	GPs*GP_salary		Euros/Years
DRG_tariff	3,000		Euros/People
Employee_salary	4,000		Euros/Employees/Years
Employees	15		People
GP_salary	6,000		Euros/Employee/Years
GPs	1,000		Employees
Hosp_days	5		Days
Hosp_rate	0.05		Per Year
Hospital_cost	Hospitalizations*DRG_tariff		Euros/Months
Patient_progression_non-TiC	0.1		Per Year
Patient_progression_TiC	0.02		Per Year
Primary_care_capacity	GPs*Chronic_patients_per_GP		People/Years
Rate_of_incidence	0.02		Per Year
Screening_capacity	Screening_per_Emp*Employees		People/Years
Screening_per_Emp	2,000		People/Employees/Years
Model 2 variables and formula
GPs(t)	GPs(t−dt) + (Hiring_GPs) * dt	INIT GPs = 0	Employees
Health_expenditure(t)	Health_expenditure(t−dt) + (Total_costs) * dt	INIT Health_expenditure = 0	Euros
Hospitalized(t)	Hospitalized(t−dt) + (Hospitalizations−Discharged) * dt	INIT Hospitalized = 0	People
Patients_TiC(t)	Patients_TiC(t−dt) + (TiC−Progression_TiC) * dt	INIT Patients_TiC = 0	People
Phase_1(t)	Phase_1(t−dt) + (Incidence−Progression−Screening) * dt	INIT Phase_1 = 1,000	People
Phase_2(t)	Phase_2(t−dt) + (Progression + Discharged + Progression_TiC + Progression_screened−Hospitalizations) * dt	INIT Phase_2 = 100	People
Population_screened(t)	Population_screened(t−dt) + (Screening−TiC−Progression_screened) * dt	INIT Population_screened = 0	People
Screening_Emp(t)	Screening_Emp(t−dt) + (Hiring) * dt	INIT Screening_Emp = 0	Employees
Susceptible_population(t)	Susceptible_population(t−dt) + (−Incidence) * dt	INIT Susceptible_population = 1,000,000	People
Discharged	Hospitalized/Hosp_days		People/Months
Hiring	(Employee_requirements-Screening_Emp)/Time_to_recruit		Employees/Months
Hiring_GPs	(GPs_requirements-GPs)/Time_to_recruit		Employees/Months
Hospitalizations	Phase_2*Hosp_rate		People/Months
Incidence	Susceptible_population*Rate_of_incidence		People/Months
Progression	Phase_1*“Patient_progression_non-TiC”		People/Months
Progression_screened	Patient_progression_non-TiC*Population_screened	OUTFLOW PRIORITY: 2	People/Months
Progression_TiC	Patient_progression_TiC*Patients_TiC		People/Months
Screening	Screening_capacity*Phase_1/Susceptible_population		People/Months
TiC	Primary_care_capacity	OUTFLOW PRIORITY: 1	People/Months
Total_costs	Hospital_cost + Cost_of_Employees + Cost_of_GPs		Euros/Months
Chronic_patients_per_GP	5		People/Employees/Year
Cost_of_Employees	Screening_Emp*Employee_salary		Euros/Years
Cost_of_GPs	GPs*GP_salary		Euros/Years
DRG_tariff	3,000		Euros/People
Employee_requirements	(Susceptible_population-Screening_capacity)/Screening_per_Emp		Employees
Employee_salary	4,000		Euros/Employees/Years
GP_salary	6,000		Euros/Employee/Years
GPs_requirements	(Population_screened-Primary_care_capacity)/Chronic_patients_per_GP		Employees
Hosp_days	5		Days
Hosp_rate	0.05		Per Year
Hospital_cost	Hospitalizations*DRG_tariff		Euros/Months
Patient_progression_non-TiC	0.1		Per Year
Patient_progression_TiC	0.02		Per Year
Primary_care_capacity	GPs*Chronic_patients_per_GP		People/Years
Rate_of_incidence	0.02		Per Year
Screening_capacity	Screening_per_Emp*Screening_Emp		People/Years
Screening_per_Emp	2,000		People/Employees/Years
Time_to_recruit	0.5		Years

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