diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..9bd9b01
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1 @@
+*.~undo-tree~
diff --git a/LICENSE b/LICENSE
new file mode 100644
index 0000000..f288702
--- /dev/null
+++ b/LICENSE
@@ -0,0 +1,674 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 3, 29 June 2007
+
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+ 17. Interpretation of Sections 15 and 16.
+
+ If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+
+ Copyright (C)
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program. If not, see .
+
+Also add information on how to contact you by electronic and paper mail.
+
+ If the program does terminal interaction, make it output a short
+notice like this when it starts in an interactive mode:
+
+ Copyright (C)
+ This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, your program's commands
+might be different; for a GUI interface, you would use an "about box".
+
+ You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+.
+
+ The GNU General Public License does not permit incorporating your program
+into proprietary programs. If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library. If this is what you want to do, use the GNU Lesser General
+Public License instead of this License. But first, please read
+.
diff --git a/app/main.f90 b/app/main.f90
new file mode 100644
index 0000000..8c50727
--- /dev/null
+++ b/app/main.f90
@@ -0,0 +1,224 @@
+program main
+
+ use kind_parameter
+ use cust_fns
+ use data_types
+ use inputs
+ use elastance
+ use funcs
+ use ieee_arithmetic
+ implicit none
+
+ ! Declares initial variables
+ integer :: nstep, ncycle, rk, i, icycle, k, io, nan_count, inf_count, offset
+ real(dp) :: T, pini_sys, pini_pulm, h, t_val
+ type (arterial_network) :: a_cof
+ type (chambers) :: h_cof
+ type (valve) :: AV, MV, PV, TV
+ type (valve_system) :: v_cof
+ real(dp), allocatable, dimension(:) :: ELV, ELA, ERV, ERA
+ type (heart_elastance) :: elast, elast_half
+ real(dp) :: current_sol(22)
+ real(dp), allocatable :: sol(:, :)
+ real(dp), allocatable :: h_pres(:, :)
+ real(dp), allocatable :: t_axis(:)
+ real(dp), dimension(22) :: k1, k2, k3, k4
+ character(len=50), dimension(22) :: headers
+ real(dp) :: scale_Rsys, scale_Csys, scale_Rpulm, scale_Cpulm
+ real(dp) :: scale_Emax, scale_EmaxLV, scale_EmaxRV
+ real(dp) :: rho
+ type (arterial_system) :: sys
+ type (arterial_system) :: pulm
+ type (chamber) :: LV, LA, RV, RA
+
+ ! Declares the namelists
+ namelist /INPUTS/ nstep, T, ncycle, pini_sys, pini_pulm, rk
+ namelist /VALVES/ AV, MV, PV, TV
+ namelist /ARTERIES/ scale_Rsys, scale_Csys, scale_Rpulm, scale_Cpulm, rho, sys, pulm
+ namelist /HEART/ scale_EmaxLV, scale_EmaxRV, scale_Emax, LV, LA, RV, RA
+
+ !!! Initialisation !!!
+ ! Defines initial variables
+ io = 42
+ open(action='read', file='inputs.nml', newunit=io)
+ read(nml=INPUTS, unit=io)
+ read(nml=VALVES, unit=io)
+ read(nml=ARTERIES, unit=io)
+ read(nml=HEART, unit=io)
+ close(io)
+
+ headers = [ character(len=50) :: 'Aortic Valve Flow', &
+ 'Sinus Flow','Aortic Flow', &
+ 'Tricuspid Valve Flow', &
+ 'Pulmonary Valve Flow', &
+ 'Arterial Flow', &
+ 'Aterioles Flow', &
+ 'Mitral Valve Flow', &
+ 'Systemic Sinus Pressure', &
+ 'Systemic Artery Pressure', &
+ 'Systemic Venous Pressure', &
+ 'Pulmonary Sinus Pressure', &
+ 'Pulmonary Artery Pressure', &
+ 'Pulmonary Venous Pressure', &
+ 'Left Ventricular Volume', &
+ 'Left Atrial Volume', &
+ 'Right Ventricular Volume', &
+ 'Right Atrial Volume', &
+ 'Aortic Valve Status', &
+ 'Mitral Valve Status',&
+ 'Pulmonary Valve Status', &
+ 'Tricuspid Valve Status']
+
+ ! Relevant arterial coefficients
+ call artery_input(sys, pulm, scale_Rsys, scale_Csys, scale_Rpulm, scale_Cpulm)
+ a_cof = arterial_network(sys, pulm, rho)
+
+ ! Relevant heart coefficients
+ call heart_input(LV, LA, RV, RA, T, scale_EmaxLV, scale_EmaxRV, scale_Emax)
+ h_cof = chambers(LV, LA, RV, RA)
+
+ ! Relevant valve coefficients
+ v_cof = valve_system(AV, MV, PV, TV)
+
+ !!! Main code !!!
+ ! Calculates elastance curves for the different chambers of the heart
+ allocate(t_axis(nstep))
+ h = T / real(nstep, dp)
+ t_val = 0.0_dp
+ do i = 1, nstep
+ t_axis(i) = t_val
+ t_val = t_val + h
+ end do
+ allocate(ELV(nstep))
+ allocate(ELA(nstep))
+ allocate(ERV(nstep))
+ allocate(ERA(nstep))
+ ELV = calc_elastance(h_cof%LV, nstep, T, t_axis)
+ ELA = calc_elastance(h_cof%LA, nstep, T, t_axis)
+ ERV = calc_elastance(h_cof%RV, nstep, T, t_axis)
+ ERA = calc_elastance(h_cof%RA, nstep, T, t_axis)
+
+ ! Saves the heart information at the points
+ elast = heart_elastance(ELV=ELV, ELA=ELA, ERV=ERV, ERA=ERA)
+ elast_half = heart_elastance(ELV=midpoint(ELV), &
+ ELA=midpoint(ELA), &
+ ERV=midpoint(ERV), &
+ ERA=midpoint(ERA))
+
+ ! Initialise the solution
+ allocate(sol(22, ncycle * nstep + 1))
+
+ sol(1, 1) = 0.0_dp ! Flow through aortic valve
+ sol(2, 1) = 0.0_dp ! Flow through sinus
+ sol(3, 1) = 0.0_dp ! Flow through aorta
+ sol(4, 1) = 0.0_dp ! Flow through tricuspid
+ sol(5, 1) = 0.0_dp ! Flow through pulmonary
+ sol(6, 1) = 0.0_dp ! Flow through arteries
+ sol(7, 1) = 0.0_dp ! Flow through arterioles
+ sol(8, 1) = 0.0_dp ! Flow through mitral valve
+
+ sol(9, 1) = pini_sys ! Initial arterial pressure
+ sol(10, 1) = pini_sys ! Initial arterial pressure
+ sol(11, 1) = pini_sys ! Initial arterial pressure
+ sol(12, 1) = pini_pulm ! Initial pulmonary pressure
+ sol(13, 1) = pini_pulm ! Initial pulmonary pressure
+ sol(14, 1) = pini_pulm ! Initial pulmonary pressure
+
+ sol(15, 1) = h_cof%LV%v0_2 ! End diastolic left ventricular volume
+ sol(16, 1) = h_cof%LA%v0_2 ! End diastolic left atrial volume
+ sol(17, 1) = h_cof%RV%v0_2 ! End diastolic right ventricular volume
+ sol(18, 1) = h_cof%RA%v0_2 ! End diastolic right atrial volume
+
+ sol(19, 1) = 0.0_dp ! Aortic valve is initially closed.
+ sol(20, 1) = 0.0_dp ! Mitral valve is initially closed.
+ sol(21, 1) = 0.0_dp ! Pulmonary valve is initially closed.
+ sol(22, 1) = 0.0_dp ! Tricuspid valve is initially closed.
+
+ ! Solves the system of equations using a 4th order Runge-Kutta method
+ i = 0 ! Initialise
+
+ do icycle = 1, ncycle
+ print *, 'Cycle: ', icycle
+ do k = 1, nstep
+ i = i + 1
+ current_sol = sol(:, i)
+ if (rk == 2) then ! Second order Runge-Kutta
+ k1 = h * solver(current_sol, a_cof, v_cof, h_cof, elast, k)
+ k2 = h * solver(current_sol + k1/2, a_cof, v_cof, h_cof, elast, k)
+ sol(:, i+1) = current_sol + k2
+ else if (rk == 4) then ! Fourth order Runge-Kutta
+ k1 = h * solver(current_sol, a_cof, v_cof, h_cof, elast, k)
+ k2 = h * solver(current_sol + k1/2, a_cof, v_cof, h_cof, elast, k)
+ k3 = h * solver(current_sol + k2/2, a_cof, v_cof, h_cof, elast, k)
+ if ( k /= nstep ) then
+ k4 = h * solver(current_sol + k3, a_cof, v_cof, h_cof, elast, k+1)
+ else
+ k4 = h * solver(current_sol + k3, a_cof, v_cof, h_cof, elast, 1)
+ end if
+ sol(:, i + 1) = current_sol + (k1 + 2 * k2 + 2 * k3 + k4) / 6
+ end if
+ end do
+ end do
+
+ ! Calculates ventricular pressures
+ allocate(h_pres(4, nstep))
+ offset = (ncycle - 1) * nstep + 2
+ h_pres(1, :) = ELV * (sol(15, offset:) - LV%v0_1)
+ h_pres(2, :) = ELA * (sol(16, offset:) - LA%v0_1)
+ h_pres(3, :) = ERV * (sol(17, offset:) - RV%v0_1)
+ h_pres(4, :) = ERA * (sol(18, offset:) - RA%v0_1)
+
+ ! Saves the solution
+ io = 42
+ nan_count = 0
+ inf_count = 0
+ open(newunit=io, file='output.csv', status='replace')
+ do i=offset, ncycle * nstep
+ do k=1, 22
+ if ( i == offset ) then
+ write(io, fmt="(A, A)", advance='no') trim(headers(k)), ','
+ if ( k == 22 ) then
+ write(io, fmt="(A)", advance='no') 'Left Ventricular Pressure,'
+ write(io, fmt="(A)", advance='no') 'Left Atrial Pressure,'
+ write(io, fmt="(A)", advance='no') 'Right Ventricular Pressure,'
+ write(io, fmt="(A)", advance='no') 'Right Atrial Pressure,'
+ write(io, fmt="(A)", advance='no') 'Left Ventricular Elastance,'
+ write(io, fmt="(A)", advance='no') 'Left Atrial Elastance,'
+ write(io, fmt="(A)", advance='no') 'Right Ventricular Elastance,'
+ write(io, fmt="(A)", advance='no') 'Right Atrial Elastance,'
+ write(io, fmt="(A)", advance='no') 'Time (s)'
+ end if
+ else
+ write(io, fmt="(f15.8, A)", advance='no') sol(k, i), ','
+ if ( k == 22 ) then
+ write(io, fmt="(f15.8, A)", advance='no') h_pres(1, i - offset), ','
+ write(io, fmt="(f15.8, A)", advance='no') h_pres(2, i - offset), ','
+ write(io, fmt="(f15.8, A)", advance='no') h_pres(3, i - offset), ','
+ write(io, fmt="(f15.8, A)", advance='no') h_pres(4, i - offset), ','
+ write(io, fmt="(f15.8, A)", advance='no') ELV(i - offset), ','
+ write(io, fmt="(f15.8, A)", advance='no') ELA(i - offset), ','
+ write(io, fmt="(f15.8, A)", advance='no') ERV(i - offset), ','
+ write(io, fmt="(f15.8, A)", advance='no') ERA(i - offset), ','
+ write(io, fmt="(f15.8)", advance='no') t_axis(i - offset)
+ end if
+
+ if (ieee_is_nan(sol(k, i))) then
+ nan_count = nan_count + 1
+ else if (.not. ieee_is_finite(sol(k, i))) then
+ inf_count = inf_count + 1
+ end if
+ end if
+ end do
+ write(io, *) ! New line
+ end do
+ close(io)
+
+ if (nan_count > 0) then
+ print *, 'NaN values found in solution.'
+ print *, '% NaN values:', 100.0_dp * nan_count / size(sol)
+ print *, '% Inf values:', 100.0_dp * inf_count / size(sol)
+ else
+ print *, 'Converged!'
+ print *, 'Mean value:', sum(sol) / size(sol)
+ end if
+end program main
diff --git a/fpm.toml b/fpm.toml
new file mode 100644
index 0000000..4289cf1
--- /dev/null
+++ b/fpm.toml
@@ -0,0 +1,14 @@
+name = "full_tree_lumped"
+version = "0.1.0"
+license = "license"
+author = "Alex Drysdale"
+maintainer = "reissuecardboard@duck.com"
+copyright = "Copyright 2022, Alex Drysdale"
+[build]
+auto-executables = true
+auto-tests = false
+auto-examples = true
+[install]
+library = false
+[dependencies]
+toml-f.git = "https://github.com/toml-f/toml-f"
diff --git a/src/cust_fns.f90 b/src/cust_fns.f90
new file mode 100644
index 0000000..0d9602a
--- /dev/null
+++ b/src/cust_fns.f90
@@ -0,0 +1,24 @@
+module cust_fns
+
+ use kind_parameter
+ implicit none
+
+ private
+ public midpoint
+
+contains
+
+ pure function midpoint(x) result(mp)
+
+ ! Declares initial variables
+ real(dp), allocatable, intent(in) :: x(:)
+ integer :: i
+ real(dp) :: dx(size(x) - 1)
+ real(dp) :: mp(size(x) - 1)
+
+ do i = 1, size(dx)
+ dx(i) = x(i + 1) - x(i)
+ end do
+ mp = x(1:size(x)-1) + dx / 2
+ end function midpoint
+end module cust_fns
diff --git a/src/data_types.f90 b/src/data_types.f90
new file mode 100644
index 0000000..58232fc
--- /dev/null
+++ b/src/data_types.f90
@@ -0,0 +1,80 @@
+module data_types
+
+ use kind_parameter
+ implicit none
+
+ private
+ public chamber, chambers
+ public arterial_system, arterial_network
+ public valve, valve_system
+ public heart_elastance
+
+ ! Declares the type for each chamber
+ type :: chamber
+ real(dp) :: Ks
+ real(dp) :: Emin
+ real(dp) :: Emax
+ real(dp) :: V0_1
+ real(dp) :: V0_2
+ real(dp) :: m1
+ real(dp) :: m2
+ real(dp) :: tau1
+ real(dp) :: tau2
+ real(dp) :: onset
+ end type
+
+ ! Declares the type for all 4 heart chambers
+ type :: chambers
+ type (chamber) :: LV
+ type (chamber) :: LA
+ type (chamber) :: RV
+ type (chamber) :: RA
+ end type
+
+ ! Declare artery system
+ type :: arterial_system
+ real(dp) :: Ras
+ real(dp) :: Rat
+ real(dp) :: Rar
+ real(dp) :: Rcp
+ real(dp) :: Rvn
+ real(dp) :: Cas
+ real(dp) :: Cat
+ real(dp) :: Cvn
+ real(dp) :: Las
+ real(dp) :: Lat
+ end type
+
+ ! Declares the complete network
+ type :: arterial_network
+ type (arterial_system) :: sys
+ type (arterial_system) :: pulm
+ real(dp) :: rho
+ end type
+
+ ! Declares the valve type
+ type :: valve
+ real(dp) :: Leff ! cm
+ real(dp) :: Aeffmin
+ real(dp) :: Aeffmax
+ real(dp) :: Kvc
+ real(dp) :: Kvo
+ end type
+
+ ! Declares a system of valves
+ type :: valve_system
+ type (valve) :: AV ! Aortic
+ type (valve) :: MV ! Mitral
+ type (valve) :: PV ! Pulmonary
+ type (valve) :: TV ! Tricuspid
+ end type
+
+ ! Declares the heart elastance type
+ type :: heart_elastance
+ real(dp), allocatable :: ELV(:)
+ real(dp), allocatable :: ELA(:)
+ real(dp), allocatable :: ERV(:)
+ real(dp), allocatable :: ERA(:)
+ end type
+
+end module data_types
diff --git a/src/elastance.f90 b/src/elastance.f90
new file mode 100644
index 0000000..e4150d6
--- /dev/null
+++ b/src/elastance.f90
@@ -0,0 +1,89 @@
+module elastance
+
+ use kind_parameter
+ use data_types
+ implicit none
+
+ private
+ public calc_elastance
+
+contains
+
+ elemental function mult(a, b) result(c)
+ real(dp), intent(in) :: a
+ real(dp), intent(in) :: b
+ real(dp) :: c
+ c = a * b
+ end function
+
+ elemental function calc_g1(g1_1) result(g1_2)
+ real(dp), intent(in) :: g1_1
+ real(dp) :: g1_2
+ g1_2 = g1_1 / ( 1 + g1_1)
+ end function calc_g1
+
+ elemental function calc_g2(g2_1) result(g2_2)
+ real(dp), intent(in) :: g2_1
+ real(dp) :: g2_2
+ g2_2 = 1 / ( 1 + g2_1)
+ end function calc_g2
+
+ ! Calculates the elastance of the heart
+ pure function calc_elastance(LV, nstep, T, E_t) result(E_out)
+
+ ! Declares input variables
+ type(chamber), intent(in) :: LV
+ integer, intent(in) :: nstep
+ real(dp), intent(in) :: T
+ real(dp), intent(in) :: E_t(nstep)
+
+ ! Declares output variable
+ real(dp), dimension(nstep) :: E_out
+
+ ! Declares intermediate variables
+ real(dp), dimension(nstep) :: E_tmp
+ integer :: i, t_idx
+ real(dp), dimension(nstep) :: q
+ real(dp), dimension(nstep - 1) :: dt
+ real(dp), dimension(nstep) :: v
+ real(dp), dimension(nstep) :: g1_1 ! g1 in MATLAB
+ real(dp), dimension(nstep) :: g2_1
+ real(dp), dimension(nstep) :: g1_2 ! G1 in MATLAB
+ real(dp), dimension(nstep) :: g2_2
+ real(dp), dimension(nstep) :: g12_prod
+ real(dp) :: k
+ real(dp), dimension(nstep) :: p_tmp
+ real(dp), dimension(nstep) :: p
+ real(dp), parameter :: pi=4.D0*datan(1.D0)
+
+ ! Initialise output
+ E_out = 0
+
+ ! Defines variables
+ q = sin(2 * pi * E_t / ( 2 * T))
+ do i = 1, nstep - 1
+ dt(i) = E_t(i + 1) - E_t(i)
+ end do
+ v(1) = LV%V0_2
+ v(2:) = LV%V0_2 - q(2:) * dt
+
+ g1_1 = (E_t / (LV%tau1 * T)) ** LV%m1
+ g2_1 = (E_t / (LV%tau2 * T)) ** LV%m2
+ g1_2 = calc_g1(g1_1)
+ g2_2 = calc_g2(g2_1)
+ g12_prod = mult(g1_2, g2_2)
+ k = (LV%Emax - LV%Emin) / maxval(g12_prod)
+
+ E_tmp = (k * g12_prod) + LV%Emin
+ p_tmp = mult(E_tmp, (v - LV%V0_1))
+ p = mult(p_tmp, (1 - LV%Ks * q))
+
+ t_idx = count(E_t <= T - LV%onset)
+ if ( t_idx == nstep ) then
+ E_out = E_tmp
+ else
+ E_out(1:nstep-t_idx) = E_tmp(t_idx+1:)
+ E_out(1 + nstep-t_idx:) = E_tmp(:t_idx)
+ end if
+ end function calc_elastance
+end module elastance
diff --git a/src/funcs.f90 b/src/funcs.f90
new file mode 100644
index 0000000..0816a3e
--- /dev/null
+++ b/src/funcs.f90
@@ -0,0 +1,170 @@
+module funcs
+
+ use kind_parameter
+ use data_types
+ implicit none
+
+ private
+ public solver
+
+contains
+
+ ! Solves the system
+ pure function solver(sol, a_cof, v_cof, h_cof, elast, k) result(ftot)
+
+ ! Declare input variables
+ real(dp), dimension(22), intent(in) :: sol
+ type (arterial_network), intent(in) :: a_cof
+ type (valve_system), intent(in) :: v_cof
+ type (chambers), intent(in) :: h_cof
+ type (heart_elastance), intent(in) :: elast
+ integer, intent(in) :: k
+
+ real(dp), dimension(22) :: ftot
+ real(dp) :: mmHg, resist, rho
+ real(dp) :: Qav, Qsas, Qsat, Qtv, Qpv, Qpas, Qpat, Qmv, Qpvn, Qsvn
+ real(dp) :: psas, psat, psvn, ppas, ppat, ppvn
+ real(dp) :: Vlv, Vla, Vrv, Vra
+ real(dp) :: ksi_av, ksi_mv, ksi_pv, ksi_tv
+ real(dp) :: plv, pla, prv, pra
+ real(dp), dimension(4) :: Aeff
+ real(dp), dimension(4) :: B
+ real(dp), dimension(4) :: Z
+ real(dp) :: dpav, dpmv, dppv, dptv
+
+ ! Initialises ftot to be zero
+ ftot = 0.0_dp
+
+ mmHg = 1333.0_dp
+ resist = 1.0_dp
+
+ ! Flows
+ Qav = sol(1)
+ Qsas = sol(2)
+ Qsat = sol(3)
+ Qtv = sol(4)
+ Qpv = sol(5)
+ Qpas = sol(6)
+ Qpat = sol(7)
+ Qmv = sol(8)
+
+ ! Pressures
+ psas = sol(9)
+ psat = sol(10)
+ psvn = sol(11)
+ ppas = sol(12)
+ ppat = sol(13)
+ ppvn = sol(14)
+
+ ! Volumes
+ Vlv = sol(15)
+ Vla = sol(16)
+ Vrv = sol(17)
+ Vra = sol(18)
+
+ ! Valves
+ ksi_av = sol(19)
+ ksi_mv = sol(20)
+ ksi_pv = sol(21)
+ ksi_tv = sol(22)
+
+ ! Blood density
+ rho = a_cof%rho
+
+ ! Pressures in the chambers of the heart
+ plv = elast%ELV(k) * (Vlv - h_cof%LV%V0_1)
+ pla = elast%ELA(k) * (Vla - h_cof%LA%V0_1)
+ prv = elast%ERV(k) * (VRv - h_cof%RV%V0_1)
+ pra = elast%ERA(k) * (VRa - h_cof%RA%V0_1)
+
+ ! Inductance and resistance systemic
+ ftot(2) = (psas - psat - a_cof%sys%Ras * Qsas) / a_cof%sys%Las
+ ftot(3) = (psat - psvn - (a_cof%sys%Rat + a_cof%sys%Rar + a_cof%sys%Rcp)* Qsat) / a_cof%sys%Lat
+ Qsvn = (psvn - pra) / a_cof%sys%Rvn
+
+ ! Inductance and resistance pulmonary
+ ftot(6) = (ppas - ppat - a_cof%pulm%Ras * Qpas) / a_cof%pulm%Las
+ ftot(7) = (ppat - ppvn - (a_cof%pulm%Rat + a_cof%pulm%Rar + a_cof%pulm%Rcp)* Qpat) / a_cof%pulm%Lat
+ Qpvn = (ppvn - pla) / a_cof%pulm%Rvn
+
+ ! Compliance systemic
+ ftot(9) = (Qav - Qsas) / a_cof%sys%Cas
+ ftot(10) = (Qsas - Qsat) / a_cof%sys%Cat
+ ftot(11) = (Qsat - Qsvn) / a_cof%sys%Cvn
+
+ ! Compliance Pulmonary
+ ftot(12) = (Qpv - Qpas) / a_cof%pulm%Cas
+ ftot(13) = (Qpas - Qpat) / a_cof%pulm%Cat
+ ftot(14) = (Qpat - Qpvn) / a_cof%pulm%Cvn
+
+ ! Volume-Flow relations systemic
+ ftot(15) = Qmv- Qav
+ ftot(16) = Qpvn - Qmv
+ ftot(17) = Qtv - Qpv
+ ftot(18) = Qsvn - Qtv
+
+ !!! Aortic Valve !!!
+ ! Effective area of the valve
+ Aeff(1) = (v_cof%AV%Aeffmax - v_cof%AV%Aeffmin) * ksi_av + v_cof%AV%Aeffmin
+ ! Bernoulli resistance of the valve
+ B(1) = rho / (2 * Aeff(1) ** 2) * resist
+ ! Impedance of the valve
+ Z(1) = rho * v_cof%AV%Leff/Aeff(1)
+
+ ! Pressure-flow relations through valve
+ dpav = (plv - psas) * mmHg
+ ftot(1) = (dpav - B(1) * Qav * abs(Qav))/ Z(1)
+
+ if (dpav <= 0) then ! Valve closing
+ ftot(19) = ksi_av * v_cof%AV%Kvc * dpav
+ else ! Valve opening
+ ftot(19) = (1 - ksi_av) * v_cof%AV%Kvo * dpav
+ end if
+
+ !!! Mitral Valve !!!
+ Aeff(2) = (v_cof%MV%Aeffmax - v_cof%MV%Aeffmin) * ksi_mv + v_cof%MV%Aeffmin
+ B(2) = rho / (2 * Aeff(2) ** 2) * resist
+ Z(2) = rho * v_cof%MV%Leff / Aeff(2)
+
+ ! Pressure-flow relations through valve
+ dpmv = (pla-plv)*mmHg
+ ftot(8) = (dpmv-B(2)*Qmv*abs(Qmv) )/Z(2)
+
+ if (dpmv <= 0) then ! Valve closing
+ ftot(20) = ksi_mv*v_cof%MV%Kvc*dpmv
+ else ! Valve opening
+ ftot(20) = (1-ksi_mv)*v_cof%MV%Kvo*dpmv
+ end if
+
+
+ !!! Pulmonary Valve !!!
+ Aeff(3) = (v_cof%PV%Aeffmax-v_cof%PV%Aeffmin)*ksi_pv + v_cof%PV%Aeffmin
+ B(3) = rho/(2 * Aeff(3) ** 2)*resist
+ Z(3) = rho*v_cof%PV%Leff/Aeff(3)
+
+ ! pressure-flow relations through valve
+ dppv = (prv-ppas)*mmHg
+ ftot(5) = (dppv-B(3)*Qpv*abs(Qpv) )/Z(3) ! Qpv
+
+ if (dppv <= 0) then !valve closing
+ ftot(21) = ksi_pv*v_cof%PV%Kvc*dppv
+ else ! valve opening
+ ftot(21) = (1-ksi_pv)*v_cof%PV%Kvo*dppv ! ksi_pv
+ end if
+
+ !!! Tricuspic Valve !!!
+ Aeff(4) = (v_cof%TV%Aeffmax-v_cof%TV%Aeffmin)*ksi_tv + v_cof%TV%Aeffmin
+ B(4) = rho/(2*Aeff(4)**2)*resist
+ Z(4) = rho*v_cof%MV%Leff/Aeff(4)
+
+ ! pressure-flow relations through valve
+ dptv = (pra-prv)*mmHg
+ ftot(4) = (dptv-B(4)*Qtv*abs(Qtv) )/Z(4) !Qtv
+
+ if (dptv <= 0) then ! Valve closing
+ ftot(22) = ksi_tv*v_cof%TV%Kvc*dptv
+ else ! Valve opening
+ ftot(22) = (1-ksi_tv)*v_cof%TV%Kvo*dptv !ksi_tv
+ end if
+ end function solver
+end module funcs
diff --git a/src/inputs.f90 b/src/inputs.f90
new file mode 100644
index 0000000..e2ff356
--- /dev/null
+++ b/src/inputs.f90
@@ -0,0 +1,78 @@
+module inputs
+ ! Heart Input Declaration
+ use kind_parameter
+ use data_types
+ implicit none
+
+ private
+ public heart_input, artery_input
+
+contains
+
+ ! Gets the heart input
+ subroutine heart_input(LV, LA, RV, RA, T, scale_EmaxLV, scale_EmaxRV, scale_Emax)
+
+ ! Defines initial variables
+ real(dp), intent(in) :: T
+ real(dp), intent(in) :: scale_EmaxLV
+ real(dp), intent(in) :: scale_EmaxRV
+ real(dp), intent(in) :: scale_Emax
+
+ type (chamber), intent(inout) :: LV
+ type (chamber), intent(inout) :: LA
+ type (chamber), intent(inout) :: RV
+ type (chamber), intent(inout) :: RA
+
+ ! Left Ventricle
+ LV%Emax = LV%Emax * scale_EmaxLV
+ LV%tau1 = LV%tau1 * T
+ LV%tau2 = LV%tau2 * T
+
+ ! Left Atrium
+ LA%Emax = LA%Emax * scale_Emax
+ LA%tau1 = LA%tau1 * T
+ LA%tau2 = LA%tau2 * T
+ LA%onset = LA%onset * T
+
+ ! Right Ventricle
+ RV%Emax = RV%Emax * scale_EmaxRV
+ RV%tau1 = RV%tau1 * T
+ RV%tau2 = RV%tau2 * T
+
+ ! Right Atrium
+ RA%Emax = RA%Emax * scale_Emax
+ RA%tau1 = RA%tau1 * T
+ RA%tau2 = RA%tau2 * T
+ RA%onset = RA%onset * T
+
+ end subroutine heart_input
+
+ ! Gets the artery input
+ subroutine artery_input(sys, pulm, scale_Rsys, scale_Csys, scale_Rpulm, scale_Cpulm)
+
+ ! Declare inputs
+ type (arterial_system), intent(inout) :: sys, pulm
+ real(dp), intent(in) :: scale_Rsys, scale_Csys, scale_Rpulm, scale_Cpulm
+
+ ! Systemic system
+ sys%Ras = sys%Ras * scale_Rsys
+ sys%Rat = sys%Rat * scale_Rsys
+ sys%Rar = sys%Rar * scale_Rsys
+ sys%Rcp = sys%Rcp * scale_Rsys
+
+ sys%Cas = sys%Cas * scale_Csys
+ sys%Cat = sys%Cat * scale_Csys
+ sys%Cvn = sys%Cvn * scale_Csys
+
+ ! Pulmonary system
+ pulm%Ras = pulm%Ras * scale_Rpulm
+ pulm%Rat = pulm%Rat * scale_Rpulm
+ pulm%Rar = pulm%Rar * scale_Rpulm
+ pulm%Rcp = pulm%Rcp * scale_Rpulm
+
+ pulm%Cas = pulm%Cas * scale_Cpulm
+ pulm%Cat = pulm%Cat * scale_Cpulm
+ pulm%Cvn = pulm%Cvn * scale_Cpulm
+
+ end subroutine artery_input
+end module inputs
diff --git a/src/kind_parameter.f90 b/src/kind_parameter.f90
new file mode 100644
index 0000000..61b8039
--- /dev/null
+++ b/src/kind_parameter.f90
@@ -0,0 +1,22 @@
+!> Numerical storage size parameters for real and integer values
+module kind_parameter
+ implicit none
+ public
+
+ !> Single precision real numbers, 6 digits, range 10⁻³⁷ to 10³⁷-1; 32 bits
+ integer, parameter :: sp = selected_real_kind(6, 37)
+ !> Double precision real numbers, 15 digits, range 10⁻³⁰⁷ to 10³⁰⁷-1; 64 bits
+ integer, parameter :: dp = selected_real_kind(15, 307)
+ !> Quadruple precision real numbers, 33 digits, range 10⁻⁴⁹³¹ to 10⁴⁹³¹-1; 128 bits
+ integer, parameter :: qp = selected_real_kind(33, 4931)
+
+ !> Char length for integers, range -2⁷ to 2⁷-1; 8 bits
+ integer, parameter :: i1 = selected_int_kind(2)
+ !> Short length for integers, range -2¹⁵ to 2¹⁵-1; 16 bits
+ integer, parameter :: i2 = selected_int_kind(4)
+ !> Length of default integers, range -2³¹ to 2³¹-1; 32 bits
+ integer, parameter :: i4 = selected_int_kind(9)
+ !> Long length for integers, range -2⁶³ to 2⁶³-1; 64 bits
+ integer, parameter :: i8 = selected_int_kind(18)
+
+end module kind_parameter