A SAAM31             033Mg.s             7/29/97
2        2  
C Ref: Sojka et al, Am. J. Physiol. Aug 1997
c Magnesium kinetics in adolescent girls determined using stable isotopes:  
C   Effects of high and low calcium intake  
C MODEL IS BASED ON AVIOLI AND BERMAN, J APPLIED PHYSIOL 21 1688 1966   
C This file fits oral(26Mg)and IV (25Mg)tracer administered while subjects were 
C  on 800 mg Ca/d.  
C VALUES ARE THE AVERAGE FOR A POPULATION OF FIVE GIRLS 
C AVERAGE PLASMA DATA ARE SHOWN FOR EACH TRACER 
C (AVERAGE DATA ARE NOT INCLUDED FOR URINE AND FECES)   
C COMPARTMENTS 1 AND 11 ARE PLASMA  
C COMPARTMENTS 4 AND 14 ARE URINE   
C COMPARTMENTS 9 AND 19 ARE FECES   
C ************************ IV tracer
C COMPARTMENTS 1 THROUGH 9 ARE IV tracer 25MG ON 800 MG CA/D
H DAT   
C DOSE (100%) INFUSED AFTER 1 HR, OVER 4 MIN (25%/MIN OR 1500/HR)   
XUF(1)=1500*F(6)*(1-P(4))   
C P(4) IS FRACTION OF IV DOSE THAT GOES RAPIDLY TO URINE
XUF(4)=1500*F(6)*P(4)   
C COMPARTMENT 6 IS USED TO TURN THE INFUSION ON AFTER 1 HR AND OFF AFTER 4 MIN  
106QO   
            0.  
            1.            1.
            1.0667        0.
C C70 IS CHECK THAT 100% of tracer is infused   
XUF(70)=UF(1)   
170 
            0.  
2           1                            3  
H PAR   
   IC(1)    0.0 
   P(4)      5.600000E-02   
   L(2,1)    5.00000E-01
   L(1,2)    2.100000E-01   
   L(3,1)    3.300000E-01   
   L(1,3)    2.200000E-02   
   L(5,3)    3.300000E-03   
C NB. VALUE OF L(3,5) IN AVIOLI & BERMAN PAPER IS ESTIMATED TO BE 6.4E-4/HR 
   L(3,5)    0.000000E+00   
   L(4,1)    1.600000E-02   
   L(9,1)    2.000000E-03   
   L(1,8)    6.800000E-02   
   L(10,8)   8.00000E-02
   L(9,10)   2.200000E-01   
C P1 is volume of distribution of C1
   P(1)      1.271000E+01   
C P2 is average serum Mg in mg/dL.  
   P(2)     2.11
C P3 is volume of distribution of C3 (FROM AVIOLI AND BERMAN)   
   P(3)     126 
C **************************************** ORAL TRACER (26Mg)   
C COMPARTMENTS 11 THROUGH 19 ARE 26MG   
H DAT   
C ORAL DOSE APPEARS AFTER A DELAY of about 1 hour   
117QO   
            0.  
            1.            100   
H PAR   
   IC(17)   0.0 
   L(11,18)=L(1,8)  
   L(20,18)=L(10,8) 
   L(19,20)=L(9,10) 
   L(18,17)  1.000000E+03   
   L(14,11)=L(4,1)  
   L(12,11)=L(2,1)  
   L(11,12)=L(1,2)  
   L(13,11)=L(3,1)  
   L(15,13)=L(5,3)  
   L(13,15)=L(3,5)  
   L(11,13)=L(1,3)  
   L(19,11)=L(9,1)  
C +++++++++++++++++++++++   
H STE   
C P(2) IS SERUM MG (MG/DL), AND THE MASS IS IN MILLIGRAMS   
   M(1) = P(2) * 10 * P(1)  
   U(1)      1.163826E+01                1E2
C DIETARY MG INTAKE AVERAGED 305 MG/DAY, OR 12 MG/HR
   U(8)      1.270000E+01   
C   
H DAT   
C P(1) IS INITIAL VOLUME OF DISTRIBUTION IN LITERS  
C G(1) TO G(4) IS PLASMA ISOTOPE
XG(1) = F(1)/P(1)   
XG(11) = F(11)/P(1) 
XG(3) =(F(1)/p(1)) + F(3)/P(3)  
C G(32) IS FRACTION ABSORBED
XG(32)= L(1,8)/(L(1,8)+L(10,8)) 
C  G(33) AND G(34) ARE BALANCE  
XG(33)=U(8)-R(10,8)-R(9,1)-R(4,1)   
XG(34)=R(5,3)-U(1)  
C G(35) IS RATE OF ABSORPTION (MG/D)
XG(35)=G(32)*U(8)*24
C G(36) IS ENDOGENOUS EXCRETION (MG/D)  
XG(36)=R(9,1)*24
C G(37) IS URINE EXCRETION (MG/D)   
XG(37)=R(4,1)*24
C G(38) IS FECAL (MG/D) 
XG(38)=(R(9,10)+R(9,1))*24  
C G(39) IS BALANCE (MG/D)   
XG(39)=G(33)*24 
C SIMULATIONS   
101G(1) 
            2.  
2           .5                           20 
103G(3) 
            0.0 
2           1.                           24 
2           12.                          24 
104F(4) 
            0.0 
2           1.                           24 
2           12.                          24 
109F(9) 
            0.  
2           12                           16 
111G(11)
            2.  
2           .5                           20 
114F(14)
            0.  
2           1                            24 
2           12                           24 
119F(19)
            0.  
2           1                            24 
2           12                           24 
C   
100 
   G(32)
   G(33)
   G(34)
   G(35)
   G(36)
   G(37)
   G(38)
   G(39)
110 
   U(1) 
   U(8) 
   M(1) 
   M(2) 
   M(3) 
   M(5) 
   R(1,8)   
   R(2,1)   
   R(3,1)   
   R(5,3)   
   R(4,1)   
   R(10,8)  
   R(9,1)   
C *******END OF MODEL *******************************   
C AVDATA
C Mg intake was 240 mg/d
C Av urine was 94 mg Mg/day 
C Av fecal was 250 mg Mg/day
C Urine and feces Mg is in mg/day converted to mg/h 
H DAT   
120                       /24            FSD=1  
   U(8)                   240.  
   R(4,1)                 94.   
120                                      FSD=1  
   G(38)                  250.  
C UNITS: TIME(HOURS) Q0(% OF DOSE/  
C  CUMULATIVE % DOSE URINE, FECES)  
C 26 Mg data /.87 because the dose was 87% enriched with 26Mg   
C 800 MG CA/D   
C BLOOD 25 MG (800 MG CA)   
C VALUES ARE MEAN (SE)  
101G(1)     +1                           FSD=0.2
            0.083         8.865 
            0.167         4.292 
            0.36          3.951 
            0.52          4.475 
            1.            3.355 
            1.5           2.589 
            2.0           1.955 
            3.            1.775 
            4.            1.170 
            7.            0.815 
            10.           0.584 
            24.           0.501 
            31.           0.371 
            48.           0.384 
            72.           0.348 
            120.          0.222 
            168.          0.213 
            212.          0.200 
            259.          0.194 
            308.          0.136 
C BLOOD 26MG (800 MG/D CA)  
111G(11)    +1             /0.87         FSD=.2 
            0.083         0.228 
            0.167         0.147 
            0.36          0.152 
            0.52          0.193 
            1.            0.214 
            1.5           0.262 
            2.            0.312 
            3.            0.383 
            4.            0.360 
            7.            0.350 
            10.           0.302 
            24.           0.199 
            31.           0.163 
            48.           0.161 
            72.           0.135 
            120.          0.114 
            168.          0.089 
            212.          0.063 
            260.          0.059 
            308.          0.061 
C **** END OF AVERAGE DATA *******