The name is absent



KINETICS ON THE MICROBIAL SCALE

49


Z = "ACTIVATED"

COUPLING ENZYME

( I )

Rt∙ + z =

(ZR)iti

(2)

Oi +(ZR)itl =

Z0it + Ri

(3)

zoitl+ p =

IZPi + oitl

(4) ZP} * ADP = Z t ATP + H2O

FIG. 4- A POSSIBLE MECHANISM FOR PHOSPHATE

FIXATION IN THE ELECTRON TRANSPORT

PATHWAY

algebra of the kinetic relations. Clearly we are going to end up with a
large number of parameters “to be determined" in the expressions we
will derive, simply because of the large number of reactions and elemen-
tary steps. The usual objective of “fitting the data to the theory” and
evaluating the constants is obviously out of the question. The best we
hope for is a set of equations which we can subject to certain tests.
These will necessarily be of the plausibility type, i. e., can we find a set
of physically meaningful parameters such that the mathematical system
is a reasonable model of the living system.

In Figure 5 I outline the procedure for obtaining the rate equation for

ALL SYMBOLS NOW REPRESENT CONCENTRATIONS


(THE K,∙j ARE EQUILIBRIUM CONSTANTS)

<f>i ∙^{'⅛0lΦij- b⅛(o*⅛)

THE fij ARE FORWARD
rate constantsithe
b*j ARE REVERSE RATE
CONSTANTS


*(J0bi.l E°. (CONSTANT 1

,Rl, ANOTHE CONSTANTS kij , 11 , Ц,,


(2) (rt)i .∑(fij(θJ)ijiRitl - bijRi (Jθ)ijit)

(⅞)j .∑uj(Jo)ijitl - bij(J)ij oitl I

AT STEADY STATE: (rι)i∙(⅞)∙ ( Γj )

CONSERVATION OF ENZYME i :(Ej) ♦     ),j •••

(3) r . f* (OiXRld) - b* (OjdXRi)

WHERE f*,b* ARE FUNCTIONS OF (Aj).(O). R .O1

FIG.5-RATE EQUATIONS ANO ALGEBRA FOR TYPICAL STEP IN A PATHWAY



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