A mathematical model describing the effect of temperature and substrate concentration on the activities of M4 and H4 lactate dehydrogenase from the big brown bat (Eptesicus fuscus)

The effect of temperature on the activities of M₄ and H₄ lactate dehydrogenases (LDH, EC 1.1.1.27) isolated from the big brown bat (Eptesicus fuscus) was examined. Temperature effects were dependent on the concentrations of all four LDH substrates, pyruvate, lactate, NADH, and NAD. Arrhenius plots of In v_i vs reciprocal of absolute temperature were linear for all but the lowest substrate concentrations. The slopes of these Arrhenius plots were used to calculate the temperature effect parameter (μ). Substrate-dependent temperature effects for M₄ and H₄ LDH were described by an equation for a rectangular hyperbola, $\text{μ =}\text{[E}{}_{\mathrm{\beta }}\text{S + E}{}_{\mathrm{\alpha }}\text{K}{}_{\mathrm{t}}\text{]}\text{[K}{}_{\mathrm{t}}\text{+ S]}$ proposed by G. R. Harbison and J. R. Fisher (1974, Comp. Biochem. Physiol.47B, 27–32) for adenosine deaminase. The parameters E_α (μ at infinitely low substrate concentration), E_β (μ at infinitely high substrate concentration), and K_t (the concentration of substrate when $\text{μ =}\text{[E}{}_{\mathrm{\alpha }}\text{+ E}{}_{\mathrm{\beta }}\text{]}\text{2}$) can be used to describe the temperature dependence of LDH activity at any substrate concentration and to compare the substrate-dependent temperature effects on the two isoenzymes. Significantly different E_β and K_t values for pyruvate-dependent temperature effects and different E_β, E_α, K_t, and E_β ? E_α (the range of possible μ values) for lactate-dependent temperature effects were found between M₄ and H₄ LDH isoenzymes. High lactate concentrations inhibited bat H₄ LDH activity to a greater degree at low temperatures than at high temperatures. Thus substrate inhibition plays an important role in the effect of temperature on the activity of H-type LDH at high lactate concentrations. Substrate-dependent temperature effects on bat LDH activity were the result of temperature effects on the apparent K_m value of the respective substrate. Since both the apparent K_m for pyruvate and the K_i for the competitive inhibitor oxamate decreased with decreasing temperature, the substrate-dependent temperature effects observed for pyruvate probably resulted from an increased affinity between pyruvate and the LDH-NADH complex with decreasing temperature.