A Model of the Regulation of Nitrogenase Electron Allocation in Legume Nodules (I. The Diffusion Barrier and H2 Inhibition of N2 Fixation).
A mathematical model is presented to explain the regulation of nitrogenase electron allocation to N2 fixation (EAC) in legume nodules. The model is based on two assumptions: (a) that H2 inhibits N2 fixation in a competitive manner; and (b) that O2, H2, and N2 move into and out of nodules by diffusion and their movement is impeded by a diffusion barrier, the permeability of which is controlled to maintain a very low infected cell O2 concentration. When the model was used to simulate nodules displaying a range of values for total nitrogenase activity (TNA), maximum EAC values were predicted to be between 0.69 and 0.71, and a negative correlation was predicted to exist between EAC and TNA. These predictions were in good agreement with empirically derived values reported in the literature and support the suggestion that H2 inhibition of N2 fixation is a major determinant in the regulation of nitrogenase EAC in legume nodules. Two versions of the model were constructed. A closed-pore model assumed that the diffusion barrier consisted of a solid shell of water of variable thickness in the nodule cortex. An open-pore model assumed that a small number of gas-filled intercellular spaces connected the nodule central zone with the root atmosphere and these pores were opened or closed by water to provide variations in the nodule's permeability to gas diffusion. Because of differences in the diffusivity of gases in the gaseous and aqueous phases, the model predicted that, at a given infected cell O2 concentration, an open-pore diffusion barrier would result in less H2 accumulation in the infected cells than a closed-pore diffusion barrier. Therefore, the model may be used to test specific hypotheses about the physical structure of the barrier to gas diffusion in legume nodules.