Analysis of double-substrate limited growth

Analysis of double-substrate limited growth.

Mathematical models which relate the growth rate of a microorganism to a single limiting substrate concentration have long been established. In recent years, it has become apparent that, under certain conditions, the growth rate of an organism may be simultaneously limited by two or more substrates. Mathematical models of double-substrate limitation fall into two categories: interactive and non...

Analysis of Planar Diodes in Temperature Limited Region

The ideal analysis of planar diodes in Temperature Limited Region is presented. Two types of relations are obtained for electric potential and electric field distributions one accurate but implicit and the other almost accurate but explicit.

LIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING

In this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of Routh harvest stability analysis. The problem of determining the optimal harvestpolicy is solved by invoking Pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...

Comparative analysis of some models of mixed-substrate microbial growth

Mixed-substrate microbial growth is among the most intensely studied systems in molecular microbiology. Several mathematical models have been developed to account for the genetic regulation of such systems, especially those resulting in diauxic growth. In this work, we compare the dynamics of three such models (Narang, Biotech. Bioeng., 59, 116, 1998; Thattai&Shraiman, Biophys. J, 85, 744, 2003...

Substrate-limited electron dynamics in graphene