Whole-plant modelling: A continuous-time Markov (CTM) approach

Abstract Continuous-time Markov (CTM) mathematics can provide a standardized method to describe plant metabolism responses to multiple resource inputs. The utility of CTM techniques is demonstrated by a simple plant growth model with three resources (light, water and nutrients). Simple model response curves are presented that describe instantaneous growth rate in relation to light intensity, water, nutrients and biomass. The effects of varying resource use and tolerance on optimum growth are investigated using a Fermi-Dirac distribution function. The CTM approach to plant metabolism and growth is compared and contrasted to compartmental analysis and to King-Altman enzyme-kinetic techniques.