Abstract. The paper presents a modified version of the mathematical model of the heavy metal transfer process. The changes start from the beliefs of the authors that the factors that govern the plant's evolution (germination, growth and vegetative development, senescence and death) are environmental factors (structure and chemical composition of soil and air, their humidity, soil pH, lighting, applied fertilization, meteorological events, etc.) and not the time. Time is an artificial parameter introduced to provide a simpler reporting of dynamic processes. We do not know if time has simplified, or if it kept the truth in reporting the results, but it is the most common parameter used for this purpose. Of the influential factors, only the temperature and the concentration of heavy metal ions in the soil are considered in this article. The paper presents simulations using minimal experimental data, model constants being obtained by calibration. Effects of increasing delay and triggering of the biomass descending process were achieved (phytoremediation also). The experiments required to increase the performance of the model, the theoretical and practical efficiency of such attempts are estimated. These appreciations allow readers to reflect, to try to estimate the theoretical and practical efficiency of such attempts.Keywords: plants, bioaccumulation, disease, models, simulation.
IntroductionThe paper presents a modified version of the mathematical model of the heavy metal transfer process developed in [1] and [2]. Mathematical models of heavy metal bioaccumulation are often simplified as much as possible to make them more intuitive, but also because the simple model requires less experimental data. The process of bioaccumulation of heavy metals in plants is a very complex one, which influences the physiological processes: feeding, development, quantity and quality of accumulated biomass, life span, etc. For these reasons, in this paper we have opted for a slightly more complex bioaccumulation model than, for example, in [3]. In turn, this model has been modified by introducing the influence factors that reflect the impact of the environmental factors to the plant life. This approach is in line with the authors' belief that time is not the parameter that makes the plant to evolve, but the effective control factors for the system: temperature, illumination, soil pH or development environment, environmental conductivity, rainfall regime, fertilization, etc. The environmental or management command factors can be expressed through a product with the role of introducing energy into the plant's bio-system, in various forms, energy harnessed by the plant by growth, generally by evolution (vegetative development). Besides these factors, there are other environmental factors that also provide energy elements that are likely to be unsuitable for the biosystem and which lead to nutritional deficiencies leading to slowing growth, various diseases, etc.The mathematical modelling of bioaccumulation of heavy metals aims both to k...