Towards mechanistic models of plant organ growth

Modelling and simulation are increasingly used as tools in the study of plant growth and developmental processes. By formulating experimentally obtained knowledge as a system of interacting mathematical equations, it becomes feasible for biologists to gain a mechanistic understanding of the complex behaviour of biological systems. In this review, the modelling tools that are currently available and the progress that has been made to model plant development, based on experimental knowledge, are described. In terms of implementation, it is argued that, for the modelling of plant organ growth, the cellular level should form the cornerstone. It integrates the output of molecular regulatory networks to two processes, cell division and cell expansion, that drive growth and development of the organ. In turn, these cellular processes are controlled at the molecular level by hormone signalling. Therefore, combining a cellular modelling framework with regulatory modules for the regulation of cell division, expansion, and hormone signalling could form the basis of a functional organ growth simulation model. The current state of progress towards this aim is that the regulation of the cell cycle and hormone transport have been modelled extensively and these modules could be integrated. However, much less progress has been made on the modelling of cell expansion, which urgently needs to be addressed. A limitation of the current generation models is that they are largely qualitative. The possibilities to characterize existing and future models more quantitatively will be discussed. Together with experimental methods to measure crucial model parameters, these modelling techniques provide a basis to develop a Systems Biology approach to gain a fundamental insight into the relationship between gene function and whole organ behaviour.     

Sugars, signalling, and plant development

Like all organisms, plants require energy for growth. They achieve this by absorbing light and fixing it into a usable, chemical form via photosynthesis. The resulting carbohydrate (sugar) energy is then utilized as substrates for growth, or stored as reserves. It is therefore not surprising that modulation of carbohydrate metabolism can have profound effects on plant growth, particularly cell division and expansion. However, recent studies on mutants such as stimpy or ramosa3 have also suggested that sugars can act as signalling molecules that control distinct aspects of plant development. This review will focus on these more specific roles of sugars in development, and will concentrate on two major areas: (i) cross-talk between sugar and hormonal signalling; and (ii) potential direct developmental effects of sugars. In the latter, developmental mutant phenotypes that are modulated by sugars as well as a putative role for trehalose-6-phosphate in inflorescence development are discussed. Because plant growth and development are plastic, and are greatly affected by environmental and nutritional conditions, the distinction between purely metabolic and specific developmental effects is somewhat blurred, but the focus will be on clear examples where sugar-related processes or molecules have been linked to known developmental mechanisms.     

Plant-associated Pseudomonas populations: molecular biology, DNA dynamics, and gene transfer

Bacteria of the genus Pseudomonas are usual colonizers of plant leaves, roots, and seeds, establishing at relatively high cell densities on plant surfaces, where they aggregate and form microcolonies similar to those observed during biofilm development on abiotic surfaces. These plant-associated biofilms undergo chromosomal rearrangements and are hot spots for conjugative plasmid transfer, favored by the close proximity between cells and the constant supply of nutrients coming from the plant in the form of exudates or leachates. The molecular determinants known to be involved in bacterial colonization of the different plant surfaces, and the mechanisms of horizontal gene transfer in plant-associated Pseudomonas populations are summarized in this review.     

Using L-systems for modeling source-sink interactions, architecture and physiology of growing trees: the L-PEACH model

Functional-structural plant models simulate the development of plant structure, taking into account plant physiology and environmental factors. The L-PEACH model is based on the development of peach trees. It demonstrates the usefulness of L-systems in constructing functional-structural models. L-PEACH uses L-systems both to simulate the development of tree structure and to solve differential equations for carbohydrate flow and allocation. New L-system-based algorithms are devised for simulating the behavior of dynamically changing structures made of hundreds of interacting, time-varying, nonlinear components. L-PEACH incorporates a carbon-allocation model driven by source-sink interactions between tree components. Storage and mobilization of carbohydrates during the annual life cycle of a tree are taken into account. Carbohydrate production in the leaves is simulated based on the availability of water and light. Apices, internodes, leaves and fruit grow according to the resulting local carbohydrate supply. L-PEACH outputs an animated three-dimensional visual representation of the growing tree and user-specified statistics that characterize selected stages of plant development. The model is applied to simulate a tree's response to fruit thinning and changes in water stress. L-PEACH may be used to assist in horticultural decision-making processes after being calibrated to specific trees.     

Comparison of three approaches to model grapevine organogenesis in conditions of fluctuating temperature, solar radiation and soil water content

Background and Aims

There is increasing interest in the development of plant growth models representing the complex system of interactions between the different determinants of plant development. These approaches are particularly relevant for grapevine organogenesis, which is a highly plastic process dependent on temperature, solar radiation, soil water deficit and trophic competition.

Methods

The extent to which three plant growth models were able to deal with the observed plasticity of axis organogenesis was assessed. In the first model, axis organogenesis was dependent solely on temperature, through thermal time. In the second model, axis organogenesis was modelled through functional relationships linking meristem activity and trophic competition. In the last model, the rate of phytomer appearence on each axis was modelled as a function of both the trophic status of the plant and the direct effect of soil water content on potential meristem activity.

Key Results

The model including relationships between trophic competition and meristem behaviour involved a decrease in the root mean squared error (RMSE) for the simulations of organogenesis by a factor nine compared with the thermal time-based model. Compared with the model in which axis organogenesis was driven only by trophic competition, the implementation of relationships between water deficit and meristem behaviour improved organogenesis simulation results, resulting in a three times divided RMSE. The resulting model can be seen as a first attempt to build a comprehensive complete plant growth model simulating the development of the whole plant in fluctuating conditions of temperature, solar radiation and soil water content.

Conclusions

We propose a new hypothesis concerning the effects of the different determinants of axis organogenesis. The rate of phytomer appearance according to thermal time was strongly affected by the plant trophic status and soil water deficit. Futhermore, the decrease in meristem activity when soil water is depleted does not result from source/sink imbalances.     

Plant architecture: a dynamic, multilevel and comprehensive approach to plant form, structure and ontogeny

BACKGROUND AND AIMS: The architecture of a plant depends on the nature and relative arrangement of each of its parts; it is, at any given time, the expression of an equilibrium between endogenous growth processes and exogenous constraints exerted by the environment. The aim of architectural analysis is, by means of observation and sometimes experimentation, to identify and understand these endogenous processes and to separate them from the plasticity of their expression resulting from external influences. SCOPE: Using the identification of several morphological criteria and considering the plant as a whole, from germination to death, architectural analysis is essentially a detailed, multilevel, comprehensive and dynamic approach to plant development. Despite their recent origin, architectural concepts and analysis methods provide a powerful tool for studying plant form and ontogeny. Completed by precise morphological observations and appropriated quantitative methods of analysis, recent researches in this field have greatly increased our understanding of plant structure and development and have led to the establishment of a real conceptual and methodological framework for plant form and structure analysis and representation. This paper is a summarized update of current knowledge on plant architecture and morphology; its implication and possible role in various aspects of modern plant biology is also discussed.     

Floral organ identity genes in the orchid Dendrobium crumenatum

Orchids are members of Orchidaceae, one of the largest families in the flowering plants. Among the angiosperms, orchids are unique in their floral patterning, particularly in floral structures and organ identity. The ABCDE model was proposed as a general model to explain flower development in diverse plant groups, however the extent to which this model is applicable to orchids is still unknown. To investigate the regulatory mechanisms underlying orchid flower development, we isolated candidates for A, B, C, D and E function genes from Dendrobium crumenatum. These include AP2-, PI/GLO-, AP3/DEF-, AG- and SEP-like genes. The expression profiles of these genes exhibited different patterns from their Arabidopsis orthologs in floral patterning. Functional studies showed that DcOPI and DcOAG1 could replace the functions of PI and AG in Arabidopsis, respectively. By using chimeric repressor silencing technology, DcOAP3A was found to be another putative B function gene. Yeast two-hybrid analysis demonstrated that DcOAP3A/B and DcOPI could form heterodimers. These heterodimers could further interact with DcOSEP to form higher protein complexes, similar to their orthologs in eudicots. Our findings suggested that there is partial conservation in the B and C function genes between Arabidopsis and orchid. However, gene duplication might have led to the divergence in gene expression and regulation, possibly followed by functional divergence, resulting in the unique floral ontogeny in orchids.     

Cell-to-cell communication via plasmodesmata during Arabidopsis embryogenesis

In Arabidopsis embryogenesis, positional information establishes the overall body plan and lineage-dependent cell fate specifies local patterning. Position-dependent gene expression and responses to the plant hormone auxin are also crucial. Recently, another mechanism that delivers positional information has been uncovered. This pathway utilizes cell-to-cell communication via plasmodesmata. Plasmodesmata span the walls between neighboring plant cells. Groups of cells that allow intercellular transport of biotic and abiotic tracers form symplastic domains of shared communication. Initially, cells of the embryo form one symplast. As development proceeds, symplastic sub-domains that correspond to the major morphological regions of the plant (i.e. shoot apex, cotyledons, hypocotyl, and root) are formed. These sub-domains further resolve into tissue-specific domains of communication (such as protodermal and vascular regions). Cell-to-cell communication via plasmodesmata between embryonic and maternal tissues ceases as development proceeds.     

Process performance models in the optimization of multiproduct protein production plants

In this work we propose a model that simultaneously optimizes the process variables and the structure of a multiproduct batch plant for the production of recombinant proteins. The complete model includes process performance models for the unit stages and a posynomial representation for the multiproduct batch plant. Although the constant time and size factor models are the most commonly used to model multiproduct batch processes, process performance models describe these time and size factors as functions of the process variables selected for optimization. These process performance models are expressed as algebraic equations obtained from the analytical integration of simplified mass balances and kinetic expressions that describe each unit operation. They are kept as simple as possible while retaining the influence of the process variables selected to optimize the plant. The resulting mixed-integer nonlinear program simultaneously calculates the plant structure (parallel units in or out of phase, and allocation of intermediate storage tanks), the batch plant decision variables (equipment sizes, batch sizes, and operating times of semicontinuous items), and the process decision variables (e.g., final concentration at selected stages, volumetric ratio of phases in the liquid-liquid extraction). A noteworthy feature of the proposed approach is that the mathematical model for the plant is the same as that used in the constant factor model. The process performance models are handled as extra constraints. A plant consisting of eight stages operating in the single product campaign mode (one fermentation, two microfiltrations, two ultrafiltrations, one homogenization, one liquid-liquid extraction, and one chromatography) for producing four different recombinant proteins by the genetically engineered yeast Saccharomyces cerevisiae was modeled and optimized. Using this example, it is shown that the presence of additional degrees of freedom introduced by the process performance models, with respect to a fixed size and time factor model, represents an important development in improving plant design.     

Light perception in plant disease defence signalling

Light is a predominant factor in the control of plant growth, development and stress responses. Many biotic stress responses in plants are therefore specifically adjusted by the prevailing light conditions. The plant cell is equipped with sophisticated light-sensing mechanisms that are localised inside and outside of the chloroplast and the nucleus. Recent progress has provided models of how the signalling pathways that are involved in light perception and in defence could operate and interact to form a plant defence network. Such a signalling network includes systems to sense light and regulate gene expression. Photo-produced H(2)O(2) and other reactive oxygen species in the cell also play an essential role in this regulatory network, controlling biotic and abiotic stress responses.     

植物叶发育调控机理研究的进展

在植物的营养生长阶段,叶原基从植物地上部分顶端分生组织的周边区形成,在一系列细胞分裂和分化程序的指导下,最终发育成叶。近年来,通过遗传学和分子生物学研究已经鉴定和克隆了一批参与叶发育调控的关键基因,植物激素在叶原基的诱导和叶形态建成中也起十分重要的作用。目前这个领域的主要研究工作是鉴定调控叶发育的新基因并且解释叶调控基因之间的相互作用,同时了解基因调控和植物激素作用之间的关系。     

植物叶发育调控机理研究的进展

在植物的营养生长阶段,叶原基从植物地上部分顶端分生组织的周边区形成,在一系列细胞分裂和分化程序的指导下,最终发育成叶。近年来,通过遗传学和分子生物学研究已经鉴定和克隆了一批参与叶发育调控的关键基因,植物激素在叶原基的诱导和叶形态建成中也起十分重要的作用。目前这个领域的主要研究工作是鉴定调控叶发育的新基因并且解释叶调控基因之间的相互作用,同时了解基因调控和植物激素作用之间的关系。