Some mathematical models of phloem transport. by Stephen Macey Ross

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A Mathematical Model of Phloem Sucrose Transport as a New Tool for Designing Rice Panicle Structure for High Grain Yield Motohide Seki1,*, Franc¸ois Gabriel Feugier1, Xian-Jun Song2, Motoyuki Ashikari2, Haruka Nakamura3, Keiki Ishiyama3, Tomoyuki Yamaya3, Mayuko Inari-Ikeda2, Hidemi Kitano2 and Akiko Satake1 1Faculty of Environmental Earth Science, Hokkaido University, N10W5.

Seki M, Feugier FG, Song XJ, Ashikari M, Nakamura H, Ishiyama K et al () A mathematical model of phloem sucrose transport as a new tool for designing rice panicle structure for high grain yield. Plant Cell Physiol – CrossRef Google ScholarAuthor: Motohide Seki. The collection explores techniques that have been used for decades, such as tracing phloem transport with carbon isotopes, as well as recent developments, such as esculin-based assays of phloem transport and super-resolution microscopy of phloem proteins.

As such, the book presents the state-of-the-art in phloem research and, at the same time. A first model of steady-state phloem-only transport was presented as early as Minchin et al.

() on a simple structure containing a single source and two competing sinks. As such, the book presents the state-of-the-art in phloem research and, at the same time, a starting point for the development of new methods that will fill the remaining gaps in the phloem researcher’s toolbox in the future.

Using a Mathematical Model of Phloem Transport to Optimize Strategies for Crop Improvement. Pages Seki. The food in the form of sucrose is transported by the vascular tissue phloem.

Let us learn a bit more about phloem transport. The transportation occurs in the direction of the source to sink. Transport of organic solutes from one part of the plant to the other through phloem sieve tubes is called translocation of organic solvents.

Suggested Videos. Two kinetic models which are applied for the description of metal ion transport in polymer inclusion membrane (PIM) systems are presented and compared. The models were fitted to the real experimental data of Zn(II), Cd(II), Cu(II), and Pb(II) simultaneous transport through PIM with di-(2-ethylhexyl)phosphoric acid (D2EHPA) as a carrier, o-nitrophenyl octyl ether (NPOE) as a plasticizer.

In this review, theories used in phloem transport models have been applied to drought conditions, with the goal of shedding light on how phloem transport failure might occur. Mathematical versus statistical models: It is worth distinguishing between mathematical models and statistical models.

Mathematical models are usually constructed in a more “principle-driven” manner, e.g., by appealing to Fick’s Law to describe the rate of motion of a chemical diffusing in a stationary liquid.

ISBN: OCLC Number: Description: xxii, pages: illustrations ; 24 cm. Series Title: Series of books in biology (W.H. Freeman and. The derivation and elaboration of mathematical models of the physiological processes in plants and their application to problems in plant and crop physiology are described.

The topics covered include: light interception, primordial initiation, flowering and senescence, photosynthesis, respiration, growth, transport within the plant and assimilate partitioning. ISBN: OCLC Number: Description: xvii, pages: illustrations ; 25 cm: Series Title: Encyclopedia of.

by mathematical models, and such models may soon become requisites for describing the behaviour of cellular networks.

What this book aims to achieve Mathematical modelling is becoming an increasingly valuable tool for molecular cell biology. Con-sequently, it is important for life scientists to have a background in the relevant mathematical tech.

When WILHELM RUHLAND developed his plan for an Encyclopedia of Plant Physiol­ ogy more than three decades ago, biology could still be conveniently subdivided into classical areas. Even within plant physiology, subdivisions were not too difficult to make, and general principles could be covered.

The numerical properties of the model are discussed, as is the history of the modeling of pressure-driven phloem transport. Idealized results are presented for a sharp, fast-moving concentration front, and the effect of changing sieve tube length on the transport of sucrose in both the steady-state and non-steady-state cases is examined.

This book is in 3 parts. The 1st, which deals with structure/function relationships in the phloem, gives a detailed analysis of phloem structure, the mechanism of phloem transport, the phenomenon of phloem plugging and phloem exudation, and the 2nd part covers experimental results obtained in work on the transport of assimilates, plant hormones and exogenous substances.

Phloem transport is the process by which carbohydrates produced by photosynthesis in the leaves get distributed in a plant.

According to Münch, the osmotically generated hydrostatic phloem pressure is the force driving the long-distance transport of photoassimilates. Following Thompson and Holbrook[35]'s approach, we develop a mathematical model of. 1. Introduction. It is generally acknowledged that the hypothesis for osmotically driven phloem transport as put forth by Münch in the s can explain phloem sugar translocation (e.g., Minchin and Lacointe, ; Taiz and Zeiger, ).According to the hypothesis, the phloem consists of continuous pathways sieve tubes, whereby sugar loading to the source end of the transport structure.

Additional studies suggest that the Münch pressure-flow model of phloem transport may not apply at the whole-tree level (Young et al. ThompsonTurgeon ), raising the question of how trees sense turgor pressure differences between phloem loading and unloading sites over many meters, if at all (Thompson ).

The loading/unloading phloem transport model. We now return to the more general three-zone model of the phloem translocation pathway (figure 1).

We assume that the loading and unloading zones are of equal size (l 1 = l 3), that the concentration c is constant and equal to c 0 in the loading zone and that the concentration profile is. A mathematical model is a description of a system using mathematical concepts and process of developing a mathematical model is termed mathematical atical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such.

However, it is important to note that such challenges derive in large part from mathematical models of phloem transport in which the values of one or more of the key variables are unknown or poorly constrained (Tyree et al., ; Pickard and Abraham-Shrauner, ; Thompson and Holbrook, ; Hölttä et al., ).

The function of the plant’s vasculature, incorporating both phloem and xylem, is of fundamental importance to the survival of all higher plants. Although the physiological mechanism involved in these two transport pathways has been known for some time, quantitative modelling of this has been slow to develop.

1-D continuous models have shown that the proposed mechanisms are quantitatively. Based on these, we develop a minimal mathematical model of sugar transport in leaves, and use a constrained optimization to derive the optimal phloem geometry in a one-dimensional leaf.

Finally, we compare modelling with experimental results, and conclude by discussing the implications of our results for the study of conifers and plants in general. The model described here follows the concepts of Pritchard and colleagues (, ) in assuming a pressure-driven bulk flow of solution through the phloem to the region where phloem is beginning to be functional (1–4 mm from the apex; Fig.

Water movement can occur from both the surrounding soil and the developing phloem. There will be total 5 MCQ in this test. Please keep a pen and paper ready for rough work but keep your books away. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.

Question: Saved Complete The Following Statements That Describe The Steps In The Pressure-flow Model Of Phloem Transport. Then, Place The Steps In Order To Trace The Path Of Phloem From Source To Sink. Some Choices May Be Used More Than Once.

Mesophyll Drag The Text Blocks Below Into Their Correct Order. The next example is from Chapter 2 of the book Caste and Ecology in Social Insects, by G. Oster and E. Wilson [O-W]. We attempt to model how social insects, say a population of bees, determine the makeup of their society.

Let us write Tfor the length of the season, and introduce the variables w(t) = number of workers at time t q(t) = number. Plasmodesmata permit solutes to move between cells nonspecifically and without having to cross a membrane.

This symplastic connectivity, while straightforward to observe using fluorescent tracers, has proven difficult to quantify. We use fluorescence recovery after photobleaching, combined with a mathematical model of symplastic diffusion, to assay plasmodesmata-mediated permeability in the.

Abstract. It has been erroneously claimed (Goeschl et al. [] Plant Physiol. ) that concentration-dependent unloading is required for a correct mathematical solution for Münch phloem transport. Although it may prove to be physiologically correct, concentration-dependent unloading is not a mathematical necessity.

In the 80 years since its introduction by Münch, the pressure-driven mass-flow model of phloem translocation has become hegemonic, and has been mathematically modelled in many different fashions but not, to our knowledge, by one that incorporated the equations of hydrodynamics with those of osmosis and slice-source and slice-sink boundary conditions to yield a system that admits of an.

Phloem transport of herbicides has been assessed using the castor bean plant. For acids of pKa phloem transport, while weaker acids of pKa >5 and nonionized compounds need to be more polar in order to move well.

In mathematics and economics, transportation theory or transport theory is a name given to the study of optimal transportation and allocation of problem was formalized by the French mathematician Gaspard Monge in In the s A.N.

Tolstoi was one of the first to study the transportation problemin the collection Transportation Planning Volume I for. Complete the following statements that describe the steps in the pressure-flow model of phloem transport.

Then, place the steps in the correct order. Some choices may be used more than once. Drag the text blocks below into their correct order. The build-up of. The resistor model introduced in the present paper provides a framework for understanding many qualitative and quantitative features of long‐distance phloem transport observed in plants.

For example, the specific flow conductivity k (Eqn 8) was found to scale with plant height as (r 2 = ; N = 13; α RMA = ± ), for herbaceous. Throughout this book we assume that the principle of causality applies to the systems means that the current output of the system (the output at time t=0) depends on the past input (the input for t0).

Mathematical Models. Mathematical models may assume many different. Phloem fibres are thick walled cells which are usually grouped in a bundle. The major function of phloem fibres is to provide strength. In some species these act as storage cells.

Vascular Anatomy of Leaves. The vascular anatomy of the minor veins in leaves is especially important to an understanding of phloem transport. Phloem Definition. Phloem is the complex tissue, which acts as a transport system for soluble organic compounds within vascular plants.

The phloem is made up of living tissue, which uses turgor pressure and energy in the form of ATP to actively transport sugars to the plant organs such as the fruits, flowers, buds and roots; the other material that makes up the vascular plant transport.

In Arabidopsis roots, phloem unloading occurs exclusively from the protophloem, a short-lived tissue that is functional in the zone of root elongation (Oparka et al., ).Published images of phloem unloading in Arabidopsis give the impression that the unloading zone is a relatively broad region (Oparka et al., ; Wright and Oparka, ; Knoblauch et al., ).

Journal of the Society of Mathematical Biology “Most of the chapters, especially those outined in the second part of the book, can constitute whole monographs by themselves, and Keener and Sneyd have attempted to cover some of the fundamental modeling concepts within the respective areas.” Bulletin of Mathematical Biology, Reviews: 3.

Mathematical model for sugar transport in plants To rationalize the observed vein structure, we develop a simple model of one-dimensional sugar trans- port in a bundle of parallel phloem tubes based on the work of Horwitz [8] and Thompson and Holbrook.State that the phloem becomes hypotonic to the xylem due to active transport of sucrose out of the phloem.

State that water moves back into the xylem through osmosis. The solute within phloem sap that has moved towards sink are activement unloaded by companion cells .Applied Mathematical Models in Human Physiology is the only book available that analyzes up-to-date models of the physiological system at several levels of detail.

Some are simple “real-time” models that can be directly used in larger systems, while others are more detailed “reference” models that show the underlying physiological.

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