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Project-Team Virtual Plants Modeling Plant Morphogenesis from Genes To INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE Project-Team Virtual Plants Modeling plant morphogenesis from genes to phenotype Sophia Antipolis THEME BIO c t i v it y ep o r t 2005 Table of contents 1. Team 1 2. Overall Objectives 2 2.1. Overall Objectives 2 3. Scientific Foundations 2 3.1. Analysis of structures resulting from meristem activity 2 3.2. Meristem functioning and development 3 3.3. A software platform for plant modeling 4 4. New Results 4 4.1. Analysis of structures resulting from meristem activity 4 4.1.1. Analysis of longitudinal count data and underdispersion 4 4.1.2. Growth synchronism between Aerial and Root Systems 4 4.1.3. Changes in branching structures within the whole plants 5 4.1.4. Growth components in trees 5 4.1.5. Markov switching models 5 4.1.6. Diagnostic tools for hidden Markovian models 5 4.1.7. Hidden Markov tree models for investigating physiological age within plants 6 4.1.8. Branching processes for plant development analysis 6 4.1.9. Self-similarity in plants 6 4.1.10. Reconstruction of plant foliage density from photographs 6 4.1.11. Fractal analysis of plant geometry 6 4.1.12. Light interception by canopy 7 4.1.13. Heritability of architectural traits 7 4.2. Meristem functioning and development 8 4.2.1. 3D surface reconstruction and cell lineage detection in shoot meristems 8 4.2.2. Simulation of auxin fluxes in the mersitem 8 4.2.3. Dynamic model of phyllotaxy based on auxin fluxes 8 4.2.4. Modeling axillary root initiation 8 4.3. A software platform for plant modeling 9 5. Other Grants and Activities 10 5.1. National Grants 10 5.1.1. New interfaces of mathematics ACI grant: Arborescences 10 5.1.2. ANR NatSim Grant 10 5.1.3. ANR CarpVirtuel Grant 10 5.1.4. ATP CIRAD Meristem Grant 11 5.2. UE Grants 11 5.2.1. RTN SY-STEM Grant 11 5.3. International Bilateral Relations 12 6. Dissemination 12 6.1. Services to the scientific community 12 6.2. Academic teaching 12 6.2.1. Master Biostatistics 12 6.2.2. Master Computer Science 12 6.2.3. Master Biotraçabilité, Biodétection, Biodiversité 12 6.2.4. ALEA training school 13 6.2.5. Master Course 13 6.2.6. Statistics Courses 13 6.3. Participation to workshops, seminars and miscellaneous invitations 13 2 Activity Report INRIA 2005 6.4. Theses and Internships 13 6.4.1. Theses defenses 13 6.4.2. Ongoing Theses 14 6.4.3. Internships 14 7. Bibliography 14 1. Team Head of project-team Christophe Godin [DR, INRIA detached from CIRAD from November 2002, CIRAD from November 2005, site : CIRAD Montpellier] Vice-head of project-team Yann Guédon [DR, CIRAD, site : CIRAD Montpellier] Research scientists Yves Caraglio [CR, CIRAD, site : CIRAD Montpellier] Evelyne Costes [CR, INRA, site : INRA Montpellier] Jean-Baptiste Durand [MCF, ENSIMAG, site : ENSIMAG Grenoble] Patrick Heuret [CR, INRA, site : CIRAD Montpellier] Christophe Pradal [CR, CIRAD, site : CIRAD Montpellier] Associated research scientists Pascal Ferraro [MC, Labri, Université de Bordeaux I, site : Labri Bordeaux] Christian Jay-Allemand [PR, Université Montpellier II, site : IRD Montpellier] Laurent Laplaze [CR, IRD, site: IRD Montpellier] Christian Lavergne [PR, Université Montpellier III, site : Université Montpellier III] Christophe Perrin [CR, CIRAD, site: CIRAD Montpellier] Catherine Trottier [MCF, Université Montpellier III, site: Université Montpellier III] Hervé Sinoquet [DR, INRA, site: Clermont-Ferrand] Jan Traas [DR, INRA, site: ENS Lyon] Post-doctoral fellows Carine Véra [ASC, INRA, site: CIRAD Montpellier] Michael Renton [INRA, site: INRA Montpellier] Ph. D. students Pierre Barbier de Reuille [ASC INRA grant from October 2002, Université Montpellier II, site: Université Montpellier II] Florence Chaubert [MESR grant and Monitorat grant from October 2005, Université Montpellier II, site: CIRAD Montpellier] David Da Silva [MESR grant and Monitorat grant from October 20005, Université Montpellier II, site: CIRAD Montpellier] Mikaël Lucas [ENS grant and Monitorat grant from October 20005, Université Montpellier II, site: IRD Montpellier] Szymon Stoma [European Marie Curie network grant from October 2005, project SY-STEM, Université Montpellier II, site: CIRAD Montpellier] Graduate students interns Loïc Clavino [Graduate student intern from University Montpellier II, CIRAD Allowance, from the 1st, July 2005 until the 31th, December 2005, site : CIRAD Montpellier] David Da Silva [Graduate student intern from University Montpellier II, INRIA Allowance, from the 1st March 2005 until the 30th September 2005, site: CIRAD Montpellier] Mikaël Lucas [Graduate student intern from University Montpellier II, ENS Allowance, from the 17th January until the 15th July 2005, site: IRD Montpellier] Tessa Pierre-Joseph [Graduate student intern from University Montpellier II, CIRAD Allowance, from the 14th February until the 24th June 2004, site: CIRAD Montpellier] 2 Activity Report INRIA 2005 2. Overall Objectives 2.1. Overall Objectives The Virtual Plants team is a joint team between INRIA, CIRAD and INRA. It is located in Montpellier. The long-term focus of the project is to study plant development and its control by genetic processes. Plants are branching living organisms that develop throughout their lifetimes. Organs are created by small embryogenetic regions at the tip of each axis, called apical meristems. In the project Virtual Plants, we are interested in studying plant apical meristem functioning and development. We believe that a detailed analysis of apical meristem processes, based on advanced mathematical and computational methods and tools, will lead us to get a deeper and better understanding of plant development. This study is performed from two complementary perspectives: • First, at a macroscopic level, we develop an extensive methodology to analyze the structures produced by meristems. This can be seen as a methodology that aims to solve an inverse problem in which one tries to infer meristem functioning from the complex structures they produce. This analysis is carried out at different spatial and temporal scales. • Second, at a more microscopic level, we intend to exploit the recent spectacular scientific and technological progresses in developmental biology in order to understand how physiological and genetic processes control meristem growth at cell scale. To develop these two scientific axes, we carry out research in three main categories of models and methods: • Multiscale models for the spatial (topological and geometrical) representation of structured biologi- cal objects (which range from meristem tissues to branching structures), • Methods and models for deciphering the organisation of these complex biological objects, • Models for morphogenesis. All these tools are integrated in a common software platform V-Plants that is available to all the partners of Virtual Plants. At a national and international level, we coordinate the development of an open software platform ALEA for plant modelling (based on V-Plants). 3. Scientific Foundations 3.1. Analysis of structures resulting from meristem activity To analyse plant growth and structure, we focus mainly on methods for analysing sequences and tree- structured data. Theses methods range from algorithms for computing distance between sequences or tree- structured data to statistical models. • Combinatorial approaches: Plant structures exhibit complex branching organizations of their organs like internodes, leaves, shoots, axes, branches, etc. These structures can be analysed with combina- torial methods in order to compare them or to reveal particular types of organisation. We investigate a family of techniques to quantify distances between branching systems based on non-linear struc- tural alignment (similar to edit-operation methods used for sequence comparison). Based on these techniques, we study the notion of self-similarity of branching structures in order to quantify the degree of redundancy of any tree structure and to quantify in this way critical botanical notions such as the physiological states of a meristem. • Statistical modeling: we investigate different categories of statistical models corresponding to different types of structures. Project-Team Virtual Plants 3 – Longitudinal data corresponding to plant growth follow up: The statistical models of inter- est are equilibrium renewal processes and generalized linear mixed models for longitudinal count data. – Repeated patterns within sequences or trees: The statistical models of interest are variable- order Markov chains and lumped processes constructed from Markov chains. Variable- order Markov chains are in particular applied to identify complex branching patterns resulting from local inhibition phenomena. – Homogeneous zones (or change points) within sequences or trees: Most of the statistical models of interest are hidden Markovian models (hidden semi-Markov chains and Markov switching linear mixed models for sequences and different families of hidden Markov tree models). A complementary approach consists in applying change-point detection models. The branching structure of a parent shoot is often organized as a succession of branching zones while the succession of shoot at the more macroscopic scale exhibit roughly stationary phases separated by marked transitions. We investigate both estimation methods and diagnostic tools for these different categories of models. In particular we focus on diagnostic tools for Markovian and hidden Markovian models (in this latter case to explore the hidden state sequence or tree space). Designing morphogenesis models
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