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M. Basan A. Basu A. Callan-Jones J.F. Joanny F. Julicher K. Kruse T. Risler G.Salbreux K. Sekimoto R. Voituriez C. Sykes E. Paluch P. Pullarkat M. Bornens X. Sastres J.P. Henry E. Karatekim From cell to tissue dynamics?
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Fibroblast Fragments Depolymerized Microtubules E. Paluch et al, E.480 Bornens et al, 1988
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Filament array in lamellipodia (T. Svitkina and G.G. Borisy, 1999; Blanchoin et al.; Pantaloni et al., 2000, Ishiwata et al 2000) Arp 2/3
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Actin Intrinsic Treadmilling ADP ATP Pi Actin-based motility
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MYOSIN (R. Vale)
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Muscles: Actin and Myosin Filaments titin
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Conserved quantities, Broken symmetries Actin (monomer+polymer) Myosin (bound, unbound) Momentum (force) Polarization
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Harvard Choice P.C. Martin et al
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Conservation laws
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Dissipative Reactive
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A. Simha, S. Ramaswamy; T. Liverpool, C. Marchetti, H. Chaté
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K. Takiguchi,1991 G. H. Koenderink 2006 F. Nedelec et al 1997, K. Kruse, F. Jülicher, 2000, T. Liverpool, C. Marchetti 2002, I. Aranson2005, B. Mulder et al 2005
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Nematic Hydrodynamics ( F.M. Leslie, F. Brochard, P.G. de Gennes, P. Pieranski, E. Guyon ) x z
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Spontaneous Frederiks transition H V R. Voituriez
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Remains to be seen!
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L. Giomi, C. Marchetti, J.F. Joanny, J.P.
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Topological Singularities
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Spontaneously moving topological singularity
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State Diagram
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EXPERIMENT (François Nedelec et al)
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Allow for density variation:d=2
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R. Goldstein B. subtilis S. Ramaswamy, G. Menon et al
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Fluctuations?
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Thermal noise
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Non thermal fluctuations Long time limit Traveling wavesM. Sheetz, H.G. Dobereiner Always unstable at long wavelength!
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z x y p Gel regime: non thermal noise important Fluid regime: nematic coupling important Particle (Vesicle), Diffusion
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Short time: F. MacKintosh
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L
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“balistic” “diffusive” F. MacKintosh
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New material Science Transitions toward moving sates “Ramaswamy waves” Unconventional diffusion Long wavelength unstable Similar to bacterial motion, flocks etc…
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Questions Shape (profile) Relation thickness/force/velocity and flow Substrate, membrane tension What determines Length? A. Verkhovsky symmetry breaking?
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Leading Edge Glycoprotéine Glycolipide Protéine Oligosaccharide Cholestérol Pore protéique Phospholipides
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Leading edge and membrane dynamics
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Steady motion
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Threshold Leading edge
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Thin slab U h x L/2 -L/2
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U v=0v<0v>0 dd h Free ends Screening!
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Lamellipodium shape and motion? h x v
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x L d Keratocyte: In most cases d « L: Growth cone: A. Verkhovsky et al T. Betz + Stick-Slip! f cell
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What determines Length?
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Fragment
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Fibroblast Fragments Depolymerized Microtubules E. Paluch et al, E.480 Bornens et al, 1988
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Fibroblast Fragments Depolymerized Microtubules E. Paluch et al, E.480 Bornens et al, 1988
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Actin Kinase Rho Kinase
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P. Pullarkat, K. Jacobson
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Cortical Actin? x z e Intrinsically unstable! T Spherical symmetry:Threshold!
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Pramod Pullarkat
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Frequency Activity Parameter Calcium sensitivity Activity parameter
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Frequency
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Mitosis? D. Bray, J. Spudich et al Stability of an active Shell Cell oscillations: M. Bornens et al, P. Pullarkat, K. Jacobsen
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Tissue Dynamics
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4) Metastatic Inefficiency Cameron et al., Cancer Research (2000)
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Measurement of Active Tissue Homeostatic Pressure Numbers?
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Stationary State:
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Tissue Fight for Space
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3) Tumor Growth Dynamics a) Compartment Competition Force balance: (Liquid limit: ) Constitutive eqns : Highest Stationary pressure wins again!
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4) Metastatic Inefficiency Surface tension for at tumor boundary: Tumor grows Tumor shrinks Critical Radius! If const If faster than r « Benign » steady state
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Small tumors are monoclonal How do you reach the critical radius?
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Nutrition/Signalization: millimeter size Steady State Stability versus Angiogenesis? Duplicating cells Migrating cells Necrosed cells
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Find? r c a few cell diameter Very sensitive on Preferential nucleation at rigid interfaces Seed and soil (Stephen Paget 1889) Papillomas virus But many other steps…
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Messages : Quantitative cell dynamics Signalization, Fluctuations Axones, synapses and Alzheimer Tissue dynamics: new concepts, new experiments Much to do!
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