A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line

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• 作者：E. Di Costanzo ; R. Natalini ; L. Preziosi
• 关键词：Cell migration ; Self ; organization ; Embryogenesis ; Zebrafish ; Neuromast formation ; Cellular signaling ; 92B05 ; 92C17 ; 92C15
• 刊名：Journal of Mathematical Biology
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：71
• 期：1
• 页码：171-214
• 全文大小：2,201 KB
• 参考文献：Albi G, Pareschi L (2013) Modeling self-organized systems interacting with few individuals: from microscopic to macroscopic dynamics. Appl Math Lett 26(4):397鈥?01View Article MATH MathSciNet
  Arboleda-Estudillo Y, Krieg M, St眉hmer J, Licata NA, Muller DJ, Heisenberg CP (2010) Movement directionality in collective migration of germ layer progenitors. Curr Biol 20:161鈥?69View Article
  Bayly PV, Taber LA, Carlsson AE (2012) Damped and persistent oscillations in a simple model of cell crawling. J R Soc Interface 9(71):1241鈥?253View Article
  Beenken A, Mohammadi M (2009) The fgf family: biology, pathophysiology and therapy. Nat Rev Drug Discov 8(3):235鈥?53View Article
  Bell GI, Dembo M, Bongrand P (1984) Cell adhesion. Competition between nonspecific repulsion and specific bonding. Biophys J 45(6):1051鈥?064View Article
  B枚ttcher RT, Niehrs C (2005) Fibroblast growth factor signaling during early vertebrate development. Endocr Rev 26(1):63鈥?7View Article
  Chitnis AB, Nogare DD, Matsuda M (2012) Building the posterior lateral line system in zebrafish. Dev Neurobiol 72(3):234鈥?55View Article
  Colombi A, Scianna M, Tosin A (2011) Differentiated cell behavior: a multiscale approach using measure theory. submitted, arXiv:鈥?108.鈥?212v2
  Coombs S, Netten SV (2005) The hydrodynamics and structural mechanics of the lateral line system. Fish Physiol 23:103鈥?39View Article
  Cristiani E, Piccoli B, Tosin A (2011) Multiscale modeling of granular flows with application to crowd dynamics. Multiscale Model Sim 9(1):155鈥?82View Article MATH MathSciNet
  Cucker F, Smale S (2007) Emergent behavior in flocks. IEEE T Automat Contr 52(5):852鈥?62View Article MathSciNet
  Don脿 E, Barry JD, Valentin G, Quirin C, Khmelinskii A, Kunze A, Durdu S, Newton LR, Fernandez-Minan A, Huber W, Knop M, Gilmour D (2013) Directional tissue migration through a self-generated chemokine gradient. Nature 503:285鈥?89
  D鈥橭rsogna MR, Chuang YL, Bertozzi AL, Chayes LS (2006) Self-propelled particles with soft鈥揷ore interactions: patterns, stability, and collapse. Phys Rev Lett 96(10):104302View Article
  Draper BW, Morcos PA, Kimmel CB (2001) Inhibition of zebrafish fgf8 Pre-mRNA splicing with morpholino oligos: a quantifiable method for gene knockdown. Genesis 30:154鈥?56View Article
  Eisenbach M, Lengeler JW (2004) Chemotaxis. Imperial College Press, LondonView Article
  Filion RJ, Popel AS (2005) Intracoronary administration of FGF-2: a computational model of myocardial deposition and retention. Am J Physiol Heart Circ Physiol 288(1):H263鈥揌279View Article
  Fournier MF, Sauser R, Ambrosi D, Meister JJ, Verkhovsky AB (2010) Force transmission in migrating cells. J Cell Biol 188(2):287鈥?97View Article
  Ghysen A, Chaudi猫re CD (2004) Development of the zebrafish lateral line. Curr Opin Neurobiol 14:67鈥?3View Article
  Ha SY, Liu JG (2009) A simple proof of the Cucker鈥揝male flocking dynamics and mean-field limit. Commun Math Sci 7(2):297鈥?25View Article MATH MathSciNet
  Haas P, Gilmour D (2006) Chemokine signaling mediates self-organizing tissue migration in the zebrafish lateral line. Dev Cell 10:673鈥?80View Article
  Haddon C, Smithers L, Schneider-Maunoury S, Coche T, Henrique D, Lewis J (1998) Multiple delta genes and lateral inhibition in zebrafish primary neurogenesis. Development 125:359鈥?70
  Hart A, Papadopoulou S, Edlund H (2003) Fgf10 Maintains notch activation, stimulates proliferation, and blocks differentiation of pancreatic epithelial cells. Dev Dynam 228:185鈥?93View Article
  He L, Niemeyer B (2003) A novel correlation for protein diffusion coefficients based on molecular weight and radius of gyration. Biotechnol Prog 19:544鈥?48View Article
  Hundsdorfer W, Verwer JG (2003) Numerical solution of time-dependent advection鈥揹iffusion鈥搑eaction equations. Computational mathematics. Springer, BerlinView Article
  Itoh M, Chitnis AB (2001) Expression of proneural and neurogenic genes in the zebrafish lateral line primordium correlates with selection of hair cell fate in neuromasts. Mech Dev 102:263鈥?66View Article
  Joie J, Lei Y, Colin T, Durrieu MC, Poignard C, Saut O (2013) Modelling of migration and orientation of endothelial cells on micropatterned polymers, http://鈥媓al.鈥媔nria.鈥媐r/鈥媎ocs/鈥?0/鈥?9/鈥?7/鈥?7/鈥婸DF/鈥婻R-discret2.鈥媝df . Research Report INRIA RR-8252, p 20
  Kerstetter A, Azodi E, Marrs JA, Liu Q (2004) Cadherin-2 function in the cranial ganglia and lateral line system of developing zebrafish. Dev Dynam 230:137鈥?43View Article
  Kirkpatrick B, Nguyen L, Kondrikova G, Herberg S, Hill WD (2010) Brief technical note: stability of human stromal-derived factor-1\(\alpha \) (CXCL12\(\alpha \) ) after blood sampling. Ann Clin Lab Sci 40(3):257鈥?60
  Lecaudey V, Akdogan GC, Norton WHJ, Gilmour D (2008) Dynamic fgf signaling couples morphogenesis and migration in the zebrafish lateral line primordium. Development 135:2695鈥?705. doi:10.鈥?242/鈥媎ev.鈥?25981 View Article
  Lee J, Blaber M (2010) Increased functional half-life of fibroblast growth factor-1 by recovering a vestigial disulfide bond. J Prot Proteom 1(2):37鈥?2
  Li Q, Shirabe K, Kuwada JY (2004) Chemokine signaling regulates sensory cell migration in zebrafish. Dev Biol 269:123鈥?36View Article
  Liu Q, Ensign RD, Azodi E (2003) Cadherin-1, -2 and -4 expression in the cranial ganglia and lateral line system of developing zebrafish. Gene Expr Patterns 3:653鈥?58View Article
  Liu Q, Dalman MR, Sarmah S, Chen S, Chen Y, Hurlbut AK, Spencer MA, Marrs JA (2011) Cell adhesion molecule cadherin-6 function in zebrafish cranial and lateral line ganglia development. Dev Dynam 240:1716鈥?726View Article
  Matsuda M, Chitnis AB (2010) Atoh1a expression must be restricted by Notch signaling for effective morphogenesis of the posterior lateral line primordium in zebrafish. Development 137:3477鈥?487View Article
  Mertz AF, Che Y, Banerjee S, Goldstein J, Rosowski KR, Revilla SF, Niessen CM, Marchetti MC, Dufresne ER, Horsley V (2013) Cadherin-based intercellular adhesions organize epithelial cell-matrix traction forces. Proc Natl Acad Sci USA 103(3):842鈥?47View Article
  Mizoguchi T, Togawa S, Kawakami K, Itoh M (2011) Neuron and sensory epithelial cell fate is sequentially determined by Notch signaling in zebrafish lateral line development. J Neurosci 31(43):15,522鈥?5,530View Article
  Murray JD (2003) Mathematical biology II: spatial models and biomedical applications, 3rd edn. Springer, Berlin
  Nechiporuk A, Raible D (2008) FGF-dependent mechanosensory organ patterning in zebrafish. Science 320:1774鈥?777View Article
  Papusheva E, Heisenberg CP (2010) Spatial organization of adhesion: force-dependent regulation and function in tissue morphogenesis. EMBO J 29:2753鈥?768View Article
  Perthame B (2007) Transport equations in biology. Birkh盲user, BostonMATH
  Rubinstein B, Fournier MF, Jacobson K, Verkhovsky AB, Mogilner A (2009) Actin鈥搈yosin viscoelastic flow in the keratocyte lamellipod. Biophys J 97:1853鈥?863View Article
  Sarrazin AF, Nu帽ez VA, Sap猫de D, Tassin V, Chaudi猫re CD (2010) Origin and early development of the posterior lateral line system of zebrafish. J Neurosci 30(24):8234鈥?244View Article
  Sep煤lveda N, Petitjean L, Cochet O, Grasland-Mongrain E, Silberzan P, Hakim V (2013) Collective cell motion in an epithelial sheet can be quantitatively described by a stochastic interacting particle model. PLOS Comput Biol 9(3):e1002944View Article
  Streichan SJ, Velentin G, Gilmour D, Hufnagel L (2011) Collective cell migration guided by dynamically maintained gradients. Phys Biol 8:045004View Article
  Sweet EM, Vemaraju S, Riley BB (2011) Sox2 and Fgf interact with atoh1 to promote sensory competence throughout the zebrafish inner ear. Dev Biol 358:113鈥?21View Article
  Szab貌 B, Sz枚ll枚si GJ, G枚nci B, Jur脿nyi Z, Selmeczi D, Vicsek T (2006) Phase transition in the collective migration of tissue cells: experiment and model. Phys Rev E 74(6):061908View Article
  Vicsek T, Czir貌k A, Ben-Jacob E, Cohen I, Shochet O (1995) Novel type of phase transition in a system of self-driven particles. Phys Rev Lett 75(6):1226鈥?229View Article
  Walshe J, Mason I (2003) Fgf signalling is required for formation of cartilage in the head. Dev Biol 264:522鈥?36View Article
  Yeh BK, Igarashi M, Eliseenkova AV, Plotnikov AN, Sher I, Ron D, Aaronson SA, Mohammadi M (2003) Structural basis by which alternative splicing confers specificity in fibroblast growth factor receptors. Proc Natl Acad Sci USA 100(5):2266鈥?271View Article
  
• 作者单位：E. Di Costanzo (1)
  R. Natalini (2)
  L. Preziosi (3)
  
  1. Dipartimento di Scienze di Base e Applicate per l鈥橧ngegneria-Sezione di Matematica, Sapienza University of Rome, Via A. Scarpa 16, 00161聽, Rome, Italy
  2. Istituto per le Applicazioni del Calcolo 鈥淢auro Picone鈥? Consiglio Nazionale delle Ricerche, Via dei Taurini 19, 00185聽, Rome, Italy
  3. Department of Mathematical Sciences, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129聽, Turin, Italy
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematical Biology
  Applications of Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1416

文摘

In this paper we propose a discrete in continuous mathematical model for the morphogenesis of the posterior lateral line system in zebrafish. Our model follows closely the results obtained in recent biological experiments. We rely on a hybrid description: discrete for the cellular level and continuous for the molecular level. We prove the existence of steady solutions consistent with the formation of particular biological structure, the neuromasts. Dynamical numerical simulations are performed to show the behavior of the model and its qualitative and quantitative accuracy to describe the evolution of the cell aggregate.