Uneingeschränkter Zugang

On the stabilizing effect of chemotaxis on bacterial aggregation patterns


Zitieren

J. Adler, (1966), Chemotaxis in bacteria, Science 153 no. 3737, pp. 708–716.AdlerJ.1966Chemotaxis in bacteria, Science 153 no. 3737,70871610.1126/science.153.3737.708Search in Google Scholar

S. Arouh and H. Levine, (2000), Nutrient chemotaxis suppression of a diffusive instability in bacterial colony dynamics, Phys. Rev. E 62 no. 1, pp. 1444–1447.ArouhS.LevineH.2000Nutrient chemotaxis suppression of a diffusive instability in bacterial colony dynamics, Phys. Rev. E 62 no. 1,1444144710.1103/PhysRevE.62.1444Search in Google Scholar

E. Ben-Jacob, I. Cohen, and H. Levine, (2000), Cooperative self-organization of microorganisms, Advances in Physics 49, no. 4, pp. 395–554.Ben-JacobE.CohenI.LevineH.2000Cooperative self-organization of microorganisms, Advances in Physics 49, no. 4,39555410.1080/000187300405228Search in Google Scholar

J. A. Butanda, (2016), Spectral methods in the study of reaction-diffusion traveling fronts. (In Spanish.) M.Sc. Thesis, Universidad Nacional Autónoma de México.ButandaJ. A.2016Spectral methods in the study of reaction-diffusion traveling fronts. (In Spanish.) M.Sc. Thesis, Universidad Nacional Autónoma de MéxicoSearch in Google Scholar

I. Cohen, A. Czirók, and E. Ben-Jacob, (1996), Chemotactic-based adaptive self organization during colonial development, Phys. A 233, no. 3–4, pp. 678–698.CohenI.CzirókA.Ben-JacobE.1996Chemotactic-based adaptive self organization during colonial development, Phys. A 233, no. 34,67869810.1016/S0378-4371(96)00247-6Search in Google Scholar

R. A. Fisher, (1937), The wave of advance of advantageous genes, Annals of Eugenics 7, pp. 355–369.FisherR. A.1937The wave of advance of advantageous genes, Annals of Eugenics 7,35536910.1111/j.1469-1809.1937.tb02153.xSearch in Google Scholar

M. Funaki, M. Mimura, and T. Tsujikawa, (2006), Travelling front solutions arising in the chemotaxis-growth model, Interfaces Free Bound. 8, no. 2, pp. 223–245.FunakiM.MimuraM.TsujikawaT.2006Travelling front solutions arising in the chemotaxis-growth model, Interfaces Free Bound. 8, no. 2,22324510.4171/ifb/141Search in Google Scholar

I. Golding, Y. Kozlovsky, I. Cohen, and E. Ben-Jacob, (1998), Studies of bacterial branching growth using reaction-diffusion models for colonial development, Phys. A 260, no. 3–4, pp. 510–554.GoldingI.KozlovskyY.CohenI.Ben-JacobE.1998Studies of bacterial branching growth using reaction-diffusion models for colonial development, Phys. A 260, no. 34,51055410.1016/S0378-4371(98)00345-8Search in Google Scholar

K. Kawasaki, A. Mochizuki, M. Matsushita, T. Umeda, and N. Shigesada, (1997), Modeling spatio-temporal patterns generated by Bacillus subtilis, J. of Theor. Biol. 188, no. 2, pp. 177 – 185.KawasakiK.MochizukiA.MatsushitaM.UmedaT.ShigesadaN.1997Modeling spatio-temporal patterns generated by Bacillus subtilis, J. of Theor. Biol. 188, no. 2,17718510.1006/jtbi.1997.0462Search in Google Scholar

E. F. Keller and L. A. Segel, (1971), Model for chemotaxis, J. Theor. Biol. 30, no. 2, pp. 225 – 234.KellerE. F.SegelL. A.1971Model for chemotaxis, J. Theor. Biol. 30, no. 2,22523410.1016/0022-5193(71)90050-6Search in Google Scholar

E. F. Keller and L. A. Segel, (1971), Traveling bands of chemotactic bacteria: A theoretical analysis, J. Theor. Biol. 30, no. 2, pp. 235 – 248.KellerE. F.SegelL. A.1971Traveling bands of chemotactic bacteria: A theoretical analysis, J. Theor. Biol. 30, no. 2,23524810.1016/0022-5193(71)90051-8Search in Google Scholar

A. N. Kolmogorov, I. Petrovsky, and N. Piskunov, (1937), Etude de l’équation de la diffusion avec croissance de la quantité de matiere et son applicationa un probleme biologique, Mosc. Univ. Bull. Math 1, pp. 1–25.KolmogorovA. N.PetrovskyI.PiskunovN.1937Etude de l’équation de la diffusion avec croissance de la quantité de matiere et son applicationa un probleme biologique, Mosc. Univ. Bull. Math 1,125Search in Google Scholar

R. I. Lapidus and R. Schiller, (1976), Model for the chemotactic response of a bacterial population, Biophys. J. 16, no. 7, pp. 779–789.LapidusR. I.SchillerR.1976Model for the chemotactic response of a bacterial population, Biophys. J.16777978910.1016/S0006-3495(76)85728-1Search in Google Scholar

J. F. Leyva, C. Málaga, and R. G. Plaza, (2013), The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion, Phys. A 392, no. 22, pp. 5644–5662.LeyvaJ. F.MálagaC.PlazaR. G.2013The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion, Phys. A392225644566210.1016/j.physa.2013.07.022Search in Google Scholar

J. F. Leyva and R. G. Plaza, (2016), Spectral stability of traveling fronts for reaction diffusion-degenerate Fisher-KPP equations. Preprint. https://arXiv:1606.04831.LeyvaJ. F.PlazaR. G.2016Spectral stability of traveling fronts for reaction diffusion-degenerate Fisher-KPP equations. Preprinthttps://arXiv:1606.04831Search in Google Scholar

L. Malaguti and C. Marcelli, (2003), Sharp profiles in degenerate and doubly degenerate Fisher-KPP equations, J. Differential Equations 195, no. 2, pp. 471–496.MalagutiL.MarcelliC.2003Sharp profiles in degenerate and doubly degenerate Fisher-KPP equations, J. Differential Equations 195247149610.1016/j.jde.2003.06.005Search in Google Scholar

Y. Mori, A. Jilkine, and L. Edelstein-Keshet, (2011), Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization, SIAM J. Appl. Math. 71, no. 4, pp. 1401–1427.MoriY.JilkineA.Edelstein-KeshetL.2011Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization, SIAM J. Appl. Math. 7141401142710.1137/10079118XSearch in Google Scholar

M. Ohgiwari, M. Matsushita, and T. Matsuyama, (1992), Morphological changes in growth phenomena of bacterial colony patterns, J. Phys. Soc. Jpn. 61, no. 3, pp. 816–822.OhgiwariM.MatsushitaM.MatsuyamaT.1992Morphological changes in growth phenomena of bacterial colony patterns, J. Phys. Soc. Jpn. 61381682210.1143/JPSJ.61.816Search in Google Scholar

F. Sánchez-Garduño and P. K. Maini, (1994), Existence and uniqueness of a sharp travelling wave in degenerate nonlinear diffusion Fisher-KPP equations, J. Math. Biol. 33, no. 2, pp. 163–192.Sánchez-GarduñoF.MainiP. K.1994Existence and uniqueness of a sharp travelling wave in degenerate nonlinear diffusion Fisher-KPP equations, J. Math. Biol. 33216319210.1007/BF00160178Search in Google Scholar

F. Sánchez-Garduño and P. K. Maini, (1997), Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations, J. Math. Biol. 35, no. 6, pp. 713–728.Sánchez-GarduñoF.MainiP. K.1997Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations, J. Math. Biol. 35671372810.1007/s002850050073Search in Google Scholar

D. Schwarcz, H. Levine, E. Ben-Jacob, and G. Ariel, (2016), Uniform modeling of bacterial colony patterns with varying nutrient and substrate, Phys. D 318/319, pp. 91–99.SchwarczD.LevineH.Ben-JacobE.ArielG.2016Uniform modeling of bacterial colony patterns with varying nutrient and substrate, Phys. D 318/319, pp919910.1016/j.physd.2015.11.002Search in Google Scholar

L. J. Tucker, (2010), A new computational approach to simulate pattern formation in Paenibacillus dendritiformis bacterial colonies, PhD thesis, University of California, San Diego. https://escholarship.org/uc/item/6x91c78rTuckerL. J.2010A new computational approach to simulate pattern formation in Paenibacillus dendritiformis bacterial colonies, PhD thesis, University of CaliforniaSan Diegohttps://escholarship.org/uc/item/6x91c78rSearch in Google Scholar

G. H. Wadhams and J. P. Armitage, (2004), Making sense of it all: bacterial chemotaxis, Nature Rev. Molecular Cell Biol. 5, no. 12, pp. 1024–1037.WadhamsG. H.ArmitageJ. P.2004Making sense of it all: bacterial chemotaxis, Nature Rev. Molecular Cell Biol. 5121024103710.1038/nrm152415573139Search in Google Scholar

J.-I. Wakita, K. Komatsu, A. Nakahara, T. Matsuyama, and M. Matsushita, (1994), Experimental investigation on the validity of population dynamics approach to bacterial colony formation, J. Phys. Soc. Jpn. 63, no. 3, pp. 1205–1211.WakitaJ.-I.KomatsuK.NakaharaA.MatsuyamaT.MatsushitaM.1994Experimental investigation on the validity of population dynamics approach to bacterial colony formation, J. Phys. Soc. Jpn. 6331205121110.1143/JPSJ.63.1205Search in Google Scholar

eISSN:
2444-8656
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
Volume Open
Fachgebiete der Zeitschrift:
Biologie, andere, Mathematik, Angewandte Mathematik, Allgemeines, Physik