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Chemotaxis, Signal Relaying And Aggregation Morphology

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Dictyostelium mutants defective in chemotaxis are incapable of aggregating and therefore cannot develop normally. Mutant development phenotypes, including lack of aggregation and fruiting bodies, are readily observed on bacterial lawns and have been used successfully to enrich for potential chemotaxis mutants in mutagenesis studies. We prove that for radially symmetric functions in a ring $\Omega = $ {$ x \in \mathbb {R}^n, n \geq 2 : r \leq |x| \leq R $} a special type of Trudinger-Moser-like inequality holds. Next we show how to infer from it a lack of blowup of radially symmetric solutions to a Keller-Segel system in $\Omega$.

29. Toshitaka Nagai, Takasi Senba, Kiyoshi Yoshida, Application of the Trudinger‐Moser inequality to a parabolic system of chemotaxis, Funkcial. Ekvac., 40 (1997), 411–433 30. V. Nanjudiah, Chemotaxis, signal relaying and aggregation morphology, J. Theor. Biol., We study a Keller-Segel type chemotaxis model with a modified sensitivity function in a bounded domain Ω ⊂ R N, N ≥ 2. The global existence of classical solutions to the fully parabolic system is established provided that the ratio of the chemotactic coefficient to

Signaling mechanisms for chemotaxis

LTB4 Is a Signal-Relay Molecule during Neutrophil Chemotaxis ...

Chemotaxis Signal Relaying and Aggregation Morphology Article Dec 1973 Vidyanand Nanjundiah

Sci-Hub | Chemotaxis, signal relaying and aggregation morphology. Journal of Theoretical Biology, 42 (1), 63–105 | 10.1016/0022-5193 (73)90149-5 to open science ↓ save ( (btc))

While studying the global existence and the concentration phenomenon of the chemotaxis–fluid model, we develop the global W 2, p theory for the 2D stationary Stokes system subject to Navier boundary conditions with zero friction and further establish semigroup estimates of the nonstationary counterpart by analyzing the Stokes eigenvalue problem. Biol. v.42 Chemotaxis, signal relaying, and aggregation morphology V. Nanjundiah

chemotaxis 1 reference based on heuristic inferred from title author name string Nanjundiah V series ordinal 1 1 reference 9 May 2018 reference URL publication date 1 November 1973 1 reference 9 May 2018 language of work or name English 0 references number of pages 43 1 reference based on heuristic inferred from page (s) published in Journal of

A quasi‐linear parabolic system of chemotaxis

  • The moving boundary problem in a chemotaxis model
  • Chapter 6 Cell Aggregation and Differentiation in
  • Stability of Some Mechanisms of Chemotactic Aggregation
  • Journal of Theoretical Biology

E.F. Keller et al. Initiation of slime mold aggragation viewed as an instability J. Theoret. Biol. (1971) V. Nanjundiah Chemotaxis, signal relaying, and aggregation morphology J. Theoret. Biol. (1973) We consider a class of models of chemotactic bacterial populations, introduced by Keller-Segel. For those models, we investigate the possibility of chemotactic collapse, in other words, the possibility that in finite time the population of predators aggregates to form a delta-function. To study this phenomenon, we construct self-similar solutions, which may or may not blow-up (in

References [1] Nanjundiah V. Chemotaxis, signal relaying and aggregation morphology It is shown that a system of cells which are attracted by chemotaxis to a signal released by themselves can aggregate (in the form of delta function concentrations). This aggregation is initiated by random fluctuations which occur naturally. When the signalling is cooperative, such an aggregation presents a characteristic streaming morphology, observed in some of the cellular Google Scholar 20 V. Nanjundiah Chemotaxis, signal relaying and aggregation morphology

We consider the following system: [GRAPHICS] which has been used as a model for various phenomena, including motion of species by chemotaxis and equilibrium of self-attracting clusters. We show that, in space dimension N = 3, (S) possess radial solutions that blow-up in a finite time. The asymptotic behaviour of such solutions is analysed in detail. In particular, we obtain that

τ vt−∆v+v=u. 4 Chemotaxis, signal relaying and aggregation morphology, J.Theor. Biol.,

Chemotaxis refers to mechanisms by which cellular motion occurs in response to an external stimulus, usually a chemical one. Chemotaxis is an important process in many medical and biological applications, including bacteria/cell aggregation and pattern formation mechanisms, as well as tumor growth. There exists an extensive literature about chemotaxis models and their It is shown that a system of cells which are attracted by chemotaxis to a signal released by themselves can aggregate (in the form of delta function concentrations). This aggregation is initiated by random fluctuations which occur naturally. When the signalling is cooperative, such an aggregation presents a characteristic streaming morphology, observed in some of the cellular Biol. v.42 Chemotaxis, signal relaying, and aggregation morphology V. Nanjundiah

AMS :: Transactions of the American Mathematical Society

REFERENCES Chemotaxis, signal relaying and aggregation morphology Two-dimensional Keller-Segel model: optimal critical mass and qualitative properties of the solutions From 1970 until present: the Keller-Segel model in chemotaxis and its consequences Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical 29. Toshitaka Nagai, Takasi Senba, Kiyoshi Yoshida, Application of the Trudinger‐Moser inequality to a parabolic system of chemotaxis, Funkcial. Ekvac., 40 (1997), 411–433 30. V. Nanjudiah, Chemotaxis, signal relaying and aggregation morphology, J. Theor. Biol., V. Nanjundiah Chemotaxis, signal relaying, and aggregation morphology J. Theor. Biol. (1973) P. Biler et al. Existence and nonexistence of solutions for a model of gravitational interactions of particles P. Biler Existence and nonexistence of solutions for a model of gravitational interactions of particles S. Childress Chemotactic

Nanjundiah V. Chemotaxis, signal relaying and aggregation morphology J. Theor. Biol. 1973 42 63-105

The oscillatory production and secretion of cAMP by ACA mediate cell-cell signal relay, and, although not necessary for chemotaxis in differentiated cells, the regulation of this response provides important insights into the chemotactic signaling We investigate the properties of solutions of a system of chemotaxis equations arising in the theory of reinforced random walks. We show that under some circumstances, finite-time blow-up of solutions is possible. In this paper, motivated by the chemotaxis–Navier–Stokes system arising from mathematical biology [43], a modified shallow water type chemotactic model is derived. For large initial data allowing vacuum, the local existence of strong solutions together with the blow-up criterion is established.

Chemotaxis, signal relaying and aggregation morphology Renate Schaaf, Global behaviour of solution branches for some Neumann problems depending on one or several parameters, J. Reine Angew. In this paper, we prove the local existence and uniqueness of amoving boundary problem modeling chemotactic phenomena. We also getthe explicit representative for the moving boundary and show thefinite-time blow-up and chemotactic collapse for the solution of [43] V. Nanjundiah, Chemotaxis, signal relaying and aggregation morphology, J. Theor. Biol., 42 (1973), 63-105. doi: 10.1016/0022-5193 (73)90149-5.

In many biological systems, movement of an organism occurs in response to a diffusible or otherwise transported signal, and in its simplest form this can be modeled by diffusion equations with advection terms of the form first derived by Patlak [Bull. of Math. Biophys., 15 (1953), pp. 311–338]. However, other systems are more accurately modeled by random walkers that deposit a Google Scholar [12] Nanjundiah V 1973 Chemotaxis, signal relaying and aggregation morphology J. Theor. Biol. 42 63-105 PubMed Crossref Google Scholar [13] Velázquez J J L 1993 Classification of singularities for blowing-up solutions in higher dimensions Trans. Am. Math. Soc. 338 441-64 Crossref Google Scholar NanjundiahV. Chemotaxis, signal relaying and aggregation morphology J Theoret Biol (1973) ZhangJ. et al. Characteristic splitting mixed finite element analysis of Keller–Segel chemotaxis models