Titlebook: Non-Local Partial Differential Equations for Engineering and Biology; Mathematical Modelin Nikos I. Kavallaris,Takashi Suzuki Book 2018 Spr

laxative

A Non-local Reaction-Diffusion System Illustrating Cell Dynamicswithin human cells. The derived system inspects the situation when chemical reactions occur when the two chemicals within a cell are in distance .,? where such a distance is the reaction radius. Next, the long-time behavior of the solutions of the preceding non-local system is investigated as well a

鳥籠

Linear Friction Weldinge the convergence of its solution towards the unique steady state. On the other hand, the power-law case lacks such a variational structure and thus we have to appeal to a numerical scheme of Crank–Nicolson type in order to presume the long-tume behavior in this case as well as to confirm the analytical results derived in the exponential case.

高談闊論

AFFIX

Gierer–Meinhardt Systemestabilised via diffusion-driven blow-up, is obtained. The latter actually indicates the formation of some unstable patterns, whilst some stability results of global-in-time solutions towards non-constant steady states guarantee the occurrence of some stable patterns.

反叛者

A Non-local Model Arising in Chemotaxisnverges to the unique steady state solution in the radial symmetric case. When the cell population exceeds the threshold . then all the radially symmetric solutions exhibit finite-time blow-up on the origin of the considered sphere, i.e. single-point blow-up occurs.

Chromatic

Book 2018ols. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in

seruting

2198-350X feasible memory effects.Supplies new mathematical methods fThis book presents new developments? in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical b

declamation

Axon895

A Non-local Reaction-Diffusion System Illustrating Cell Dynamicsblem is derived in the limit of infinite chemical reaction rate. Next the convergence of the global-in-time solution to the preceding system towards the unique stationary solution is derived. The chapter closes with some results on the determination of the decay rate of the above convergence towards the unique stationary solution.

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