ライフサイエンスコーパス: diffusion equation

1 m solution of the two-dimensional convection-diffusion equation.

2 We report that vesicle movement follows the diffusion equation.

3 l distribution is governed by the force-free diffusion equation.

4 l is shown to be a solution of a generalized diffusion equation.

5 g approach allowed by an exact quantum-state-diffusion equation.

6 d glutamate can be described with a reaction-diffusion equation.

7 and biofilm, respectively, and the advection-diffusion equation.

8 a geometric basis for solving the stationary diffusion equation.

9 = 2 via a monotone flow governed by the fast diffusion equation.

10 culated using the analytical solution of the diffusion equation.

11 (deterministic) PDE, which we call a fitness-diffusion equation.

12 tube compared with the prediction using the diffusion equation.

13 d in some cases do not appear to satisfy the diffusion equation.

14 uous range (0,1) were found from the forward diffusion equation.

15 d from the vesicle using a three-dimensional diffusion equation.

16 s in the efficient solution of the continuum diffusion equation.

17 ments are modeled with a convective reaction-diffusion equation.

18 redicted by solving a 1-dimensional reaction-diffusion equation.

19 TRBDF2 method is employed for the advection-diffusion equation.

20 ion of transport, which consists of singular diffusion equations.

21 automatically generate a system of reaction-diffusion equations.

22 vant for other systems described by reaction-diffusion equations.

23 modules are implemented in terms of reaction-diffusion equations.

24 ifferential equations, for example, reaction-diffusion equations.

25 bryos can be described by nonlinear reaction-diffusion equations.

26 he model comprises a system of four reaction-diffusion equations.

27 algorithms and algorithms for integration of diffusion equations.

28 signal each other via traditional growth and diffusion equations.

29 ite element scheme for the nutrient reaction-diffusion equations allows full nonlinearity in the sour

30 The approximation is based on a diffusion equation and is valid when N exp(-u/s) >> 1, w

31 For this, we numerically invert the diffusion equation and thereby obtain the diffusivity an

32 tion of coupled Navier-Stokes and convection-diffusion equations and experiments using fluorescence r

33 the complete system of differential reaction diffusion equations and fitting the theoretical pH distr

34 llent agreement with theory involving linear diffusion equations and the experimentally determined Ne

35 water in the Phase Chip is modeled using the diffusion equation, and good agreement between experimen

36 re knowledge of the solution of the reaction-diffusion equation, and we provide a simple graphical te

37 verse first power of the distance, following diffusion equations, and describes the flat rotation cur

38 Reaction-diffusion equations are the cornerstone of modeling bioc

39 Numerical solution of the diffusion equation, as well as ab initio calculations, s

40 ss by numerical solution of the Smoluchowski diffusion equation, as well as by coarse-grained Brownia

41 We use a reaction-diffusion equation based model of tumour growth to inves

42 Most of the proposed models rely on reaction-diffusion equations, but their formulation and applicabi

43 generalized the standard two-state reaction-diffusion equations by 1), accounting for the parallel a

44 ple radiative boundary condition on the heat diffusion equation cannot adequately describe interfacia

45 on model consists of the parabolic advection-diffusion equation coupled either to Gauss' law or Poiss

46 jet hydrodynamics and associated convective-diffusion equation, coupled to a first-order surface pro

47 At the extracellular level, reaction-diffusion equations describe the chemical dynamics (nutr

48 The Oxygen-Driven Model (ODM), using oxygen diffusion equations, describes tumour growth, hypoxia an

49 built to model a radially symmetric reaction-diffusion equation describing the activity of immuno-PET

50 Using rho, we modified a diffusion equation describing the change of chloride ion

51 From the optical diffusion equation describing the propagation and genera

52 presence of rapid buffers the full reaction-diffusion equations describing Ca2+ transport can be red

53 nalysis of the data using the unsteady-state diffusion equation, enabled estimation of the permeabili

54 l is based on an approximate solution of the diffusion equation for both aqueous and organic diffusio

55 The forward diffusion equation for gene frequency dynamics is solved

56 he two-state proteins, obtained by solving a diffusion equation for motion on the free energy profile

57 ntitatively with analytical solutions of the diffusion equation for simple geometries.

58 length-sensing mechanism in which advection-diffusion equations for bidirectional motor transport ar

59 ent a complete solution to the FRAP reaction-diffusion equations for either single or multiple indepe

60 The numerical solution of the diffusion equations for substrate generation-tip collect

61 ) for the cell species coupled with reaction-diffusion equations for the substrate components.

62 A system of reaction-diffusion equations has been developed to track the conc

63 mpling rate is calculated using the Einstein diffusion equation in conjunction with an experimentally

64 rflow was determined by solving the unsteady diffusion equation in the air-phase.

65 By solving the convection-diffusion equation in the frame of the moving rod, it wa

66 e review the properties of the extended flow-diffusion equation in tumor tissue.

67 The kinetic theory is based on a generalized diffusion equation in which the driving force for motion

68 +, D, rather than D, as is true for reaction-diffusion equations in a continuous excitable medium.

69 numerical model consisting of a 3D advection/diffusion equation, including uptake/release reactions b

70 ared with values predicted using the optical diffusion equation incorporating 1) biexponential decay,

71 obtained from the solution of a generalized diffusion equation incorporating an effective Langmuir a

72 The forward diffusion equation is thus solved for all gene frequenci

73 mathematical model comprised of 23 reaction-diffusion equations is used to simulate the biochemical

74 The diffusion equation method of global minimization is appl

75 gnitude and a scheme for handling convection-diffusion equations of interest in electrochemical and s

76 have built a system of interacting reaction diffusion equations of the Fisher-Kolmogorov-Petrovskii-

77 of fourth-order nonlinear advection-reaction-diffusion equations (of Cahn-Hilliard-type) for the cell

78 fusive transport have focused on solving the diffusion equation on curved surfaces, for which it is n

79 through the embryo is well described by the diffusion equation on the relevant length and time scale

80 formulate and solve rather general reaction-diffusion equations on general surfaces without having t

81 w to formulate and solve systems of reaction-diffusion equations on surfaces in an extremely simple w

82 be shown to rigorously satisfy the extended diffusion equation provided one correctly defines the ti

83 ch solves the Schrodinger, Poisson and drift-diffusion equations self-consistently.

84 cellent quantitative agreement with the full diffusion equation solutions demonstrating that the two

85 ion at dendritic spines by means of reaction-diffusion equations solved on spine-like geometries.

86 lly expensive numerical solution of reaction-diffusion equations, such approximations proved useful i

87 dependent drug penetration by the 1D general diffusion equation that accounts for spatial variations

88 We formulate a generalized diffusion equation that includes these various pushing a

89 n be described by an inhomogeneous advection diffusion equation that is free of all parameters.

90 ed tumor model is based on a set of reaction-diffusion equations that describe the spatio-temporal ev

91 ses, we constructed models based on reaction-diffusion equations that fit well with the experimental

92 utions have been identified for the reaction-diffusion equations that govern FRAP, there has been no

93 is described by a coupled system of reaction-diffusion equations that-assuming spherical radial symme

94 on, the Schrodinger equation, the convection-diffusion equation, the anisotropic conductivity equatio

95 ttering solution, when incorporated into the diffusion equation, the kinetic parameters failed to lik

96 By solving the full drift-diffusion equations, the existence of high-injection eff

97 e was calculated numerically, by solving the diffusion equation through a Legendre polynomial expansi

98 We apply the diffusion equation to a case study of Kruger National Pa

99 solution of the uncoupled steady convective-diffusion equation to determine the concentration field

100 efore used the corresponding solution to the diffusion equation to estimate an apparent diffusion coe

101 the bidomain equations along with the photon diffusion equation to study the excitation and emission

102 The model uses reaction-diffusion equations to describe 3(') phosphoinositide si

103 We use reaction-diffusion equations to model the invasion of a species w

104 of primary energy metabolism within reaction-diffusion equations to predict local glucose, oxygen, an

105 The diffusion equation was used to model the propagation of

106 Using a system of reaction-diffusion equations, we study diffusion of VEGF, binding

107 educes the dynamics of convection equations, diffusion equations, weak shocks, and vorticity equation

108 Mesoscale diffusion equations were then formulated upon a new two-

109 The flow-diffusion equation, which describes the relation between

110 aditionally assumed to obey the Smoluchowski diffusion equation, which is germane for classical diffu

111 0 and 1 were found by appeal to the backward diffusion equation, while those in the continuous range

112 Solving the diffusion equation whose parameters are derived from the

113 be well described by a model that combined a diffusion equation with a competitive Michaelis-Menten e

114 e resolve this paradox and derive a modified diffusion equation with finite speed.

115 ted at the macroscopic level by an advection-diffusion equation with memory (ADEM) whose parameters a