ライフサイエンスコーパス: partial differential equation

1 characteristic directions of the underlying partial differential equation.

2 the solution of a discretized version of the partial differential equation.

3 uous spatiotemporal dynamical evolution from partial differential equations.

4 l is a coupled two-phase two-layer system of partial differential equations.

5 ls is often modeled using reaction-diffusion partial differential equations.

6 the dynamics of root apical meristems, using Partial Differential Equations.

7 ent heat, and I ended up numerically solving partial differential equations.

8 The model is represented by a system of partial differential equations.

9 odel based on a system of reaction-diffusion partial differential equations.

10 We then solve these partial differential equations and compare them to the s

11 n is very different from the solution of the partial differential equation, and so the ordinary diffe

12 y for the group selection model by solving a partial differential equation, and that it is mathematic

13 Although partial differential equations are available to describe

14 h a mechanical model, we show that the model partial differential equations are similar in form.

15 Discontinuities in the solutions of these partial differential equations are widely recognized as

16 In this article, we show that the partial differential equations arising from classical el

17 lly similar to those previously derived from partial differential equations, but there are also some

18 al method, instead of solving the equivalent partial differential equation by a discretization method

19 A set of first order, partial differential equations comprise the model and we

20 Parameters derived from partial differential equation describing the process of

21 that there exists an analytical solution of partial differential equations describing mass transfer

22 The model consists of a system of nonlinear partial differential equations describing the interactio

23 The model takes the form of partial differential equations describing the membrane c

24 may then be simulated using either the VCell partial differential equations deterministic solvers or

25 of their model using a displacement integro-partial differential equation (DiPDE) population density

26 They rely on an initial value partial differential equation for a propagating level se

27 ted cytoplasmic compartment is replaced by a partial differential equation for the buffered diffusion

28 The model has three components: a transient partial differential equation for the simultaneous diffu

29 We consider a set of partial differential equations for diffusion and reactio

30 rrent pulses is preserved by the full set of partial differential equations for electrodiffusion.

31 atical framework based on reaction-diffusion partial differential equations for studying the dynamics

32 tion, we consider a spatio-temporal model of partial differential equations for the NF-kappaB pathway

33 The model consists of a nonlinear system of partial differential equations for the telomere classes.

34 n one or two dimensions via a set of coupled partial differential equations) generalize to a physical

35 odel in the framework of a nonlinear integro-partial differential equation governing biofluids flow i

36 alytic solutions for a system of n+1 coupled partial differential equations governing biomolecular ma

37 the orthogonal dynamics equation which is a partial differential equation in a high dimensional spac

38 The model consists of a coupled system of partial differential equations in the partially healed r

39 ng difficulties in the analysis of nonlinear partial differential equations including elliptic-hyperb

40 into the basic set of equations, a nonlinear partial differential equation is derived to describe the

41 A system of nonlinear transient partial differential equations is solved numerically usi

42 al model representing mycelia as a system of partial differential equations is used to simulate comba

43 he second model, posed as a set of nonlinear partial differential equations, is a continuous treatmen

44 ases can only be described by such a complex partial differential equation model and not by ordinary

45 The unknown functions in this nonlinear partial differential equation model are determined using

46 A density-based partial differential equation model describes the disper

47 A coupled partial differential equation model for MPB dispersal an

48 We formulate a simple partial differential equation model in an effort to qual

49 A partial differential equation model is developed to unde

50 In this article, we construct a partial differential equation model of a single colonic

51 We present a hybrid cellular automata-partial differential equation model of moderate complexi

52 d on these experimental data, we developed a partial differential equation model of MYOF effects on c

53 We used a partial differential equation model that postulates thre

54 We formulated a minimal one-dimensional partial differential equation model that reproduced the

55 x software for mixed-effects modeling with a partial differential equation model.

56 We first derived a partial differential equations model of gas exchange on

57 In this article, we formulate a partial-differential-equation model to describe the inte

58 uations and extracellular reaction-diffusion partial differential equations, model gene regulation.

59 tal results, is shown by reaction-diffusion, partial differential equation modeling and simulation to

60 into one- and two-dimensional inhomogeneous partial differential equation models of atrial tissue.

61 Previous partial differential equation models of tree water flow

62 Using partial differential equation models, new information ca

63 that captures intracellular dynamics through partial differential equation models.

64 such as meshes and solvers for ordinary and partial differential equations (ODEs/PDEs).

65 A continuum mechanical model and associated partial differential equations of the GC model have rema

66 n (FPE) (in this case an advection-diffusion partial differential equation on a growing domain) which

67 ds based on ordinary differential equations, partial differential equations, or the Gillespie stochas

68 The solution to the diffusion partial differential equation (PDE) that mimics the evol

69 spatial model converges to the solution of a partial differential equation (PDE).

70 Partial differential equations (PDE) were built to model

71 Evolutionary, pattern forming partial differential equations (PDEs) are often derived

72 This model couples macroscale partial differential equations posed over the tissue to

73 Computational models using partial differential equations provide mechanistic insig

74 Although the Lamm partial differential equation rigorously predicts the ev

75 rough numerical simulations of the governing partial differential equations, showing that concentrati

76 ge can be applied to traditional ordinary or partial differential equation simulations as well as age

77 integrating capabilities of a deterministic partial differential equation solver with a popular part

78 In many stochastic partial differential equations (SPDEs) involving random

79 ffects of electric fields on cells have used partial differential equations such as Laplace's equatio

80 difference discrete approximations to an sxs partial differential equation system with suitable obser

81 differential equations to a single nonlinear partial differential equation that is solved numerically

82 NLSE) stands out as the dispersive nonlinear partial differential equation that plays a prominent rol

83 In this study, we write down the partial differential equations that allow for spatial as

84 mputationally demanding time stepping of the partial differential equations that are often used to mo

85 ction kinetic models (in the form of coupled partial differential equations) that assume filament ine

86 For Partial Differential Equations, the crossing of infinity

87 existing numerical solutions of the relevant partial differential equations, the effective particle m

88 oretical model that starts from a well-known partial differential equation to describe the dithering

89 Here we examine the ability of each class of partial differential equation to support travelling wave

90 e our results to those based on ordinary and partial differential equations to better understand how

91 l modelling approaches, we derive systems of partial differential equations to capture the evolution

92 This model uses partial differential equations to describe the binding i

93 We have used partial differential equations to model the flow of spat

94 By incorporating this relation in a partial differential equation, we demonstrate that this

95 loiting the explicitly spatial nature of the partial differential equations, we are also able to mani

96 We avoid the use of partial differential equations which typically appear in

97 rocess gives rise to 22 different classes of partial differential equation, which can include Allee k

98 First, constant coefficient partial differential equations, which are randomly force

99 The model consists of a system of nonlinear partial differential equations whose parameters reflect