ライフサイエンスコーパス: partial differential

1 t extension of DNA strands by DNA polymerase partial differential.

2 Thus, ISSoc2 partial differential-1 and ISSoc2 partial differential-2

3 ISSoc2 has two variants (ISSoc2 partial differential-1 and ISSoc2 partial differential-2

4 novel placement of copies of ISSoc2, ISSoc2 partial differential-1, and ISSoc2 partial differential-

5 olar expansibility, its second derivative, ( partial differential(2)V degrees / partial differentialT

6 pansibility, its second derivative values, ( partial differential(2)V(0)/ partial differentialT(2)) a

7 V2( degrees )/ partial differentialT)P and ( partial differential(2)V2( degrees )/ partial differenti

8 us, ISSoc2 partial differential-1 and ISSoc2 partial differential-2 appear to be active nonautonomous

9 ts (ISSoc2 partial differential-1 and ISSoc2 partial differential-2) that are observed to have multip

10 2, ISSoc2 partial differential-1, and ISSoc2 partial differential-2.

11 V) is also convex in alpha > 0, and notably, partial differentials(alphaA + betaV)/ partial different

12 ally cooling stimulus, suggesting that the A partial differential and C fibers of the corneal innerva

13 The model, a system of partial differential and integro-differential equations

14 ll L-type enteroendocrine cells and to islet partial differential and PP cells.

15 pproach: finite-difference for approximating partial differential and/or integral equations, Newton-R

16 density increments partial differentialrho/ partial differentiald and partial differentialrho/ parti

17 es consistent with the conduction speed of A partial differential- and C-fibers.

18 e partial derivative, partial differential Y/partial differential C(m), which heretofore had been app

19 e determination of partial differential Y(v)/partial differential C(v), thereby providing estimates o

20 ded, helical peptide to RNA was determined ( partial differential (DeltaG degrees (dock))/ partial di

21 in a quantitative scale factor: SF = partial partial differential(DeltaG(HB))/partial partial differe

22 eltaG(D-N) on net charge for holo-alpha-LA, (partial differential) DeltaG(D-N)/(partial differential)

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

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

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

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

27 Parameters derived from partial differential equation describing the process of

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

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

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

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

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

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

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

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

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

37 A coupled partial differential equation model for MPB dispersal an

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

39 A partial differential equation model is developed to unde

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

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

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

43 We used a partial differential equation model that postulates thre

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

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

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

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

48 Previous partial differential equation models of tree water flow

49 Using partial differential equation models, new information ca

50 that captures intracellular dynamics through partial differential equation models.

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

52 Although the Lamm partial differential equation rigorously predicts the ev

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

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

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

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

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

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

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

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

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

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

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

64 characteristic directions of the underlying partial differential equation.

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

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

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

68 Partial differential equations (PDE) were built to model

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

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

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

72 Although partial differential equations are available to describe

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

94 Computational models using partial differential equations provide mechanistic insig

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

111 For Partial Differential Equations, the crossing of infinity

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

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

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

115 uous spatiotemporal dynamical evolution from partial differential equations.

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

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

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

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

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

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

122 alance laws, it produces a coupled system of partial differential-integral equations for the two spec

123 GCV treatment reduced partial differential K(1) and % dose/g of (14)C-ACPC in

124 C influx, K(1)(ACPC), facilitated transport, partial differential K(1)(ACPC), and % dose/g (ACPC) are

125 parametric images and changes in K(1)(ACPC), partial differential K(1)(ACPC), and % dose/g (ACPC) are

126 sma clearance (K(1)), (14)C-ACPC transport ( partial differential K(1)), relative glucose utililizati

127 ture dependence of isothermal bulk modulus ((partial differential)K(T,0)/(partial differential)T)(P)

128 entical with (partial differential ln Kobs)/(partial differential ln a(+/-)) for binding of the oligo

129 ith--partial partial differential ln K(obs)/ partial differential ln a+/- increases strongly with |Z(

130 because -S(a)K(obs) identical with--partial partial differential ln K(obs)/ partial differential ln

131 bs = -RT ln Kobs and Sa Kobs identical with (partial differential ln Kobs)/(partial differential ln a

132 a = 0.33 for silicates (or 0.9 for MgO), and partial differential[ln(kappalat)]/ partial differential

133 (lnk)/(partial differential)P approximately (partial differential)(lnK(T))/(partial differential)P, w

134 able models, the simplest of which predicts (partial differential)(lnk)/(partial differential)P appro

135 Published data on (partial differential)(lnk)/(partial differential)P at am

136 pe enzyme yield partial differential log Kd/ partial differential log [Na+] = 2.0 +/- 0.2, indicating

137 /= 0.14 M, with partial differential log Kd/ partial differential log [Na+] = 2.3 +/- 0.1, 1.8 +/- 0.

138 ents with NaF and the wild-type enzyme yield partial differential log Kd/ partial differential log [N

139 the range 0.018 M </= [Na+] </= 0.14 M, with partial differential log Kd/ partial differential log [N

140 log tau(lag)/ partial differential[urea] and partial differential log nu(max)/ partial differential[u

141 tional screening and fibrillation m-values ( partial differential log tau(lag)/ partial differential[

142 complex by determining the salt dependence [partial differential log(k 2/ K 1/2)/ partial differenti

143 artial differential (DeltaG degrees (dock))/ partial differential log[KCl]=5.98(+/-0.21)kcal/mol).

144 dence [partial differential log(k 2/ K 1/2)/ partial differential log[KCl]] of cleavage of the minima

145 entical with (partial differential logK(obs)/partial differential log[Na(+)]), decreased with increas

146 oncentration [- partial differential[log(K)]/partial differential(log[KCl]) = 6.3] as specific bindin

147 oncentration [- partial differential[log(K)]/partial differential(log[KCl]) = 9.3].

148 nd is very sensitive to KCl concentration [- partial differential[log(K)]/partial differential(log[KC

149 sensitive to monovalent ion concentration [- partial differential[log(K)]/partial differential(log[KC

150 og salt derivatives, SK(obs) identical with (partial differential logK(obs)/partial differential log[

151 ralized Szego projectors, we define modified partial differential-Neumann boundary conditions, Reo, f

152 is result differs from that reported for the partial differential-opioid receptor, which is also sort

153 odel consisted of a coupled set of nonlinear partial differential, ordinary differential and algebrai

154 ly compressible, with a bulk modulus (K = -V partial differential P/partial differential V) of 6.52(3

155 which predicts (partial differential)(lnk)/(partial differential)P approximately (partial differenti

156 blished data on (partial differential)(lnk)/(partial differential)P at ambient conditions agree rough

157 pproximately (partial differential)(lnK(T))/(partial differential)P, where K(T) is the bulk modulus.

158 oduce computationally tractable solutions of partial differential relations.

159 ial partial differential(DeltaG(HB))/partial partial differential(RT ln Phi), where DeltaG(HB) is the

160 ated the two-dimensional nonlinear parabolic partial differential system arising in the model.

161 The equation partial differential(t)u = u partial differential(xx)(2)

162 bulk modulus ((partial differential)K(T,0)/(partial differential)T)(P) is estimated at -3.75 +/- 1.8

163 s containing all-carbon gamma-quaternary and partial differential-tertiary stereocenters is reported.

164 -values ( partial differential log tau(lag)/ partial differential[urea] and partial differential log

165 [urea] and partial differential log nu(max)/ partial differential[urea]) indicate moreover that the f

166 bulk modulus (K = -V partial differential P/partial differential V) of 6.52(35) GPa, the most compre

167 ensions N >/= 9, we find a solution, u, with partial differential(x(N))u > 0, such that its level set

168 t)u = u partial differential(xx)(2)u -(c-1)( partial differential(x)u)(2) is known in literature as a

169 The equation partial differential(t)u = u partial differential(xx)(2)u -(c-1)( partial differentia

170 n problem by permitting the determination of partial differential Y(v)/partial differential C(v), the

171 rmination of the elusive partial derivative, partial differential Y/partial differential C(m), which

172 lpha-LA, (partial differential) DeltaG(D-N)/(partial differential)Z = -0.14Z kJ/mol per unit of charg