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 The governing partial differential conservation equations for mass, mo

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

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

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

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

25 thematical tools for investigating nonlinear partial differential equation (NLPDEs) and provide new i

26 The optimization subjects to a set of partial differential equation (PDE) constraints that des

27 -fidelity dynamical models directly in their partial differential equation (PDE) forms with both Mark

28 We also applied the reaction-diffusion partial differential equation (PDE) mathematical model,

29 derived from a mechanistic, spatiotemporal, Partial Differential Equation (PDE) model of epidemic sp

30 Reaction-diffusion partial differential equation (PDE) models have been onl

31 mputational modeling can then be used to fit partial differential equation (PDE) models to the data,

32 Thus, it outperforms traditional partial differential equation (PDE) solvers, machine lea

33 n Hamiltonians, which allows us to solve any partial differential equation (PDE) that is equivalent t

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

35 plex dynamics from time series of images and Partial Differential Equation (PDE) trajectories.

36 l (3D) segmentation process with an unsteady partial differential equation (PDE), which allows accele

37 onsistent electrochemical phase-field model, partial differential equation (PDE)-constrained optimiza

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

39 zed form of the governing reaction-diffusion partial differential equation (PDE).

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

41 Parameters derived from partial differential equation describing the process of

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

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

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

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

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

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

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

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

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

51 A coupled partial differential equation model for MPB dispersal an

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

53 A partial differential equation model is developed to unde

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

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

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

57 In this paper, we present a partial differential equation model that accounts for th

58 hat tracks the position of individuals and a partial differential equation model that describes locus

59 We used a partial differential equation model that postulates thre

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

61 We employ an age-structured partial differential equation model to characterize seas

62 nd strict adherence to the Fisher-Kolmogorov partial differential equation model, which is adapted fo

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

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

65 By implementing experimental in vitro data, partial differential equation modeling, as well as autom

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

67 odel corresponds probabilistically to common partial differential equation models of resistance allow

68 Previous partial differential equation models of tree water flow

69 Using partial differential equation models, new information ca

70 that captures intracellular dynamics through partial differential equation models.

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

72 Although the Lamm partial differential equation rigorously predicts the ev

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

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

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

76 d computational model (agent-based model and partial differential equation system), we developed a si

77 experimentally, on discovering a variety of partial differential equation systems with different lev

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

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

80 meter is also assigned to a fractional-order partial differential equation to depict the previous pow

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

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

83 cs of the combined system can be mapped to a partial differential equation, and for a suitable choice

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

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

86 Nested Laplace Approximation with Stochastic Partial Differential Equation, INLA-SPDE) is used to pre

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

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

89 h as molecular dynamics (MD), and stochastic partial differential equation-based hydrodynamic models,

90 from observing thermal wave dynamics, using partial differential equation-constrained optimization.

91 characteristic directions of the underlying partial differential equation.

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

93 sified in mathematics as a linear, parabolic partial-differential equation.

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

95 tal region are predicted by solving a set of partial differential equations (Ampere's law and Gauss'

96 es from additional nonlinear, time-dependent partial differential equations (Burgers equation, Kuramo

97 sing problem appear in the form of nonlinear partial differential equations (NPDEs) against the conse

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

99 Partial differential equations (PDE) learning is an emer

100 Partial differential equations (PDE) were built to model

101 t laboratory experiments or macroscale-level partial differential equations (PDEs) (among others).

102 in modelling physical processes described by partial differential equations (PDEs) and are in princip

103 The partial differential equations (PDEs) are derived using

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

105 ing potential for the recovery of underlying partial differential equations (PDEs) from continuum sim

106 Data-driven discovery of partial differential equations (PDEs) is a promising app

107 The numerical solution of partial differential equations (PDEs) is challenging bec

108 Solving partial differential equations (PDEs) is the cornerstone

109 Partial differential equations (PDEs) play a central rol

110 are typically complex and involve dozens of partial differential equations (PDEs) representing vario

111 have recently become attractive for solving partial differential equations (PDEs) that describe phys

112 We use a framework, based on partial differential equations (PDEs) to explore how res

113 We argue that partial differential equations (PDEs), beyond convention

114 uations of a physical system, represented by partial differential equations (PDEs), from data is a ce

115 oral systems, whose dynamics are governed by partial differential equations (PDEs), state estimators

116 g the material transport process via solving partial differential equations (PDEs), they require long

117 del agents and diffusive fields described by partial differential equations (PDEs).

118 f scientific computing's arsenal for solving partial differential equations (PDEs).

119 racteristics and assumptions is framed using partial differential equations (PDEs).

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

121 rlying ACTIS can be described by a system of partial differential equations allowing for a virtual AC

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

123 Recently, fractional- order partial differential equations are attracting attention

124 Although partial differential equations are available to describe

125 tions, wherein the unknown parameters of the partial differential equations are initially assigned ra

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

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

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

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

130 d valley networks is produced by a system of partial differential equations coupling landscape evolut

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

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

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

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

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

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

137 membrane potential dynamics, and a system of partial differential equations for myoplasmic and lumena

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

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

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

141 with sparse regression to discover governing partial differential equations from scarce and noisy dat

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

143 rkin family of methods for solving continuum partial differential equations has shown promise in real

144 ynamics in physical applications governed by partial differential equations in real-time is nearly im

145 fy conservation laws, which are expressed as partial differential equations in space and time.

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

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

148 similarity variables to simplify the complex partial differential equations into ordinary differentia

149 ity transformation, the nonlinear systems of partial differential equations is converted into nonline

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

151 in mathematical fluid dynamics and nonlinear partial differential equations is to determine whether s

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

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

154 Fitting a partial differential equations model of population dynam

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

156 lated Raman scattering into a unified set of partial differential equations persists.

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

158 Computational models using partial differential equations provide mechanistic insig

159 ng experimental measurements and chemotactic Partial Differential Equations requires knowledge of the

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

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

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

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

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

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

166 We used partial differential equations to explore the potential

167 mics, using nested birth-death processes and partial differential equations to model natural selectio

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

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

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

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

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

173 inflammatory mediators is described through partial differential equations, and immune cells (neutro

174 problems of ordinary differential equations, partial differential equations, and mean-field control p

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

176 The model, based on age-structured partial differential equations, integrates experimental

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

178 alysis, as well as the numerical solution of partial differential equations, is required to carry out

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

180 takes the mathematical form of three coupled partial differential equations, one that describes the m

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

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

183 For Partial Differential Equations, the crossing of infinity

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

185 es, we then show how one can learn effective partial differential equations, using neural networks, t

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

187 how well the method works to solve nonlinear partial differential equations, which are common in math

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

189 e modeled the dynamics of T cell density via partial differential equations.

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

191 uous spatiotemporal dynamical evolution from partial differential equations.

192 to learn Green's functions of hidden linear partial differential equations.

193 earn effective evolution laws in the form of partial differential equations.

194 ele across a landscape using two-dimensional partial differential equations.

195 ITE as a quantum numerical solver for linear partial differential equations.

196 -likelihood analysis in problems governed by partial differential equations.

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

198 ochastic cellular automata and deterministic partial differential equations.

199 lvers of full order models (FOM) for solving partial differential equations.

200 s of TCRs into estimated model parameters of partial differential equations.

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

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

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

204 , enables the discretization and solution of partial differential equations.

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

206 and bifurcation structure of this system of partial-differential equations, showing the existence of

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

222 /= 0.14 M, with partial differential log Kd/ partial differential log [Na+] = 2.3 +/- 0.1, 1.8 +/- 0.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

243 oduce computationally tractable solutions of partial differential relations.

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

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

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

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

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

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

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

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

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

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

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

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

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

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