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1 late to other analyses both conceptually and mathematically.
2 are monitored systematically and deconvolved mathematically.
3 ed a simplified matK gene expression network mathematically.
4 and could be modeled both statistically and mathematically.
5 data to model individual acquisition curves mathematically.
6 shown to be bistable both experimentally and mathematically.
7 xG), and S(MaxG_root), which we demonstrated mathematically.
8 r all lumophores involved can be represented mathematically.
9 e to solve for optimal vaccine distributions mathematically.
10 ics of GSL transfer, is presented and solved mathematically.
11 Defect volume was computed mathematically.
12 yet to be quantified empirically or modeled mathematically.
13 as been well studied both experimentally and mathematically.
14 ationally expensive and difficult to analyse mathematically.
16 The best level of predictability (99.6%) was mathematically achieved when severe centrilobular NIA an
17 eoretical basis of the technique is analyzed mathematically, allowing quantitative estimation of bind
18 ion and maximization of diversity, which are mathematically analogous to energy and entropy in thermo
19 e patterning of haemocyte movements, we have mathematically analysed and simulated their contact repu
20 , so that the entire forest can be described mathematically and behaves structurally and functionally
23 urrent-clamp recordings we have defined both mathematically and experimentally the relationship betwe
25 by anaerobic ethylbenzene hydroxylation both mathematically and experimentally, develops alternative
27 utrition Examination Survey were reevaluated mathematically and graphically based on the preliminary
30 rify this question, we modelled this process mathematically and performed extensive deterministic and
32 due to anemia is prevalent, can be corrected mathematically, and correction uncovers occult hypoglyce
34 show that inclusion of processes represented mathematically as density-dependent regulation of either
35 erials, and how materials can be represented mathematically as genomes, describes fitness landscapes
37 as a function of time that was then modeled mathematically based on iodine mass and volume balances.
41 unconstrained parameters and can be analyzed mathematically both at neuronal and cognitive levels.
46 n curves for each lipid, which were analyzed mathematically by polynomial regression for accurate qua
47 ipid geometry within the vesicles, described mathematically by the average intrinsic curvature, C(0,a
48 ed as a continuous elastic ribbon, described mathematically by the nonlinear Kirchhoff differential e
49 by cooperative interactions and is described mathematically by the slope parameter or Hill coefficien
50 and, if possible, their results are combined mathematically by using a process known as meta-analysis
52 (TCGA) and in-house patient databases can be mathematically classified into high miR-21/low Sox2 (Cla
53 ould brain signals be spatially selected and mathematically combined to ensure that decoding reflects
54 we present a new theoretical approach which mathematically combines PATHWAY donor/acceptor coupling
55 enged due to the use of highly-parameterized mathematically complex structures to capture the release
56 al understanding, a conceptually simple, but mathematically complex, model is proposed for the dynami
57 ure, which has long been sought and has been mathematically computed and known to exist in the resear
59 ional approach to dissipative systems allows mathematically consistent treatment of the bio-ions Na(+
61 ch for describing RNA structure in a simple, mathematically consistent, and computationally accessibl
62 intuition about this system can be gained by mathematically constructing a single gene with effective
63 antifying the effect size of cis-eQTLs and a mathematically convenient approach for systematic modeli
64 any other basic population models, makes the mathematically convenient assumption that populations ar
66 es a composite fluorescent contour, which is mathematically converted to a sequence-specific fluoresc
68 ents in our ability to characterize the data mathematically could enable much more powerful statistic
69 Na(+), K(+), Rb(+), or Cs(+) counterions, we mathematically decompose the scattering profiles into co
70 Recently, we resolved individual CnClm by mathematically deconvolving soft ionization high-resolut
71 patial extent of their axon trees suggests a mathematically definable organization, reminiscent of 's
73 metabolism of E.coli into elementary modes (mathematically defined biochemical pathways) and assessi
77 r the capacity for multistationarity, and we mathematically demonstrate that shuttling confers flexib
82 ptic plasticity termed the "Convallis rule", mathematically derived from a principle of unsupervised
84 We introduce here the use of a portfolio of mathematically derived immittance functions and related
85 p (EcCrp, also CAP) and DNA were analyzed to mathematically describe, and make human-readable, the re
87 ed real-time patterns of memory traces to be mathematically described, directly visualized, and dynam
90 that survived the double interrogation were mathematically different but schematically identical and
93 es of a gene in a population of cells can be mathematically dissected into two contributing component
94 erlapping in a chromatographic separation by mathematically dissecting the NMR spectra obtained from
96 al identifications necessary to move primary mathematically driven LC-EC biomarker discovery into bio
98 arch results from these methods could not be mathematically equated to the USDA Starch Research metho
99 he initial bolus and ion current models give mathematically equivalent predictions for length control
100 ging study, we investigated how people solve mathematically equivalent problems presented in two alte
101 sized that the four methods of communicating mathematically equivalent risk information would lead to
102 reated with a classical (non quantum) model, mathematically equivalent to a Nernst distribution for o
106 , decomposition of linkage disequilibrium is mathematically equivalent to number theoretic compositio
108 e vertical shifts of neighbouring chains-are mathematically equivalent to the phase angles of rotatin
109 adeoff between probability and numerosity is mathematically equivalent to the relationship between en
110 information within experimental units and is mathematically equivalent to the treatment level in a ne
111 In addition, we use a binding isotherm to mathematically estimate the loading capacity of the dend
113 hydrodynamic volume of the attached entity, mathematically expressed by its intrinsic viscosity [eta
115 is has led to a reliance on metrics that are mathematically flawed and insufficiently diverse to acco
117 .2 kPa]); and c) the inspired CO2 calculated mathematically for a semiclosed system model of CO2 rebr
119 of different cognitive processes that can be mathematically formalised as dissociable computational m
121 states of polarization (SOP) has always been mathematically formulated by a series of linear transfor
123 ped a physics model for the TIMES signal and mathematically formulated the problem to attain physical
125 et of data samples, or of profiles extracted mathematically from data samples, designated the "basis"
126 s can be synthesised, only a fraction of the mathematically generated networks would be chemically fe
128 eraction profiles, which we biologically and mathematically grouped into five positive and five negat
129 believe is the first such a design that has mathematically guaranteed properties of stability and au
132 first show experimentally, and then explain mathematically, how even in the simplest signaling syste
133 tative approach to modeling behavior that is mathematically identical across species, and accruing ev
135 for Saito's 3-step mechanism is shown to be mathematically identical to the earlier, 1997 2-step F-W
136 a nonlinear classical-field equation that is mathematically identical to the Landau model and provide
137 imple "parsimonious" rabbit AP model that is mathematically identifiable (i.e., not over parameterize
138 from 72 immunogen-parasite combinations, we mathematically identified 13 amino acid polymorphic site
141 artial differential equation, and that it is mathematically impossible to do this using inclusive fit
146 perty because it means that the inference is mathematically incorrect and formally illogical, and the
150 ndex was confirmed in group 2 subjects using mathematically independent techniques to measure these v
151 CD4 T-cell responses to vaccinia virus were mathematically indistinguishable for antigen breadth and
154 or 11 generic consumer strategies that group mathematically into predators, parasites, and micropreda
155 etrospectively or prospectively according to mathematically intractable genetic models, and to assist
159 f whether such actuarial methods are in fact mathematically justified, even under the most idealized
160 certain successive steps together to yield a mathematically less complex representation that is able
163 rganism Escherichia coli, it was our goal to mathematically model a metabolic system of intermediate
164 le to infrared radiation that can be used to mathematically model and predict selectivity trends for
165 mplex biological systems, it was our goal to mathematically model common enzyme catalytic and regulat
166 bfemtoliter nuclear volumes and used this to mathematically model DSB response kinetics of MDC1 and o
167 the detailed inhibition kinetics required to mathematically model HCV RNA decline have been lacking.
168 ues, including a novel MP grammars method to mathematically model putative regulatory interactions am
174 of eukaryotic mRNA from total RNA was first mathematically modeled and then achieved using PPM in ca
175 y-free core has been previously observed and mathematically modeled and was termed the "binding site
179 delta's roles in inflammatory signaling, we mathematically modeled the 4-IkappaB-containing NF-kappa
181 vical cancer cells and, based on these data, mathematically modeled the proapoptotic TRAIL signaling
182 o understand the basis for this reversal, we mathematically modeled these T(CD8+) responses and used
183 and NIK with NF-kappaB2/p100 processing, we mathematically modeled TRAF1.NIK as a coupling signaling
187 otemporal distribution of Abeta in AD can be mathematically modeled using a logistic growth model in
189 c flow, and their shapes both evaluated, and mathematically modeled, before subsequent shell solidifi
191 displacement-weighted velocity analysis and mathematically modeling the results, we found that K40 a
193 dently of one another, this behaviour can be mathematically modelled as a random process based on the
197 , we scanned professional mathematicians and mathematically naive subjects of equal academic standing
198 neurons on very short timescales, which are mathematically nearly independent of neuronal interactio
199 mber, radius, and tortuosity were calculated mathematically, normalized with values obtained in 34 he
201 so used dynamic programming to calculate the mathematically optimal control laws of an "ideal actor"
202 models, we develop a new methodology to find mathematically optimal schedules of light exposure and a
208 raphs (RAG) database describes and ranks all mathematically possible (including existing and candidat
211 resent the lowest trial-to-trial variability mathematically possible for responses of a given firing
214 on dynamics in Drosophila imaginal discs, we mathematically predict the convergence of epithelial top
216 CT image quality and radiation dose can be mathematically predicted and optimized on the basis of p
220 ommunity detection in networks and develop a mathematically principled approach that combines a netwo
222 do is always superior to that which would be mathematically propagated assuming independent measureme
225 tation resolves sequences' degeneracy and is mathematically proven to eliminate circuit formation.
234 n the present study, we used this metric and mathematically rigorous joint-action analysis to investi
239 ave found a physical realization of the only mathematically rigorous route to a non-Fermi liquid, nam
247 rdependent events is ultimately reduced to a mathematically simple model, whose two parameters can be
248 This temperature profile was compared with a mathematically simulated profile generated by a cold-cap
253 n this paper we explore (computationally and mathematically) such situations with the goal of uncover
260 between reward and neural activity and prove mathematically that matching is a generic outcome of suc
264 tive form of Rho to the active form, we show mathematically that this active regulation of cellular c
267 onitor disease progression; and 2) to assess mathematically the diagnostic power of potential biomark
268 al, and measurement fluctuations, we dissect mathematically the relevant sources of fluctuations that
269 al equations, we are also able to manipulate mathematically the spatial location of the ribosomes, th
274 mbe to characterize, both experimentally and mathematically, the in vivo contributions of Cdk1-mediat
279 ontains slopes larger than a critical value; mathematically they are traveling waves (shocks) that ha
283 It turns out that this problem is identical mathematically to the balls in urns occupancy problem in
284 , we demonstrate that this model corresponds mathematically to the well-known Cahn-Hilliard equation
287 ree distributions are reproduced in a simple mathematically tractable model introduced and analyzed i
291 c development of simple test models that are mathematically tractable yet capture key features of ani
292 al histology, have focused on evaluating and mathematically transforming the radiofrequency signal fr
293 retic gel migration lengths or mRNA lengths, mathematically unique decorrelated and decoupled "eigeng
294 try and thermodynamic irreversibly to define mathematically unique, systemic metabolic pathways.
297 template" patterning mechanism we observe is mathematically very different from the well-known Turing
298 being open curves in which the knots are not mathematically well defined; knotting can only be identi
299 hin the set of SNPs under investigation in a mathematically well-controlled manner into account.
300 ther, these results show that GNM provides a mathematically well-founded unified framework for modeli
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