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1 ities were well described by a two-parameter stochastic model.
2 ate during use) nanoRelease is designed as a stochastic model.
3 s, and cell spreading as a three-dimensional stochastic model.
4 ophic expenditure due to surgery, we built a stochastic model.
5 he same level of predictive capability as do stochastic models.
6 is unknown and generally ignored by current stochastic models.
7 oncogenesis) can be difficult to observe in stochastic models.
8 ministic rather than random, as suggested by stochastic models.
9 estimated by incorporating such factors into stochastic models.
10 ric correlation matrices for these nonlinear stochastic models.
11 on in boundary sharpening using multi-scale, stochastic models.
12 ghting the need for analysis of more general stochastic models.
13 me must be considered, which is achieved via stochastic modeling.
14 proposed experiments with the use of spatial stochastic modeling.
15 rtitioning at cell division; and c), a fully stochastic model accommodating both sources of populatio
18 d on single-motor parameters, we developed a stochastic model and a mean-field theoretical descriptio
21 ave incorporated the torque mechanism into a stochastic model and simulated transcription both with a
22 V = 10(-2) to 100 m/s by mapping on a simple stochastic model and turns out to be of the order of gam
25 cribe the APD signal using an autoregressive stochastic model, and we establish the interrelations be
26 onstrated this approach mathematically using stochastic modeling, and applied it to experimental time
27 nstrate this principle mathematically, using stochastic modeling, and experimentally, using simple sy
29 vity analysis method that is appropriate for stochastic models, and we demonstrate how this analysis
30 tes were calculated with a tension-dependent stochastic model applied to FnIII modules in each molecu
35 ty of our approach lies in specifying latent stochastic models at the single-cell level, and then agg
37 l division events are evaluated, including a stochastic model based on the probability of cell divisi
41 noise control analysis can be applied to any stochastic model belonging to continuous time Markovian
42 nd that anomalous speeds are observed in the stochastic model, but only when the carrying capacity of
43 atistical verification and model checking of stochastic models by providing an effective means for ex
44 h, we quantify cell division control using a stochastic model, by inferring the division rate as a fu
46 Moreover, we illustrate how the identified stochastic model can be used to determine light inductio
50 Furthermore, we show that only with the full stochastic model can the relative importance of environm
52 ters, especially for small populations where stochastic models can be expected to differ most from th
53 echnique for integrating dynamic features in stochastic models can be extended to any subduction zone
56 not fully capture the observed behavior, our stochastic model correctly predicts the experimental dyn
58 a of ribosomal density on mRNAs with a novel stochastic model describing ribosome traffic dynamics du
61 subjected to microstructural analyses using stochastic models describing the relative contributions
62 hical model for cancerous stem cells and the stochastic model, driven by the observation of chromosom
66 To explain our results we propose a spatial stochastic model (following a philosophy of the Widom-Ro
70 nderstand this finding, we propose a general stochastic model for mutually interacting complex system
81 nd assessed the appropriateness of different stochastic models for describing HCV focus expansion.
82 ovides a possible behavioral explanation for stochastic models for financial systems in general and p
83 core of the computer climate models, reduced stochastic models for low-frequency variability, and mod
87 es were recorded on a categorical scale, and stochastic models for year-to-year changes in abundance
88 porating these phenomena into our multiscale stochastic modeling framework significantly changes the
89 a quality than prior studies, (2) advances a stochastic modeling framework to include microbial inact
92 As an alternative to parsimony analyses, stochastic models have been proposed for morphological c
94 ach-scale tracer experiments, and multiscale stochastic modeling improves assessment of microbial tra
95 stic model dependent on fixed lineages and a stochastic model in which choices of division modes and
96 he exact analytical solution of a simplified stochastic model, in which the numbers of competing mRNA
98 ractions in excellent agreement with a local stochastic model, indicating that long-range correlation
105 ct, the likelihood of the data under complex stochastic models is often analytically or numerically i
106 D(3)E is based on an analytically tractable stochastic model, it provides additional biological insi
107 odels written in a variant of the rule-based stochastic modelling language Kappa, with spatial extens
119 lar trends are predicted by a discrete state stochastic model of collective motor dynamics, these ana
122 ether human cancer follows a hierarchical or stochastic model of differentiation is controversial.
124 In this study, we have created an integrated stochastic model of DNA damage repair by non-homologous
127 ss of containment strategies, we developed a stochastic model of Ebola transmission between and withi
134 probability of fixation is used to develop a stochastic model of joint male and female phenotypic evo
138 presents the first, to our knowledge, fully stochastic model of neutrophil activation, which, though
140 he kinetics of nucleosome organization, in a stochastic model of nucleosome positioning and dynamics.
146 lts with those from a simple one-dimensional stochastic model of population dynamics at the base of t
152 hm of the total probability of a MSA under a stochastic model of sequence evolution along a time axis
154 he solver is then applied to a deterministic-stochastic model of spontaneous emergence of cell polari
155 ibution, we compare live-cell imaging with a stochastic model of telomere dynamics that we developed.
156 derstand stiffness sensing, we constructed a stochastic model of the "motor-clutch" force transmissio
158 in vitro "mini gut" studies, we use a hybrid stochastic model of the crypt to investigate how exogeno
159 ctors interact, we built a three-dimensional stochastic model of the experimentally observed isotropi
160 By incorporating these observations into a stochastic model of the flagellar bundle, we demonstrate
164 avior and statistics of long trajectories, a stochastic model of their nonequilibrium motion is requi
173 ccounted for by a newly-developed Lagrangian stochastic model of weakly-flying insect movements in th
175 mast cell, which then served as a basis for stochastic modeling of inositol-trisphosphate-mediated c
177 le-cell time-lapse luminescence imaging with stochastic modeling of the time traces, we quantified th
178 a proof of concept, this approach shows that stochastic modelling of a specific immune networks rende
180 The incorporation of domain growth into stochastic models of biological processes is of increasi
182 imating crowding effects with coarse-grained stochastic models of capsid assembly, using the crowding
184 Ecosystem thresholds can be combined with stochastic models of disturbance to identify targets for
185 the noise contributions predicted by correct stochastic models of either intrinsic or extrinsic mecha
188 xtension, and we compared this behavior with stochastic models of Fn fibers with different molecular
189 significant interest in efforts to calibrate stochastic models of gene expression and obtain informat
190 s issue, we invoke a mapping between general stochastic models of gene expression and systems studied
194 of the process algebra approach is to allow stochastic models of the population (parasite and immune
195 se and spread, often in ways consistent with stochastic models of transcription and translation.
199 he clinical data was observed in case of the stochastic model projections as compared to their determ
201 re behind the observed noise reduction and a stochastic model provides quantitative support to the pr
202 y of this simple principle by reconstructing stochastic models (reaction structure plus propensities)
214 ic biology by reference to deterministic and stochastic model systems exhibiting adaptive and switch-
216 Here we report the development of a spatial stochastic model that addresses the dynamics of ErbB3 ho
217 babilistic and equation-free analyses of the stochastic model that calculate stationary states for th
221 stability of microtubules, we propose here a stochastic model that includes all relevant biochemical
223 T cell repertoire diversity maintenance by a stochastic model that incorporates the concept of compet
224 ccount for these observations with a minimal stochastic model that is based on an autocatalytic cycle
227 aments is investigated theoretically using a stochastic model that takes into account the hydrolysis
229 random-impact rule allows us to formulate a stochastic model that uncouples the effects of productiv
230 However, accessing this source requires stochastic models that are usually difficult to analyze.
232 issect this data requires the development of stochastic models that can both deconvolve the stages of
233 By analyzing this large dataset, we identify stochastic models that can explain evolutionary patterns
234 ysical reasoning is utilized to build simple stochastic models that capture the significant intermitt
235 istic worlds, leading to spatially explicit, stochastic models that encompass speciation, extinction,
238 h and derive corresponding deterministic and stochastic models that incorporate biological details.
239 ference hinges critically both on developing stochastic models that provide a reasonable description
240 pes were known, we developed two alternative stochastic models that relate p16(INK4a) expression to a
242 mbination of experimental data and a general stochastic model, that the degree of phenotypic variatio
243 n, we calibrated a dynamic, individual-based stochastic model, the HIV Synthesis Model, to multiple d
244 r addressing this problem for discrete-state stochastic models, the analysis of SDE and other continu
245 In contrast to previous one-dimensional stochastic models, the presented simulation approach can
246 ower the maximal absolute eigenvalues of the stochastic model, thereby contributing to increased stab
248 thod allows the steady-state behavior of the stochastic model to be easily computed, facilitates the
249 albopictus; the former was assessed using a stochastic model to calculate R0 and the latter was asse
250 ddress this gap by developing a mechanistic, stochastic model to characterize phosphorus, nitrogen, b
252 f cytochrome c and ubiquinone pool using the stochastic model to evaluate the DeltaG of the bc(1) com
258 and range size of species arising under our stochastic model to those observed across 1,269 species
263 Here, we develop simple deterministic and stochastic models to compare the confinement properties
267 We illustrate the use of spatially explicit stochastic models to optimize targeting of surveillance
269 mportance of building biologically realistic stochastic models to test biological models more stringe
270 tive insights into these results and a novel stochastic model tracking cell-volume and cell-cycle pre
277 the mean search time for the discrete-state stochastic model, we derived analytical forms of the app
280 g candidate filament turnover pathways using stochastic modeling, we found that exponential polymer m
281 riments, Bayesian statistical inference, and stochastic modeling, we introduce and illustrate a strat
284 prints and fingerprints generated by several stochastic models, we derive accurate approximations for
285 riginal deterministic models approximate the stochastic model well in most situations, but that the n
287 n essential tool for the analysis of complex stochastic models when the likelihood function is numeri
288 ection of images is estimated by first using stochastic modelling where the locations of clusters in
289 an increasing appetite for individual-based stochastic models which can capture the fine details of
290 tudying transient and long-term behaviour of stochastic models which have periodic phases-several dif
291 nal response in budding yeast to calibrate a stochastic model, which is then used as a basis for pred
292 tate transitions can be described by using a stochastic model, which predicts that ICE fitness is opt
293 intensive time-series datasets and improved stochastic modelling will help to explore their importan
294 MPL results could be reproduced by a simple stochastic model with a single adjustable parameter.
295 atistically exactly solvable one-dimensional stochastic model with relevance for low frequency variab
296 ta analysis method that combines mechanistic stochastic modelling with the powerful methods of non-pa
298 and deterministic models as well as between stochastic models with time-series and time-point measur
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