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1 ophic expenditure due to surgery, we built a stochastic model.
2 ities were well described by a two-parameter stochastic model.
3 yses of these dependencies by establishing a stochastic model.
4 s, and cell spreading as a three-dimensional stochastic model.
5 ate during use) nanoRelease is designed as a stochastic model.
6 ghting the need for analysis of more general stochastic models.
7 he same level of predictive capability as do stochastic models.
8 is unknown and generally ignored by current stochastic models.
9 oncogenesis) can be difficult to observe in stochastic models.
10 ministic rather than random, as suggested by stochastic models.
11 c models and Gillespie's algorithm (SSA) for stochastic models.
12 on in boundary sharpening using multi-scale, stochastic models.
13 me must be considered, which is achieved via stochastic modeling.
14 proposed experiments with the use of spatial stochastic modeling.
17 d on single-motor parameters, we developed a stochastic model and a mean-field theoretical descriptio
19 ave incorporated the torque mechanism into a stochastic model and simulated transcription both with a
20 V = 10(-2) to 100 m/s by mapping on a simple stochastic model and turns out to be of the order of gam
24 In this review, we aim to raise awareness of stochastic models and how to combine them with existing
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
28 vity analysis method that is appropriate for stochastic models, and we demonstrate how this analysis
29 tes were calculated with a tension-dependent stochastic model applied to FnIII modules in each molecu
34 lts using Monte Carlo simulation in a tiered stochastic modeling approach: exposures were the highest
38 ty of our approach lies in specifying latent stochastic models at the single-cell level, and then agg
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
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 ake an information theoretic analysis of two stochastic models concerning glioma differentiation ther
59 ally leads to the coarsest deterministic and stochastic models containing only four molecular species
64 a of ribosomal density on mRNAs with a novel stochastic model describing ribosome traffic dynamics du
69 To explain our results we propose a spatial stochastic model (following a philosophy of the Widom-Ro
73 nderstand this finding, we propose a general stochastic model for mutually interacting complex system
80 larization model based on coupling between a stochastic model for the segregation of signaling molecu
85 nd assessed the appropriateness of different stochastic models for describing HCV focus expansion.
86 ovides a possible behavioral explanation for stochastic models for financial systems in general and p
87 core of the computer climate models, reduced stochastic models for low-frequency variability, and mod
88 es were recorded on a categorical scale, and stochastic models for year-to-year changes in abundance
89 porating these phenomena into our multiscale stochastic modeling framework significantly changes the
91 a quality than prior studies, (2) advances a stochastic modeling framework to include microbial inact
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 tease out the role of cooperative binding in stochastic models in comparison to deterministic models,
97 he exact analytical solution of a simplified stochastic model, in which the numbers of competing mRNA
100 ractions in excellent agreement with a local stochastic model, indicating that long-range correlation
106 boundary layer, but we found that Lagrangian stochastic modelling is effective at predicting flight m
107 ct, the likelihood of the data under complex stochastic models is often analytically or numerically i
108 D(3)E is based on an analytically tractable stochastic model, it provides additional biological insi
109 odels written in a variant of the rule-based stochastic modelling language Kappa, with spatial extens
110 ory and simulations that use of the standard stochastic models leads to drastically incorrect predict
115 nalysis of disease progression is based on a stochastic model of a population of infectious agents in
122 lar trends are predicted by a discrete state stochastic model of collective motor dynamics, these ana
123 idate such mechanisms, we herein introduce a stochastic model of combined epigenetic regulation (ER)-
125 es that these outcomes are compatible with a stochastic model of cortical neurogenesis in which proge
126 ether human cancer follows a hierarchical or stochastic model of differentiation is controversial.
129 In this study, we have created an integrated stochastic model of DNA damage repair by non-homologous
131 ss of containment strategies, we developed a stochastic model of Ebola transmission between and withi
135 extension of our previously published hybrid-stochastic model of FOCM by including the 5fTHF futile-c
139 probability of fixation is used to develop a stochastic model of joint male and female phenotypic evo
141 erty line can be derived from an agent-based stochastic model of market exchange, combining all expen
145 he kinetics of nucleosome organization, in a stochastic model of nucleosome positioning and dynamics.
149 lts with those from a simple one-dimensional stochastic model of population dynamics at the base of t
156 hm of the total probability of a MSA under a stochastic model of sequence evolution along a time axis
159 he solver is then applied to a deterministic-stochastic model of spontaneous emergence of cell polari
160 ibution, we compare live-cell imaging with a stochastic model of telomere dynamics that we developed.
162 in vitro "mini gut" studies, we use a hybrid stochastic model of the crypt to investigate how exogeno
163 ctors interact, we built a three-dimensional stochastic model of the experimentally observed isotropi
164 By incorporating these observations into a stochastic model of the flagellar bundle, we demonstrate
167 avior and statistics of long trajectories, a stochastic model of their nonequilibrium motion is requi
176 ccounted for by a newly-developed Lagrangian stochastic model of weakly-flying insect movements in th
179 le-cell time-lapse luminescence imaging with stochastic modeling of the time traces, we quantified th
180 a proof of concept, this approach shows that stochastic modelling of a specific immune networks rende
181 HUVECs exposed to different flow conditions, stochastic modelling of flow induced NF-kB activation an
183 results open the door to the development of stochastic models of beach, dune, and barrier dynamics,
184 The incorporation of domain growth into stochastic models of biological processes is of increasi
185 imating crowding effects with coarse-grained stochastic models of capsid assembly, using the crowding
186 the noise contributions predicted by correct stochastic models of either intrinsic or extrinsic mecha
189 xtension, and we compared this behavior with stochastic models of Fn fibers with different molecular
190 significant interest in efforts to calibrate stochastic models of gene expression and obtain informat
191 s issue, we invoke a mapping between general stochastic models of gene expression and systems studied
199 of the process algebra approach is to allow stochastic models of the population (parasite and immune
200 se and spread, often in ways consistent with stochastic models of transcription and translation.
201 r experimental results with predictions from stochastic models of transcription, which indicated that
206 he clinical data was observed in case of the stochastic model projections as compared to their determ
208 re behind the observed noise reduction and a stochastic model provides quantitative support to the pr
209 y of this simple principle by reconstructing stochastic models (reaction structure plus propensities)
211 formulate a multiscale asymptotic method for stochastic model reduction, from which we derive an effi
218 nd replicated experimental system and in our stochastic model simulations points to potential fundame
222 ic biology by reference to deterministic and stochastic model systems exhibiting adaptive and switch-
223 Here we report the development of a spatial stochastic model that addresses the dynamics of ErbB3 ho
224 babilistic and equation-free analyses of the stochastic model that calculate stationary states for th
227 uce a detailed, yet efficient sequence-based stochastic model that generates realistic synthetic data
229 stability of microtubules, we propose here a stochastic model that includes all relevant biochemical
231 ccount for these observations with a minimal stochastic model that is based on an autocatalytic cycle
234 random-impact rule allows us to formulate a stochastic model that uncouples the effects of productiv
235 However, accessing this source requires stochastic models that are usually difficult to analyze.
237 issect this data requires the development of stochastic models that can both deconvolve the stages of
238 By analyzing this large dataset, we identify stochastic models that can explain evolutionary patterns
239 ference hinges critically both on developing stochastic models that provide a reasonable description
241 mbination of experimental data and a general stochastic model, that the degree of phenotypic variatio
242 n, we calibrated a dynamic, individual-based stochastic model, the HIV Synthesis Model, to multiple d
243 r addressing this problem for discrete-state stochastic models, the analysis of SDE and other continu
244 In contrast to previous one-dimensional stochastic models, the presented simulation approach can
245 ower the maximal absolute eigenvalues of the stochastic model, thereby contributing to increased stab
247 albopictus; the former was assessed using a stochastic model to calculate R0 and the latter was asse
248 ddress this gap by developing a mechanistic, stochastic model to characterize phosphorus, nitrogen, b
251 f cytochrome c and ubiquinone pool using the stochastic model to evaluate the DeltaG of the bc(1) com
257 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
266 We illustrate the use of spatially explicit stochastic models to optimize targeting of surveillance
268 mportance of building biologically realistic stochastic models to test biological models more stringe
269 tive insights into these results and a novel stochastic model tracking cell-volume and cell-cycle pre
272 nce and model selection for deterministic or stochastic models using (i) standard rejection ABC or se
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
284 n essential tool for the analysis of complex stochastic models when the likelihood function is numeri
285 ection of images is estimated by first using stochastic modelling where the locations of clusters in
286 an increasing appetite for individual-based stochastic models which can capture the fine details of
287 nal response in budding yeast to calibrate a stochastic model, which is then used as a basis for pred
288 tate transitions can be described by using a stochastic model, which predicts that ICE fitness is opt
289 intensive time-series datasets and improved stochastic modelling will help to explore their importan
290 MPL results could be reproduced by a simple stochastic model with a single adjustable parameter.
291 gical implement for control is a large scale stochastic model with countless parameters lacking robus
293 atistically exactly solvable one-dimensional stochastic model with relevance for low frequency variab
295 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