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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
16                                     A simple stochastic model accounting for the essential steps of c
17                                 The proposed stochastic model accounts for the spatial distribution o
18 d on single-motor parameters, we developed a stochastic model and a mean-field theoretical descriptio
19          By observing a connection between a stochastic model and a multiclass queue, we obtain a clo
20                  We then introduce a dynamic stochastic model and show that prediction of dynamic dis
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
23                                  Here, using stochastic modeling and fluorescence microscopy, we show
24                                              Stochastic modeling and simulation provide powerful pred
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
28                   Density functional theory, stochastic models, and experimental characterizations de
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
31          To conclude, the present multiscale stochastic modeling approach allows studying cellular ev
32                    In this study, we adopt a stochastic modeling approach to address multiple pathway
33                        A deterministic and a stochastic model are both developed and give the same re
34                       Both deterministic and stochastic models are constructed to describe the transm
35 ty of our approach lies in specifying latent stochastic models at the single-cell level, and then agg
36  observed distribution, we explored a simple stochastic model based on geometric Brownian motion.
37 l division events are evaluated, including a stochastic model based on the probability of cell divisi
38                          We propose a simple stochastic model based on the two successive mutations h
39                         We then develop a 3D stochastic model based on these individual behaviors to
40                                         This stochastic model, based upon a diffusion approximation,
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
45             Here we construct an agent-based stochastic model calibrated by experimental measurements
46   Moreover, we illustrate how the identified stochastic model can be used to determine light inductio
47                             We find that the stochastic model can more robustly reproduce two fundame
48            In summary, we demonstrate that a stochastic model can recapitulate experimental observati
49              Moreover, we find that only the stochastic model can simultaneously reproduce these char
50 Furthermore, we show that only with the full stochastic model can the relative importance of environm
51                            Deterministic and stochastic models can be analyzed in ABC-SysBio.
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
54                            However, a recent stochastic model combining the main elements of niche th
55                   We tested this method on a stochastic model, containing 18 parameters, of the cardi
56 not fully capture the observed behavior, our stochastic model correctly predicts the experimental dyn
57                           We exactly solve a stochastic model describing a ubiquitous motif in membra
58 a of ribosomal density on mRNAs with a novel stochastic model describing ribosome traffic dynamics du
59                               We developed a stochastic model describing the dynamic interactions amo
60                                Here, we used stochastic models describing focus expansion as a means
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
63                                 Importantly, stochastic modeling established this cost for sequential
64                                      Using a stochastic model fit to seasonal flu surveillance data f
65 ase incidence for the next 6 months, using a stochastic model fitted to data from Sierra Leone.
66  To explain our results we propose a spatial stochastic model (following a philosophy of the Widom-Ro
67                               We developed a stochastic model for cholera importation and transmissio
68                            Properties of the stochastic model for CMT are developed below in a test c
69                                 We analyze a stochastic model for coupled degradation of mRNAs and sR
70 nderstand this finding, we propose a general stochastic model for mutually interacting complex system
71                  In this paper, we present a stochastic model for studying such longitudinal data in
72                  We develop a coarse-grained stochastic model for the influence of signal relay on th
73                       We examine a nonlinear stochastic model for the parasite load of a single host
74                                          Our stochastic model for the transcription events reproduced
75                            We present a semi-stochastic model for the transmission of a microparasite
76                           First, we derive a stochastic model for thermally-activated motion of dislo
77                       Here, we investigate a stochastic model for this phenomenon, in which gene tran
78                                 We develop a stochastic model for viral entry that incorporates a com
79                                 We present a stochastic model for whole chromosome replication where
80                   The finding is cast into a stochastic model for Z1Z2 interdomain elasticity that is
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
84 erativity, is analyzed in this paper through stochastic models for molecular interactions.
85 /2N/4N ploidy series, consistent with simple stochastic models for molecular noise.
86                          One of the earliest stochastic models for the growth of stem cell population
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
90  systematic strategies for the estimation of stochastic models from climate data.
91 population, although recently some important stochastic models have been developed.
92     As an alternative to parsimony analyses, stochastic models have been proposed for morphological c
93                                    Recently, stochastic models have been used to predict distribution
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
97                                   Finally, a stochastic model including nucleoid exclusion at midcell
98 ractions in excellent agreement with a local stochastic model, indicating that long-range correlation
99                               We developed a stochastic model, integrating results of single-molecule
100                             We find that the stochastic model is able to generate the full spectrum o
101                                         This stochastic model is based on an influenza epidemic model
102                                An analytical stochastic model is developed and compared with the meas
103                        A spatially-explicit, stochastic model is developed for Bahia bark scaling, a
104                               This filopodia stochastic model is integrated into migratory dynamics o
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
108                            Deterministic and stochastic models led us to focus on basal transcription
109                                              Stochastic models may therefore have an important role t
110                When integrated with discrete stochastic models, measurements of cell-to-cell variabil
111                   Here, however, I present a stochastic model of a CaV2.1/BKCa(alpha-only) complex, a
112                         Here, by analysing a stochastic model of a minimum feedback network underlyin
113                  We use a spatially explicit stochastic model of an Ae. aegypti population in Iquitos
114               We revisit the one-dimensional stochastic model of an earlier study by D. K. Lubensky a
115                                            A stochastic model of bc(1) turnover was used to confirm t
116                                          Our stochastic model of bipartite cooperation uses simple sp
117                            Here we present a stochastic model of cellular transitions that allows und
118                                    Using the stochastic model of chromatography, we showed quantitati
119 lar trends are predicted by a discrete state stochastic model of collective motor dynamics, these ana
120                 We construct and implement a stochastic model of convergent extension, using a minima
121                  Here we demonstrate using a stochastic model of cooperative cluster formation that s
122 ether human cancer follows a hierarchical or stochastic model of differentiation is controversial.
123 rintuitive result by applying a quantitative stochastic model of diffusion.
124 In this study, we have created an integrated stochastic model of DNA damage repair by non-homologous
125               In this work we study a simple stochastic model of domain growth.
126                             Here, we study a stochastic model of drug resistance emergence and consec
127 ss of containment strategies, we developed a stochastic model of Ebola transmission between and withi
128                          Here we introduce a stochastic model of evolution that involves residue subs
129           By combining TIRF microscopy and a stochastic model of exocytosis, we found that vesicle ex
130                                      Using a stochastic model of fiber repair, it is assumed that mec
131                                      Using a stochastic model of gene expression at the nucleotide an
132              This trend is consistent with a stochastic model of gene expression where mRNA copy numb
133                                Here we use a stochastic model of infection dynamics to estimate the e
134 probability of fixation is used to develop a stochastic model of joint male and female phenotypic evo
135              This study integrated a dynamic stochastic model of measles transmission in Uganda (2010
136                      We propose a minimalist stochastic model of multilevel (or group) selection.
137                    Here we present the first stochastic model of multiple mating cells whose morpholo
138  presents the first, to our knowledge, fully stochastic model of neutrophil activation, which, though
139                                      A novel stochastic model of nucleic acid chemistry was developed
140 he kinetics of nucleosome organization, in a stochastic model of nucleosome positioning and dynamics.
141               We present a reanalysis of the stochastic model of organelle production and show that t
142               We present a reanalysis of the stochastic model of organelle production and show that t
143               Finally, we developed a simple stochastic model of our positive-feedback system and sho
144                              Here we build a stochastic model of p53 induced apoptosis comprised of c
145 by incorporating copy number variance with a stochastic model of plasmid replication.
146 lts with those from a simple one-dimensional stochastic model of population dynamics at the base of t
147                    Here we develop a general stochastic model of predator-prey spatial dynamics to pr
148                               We developed a stochastic model of primordia initiation at the shoot ap
149 lls of the embryonic retina and fit the same stochastic model of proliferation.
150                In this article, we present a stochastic model of protein receptor trafficking at the
151 nal resolution by a suitable one-dimensional stochastic model of random-direction plane waves.
152 hm of the total probability of a MSA under a stochastic model of sequence evolution along a time axis
153                                Previously, a stochastic model of single-stranded RNA virus assembly w
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
157                   In this paper we provide a stochastic model of the budding yeast cell cycle that ac
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
161               As a case study, we consider a stochastic model of the Hes1 system expressed in terms o
162                           Here, we develop a stochastic model of the multiple antibiotic resistance n
163                               The first is a stochastic model of the progression of cell cycle states
164 avior and statistics of long trajectories, a stochastic model of their nonequilibrium motion is requi
165                               We developed a stochastic model of three-dimensional dynamics in canopi
166                 Here, we developed a spatial stochastic model of tobacco-related HNSCC at the tissue
167                                 We present a stochastic model of transcription that considers these c
168                           Here, we develop a stochastic model of transcriptional regulation that allo
169                         Here we use a simple stochastic model of translation to characterize the effe
170            We developed an individual-based, stochastic model of tuberculosis disease in a hypothetic
171                                     A recent stochastic model of tumour-induced angiogenesis includin
172                       As an alternative to a stochastic model of viral transmission, we hypothesize t
173 ccounted for by a newly-developed Lagrangian stochastic model of weakly-flying insect movements in th
174              Here, we present the results of stochastic modeling of hematopoietic stem cell (HSC) clo
175  mast cell, which then served as a basis for stochastic modeling of inositol-trisphosphate-mediated c
176                       Using measurements and stochastic modeling of mycobacterial cell size and cell-
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
179            Smoldyn is a software package for stochastic modelling of spatial biochemical networks and
180      The incorporation of domain growth into stochastic models of biological processes is of increasi
181  in computational biology to build and solve stochastic models of biological processes.
182 imating crowding effects with coarse-grained stochastic models of capsid assembly, using the crowding
183                   Here, building on previous stochastic models of consumer-resource interactions betw
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
186 roaches for calibration and prediction using stochastic models of epidemics.
187 statistical methods of estimation applied to stochastic models of evolution.
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
191 d for the first-passage time distribution in stochastic models of gene expression.
192            To address this problem, we apply stochastic models of signal integration by T cells to da
193 olutionary processes depend fundamentally on stochastic models of speciation and mutation.
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.
196                  The effects of CMT from the stochastic model on a large-scale convectively coupled w
197                             By extending the stochastic model performance evaluation process algebra
198                                          The stochastic model predicted fadeout and within-herd preva
199 he clinical data was observed in case of the stochastic model projections as compared to their determ
200  more than 70% for two patients by using the stochastic model projections.
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)
203                                         This stochastic model recapitulates phyllotactic patterns, bo
204 estimation and prediction for these types of stochastic models remain limited.
205                     Mutant phenotypes in the stochastic model reproduce the experimental observations
206                                          The stochastic model results in better projection of the cyc
207                                          The stochastic model seems irreconcilable with an ordered ti
208                                   Our simple stochastic model shows how the regulation of ant colony
209                                            A stochastic model simulation of translation predicted com
210                                  Analysis of stochastic model simulations illustrates how these pleio
211            Data from a chemotaxis mutant and stochastic modeling suggest that fluctuations of the reg
212                                              Stochastic modeling suggested that the double-negative f
213                                        Prior stochastic modeling suggests that decrease in glutamate
214 ic biology by reference to deterministic and stochastic model systems exhibiting adaptive and switch-
215                                 We present a stochastic model that accurately describes simultaneousl
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
218                           Here, we present a stochastic model that can generate bistability of the Hi
219                                 We develop a stochastic model that describes the entry process at the
220                              We treat both a stochastic model that grows an explicit three-dimensiona
221 stability of microtubules, we propose here a stochastic model that includes all relevant biochemical
222                  We have formulated a simple stochastic model that includes purse-string contractilit
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
225                           Here, we propose a stochastic model that naturally combines these two evolu
226                                 We develop a stochastic model that quantitatively captures the means
227 aments is investigated theoretically using a stochastic model that takes into account the hydrolysis
228              It is based on a discrete-state stochastic model that takes into account the most releva
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.
231 to be far noisier than predicted by standard stochastic models that assume homogeneous mixing.
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,
236            We have developed a test suite of stochastic models that have been solved either analytica
237                                  Mechanistic stochastic models that include all of these factors have
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
241               In theoretical ecology, simple stochastic models that satisfy two basic conditions abou
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
247           In this contribution, we develop a stochastic model to analytically account for this distri
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
251                               We developed a stochastic model to describe these microbial transport a
252 f cytochrome c and ubiquinone pool using the stochastic model to evaluate the DeltaG of the bc(1) com
253                         We have extended the stochastic model to include de-differentiation and show
254                               We developed a stochastic model to investigate the underlying mechanism
255                   In this work we extend the stochastic model to more realistic BKCa-CaV complexes wi
256                       We introduce a spatial stochastic model to provide insight into this process.
257               To investigate this, we used a stochastic model to study regulation of downstream targe
258  and range size of species arising under our stochastic model to those observed across 1,269 species
259                                 Here we used stochastic modeling to analyze and quantify the ability
260                      We utilize multi-scale, stochastic modeling to investigate the design principles
261                         Here, we use spatial stochastic modeling to show that tradeoffs arise between
262                             Here, we develop stochastic models to analyze the loss probabilities for
263    Here, we develop simple deterministic and stochastic models to compare the confinement properties
264 rticular, the challenging problem of fitting stochastic models to data.
265                 When fitting continuous-time stochastic models to discretely observed time series the
266              We use simple deterministic and stochastic models to gain insight into residual viremia
267  We illustrate the use of spatially explicit stochastic models to optimize targeting of surveillance
268                  To test this, first we used stochastic models to predict that variability in the num
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
271                                         This stochastic model unifies the physical concepts of linear
272                                          The stochastic model was fitted with parameters drawn from d
273                                            A stochastic model was used to estimate the number of huma
274                                      Using a stochastic model, we demonstrate how neglecting environm
275                              Using a unified stochastic model, we demonstrate that this coexistence i
276          Extending our behavioral model to a stochastic model, we derive and explain a set of quantit
277  the mean search time for the discrete-state stochastic model, we derived analytical forms of the app
278                             However, using a stochastic model, we show that the appearance of trends
279                    Combining experiments and stochastic modeling, we find that increasing the ATP sti
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
282                                        Using stochastic modeling, we reproduce in silico the response
283                      Using deterministic and stochastic modeling, we reproduced in silico the differe
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
286                                 Two combined stochastic models were developed: patient and epidemic m
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
297                                       Linear stochastic models with multiple spatiotemporal scales ar
298  and deterministic models as well as between stochastic models with time-series and time-point measur
299                                     We use a stochastic model, with data from viral competition exper
300 evin dynamics can be embedded in an extended stochastic model without explicit memory.

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