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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.
15                                     A simple stochastic model accounting for the essential steps of c
16                                 The proposed stochastic model accounts for the spatial distribution o
17 d on single-motor parameters, we developed a stochastic model and a mean-field theoretical descriptio
18          By observing a connection between a stochastic model and a multiclass queue, we obtain a clo
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
21                                  Here, using stochastic modeling and fluorescence microscopy, we show
22                                              Stochastic modeling and simulation provide powerful pred
23                                              Stochastic modelling and experimental data demonstrated
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
27                   Density functional theory, stochastic models, and experimental characterizations de
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
30          To conclude, the present multiscale stochastic modeling approach allows studying cellular ev
31                                       Hybrid stochastic modeling approach can be used to provide quan
32                    In this study, we adopt a stochastic modeling approach to address multiple pathway
33                         One such case is the stochastic modeling approach, which can be important whe
34 lts using Monte Carlo simulation in a tiered stochastic modeling approach: exposures were the highest
35          To this aim, we developed a unified stochastic modelling approach that, starting from radiat
36                       Both deterministic and stochastic models are constructed to describe the transm
37  in progression through cell cycle, detailed stochastic models are required.
38 ty of our approach lies in specifying latent stochastic models at the single-cell level, and then agg
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                         The developed hybrid stochastic model can successfully capture several key fe
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                         Spatially structured stochastic models can capture these important features o
55                            However, a recent stochastic model combining the main elements of niche th
56 ake an information theoretic analysis of two stochastic models concerning glioma differentiation ther
57                                            A stochastic model confirms the presence of an autocatalyt
58           Here, by developing a system-level stochastic model constrained by a large set of single-ce
59 ally leads to the coarsest deterministic and stochastic models containing only four molecular species
60                   We tested this method on a stochastic model, containing 18 parameters, of the cardi
61                                            A stochastic model demonstrated the separation of TF input
62                              Alignment-free, stochastic models derived from k-mer distributions repre
63                           We exactly solve a stochastic model describing a ubiquitous motif in membra
64 a of ribosomal density on mRNAs with a novel stochastic model describing ribosome traffic dynamics du
65                                Here, we used stochastic models describing focus expansion as a means
66                                 Importantly, stochastic modeling established this cost for sequential
67                                      Using a stochastic model fit to seasonal flu surveillance data f
68 ase incidence for the next 6 months, using a stochastic model fitted to data from Sierra Leone.
69  To explain our results we propose a spatial stochastic model (following a philosophy of the Widom-Ro
70                               We developed a stochastic model for cholera importation and transmissio
71                                 We analyze a stochastic model for coupled degradation of mRNAs and sR
72  the NLME model were applied to optimize the stochastic model for each patient.
73 nderstand this finding, we propose a general stochastic model for mutually interacting complex system
74                               We introduce a stochastic model for network communication that combines
75        Here I report on the development of a stochastic model for protein translation that is capable
76                  In this paper, we present a stochastic model for studying such longitudinal data in
77                                 We present a stochastic model for the formation of tandem repeats via
78                  We develop a coarse-grained stochastic model for the influence of signal relay on th
79                       We examine a nonlinear stochastic model for the parasite load of a single host
80 larization model based on coupling between a stochastic model for the segregation of signaling molecu
81                                          Our stochastic model for the transcription events reproduced
82                           First, we derive a stochastic model for thermally-activated motion of dislo
83                       Here, we investigate a stochastic model for this phenomenon, in which gene tran
84                                 We present a stochastic model for whole chromosome replication where
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
90                                 We propose a stochastic modeling framework to disentangle expected de
91 a quality than prior studies, (2) advances a stochastic modeling framework to include microbial inact
92                                            A stochastic modeling framework was developed to depict th
93 population, although recently some important stochastic models have been developed.
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
98                                   Finally, a stochastic model including nucleoid exclusion at midcell
99                                            A stochastic model incorporated chronological surface cont
100 ractions in excellent agreement with a local stochastic model, indicating that long-range correlation
101                             We find that the stochastic model is able to generate the full spectrum o
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                  In this paper, a new hybrid stochastic model is proposed to study the effect of mole
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
111                            Deterministic and stochastic models led us to focus on basal transcription
112                When integrated with discrete stochastic models, measurements of cell-to-cell variabil
113                   Here, however, I present a stochastic model of a CaV2.1/BKCa(alpha-only) complex, a
114                         Here, by analysing a stochastic model of a minimum feedback network underlyin
115 nalysis of disease progression is based on a stochastic model of a population of infectious agents in
116                  We use a spatially explicit stochastic model of an Ae. aegypti population in Iquitos
117               We revisit the one-dimensional stochastic model of an earlier study by D. K. Lubensky a
118                                            A stochastic model of bc(1) turnover was used to confirm t
119                                   We study a stochastic model of cancer evolution and derive a formul
120                            Here we present a stochastic model of cellular transitions that allows und
121                                    Using the stochastic model of chromatography, we showed quantitati
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)-
124                  Here we demonstrate using a stochastic model of cooperative cluster formation that s
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.
127 rintuitive result by applying a quantitative stochastic model of diffusion.
128 ath receptor activation, we developed a semi-stochastic model of DISC/RIPoptosome formation.
129 In this study, we have created an integrated stochastic model of DNA damage repair by non-homologous
130               In this work we study a simple stochastic model of domain growth.
131 ss of containment strategies, we developed a stochastic model of Ebola transmission between and withi
132                          Here we introduce a stochastic model of evolution that involves residue subs
133                        Using a parameterized stochastic model of expansion, we find that this slowdow
134                                      Using a stochastic model of fiber repair, it is assumed that mec
135 extension of our previously published hybrid-stochastic model of FOCM by including the 5fTHF futile-c
136                                      Using a stochastic model of gene expression at the nucleotide an
137              This trend is consistent with a stochastic model of gene expression where mRNA copy numb
138                                Here we use a stochastic model of infection dynamics to estimate the e
139 probability of fixation is used to develop a stochastic model of joint male and female phenotypic evo
140                                 We present a stochastic model of LINE-1 (L1) transposition in human c
141 erty line can be derived from an agent-based stochastic model of market exchange, combining all expen
142              This study integrated a dynamic stochastic model of measles transmission in Uganda (2010
143                    Here we present the first stochastic model of multiple mating cells whose morpholo
144                 To test this, we developed a stochastic model of neurofilament transport that tracks
145 he kinetics of nucleosome organization, in a stochastic model of nucleosome positioning and dynamics.
146               We present a reanalysis of the stochastic model of organelle production and show that t
147                              Here we build a stochastic model of p53 induced apoptosis comprised of c
148 by incorporating copy number variance with a stochastic model of plasmid replication.
149 lts with those from a simple one-dimensional stochastic model of population dynamics at the base of t
150                    Here we develop a general stochastic model of predator-prey spatial dynamics to pr
151                               We developed a stochastic model of primordia initiation at the shoot ap
152 lls of the embryonic retina and fit the same stochastic model of proliferation.
153 nal resolution by a suitable one-dimensional stochastic model of random-direction plane waves.
154                                      Using a stochastic model of repetitive activity in afferents, we
155                     We construct an accurate stochastic model of rodent feeding at the bout level in
156 hm of the total probability of a MSA under a stochastic model of sequence evolution along a time axis
157                            Here we develop a stochastic model of severe acute respiratory syndrome co
158                                Previously, a stochastic model of single-stranded RNA virus assembly w
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.
161                   In this paper we provide a stochastic model of the budding yeast cell cycle that ac
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
165                           Here, we develop a stochastic model of the multiple antibiotic resistance n
166             We then apply our framework to a stochastic model of the rocky intertidal food web, parti
167 avior and statistics of long trajectories, a stochastic model of their nonequilibrium motion is requi
168                               We developed a stochastic model of three-dimensional dynamics in canopi
169                 Here, we developed a spatial stochastic model of tobacco-related HNSCC at the tissue
170                                 We present a stochastic model of transcription that considers these c
171                         Here we use a simple stochastic model of translation to characterize the effe
172                            Here we develop a stochastic model of tSC and vacancy mediated synapse eli
173            We developed an individual-based, stochastic model of tuberculosis disease in a hypothetic
174                                     A recent stochastic model of tumour-induced angiogenesis includin
175                       As an alternative to a stochastic model of viral transmission, we hypothesize t
176 ccounted for by a newly-developed Lagrangian stochastic model of weakly-flying insect movements in th
177              Here, we present the results of stochastic modeling of hematopoietic stem cell (HSC) clo
178                       Using measurements and stochastic modeling of mycobacterial cell size and cell-
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
182            Smoldyn is a software package for stochastic modelling of spatial biochemical networks and
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
187 roaches for calibration and prediction using stochastic models of epidemics.
188 statistical methods of estimation applied to stochastic models of evolution.
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
192  used to model transcriptional regulation in stochastic models of gene expression.
193 d for the first-passage time distribution in stochastic models of gene expression.
194       Our results confirm that commonly used stochastic models of gene regulatory networks are only a
195                                      We used stochastic models of gHAT transmission fitted to DRC cas
196                    In this study, we analyze stochastic models of phenotypic switching to provide a f
197            To address this problem, we apply stochastic models of signal integration by T cells to da
198 olutionary processes depend fundamentally on stochastic models of speciation and mutation.
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
202                             By extending the stochastic model performance evaluation process algebra
203                                          The stochastic model predicted fadeout and within-herd preva
204                                          The stochastic model predicts that pH fluctuations decrease
205                                          The stochastic model presented here demonstrates the importa
206 he clinical data was observed in case of the stochastic model projections as compared to their determ
207  more than 70% for two patients by using the stochastic model projections.
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)
210                                         This stochastic model recapitulates phyllotactic patterns, bo
211 formulate a multiscale asymptotic method for stochastic model reduction, from which we derive an effi
212 estimation and prediction for these types of stochastic models remain limited.
213                                          The stochastic model results in better projection of the cyc
214                                          The stochastic model seems irreconcilable with an ordered ti
215                                   Our simple stochastic model shows how the regulation of ant colony
216                                            A stochastic model simulation of translation predicted com
217                                  Analysis of stochastic model simulations illustrates how these pleio
218 nd replicated experimental system and in our stochastic model simulations points to potential fundame
219            Data from a chemotaxis mutant and stochastic modeling suggest that fluctuations of the reg
220                                              Stochastic modeling suggested that the double-negative f
221                                        Prior stochastic modeling suggests that decrease in glutamate
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
225                           Here, we present a stochastic model that can generate bistability of the Hi
226                                 We develop a stochastic model that describes the entry process at the
227 uce a detailed, yet efficient sequence-based stochastic model that generates realistic synthetic data
228                              We treat both a stochastic model that grows an explicit three-dimensiona
229 stability of microtubules, we propose here a stochastic model that includes all relevant biochemical
230                  We have formulated a simple stochastic model that includes purse-string contractilit
231 ccount for these observations with a minimal stochastic model that is based on an autocatalytic cycle
232                           Here, we propose a stochastic model that naturally combines these two evolu
233              It is based on a discrete-state stochastic model that takes into account the most releva
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.
236 to be far noisier than predicted by standard stochastic models that assume homogeneous mixing.
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
240                            Indeed, two-state stochastic models that seek to describe microtubule dyna
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
246           In this contribution, we develop a stochastic model to analytically account for this distri
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
249                         To fit the resulting stochastic model to data from FRAP measurements and to e
250                               We developed a stochastic model to describe these microbial transport a
251 f cytochrome c and ubiquinone pool using the stochastic model to evaluate the DeltaG of the bc(1) com
252                   In this work we extend the stochastic model to more realistic BKCa-CaV complexes wi
253                       We introduce a spatial stochastic model to provide insight into this process.
254                         Here, we developed a stochastic model to quantify the variability in the gree
255               To investigate this, we used a stochastic model to study regulation of downstream targe
256                                 By fitting a stochastic model to the observed mRNA distributions, we
257  and range size of species arising under our stochastic model to those observed across 1,269 species
258                                 Here we used stochastic modeling to analyze and quantify the ability
259                      We utilize multi-scale, stochastic modeling to investigate the design principles
260                         Here, we use spatial stochastic modeling to show that tradeoffs arise between
261                                 Here, we use stochastic modelling to derive general results for the i
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              We use simple deterministic and stochastic models to gain insight into residual viremia
266  We illustrate the use of spatially explicit stochastic models to optimize targeting of surveillance
267                  To test this, first we used stochastic models to predict that variability in the num
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
270                                         This stochastic model unifies the physical concepts of linear
271                                              Stochastic modeling using reasonable biophysical paramet
272 nce and model selection for deterministic or stochastic models using (i) standard rejection ABC or se
273                                          The stochastic model was fitted with parameters drawn from d
274                                            A stochastic model was used to estimate the number of huma
275                                      Using a stochastic model, we demonstrate how neglecting environm
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                                        Using stochastic modeling, we reproduce in silico the response
282                      Using deterministic and stochastic modeling, we reproduced in silico the differe
283                                 Two combined stochastic models were developed: patient and epidemic 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
292                          We also developed a stochastic model with physically meaningful parameters t
293 atistically exactly solvable one-dimensional stochastic model with relevance for low frequency variab
294 lls fails or becomes established by coupling stochastic modeling with laboratory experiments.
295 ta analysis method that combines mechanistic stochastic modelling with the powerful methods of non-pa
296 ers is different than that given by standard stochastic models with Hill-type propensities.
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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