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1  computational fluid dynamics and analytical mathematical models).
2 nderstand this heterogeneity, we developed a mathematical model.
3 eriments, including treatments unseen by the mathematical model.
4 oint of data saturation was estimated with a mathematical model.
5 ons from the literature to formulate a novel mathematical model.
6 lementing the strategy in a US state using a mathematical model.
7 to estimate key HIV epidemic indicators from mathematical models.
8 ions are best addressed with systems biology mathematical models.
9 -numerical, qualitative data to parameterize mathematical models.
10 sets, these techniques are strictly based on mathematical models.
11 ess of PrEP has relied on clinical trials or mathematical models.
12 nto finite-sized target structures employing mathematical modeling.
13 icated by biofilm thickness measurements and mathematical modeling.
14 rcial and institutional IR databases without mathematical modeling.
15 perturbation, bioinformatic predictions, and mathematical modeling.
16 ociated with sexual receptivity length using mathematical modeling.
17 ct under a range of supply constraints using mathematical modelling.
18 ed environment, it is necessary to integrate mathematical models across biological scales.
19                                              Mathematical models allow us to predict the phase respon
20                                              Mathematical modelling also suggests that the binding dy
21                                              Mathematical models also suggest a substantial overlap b
22                             Experimental and mathematical modeling analyses suggest that active cargo
23         In addition, assumptions to make the mathematical models analytically tractable limit the sea
24                                   We built a mathematical model and analysed it using numerically sim
25          We developed a transmission-dynamic mathematical model and calibrated it to data from two hi
26 predicted the probability of rebound using a mathematical model and inference approach.
27                                    We used a mathematical model and Monte Carlo algorithm to estimate
28 e learning model is applied to calibrate the mathematical model and to fit it to the overall survival
29                               In this study, mathematical modeling and 3D printing were used to analy
30                                      We used mathematical modeling and analysis of observational data
31  types of hybrid error correction methods by mathematical modeling and analysis on both simulated and
32                                              Mathematical modeling and corresponding in vivo experime
33                                          Our mathematical modeling and genetic tests validate this me
34                                  Here, using mathematical modeling and statistical analyses of T cell
35                             Here, we combine mathematical modelling and data from eleven bipartite pl
36 icroscopy, transmission electron microscopy, mathematical modelling and genetic manipulation to visua
37                                              Mathematical models and computer simulations demonstrate
38 paid to the comprehensive description of the mathematical models and parameters of the active and pas
39 terpreting clinical diagnostics, and for the mathematical models and serological surveys that underpi
40                     Our combined statistical/mathematical modeling approach expands the utility of ge
41                                         This mathematical modeling approach provides strong evidence
42                                      Using a mathematical modeling approach, we found that simply int
43                                     Taking a mathematical modelling approach, we investigate how tumo
44 ristics of EMT dynamics, with a focus on the mathematical modeling approaches that have been instrume
45 tion to key experimental findings, we review mathematical modeling approaches that help researchers i
46                        Our imaging assay and mathematical model are easy to implement and provide a s
47                          Population genetics mathematical models are developed here to demonstrate th
48                                 Fortunately, mathematical models are uniquely positioned to provide a
49 tions for behavioral modifications, based on mathematical models, are most likely to be followed in t
50  burden-is sufficiently high, an effect that mathematical models attribute to increased competition.
51                                I show that a mathematical model based on environmental stochasticity,
52                                              Mathematical modeling based on our data provides estimat
53                            We then present a mathematical model, based on inferred functional interac
54 he local hydrodynamics and, as revealed by a mathematical model benchmarked on the observations, on c
55 rve as the basis for developing a variety of mathematical models, but they ensure that any mathematic
56 o, and in vitro studies, in combination with mathematical modeling can help optimize and guide the de
57   We tested plausibility for CPP by combined mathematical modeling, comparison of predictions from th
58  of experiments, large-scale omics data, and mathematical modeling, complemented by the use of synthe
59                                 We present a mathematical model comprising a Polycomb/Trithorax respo
60                                          Our mathematical model consists of seven ODEs describing the
61                     Here, we create a simple mathematical model coupling T-cell recognition with an e
62                                              Mathematical models demonstrate that a serological testi
63                                    Herein, a mathematical model demonstrates that the large amount of
64                                              Mathematical modeling demonstrates that the interface de
65                                              Mathematical modeling demonstrates that the NAC-induced
66                       We developed a minimal mathematical model demonstrating growth factor signaling
67                                          The mathematical model derived in this work can be easily ad
68                                            A mathematical model describes tumor growth in animal mode
69                                            A mathematical model describing the viral infection dynami
70            We further evaluated how well bio-mathematical models designed to predict performance chan
71                                     Previous mathematical modeling efforts have focused on bundles' r
72           This approach, in conjunction with mathematical modeling, enabled us to quantify the nuclea
73                          The derivation of a mathematical model enables the quantitative prediction o
74 llow the optimal schedules generated through mathematical modeling entirely, but travelers who better
75 s greatly benefited from a variety of simple mathematical models focusing on the conditions and patte
76                                            A mathematical model for D(eff) in the extracelluar space
77                                 We develop a mathematical model for fitness landscapes generated by s
78                                            A mathematical model for RNAPI elongation confirmed the im
79      In this paper, we present an integrated mathematical model for surface coverage bead-based assay
80                                 We propose a mathematical model for the dynamics of c-di-GMP and (p)p
81 ormation processing capabilities, we built a mathematical model for the eS6 phosphorylation (eS6-P) c
82 ng this pattern formation is elucidated by a mathematical model for the frictional motion of the colo
83                                      Using a mathematical model for transmission and control of VL, w
84                                          The mathematical model for tumour spheroid growth is paramet
85                        In this work we study mathematical models for a basic chemical signal, the arr
86 s increasing importance placed on the use of mathematical models for the effective design and managem
87                In this study, we developed a mathematical modeling framework to quantify the contribu
88                  To that end, we developed a mathematical modeling framework to simulate the AMP tria
89 n in microbiology and molecular biology, the mathematical models generally used to describe the popul
90                                              Mathematical modeling has been at the forefront of this
91                   Conversely, recent work in mathematical modeling has demonstrated the relevance of
92                                     Although mathematical modeling has provided many insights into th
93                                   In plants, mathematical modelling has been comprehensively integrat
94                                              Mathematical modelling has successfully been used to pro
95                                     Yet, few mathematical models have aimed to identify optimal treat
96                                While several mathematical models have been explored in the context of
97                                              Mathematical models have predicted long-term persistent
98                                              Mathematical models imply that a prolonged time (decades
99 rticle, we describe the assembly of a hybrid mathematical model in which the spatial spread of inflam
100 ization (smFISH), time-lapse microscopy, and mathematical modeling in single fission yeast cells to u
101              The core of the platform is the mathematical model, in the form of a system of ordinary
102 To test this, we present an individual-based mathematical model incorporating all the important cell-
103                                              Mathematical models incorporating variability successful
104                     As predicted by a simple mathematical model, increasing sigma(B) expression shift
105            High-complexity DNA barcoding and mathematical modeling indicate a high rate of de novo ac
106                                          Our mathematical model indicates that local nutrient depleti
107                                              Mathematical modeling indicates that the Plk4 oscillatio
108                     Furthermore, no existing mathematical model integrates the impact of diurnal neur
109  for researchers interested in incorporating mathematical modeling into their scientific process.
110                                          The mathematical model is computationally implemented for a
111                                      Here, a mathematical model is developed to quantify the dynamics
112                                            A mathematical model is used to rapidly evaluate dosing st
113                                   Rationale: Mathematical modeling is used to understand disease dyna
114                                       Whilst mathematical modelling is well established in informing
115                   However, developing useful mathematical models is challenging because of the often
116  Unfortunately, the construction of complete mathematical models is often hindered by a pervasive pro
117                    The dynamic nature of our mathematical model makes it a powerful tool both for und
118                                          Bio-mathematical models may be useful for aiding crews in sc
119              In this study, we implemented a mathematical modelling method (catalytic model) combined
120                                      Current mathematical modeling methods for assessing cytopenia ri
121                                   While many mathematical models (MMs) have described the course of i
122                                  Our initial mathematical model obtained a correlation coefficient of
123 ial infection to create a fully parametrised mathematical model of a systemic Vibrio infection.
124       Although these properties fit a recent mathematical model of automatic gradient scaling, that m
125 ased on these data, we constructed a dynamic mathematical model of bacterial interactions in the lake
126                            Here we develop a mathematical model of colorectal cancer initiation throu
127 f colorectal cancer can be recovered using a mathematical model of colorectal cancer initiation toget
128                         OR activity fitted a mathematical model of competitive receptor binding and s
129 of Europe's largest countries, and develop a mathematical model of COVID-19 dynamics, using latest da
130                           Here, we present a mathematical model of early stage angiogenesis that perm
131                  In this study, we develop a mathematical model of germinal center dynamics and use i
132                We developed and calibrated a mathematical model of gonorrhea transmission among men w
133 ariation in infection outcomes, we devised a mathematical model of malaria infection that allowed hos
134 aging of MCTS systems to drive a biophysical mathematical model of MCTS growth and mechanical interac
135 tigens in a growing cancer by constructing a mathematical model of neoantigen evolution.
136                          We have developed a mathematical model of nuclear protein transport within a
137                                      Using a mathematical model of P. falciparum malaria transmission
138 to urinary protein excretion, we developed a mathematical model of protein reabsorption in the human
139 erences are based only on a well-established mathematical model of recombination and make no assumpti
140  and empirical understanding by developing a mathematical model of sexual conflict that incorporates
141                                      Using a mathematical model of such molecular signalling mechanis
142                               We developed a mathematical model of TB transmission to project the imp
143       Here, we develop the first mechanistic mathematical model of the 2-input BLADE platform based o
144  Focusing on mutational events, we provide a mathematical model of the full process of tumor evolutio
145                                     We use a mathematical model of the HIV epidemic in South Africa t
146 ce methods to fully identify parameters in a mathematical model of the infection.
147   In this work, we developed a comprehensive mathematical model of the network that describes the tem
148                  The principle is based on a mathematical model of the sporozoite rate (the proportio
149                                   Further, a mathematical model of the system for each agent demonstr
150                                            A mathematical model of the wild boar ASF system is develo
151  new fully-coupled, agent-based, multi-scale mathematical model of tumor growth, angiogenesis and met
152  biophysical experiments in combination with mathematical modeling of aggregation kinetics and discov
153                  This study demonstrates how mathematical modeling of cancer evolution can be used to
154 a response-guided therapy approach, based on mathematical modeling of early viral kinetics, to reduce
155             Importantly, our work, including mathematical modeling of forces and material stiffness d
156                                              Mathematical modeling of healthcare-associated infection
157                                              Mathematical modeling of plant metabolism enables the pl
158                                      Lastly, mathematical modeling of tGD spread within populations r
159                                              Mathematical modeling of the stochastic process of cance
160         By combining our sequencing data and mathematical modeling of transcription, we found that Xr
161 some profiling data using recent advances in mathematical modelling of mRNA translation.
162                                              Mathematical modelling of real complex networks aims to
163                                              Mathematical modelling of transmission dynamics predicte
164 destructive monitoring of cancer clones, and mathematical modelling of tumour evolution.
165                                              Mathematical models of biological reactions at the syste
166 vel therapeutic approaches and build further mathematical models of combination therapies to treat pr
167 n 2015, the EPA used these data to construct mathematical models of ER agonist and antagonist pathway
168                                              Mathematical models of gene flow in populations, which i
169 e clinical trials guided by patient-specific mathematical models of intratumoral evolutionary dynamic
170                                              Mathematical models of mosquito-barrier interactions ide
171 d yield to intervention techniques guided by mathematical models of neuronal ensemble dynamics.
172                     Here, we developed novel mathematical models of Process S based on cortical activ
173             We compared experimental data to mathematical models of spreading mechanisms to determine
174 .Methods: We estimated outcomes using linked mathematical models of TB epidemiology in the United Sta
175 r using these geometries for biophysical and mathematical modeling once these data can be represented
176  is based on the combination of two existing mathematical models: one representing the dynamics of ph
177                                 Supported by mathematical modelling, our results establish that multi
178 eview selected experimental and theoretical (mathematical) models pertaining to the hypothesis that l
179                         Here, we introduce a mathematical modeling platform, PopAlign, that automatic
180 nderstanding of disease dynamics, and robust mathematical models play an important role in forecastin
181  100% and transmission rates as high as 94%, mathematical models predict that these systems could spr
182                                          The mathematical model predicted preferential CPP into cells
183                                              Mathematical modeling provides a means to investigate th
184                                   Stochastic mathematical modeling provides insight to the biological
185 ty classifications were compared to previous mathematical model publications.
186                                     However, mathematical models require in vitro data prior to predi
187                                              Mathematical modeling revealed that SOC reduces mechanic
188                                              Mathematical modeling reveals that small values of the r
189              In support of such an approach, mathematical models serve as a connection between the si
190                                          The mathematical model shows how homophily as a friend-choic
191                                            A mathematical model shows how the shape of early multicel
192                                              Mathematical modelling shows that amplifications also tu
193 +)] from 5.0 to 2.7 mmol/L) and supported by mathematical modeling studies.
194                                      In this mathematical modelling study of perinatal hepatitis B tr
195 ther MSCs exert a pro- or anti-tumor action, mathematical models such as this one help to quantitativ
196                                              Mathematical models suggest that endocytic organelle tet
197                                              Mathematical modeling suggests that the differential aff
198                                              Mathematical modelling suggests that the probability of
199       Deep learning (DL) is a widely applied mathematical modeling technique.
200 tors) are parameterized and used to inform a mathematical model that can predict circuit performance,
201 ic outcomes, we created a hybrid agent-based mathematical model that captures both the overall tumor
202 nisms driving these dynamics by developing a mathematical model that captures consortia response as s
203                               We developed a mathematical model that combines biochemical signaling w
204 egulation of flagella quantity, we propose a mathematical model that connects the flagellar gene regu
205             In this study we develop a novel mathematical model that describes HIV-1 infection in the
206                           A phenomenological mathematical model that forms an essential basis for opt
207 rmine the effect of such noise by studying a mathematical model that includes the realistic noisy ope
208 disease and normal individuals, we devised a mathematical model that incorporates two PT transport pr
209 tand this relationship, we used a multiscale mathematical model that integrates data from biology and
210                          We have developed a mathematical model that may be used to identify trial de
211     In this study, we develop a mechanistic, mathematical model that permits both direct (host-to-hos
212                            We also develop a mathematical model that provides mechanistic insights in
213 siologically relevant biochemicals, a robust mathematical model that quantifies the contributions of
214            There is hence an urgent need for mathematical modeling that can quantitatively describe t
215                                           In mathematical models that are frequently used to guide su
216 mplex processes into simpler subsystems; and mathematical models that can accelerate the design-build
217 iour can make it difficult to create concise mathematical models that can be easily extended or modif
218                    This can be achieved with mathematical models that properly account for risk heter
219                      We demonstrate, using a mathematical model, that dissolution of calcium that has
220                        Here we show, through mathematical modelling, that the patterns of dominant Sp
221 together with the mechanistic framework of a mathematical model, there can be a considerably enhanced
222           Behavioral strategies and abstract mathematical models thereof have been described in detai
223                                Here we use a mathematical model to assess if isolation and contact tr
224                 We developed a serocatalytic mathematical model to capture the change in seroprevalen
225                                   By using a mathematical model to compare the cumulative number of c
226                         We generate a simple mathematical model to describe the transmembrane inserti
227        Further, we developed and validated a mathematical model to determine that fast, small-volume
228 e possibilities by fitting an age-structured mathematical model to epidemic data from China, Italy, J
229 s (2011-12, 2015-16, and 2017-18), we used a mathematical model to estimate the number of prevented i
230            Here we established a descriptive mathematical model to estimate the probability of self-r
231 including machine learning and a mechanistic mathematical model to find the optimal protocol for admi
232   The experimental data were integrated in a mathematical model to gain new insights into the inhibit
233                               We developed a mathematical model to investigate the effect of asymptom
234            We applied a previously published mathematical model to investigate the effect of interven
235  study we created and validated a multiscale mathematical model to investigate the impact of cross-ta
236 his article, we study a general, but simple, mathematical model to investigate whether the presence o
237                                    We used a mathematical model to predict the efficacy and effective
238 f relevant pathogen-specific RDTs, we used a mathematical model to predict the probability of correct
239 esent the results of utilizing a biophysical mathematical model to predict tumor response for two HER
240                            Here, we fitted a mathematical model to seroprevalence livestock and human
241                            Here we develop a mathematical model to show, that in highly variable envi
242                           Finally, we used a mathematical model to simulate HRV under decreased "coup
243 rmed an allocative efficiency study, using a mathematical model to simulate the progression of HCV in
244                   Previously, we developed a mathematical model to understand factors governing the e
245  combine statistical analysis and stochastic mathematical modeling to analyze Repli-BS data from huma
246 ngle-cell transcriptomic data and multiscale mathematical modeling to analyze transitions during cell
247 rial results about vaccination strategy with mathematical modeling to assess HPV eradication.
248             Here, we combine experiments and mathematical modeling to elaborate the minimal autonomou
249                                      We used mathematical modeling to estimate HDV-HBsAg-host paramet
250                                 Here, we use mathematical modeling to examine the epidemiological imp
251 ere, we combine an experimental approach and mathematical modeling to explore how phages and their mo
252                             Here, we utilize mathematical modeling to investigate how small outward c
253 ents in computer-controlled bioreactors with mathematical modeling to investigate whether containment
254 ouse system that utilizes clonal tracing and mathematical modeling to monitor the growth of each canc
255 analysis of the RAD51-ssDNA interaction with mathematical modeling to show that the flexibility of DN
256 notypic slice cultures, clonal analysis, and mathematical modeling to show the two-step process of in
257                         In this study we use mathematical modeling to understand better how these con
258  transcriptomics, infection-based assays and mathematical modelling to reassess the relationship betw
259        We applied existing and developed new mathematical models to calculate the health and climate
260 hat moved across its sonar field and applied mathematical models to differentiate between nonpredicti
261 t synthetic Lactococcus lactis consortia and mathematical models to elucidate the role of interaction
262                                       We use mathematical models to explore how the efficacy of LAIV
263                                  Here we use mathematical models to explore size-control strategies t
264                                       We use mathematical models to illustrate their possible modes o
265  experiments, extensive field data and novel mathematical models to indirectly estimate the magnitude
266 dying prion aggregation to show the power of mathematical models to synergistically interact with exp
267 ciation constants were determined by fitting mathematical models to the experimental data.
268 ia and combining single-cell RNA sequencing, mathematical modelling, transplantation assays and intra
269   A recently-developed population-level T2DM mathematical model was adapted and applied to Jordan.
270 re characterized and a multiscale stochastic mathematical model was proposed to link the in vitro and
271                                            A mathematical model was set up and validated to predict t
272                          An individual-based mathematical model was used to simulate annual HIV incid
273                  Supported by a quantitative mathematical model, we characterized PULSE in protoplast
274                                      Using a mathematical model, we estimate that a large fraction of
275                   Guided by a resource-aware mathematical model, we identify and engineer natural and
276                                      Using a mathematical model, we show that the temporal asynchrony
277  analysis of ESCRT-III-depleted cells with a mathematical model, we show that upstream ESCRT-induced
278                             Using a detailed mathematical model, we simulated realistic NFkB signalin
279        Through experimental perturbation and mathematical modeling, we demonstrate that the propertie
280                           Using genetics and mathematical modeling, we develop an alternative model o
281 single-cell imaging, genomic approaches, and mathematical modeling, we find that hESCs commit to exit
282                                        Using mathematical modeling, we found that ratio-sensing is a
283 ysiology, optogenetics, behavioral tasks and mathematical modeling, we found that subthalamic stimula
284                                     Based on mathematical modeling, we here demonstrate that clusters
285                                    Guided by mathematical modeling, we identified the primary compone
286  fixed cell analysis, live cell imaging, and mathematical modeling, we show that populations of newly
287                                Together with mathematical modeling, we unambiguously demonstrate no c
288          Combining uncaging experiments with mathematical modeling, we were able to determine binding
289                                        Using mathematical modelling, we propose that the BotC network
290                        Using statistical and mathematical models, we predicted prevalence of both inf
291                            Using mechanistic mathematical models, we show how simple manipulations to
292                     Using 3 well-established mathematical models, we show that low-level prevalence c
293                            We found that bio-mathematical models were able to predict average changes
294 C and five different semi-theoretical drying mathematical models were examined to characterize the dr
295 ual patient level, and (3) computational and mathematical modeling, which blends in silico simulation
296 ostate cancer and CRPC.Significance: Merging mathematical modeling with experimental data, this study
297                  In this study, we integrate mathematical modeling with microenvironmental perturbati
298                          We further combined mathematical modeling with quantitative trait and expres
299                  Recent work, which combines mathematical modelling with dynamic clamp experiments, s
300  in periodically-paced excitable media using mathematical models with different levels of complexity:

 
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