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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.
28 e learning model is applied to calibrate the mathematical model and to fit it to the overall survival
31 types of hybrid error correction methods by mathematical modeling and analysis on both simulated and
36 icroscopy, transmission electron microscopy, mathematical modelling and genetic manipulation to visua
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
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
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.
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
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
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
86 s increasing importance placed on the use of mathematical models for the effective design and managem
89 n in microbiology and molecular biology, the mathematical models generally used to describe the popul
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
102 To test this, we present an individual-based mathematical model incorporating all the important cell-
109 for researchers interested in incorporating mathematical modeling into their scientific process.
116 Unfortunately, the construction of complete mathematical models is often hindered by a pervasive pro
125 ased on these data, we constructed a dynamic mathematical model of bacterial interactions in the lake
127 f colorectal cancer can be recovered using a mathematical model of colorectal cancer initiation toget
129 of Europe's largest countries, and develop a mathematical model of COVID-19 dynamics, using latest da
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
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
144 Focusing on mutational events, we provide a mathematical model of the full process of tumor evolutio
147 In this work, we developed a comprehensive mathematical model of the network that describes the tem
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
154 a response-guided therapy approach, based on mathematical modeling of early viral kinetics, to reduce
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
169 e clinical trials guided by patient-specific mathematical models of intratumoral evolutionary dynamic
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
178 eview selected experimental and theoretical (mathematical) models pertaining to the hypothesis that l
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
195 ther MSCs exert a pro- or anti-tumor action, mathematical models such as this one help to quantitativ
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
204 egulation of flagella quantity, we propose a mathematical model that connects the flagellar gene regu
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
211 In this study, we develop a mechanistic, mathematical model that permits both direct (host-to-hos
213 siologically relevant biochemicals, a robust mathematical model that quantifies the contributions of
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
221 together with the mechanistic framework of a mathematical model, there can be a considerably enhanced
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
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
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
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
243 rmed an allocative efficiency study, using a mathematical model to simulate the progression of HCV in
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
251 ere, we combine an experimental approach and mathematical modeling to explore how phages and their mo
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
258 transcriptomics, infection-based assays and mathematical modelling to reassess the relationship betw
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
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
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
277 analysis of ESCRT-III-depleted cells with a mathematical model, we show that upstream ESCRT-induced
281 single-cell imaging, genomic approaches, and mathematical modeling, we find that hESCs commit to exit
283 ysiology, optogenetics, behavioral tasks and mathematical modeling, we found that subthalamic stimula
286 fixed cell analysis, live cell imaging, and mathematical modeling, we show that populations of newly
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
300 in periodically-paced excitable media using mathematical models with different levels of complexity: