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2 und to be associated with impairment in both mathematical abilities and estimation of continuous quan
3 nonatopic healthy controls (NAC, n = 13) by mathematical algorithms developed to manage high-dimensi
14 rimental techniques and the incipient use of mathematical and computational models to characterize th
15 ce-base underpinning policy decision making, mathematical and health economic modelling can be a valu
16 Zebrafish her6::Venus reporter combined with mathematical and in vivo experimentation, we explore how
18 ud computing and machine learning, with deep mathematical and statistical questions, and it does this
19 erged across mechanical, physical, chemical, mathematical, and biological disciplines to address the
22 e a contagion model as a simple and powerful mathematical approach for predicting the spatial spread
23 ions on the basis of 'additive area' but not mathematical area predicts number discrimination ability
24 ents reveal that (1) perceived area, but not mathematical area, strongly influences numerosity judgme
25 etrics for patient similarity using unbiased mathematical, biological, and clinical measures of inter
28 usceptible-exposed-infectious-removed (SEIR) mathematical compartmental model system that characteriz
33 three theoretical approaches that have deep mathematical connections: dynamical systems, Bayesian in
35 dentification of the physical meaning of the mathematical definition of CT opens up new possibilities
36 icle, I provide a full, exact, and universal mathematical description of the TC system at equilibrium
37 nty and complexity, which implies that exact mathematical equations to describe biological processes
38 research outcomes, presented through simple mathematical equations, outline the best CHD prevention
40 m dynamics allows us to derive an ab initio, mathematical expression for the Leidenfrost point of a f
41 The second phase of the study asks: can a mathematical feedback model account for the rotation tra
42 integrative approach of experimentation and mathematical flux balance analyses in BRAF-mutated melan
43 , we present a computational methodology and mathematical formalism to encode and curate the morpholo
45 athematical models, but they ensure that any mathematical formulation of the biological system is led
46 e a large improvement in the theoretical and mathematical foundations of movement ecology, to include
49 e philosophy of science emerge from a common mathematical framework and provide insight into why peop
52 ls from their environmental context, using a mathematical framework combined with multiscale data giv
53 material properties within a single unified mathematical framework derived from an energy perspectiv
54 el parameters provide a physically intuitive mathematical framework for describing the transition fro
56 n and Huxley explicit formulation provides a mathematical framework for understanding excitability, a
58 improved immunotherapy, we have developed a mathematical framework that incorporates complex interac
64 is workflow that combines deep learning with mathematical image analysis to accurately segment and cl
67 he local hydrodynamics and, as revealed by a mathematical model benchmarked on the observations, on c
76 ormation processing capabilities, we built a mathematical model for the eS6 phosphorylation (eS6-P) c
79 rticle, we describe the assembly of a hybrid mathematical model in which the spatial spread of inflam
80 To test this, we present an individual-based mathematical model incorporating all the important cell-
85 ased on these data, we constructed a dynamic mathematical model of bacterial interactions in the lake
87 f colorectal cancer can be recovered using a mathematical model of colorectal cancer initiation toget
89 of Europe's largest countries, and develop a mathematical model of COVID-19 dynamics, using latest da
91 ariation in infection outcomes, we devised a mathematical model of malaria infection that allowed hos
92 aging of MCTS systems to drive a biophysical mathematical model of MCTS growth and mechanical interac
94 to urinary protein excretion, we developed a mathematical model of protein reabsorption in the human
95 erences are based only on a well-established mathematical model of recombination and make no assumpti
96 and empirical understanding by developing a mathematical model of sexual conflict that incorporates
99 Focusing on mutational events, we provide a mathematical model of the full process of tumor evolutio
104 tors) are parameterized and used to inform a mathematical model that can predict circuit performance,
105 ic outcomes, we created a hybrid agent-based mathematical model that captures both the overall tumor
106 nisms driving these dynamics by developing a mathematical model that captures consortia response as s
108 egulation of flagella quantity, we propose a mathematical model that connects the flagellar gene regu
110 disease and normal individuals, we devised a mathematical model that incorporates two PT transport pr
111 tand this relationship, we used a multiscale mathematical model that integrates data from biology and
114 e possibilities by fitting an age-structured mathematical model to epidemic data from China, Italy, J
116 including machine learning and a mechanistic mathematical model to find the optimal protocol for admi
118 study we created and validated a multiscale mathematical model to investigate the impact of cross-ta
119 his article, we study a general, but simple, mathematical model to investigate whether the presence o
121 f relevant pathogen-specific RDTs, we used a mathematical model to predict the probability of correct
122 esent the results of utilizing a biophysical mathematical model to predict tumor response for two HER
126 rmed an allocative efficiency study, using a mathematical model to simulate the progression of HCV in
127 A recently-developed population-level T2DM mathematical model was adapted and applied to Jordan.
128 re characterized and a multiscale stochastic mathematical model was proposed to link the in vitro and
136 analysis of ESCRT-III-depleted cells with a mathematical model, we show that upstream ESCRT-induced
144 types of hybrid error correction methods by mathematical modeling and analysis on both simulated and
149 ristics of EMT dynamics, with a focus on the mathematical modeling approaches that have been instrume
150 tion to key experimental findings, we review mathematical modeling approaches that help researchers i
152 o, and in vitro studies, in combination with mathematical modeling can help optimize and guide the de
154 llow the optimal schedules generated through mathematical modeling entirely, but travelers who better
158 ization (smFISH), time-lapse microscopy, and mathematical modeling in single fission yeast cells to u
161 for researchers interested in incorporating mathematical modeling into their scientific process.
177 ere, we combine an experimental approach and mathematical modeling to explore how phages and their mo
179 ents in computer-controlled bioreactors with mathematical modeling to investigate whether containment
180 analysis of the RAD51-ssDNA interaction with mathematical modeling to show that the flexibility of DN
182 ostate cancer and CRPC.Significance: Merging mathematical modeling with experimental data, this study
184 We tested plausibility for CPP by combined mathematical modeling, comparison of predictions from th
185 of experiments, large-scale omics data, and mathematical modeling, complemented by the use of synthe
189 ysiology, optogenetics, behavioral tasks and mathematical modeling, we found that subthalamic stimula
191 fixed cell analysis, live cell imaging, and mathematical modeling, we show that populations of newly
193 ual patient level, and (3) computational and mathematical modeling, which blends in silico simulation
199 icroscopy, transmission electron microscopy, mathematical modelling and genetic manipulation to visua
211 ia and combining single-cell RNA sequencing, mathematical modelling, transplantation assays and intra
218 paid to the comprehensive description of the mathematical models and parameters of the active and pas
219 burden-is sufficiently high, an effect that mathematical models attribute to increased competition.
223 s increasing importance placed on the use of mathematical models for the effective design and managem
229 Unfortunately, the construction of complete mathematical models is often hindered by a pervasive pro
231 vel therapeutic approaches and build further mathematical models of combination therapies to treat pr
232 n 2015, the EPA used these data to construct mathematical models of ER agonist and antagonist pathway
234 e clinical trials guided by patient-specific mathematical models of intratumoral evolutionary dynamic
240 ther MSCs exert a pro- or anti-tumor action, mathematical models such as this one help to quantitativ
242 mplex processes into simpler subsystems; and mathematical models that can accelerate the design-build
243 iour can make it difficult to create concise mathematical models that can be easily extended or modif
247 hat moved across its sonar field and applied mathematical models to differentiate between nonpredicti
248 t synthetic Lactococcus lactis consortia and mathematical models to elucidate the role of interaction
251 experiments, extensive field data and novel mathematical models to indirectly estimate the magnitude
252 dying prion aggregation to show the power of mathematical models to synergistically interact with exp
255 C and five different semi-theoretical drying mathematical models were examined to characterize the dr
257 tions for behavioral modifications, based on mathematical models, are most likely to be followed in t
258 rve as the basis for developing a variety of mathematical models, but they ensure that any mathematic
261 is based on the combination of two existing mathematical models: one representing the dynamics of ph
262 eview selected experimental and theoretical (mathematical) models pertaining to the hypothesis that l
263 e risks of considering networks as idealized mathematical objects: overestimating the accuracy of net
268 Therefore, it is difficult to develop a mathematical or artificial intelligence model that descr
270 bes the experimental methods of defining the mathematical parameters for characterization of branched
271 applied to other polymers, and the relevant mathematical parameters for their characterization are a
272 the Kingman coalescent, the cornerstones of mathematical population genetics, in further discussions
274 ns and combine these operations to solve the mathematical problem Learning Parity with Noise (LPN).
278 ation processes based on simple yet powerful mathematical properties that can be used to describe man
280 al interaction we recover the aforementioned mathematical relation with the Hannay angle obtained fro
281 t with cortical recordings, and has a direct mathematical relationship to artificial neural networks.
287 number sense, has been recurrently linked to mathematical skills, although the nature of the mechanis
294 tudy supports the potential application of a mathematical tool to predict therapeutic feasibility, wh
295 le bimolecular equilibrium equation, similar mathematical tools are currently not available to descri
296 strategies that have been praised for their mathematical tractability and performance against single
297 tterns were compared with those generated by mathematical transmission models to test different hypot
298 ntroduce RANKCORR, a fast method with strong mathematical underpinnings that performs multi-class mar
299 plex multi-component technology as well as a mathematical understanding of pairs, sets, and numbers.