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1                                          The mathematical aberration of the Gregorian chronology's mi
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
4                                    Moreover, mathematical analyses showed that the model can be simpl
5                                        Then, mathematical analysis and detailed numerical investigati
6            The model is amenable to detailed mathematical analysis and gives insight on the mechanism
7                             The quantitative mathematical analysis of the dynamic bright-field imagin
8                                          The mathematical analysis of this model, simulations of a si
9                Our numerical simulations and mathematical analysis revealed that, contrary to the pri
10                               We compare our mathematical analysis with the results of agent-based co
11                                              Mathematical and computational (in silico) models can pr
12           Consistent with these results, our mathematical and computational approaches predict that g
13                                 However, new mathematical and computational methods are required to r
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
17                         We will describe the mathematical and physiologic background underlying chang
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
20                 Computer simulations using a mathematical antibiotic treatment model indicated that a
21                           Here, we present a mathematical approach based on the mutual Shannon inform
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
26 ironments by explicitly unifying theory from mathematical biology and finance.
27                            We have created a mathematical bottom-up model for a synergistic mixture e
28 usceptible-exposed-infectious-removed (SEIR) mathematical compartmental model system that characteriz
29                                 We present a mathematical/computational model of GJ channel voltage g
30              We argue that PSO security is a mathematical concept with legal consequences.
31                                  Topology, a mathematical concept, has recently become a popular and
32                                   We suggest mathematical conjectures and questions arising from thes
33  three theoretical approaches that have deep mathematical connections: dynamical systems, Bayesian in
34       The findings suggest that the proposed mathematical contagion model offers great potential to s
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
39 ent, we developed and analyzed an integrated mathematical-experimental model.
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
44                                     From the mathematical formulation of biocultural complexity, form
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
47                          Here, we review the mathematical foundations of these algorithms as well as
48            We first introduce its underlying mathematical framework and present the types of question
49 e philosophy of science emerge from a common mathematical framework and provide insight into why peop
50                   In this work, we propose a mathematical framework based on counting processes that
51          Then, with a focus on bringing this mathematical framework closer to neurobiology, we detail
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
55                Here we present a trait-based mathematical framework for investigating how tri-trophic
56 n and Huxley explicit formulation provides a mathematical framework for understanding excitability, a
57       To enable such studies, we introduce a mathematical framework that contrasts MR analysis of pro
58  improved immunotherapy, we have developed a mathematical framework that incorporates complex interac
59                            Here we present a mathematical framework which reveals that, for estimatin
60 tiretroviral treatment (ART) using a popular mathematical framework.
61                                We describe a mathematical generalization that builds on prior work in
62           Worm morphologies are encoded with mathematical graphs based on anatomical ontology terms t
63           These models are founded on robust mathematical hypotheses that describe how A responds to
64 is workflow that combines deep learning with mathematical image analysis to accurately segment and cl
65                        This paper presents a mathematical implementation of the new concept and descr
66                                    We used a mathematical model and Monte Carlo algorithm to estimate
67 he local hydrodynamics and, as revealed by a mathematical model benchmarked on the observations, on c
68                     Here, we create a simple mathematical model coupling T-cell recognition with an e
69                                    Herein, a mathematical model demonstrates that the large amount of
70                       We developed a minimal mathematical model demonstrating growth factor signaling
71                                          The mathematical model derived in this work can be easily ad
72                                            A mathematical model describing the viral infection dynami
73                                 We develop a mathematical model for fitness landscapes generated by s
74                                            A mathematical model for RNAPI elongation confirmed the im
75                                 We propose a mathematical model for the dynamics of c-di-GMP and (p)p
76 ormation processing capabilities, we built a mathematical model for the eS6 phosphorylation (eS6-P) c
77                                      Using a mathematical model for transmission and control of VL, w
78                                          The mathematical model for tumour spheroid growth is paramet
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-
81                                          Our mathematical model indicates that local nutrient depleti
82                                            A mathematical model is used to rapidly evaluate dosing st
83                                  Our initial mathematical model obtained a correlation coefficient of
84       Although these properties fit a recent mathematical model of automatic gradient scaling, that m
85 ased on these data, we constructed a dynamic mathematical model of bacterial interactions in the lake
86                            Here we develop a mathematical model of colorectal cancer initiation throu
87 f colorectal cancer can be recovered using a mathematical model of colorectal cancer initiation toget
88                         OR activity fitted a mathematical model of competitive receptor binding and s
89 of Europe's largest countries, and develop a mathematical model of COVID-19 dynamics, using latest da
90                We developed and calibrated a mathematical model of gonorrhea transmission among men w
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
93 tigens in a growing cancer by constructing a mathematical model of neoantigen evolution.
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
97                               We developed a mathematical model of TB transmission to project the imp
98       Here, we develop the first mechanistic mathematical model of the 2-input BLADE platform based o
99  Focusing on mutational events, we provide a mathematical model of the full process of tumor evolutio
100                                     We use a mathematical model of the HIV epidemic in South Africa t
101                  The principle is based on a mathematical model of the sporozoite rate (the proportio
102                                            A mathematical model of the wild boar ASF system is develo
103                                          The mathematical model predicted preferential CPP into cells
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
107                               We developed a mathematical model that combines biochemical signaling w
108 egulation of flagella quantity, we propose a mathematical model that connects the flagellar gene regu
109                           A phenomenological mathematical model that forms an essential basis for opt
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
112                 We developed a serocatalytic mathematical model to capture the change in seroprevalen
113        Further, we developed and validated a mathematical model to determine that fast, small-volume
114 e possibilities by fitting an age-structured mathematical model to epidemic data from China, Italy, J
115            Here we established a descriptive mathematical model to estimate the probability of self-r
116 including machine learning and a mechanistic mathematical model to find the optimal protocol for admi
117            We applied a previously published mathematical model to investigate the effect of interven
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
120                                    We used a mathematical model to predict the efficacy and effective
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
123                            Here, we fitted a mathematical model to seroprevalence livestock and human
124                            Here we develop a mathematical model to show, that in highly variable envi
125                           Finally, we used a mathematical model to simulate HRV under decreased "coup
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
129                                            A mathematical model was set up and validated to predict t
130                          An individual-based mathematical model was used to simulate annual HIV incid
131                     As predicted by a simple mathematical model, increasing sigma(B) expression shift
132                      We demonstrate, using a mathematical model, that dissolution of calcium that has
133                                      Using a mathematical model, we estimate that a large fraction of
134                   Guided by a resource-aware mathematical model, we identify and engineer natural and
135                                      Using a mathematical model, we show that the temporal asynchrony
136  analysis of ESCRT-III-depleted cells with a mathematical model, we show that upstream ESCRT-induced
137 ons from the literature to formulate a novel mathematical model.
138 lementing the strategy in a US state using a mathematical model.
139 nderstand this heterogeneity, we developed a mathematical model.
140 eriments, including treatments unseen by the mathematical model.
141 oint of data saturation was estimated with a mathematical model.
142                             Experimental and mathematical modeling analyses suggest that active cargo
143                               In this study, mathematical modeling and 3D printing were used to analy
144  types of hybrid error correction methods by mathematical modeling and analysis on both simulated and
145                                              Mathematical modeling and corresponding in vivo experime
146                                  Here, using mathematical modeling and statistical analyses of T cell
147                                         This mathematical modeling approach provides strong evidence
148                                      Using a mathematical modeling approach, we found that simply int
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
151                                              Mathematical modeling based on our data provides estimat
152 o, and in vitro studies, in combination with mathematical modeling can help optimize and guide the de
153                                              Mathematical modeling demonstrates that the NAC-induced
154 llow the optimal schedules generated through mathematical modeling entirely, but travelers who better
155                In this study, we developed a mathematical modeling framework to quantify the contribu
156                  To that end, we developed a mathematical modeling framework to simulate the AMP tria
157                   Conversely, recent work in mathematical modeling has demonstrated the relevance of
158 ization (smFISH), time-lapse microscopy, and mathematical modeling in single fission yeast cells to u
159            High-complexity DNA barcoding and mathematical modeling indicate a high rate of de novo ac
160                                              Mathematical modeling indicates that the Plk4 oscillatio
161  for researchers interested in incorporating mathematical modeling into their scientific process.
162                                   Rationale: Mathematical modeling is used to understand disease dyna
163                                      Current mathematical modeling methods for assessing cytopenia ri
164                  This study demonstrates how mathematical modeling of cancer evolution can be used to
165                                              Mathematical modeling of healthcare-associated infection
166                                              Mathematical modeling of plant metabolism enables the pl
167                                      Lastly, mathematical modeling of tGD spread within populations r
168                                              Mathematical modeling of the stochastic process of cance
169         By combining our sequencing data and mathematical modeling of transcription, we found that Xr
170                                              Mathematical modeling provides a means to investigate th
171                                   Stochastic mathematical modeling provides insight to the biological
172                                              Mathematical modeling revealed that SOC reduces mechanic
173            There is hence an urgent need for mathematical modeling that can quantitatively describe t
174             Here, we combine experiments and mathematical modeling to elaborate the minimal autonomou
175                                      We used mathematical modeling to estimate HDV-HBsAg-host paramet
176                                 Here, we use mathematical modeling to examine the epidemiological imp
177 ere, we combine an experimental approach and mathematical modeling to explore how phages and their mo
178                             Here, we utilize mathematical modeling to investigate how small outward c
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
181                         In this study we use mathematical modeling to understand better how these con
182 ostate cancer and CRPC.Significance: Merging mathematical modeling with experimental data, this study
183                          We further combined mathematical modeling with quantitative trait and expres
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
186           This approach, in conjunction with mathematical modeling, enabled us to quantify the nuclea
187                           Using genetics and mathematical modeling, we develop an alternative model o
188                                        Using mathematical modeling, we found that ratio-sensing is a
189 ysiology, optogenetics, behavioral tasks and mathematical modeling, we found that subthalamic stimula
190                                     Based on mathematical modeling, we here demonstrate that clusters
191  fixed cell analysis, live cell imaging, and mathematical modeling, we show that populations of newly
192                                Together with mathematical modeling, we unambiguously demonstrate no c
193 ual patient level, and (3) computational and mathematical modeling, which blends in silico simulation
194 ociated with sexual receptivity length using mathematical modeling.
195 nto finite-sized target structures employing mathematical modeling.
196 rcial and institutional IR databases without mathematical modeling.
197 perturbation, bioinformatic predictions, and mathematical modeling.
198                             Here, we combine mathematical modelling and data from eleven bipartite pl
199 icroscopy, transmission electron microscopy, mathematical modelling and genetic manipulation to visua
200                                     Taking a mathematical modelling approach, we investigate how tumo
201                                   In plants, mathematical modelling has been comprehensively integrat
202                                              Mathematical modelling has successfully been used to pro
203                                       Whilst mathematical modelling is well established in informing
204                                              Mathematical modelling of real complex networks aims to
205 destructive monitoring of cancer clones, and mathematical modelling of tumour evolution.
206                                              Mathematical modelling shows that amplifications also tu
207                                      In this mathematical modelling study of perinatal hepatitis B tr
208                                              Mathematical modelling suggests that the probability of
209                                 Supported by mathematical modelling, our results establish that multi
210                        Here we show, through mathematical modelling, that the patterns of dominant Sp
211 ia and combining single-cell RNA sequencing, mathematical modelling, transplantation assays and intra
212                                        Using mathematical modelling, we propose that the BotC network
213 ct under a range of supply constraints using mathematical modelling.
214                                   While many mathematical models (MMs) have described the course of i
215 ed environment, it is necessary to integrate mathematical models across biological scales.
216         In addition, assumptions to make the mathematical models analytically tractable limit the sea
217                                              Mathematical models and computer simulations demonstrate
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.
220                                              Mathematical models demonstrate that a serological testi
221            We further evaluated how well bio-mathematical models designed to predict performance chan
222                        In this work we study mathematical models for a basic chemical signal, the arr
223 s increasing importance placed on the use of mathematical models for the effective design and managem
224                                     Yet, few mathematical models have aimed to identify optimal treat
225                                While several mathematical models have been explored in the context of
226                                              Mathematical models imply that a prolonged time (decades
227                                              Mathematical models incorporating variability successful
228                   However, developing useful mathematical models is challenging because of the often
229  Unfortunately, the construction of complete mathematical models is often hindered by a pervasive pro
230                                              Mathematical models of biological reactions at the syste
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
233                                              Mathematical models of gene flow in populations, which i
234 e clinical trials guided by patient-specific mathematical models of intratumoral evolutionary dynamic
235                                              Mathematical models of mosquito-barrier interactions ide
236 d yield to intervention techniques guided by mathematical models of neuronal ensemble dynamics.
237                     Here, we developed novel mathematical models of Process S based on cortical activ
238             We compared experimental data to mathematical models of spreading mechanisms to determine
239                                     However, mathematical models require in vitro data prior to predi
240 ther MSCs exert a pro- or anti-tumor action, mathematical models such as this one help to quantitativ
241                                           In mathematical models that are frequently used to guide su
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
244                    This can be achieved with mathematical models that properly account for risk heter
245           Behavioral strategies and abstract mathematical models thereof have been described in detai
246        We applied existing and developed new mathematical models to calculate the health and climate
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
249                                       We use mathematical models to explore how the efficacy of LAIV
250                                       We use mathematical models to illustrate their possible modes o
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
253 ciation constants were determined by fitting mathematical models to the experimental data.
254                            We found that bio-mathematical models were able to predict average changes
255 C and five different semi-theoretical drying mathematical models were examined to characterize the dr
256  computational fluid dynamics and analytical mathematical models).
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
259                     Using 3 well-established mathematical models, we show that low-level prevalence c
260 to estimate key HIV epidemic indicators from mathematical models.
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
264 (HAL) is a Java Library developed for use in mathematical oncology modeling.
265                    Equally rapid progress in mathematical oncology over this time period has often co
266 de between the variables of interest and the mathematical operations necessitated.
267                                        Using mathematical optimization, and subsequently the Liver Si
268      Therefore, it is difficult to develop a mathematical or artificial intelligence model that descr
269 lize theories of suicide, expressing them as mathematical or computational models.
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
273 idemic process to permit the construction of mathematical predictive models.
274 ns and combine these operations to solve the mathematical problem Learning Parity with Noise (LPN).
275        Thus, physical machines can solve the mathematical problem of optimization, including constrai
276                               We propose new mathematical programming models for optimal partitioning
277                               Exploiting the mathematical properties of the phasor method, we transfo
278 ation processes based on simple yet powerful mathematical properties that can be used to describe man
279                                              Mathematical properties, such as minimal ring or circuit
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.
282                                  Significant mathematical relationships between the individual abunda
283                                       Recent mathematical results concerning ranked genealogies witho
284                                      Using a mathematical simulation, we examined 3 screening strateg
285                         Social inequality in mathematical skill is apparent at kindergarten entry and
286 n these two basic phenomena and more complex mathematical skills is mixed.
287 number sense, has been recurrently linked to mathematical skills, although the nature of the mechanis
288  studied in participants with normal or poor mathematical skills, not in mathematicians.
289                                      A novel mathematical-statistical framework that included EAs wit
290 nalstructure of the biological system by the mathematical structure of the DNN.
291                                          Our mathematical study establishes a consumption based pover
292                  Here, we use ideas from the mathematical theory of self-assembly to enumerate the en
293                             Here, we develop mathematical theory to show that the rate of such intera
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.
300                       Recent theoretical and mathematical work supports this idea and provide a bluep

 
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