Search Results - "Flores, Kevin B"
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Biologically-informed neural networks guide mechanistic modeling from sparse experimental data
Published in PLoS computational biology (01-12-2020)“…Biologically-informed neural networks (BINNs), an extension of physics-informed neural networks [1], are introduced and used to discover the underlying…”
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Hybrid modeling and prediction of dynamical systems
Published in PLoS computational biology (01-07-2017)“…Scientific analysis often relies on the ability to make accurate predictions of a system's dynamics. Mechanistic models, parameterized by a number of unknown…”
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Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis
Published in PLoS computational biology (01-06-2021)“…Angiogenesis is the process by which blood vessels form from pre-existing vessels. It plays a key role in many biological processes, including embryonic…”
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4
Deep learning-enabled analysis reveals distinct neuronal phenotypes induced by aging and cold-shock
Published in BMC biology (23-09-2020)“…Abstract Background Access to quantitative information is crucial to obtain a deeper understanding of biological systems. In addition to being low-throughput,…”
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5
A tutorial review of mathematical techniques for quantifying tumor heterogeneity
Published in Mathematical biosciences and engineering : MBE (01-01-2020)“…Intra-tumor and inter-patient heterogeneity are two challenges in developing mathematical models for precision medicine diagnostics. Here we review several…”
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6
Learning differential equation models from stochastic agent-based model simulations
Published in Journal of the Royal Society interface (01-03-2021)“…Agent-based models provide a flexible framework that is frequently used for modelling many biological systems, including cell migration, molecular dynamics,…”
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Learning partial differential equations for biological transport models from noisy spatio-temporal data
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-02-2020)“…We investigate methods for learning partial differential equation (PDE) models from spatio-temporal data under biologically realistic levels and forms of…”
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Estimation of Parameter Distributions for Reaction-Diffusion Equations with Competition using Aggregate Spatiotemporal Data
Published in Bulletin of mathematical biology (01-07-2023)“…Reaction-diffusion equations have been used to model a wide range of biological phenomenon related to population spread and proliferation from ecology to…”
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Role of Methylation of DNA in Environmental Adaptation
Published in Integrative and comparative biology (01-08-2013)“…Methylation of DNA is an epigenetic mechanism that influences patterns of gene expression. DNA methylation marks contribute to adaptive phenotypic variation…”
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Learning Equations from Biological Data with Limited Time Samples
Published in Bulletin of mathematical biology (09-09-2020)“…Equation learning methods present a promising tool to aid scientists in the modeling process for biological data. Previous equation learning studies have…”
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Predicting Inter-individual Variability During Lipid Resuscitation of Bupivacaine Cardiotoxicity in Rats: A Virtual Population Modeling Study
Published in Drugs in R&D (01-09-2021)“…Introduction Intravenous lipid emulsions (ILE) have been credited for successful resuscitation in drug intoxication cases where other cardiac life-support…”
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Quantifying collective motion patterns in mesenchymal cell populations using topological data analysis and agent-based modeling
Published in Mathematical biosciences (01-04-2024)“…Fibroblasts in a confluent monolayer are known to adopt elongated morphologies in which cells are oriented parallel to their neighbors. We collected and…”
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Forecasting and Uncertainty Quantification Using a Hybrid of Mechanistic and Non-mechanistic Models for an Age-Structured Population Model
Published in Bulletin of mathematical biology (01-06-2018)“…In this paper, we present a new method for the prediction and uncertainty quantification of data-driven multivariate systems. Traditionally, either mechanistic…”
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Stoichiometric Ecotoxicology for a Multisubstance World
Published in Bioscience (01-02-2021)“…Abstract Nutritional and contaminant stressors influence organismal physiology, trophic interactions, community structure, and ecosystem-level processes;…”
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15
Detection of Bladder Contractions From the Activity of the External Urethral Sphincter in Rats Using Sparse Regression
Published in IEEE transactions on neural systems and rehabilitation engineering (01-08-2018)“…Bladder overactivity and incontinence and dysfunction can be mitigated by electrical stimulation of the pudendal nerve applied at the onset of a bladder…”
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Deciphering a methylome: what can we read into patterns of DNA methylation?
Published in Journal of experimental biology (01-10-2011)“…The methylation of cytosines within cytosine-guanine (CG) dinucleotides is an epigenetic mark that can modify gene transcription. With the advent of…”
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Optimal design of non-equilibrium experiments for genetic network interrogation
Published in Applied mathematics letters (01-02-2015)“…Many experimental systems in biology, especially synthetic gene networks, are amenable to perturbations that are controlled by the experimenter. We developed…”
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Continuous Structured Population Models for Daphnia magna
Published in Bulletin of mathematical biology (01-11-2017)“…We continue our efforts in modeling Daphnia magna , a species of water flea, by proposing a continuously structured population model incorporating…”
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Immuno-modulatory strategies for reduction of HIV reservoir cells
Published in Journal of theoretical biology (07-05-2015)“…Antiretroviral therapy is able to suppress the viral load to below the detection limit, but it is not able to eradicate HIV reservoirs. Thus, there is a…”
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A structured population modeling framework for quantifying and predicting gene expression noise in flow cytometry data
Published in Applied mathematics letters (01-07-2013)“…We formulated a structured population model with distributed parameters to identify mechanisms that contribute to gene expression noise in time-dependent flow…”
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