Updated: July 31st, 2023 21:15

2022 journal article

Multitask neural networks for predicting bladder pressure with time series data

*BIOMEDICAL SIGNAL PROCESSING AND CONTROL*, *72*.

UN Sustainable Development Goal Categories

5. Gender Equality
(Web of Science)

Source: Web Of Science

Added: November 29, 2021

2020 review

A tutorial review of mathematical techniques for quantifying tumor heterogeneity

[Review of ]. *MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *17*(4), 3660–3709.

author keywords: cancer heterogeneity; mathematical oncology; tumor growth; glioblastoma multiforme; virtual populations; nonlinear mixed effects; spatiotemporal data; Bayesian estimation; generative; adversarial networks; non-parametric estimation; variational autoencoders; machine learning

MeSH headings : Bayes Theorem; Humans; Machine Learning; Models, Theoretical; Neoplasms; Precision Medicine

TL;DR:
Several techniques that can be used to aid the mathematical modeller in inferring and quantifying both sources of heterogeneity from patient data are reviewed, including virtual populations, nonlinear mixed effects modeling, non-parametric estimation, Bayesian techniques, and machine learning.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 3, 2020

2020 journal article

Learning partial differential equations for biological transport models from noisy spatio-temporal data

author keywords: numerical differentiation; equation learning; sparse regression; partial differential equations; parameter estimation; biological transport

TL;DR:
It is shown that the ANN methodology outperforms previous denoising methods, including finite differences and both local and global polynomial regression splines, in the ability to accurately approximate partial derivatives and learn the correct PDE model.
(via Semantic Scholar)

Source: Web Of Science

Added: March 30, 2020

2018 article

Automated Object Tracing for Biomedical Image Segmentation Using a Deep Convolutional Neural Network

*MEDICAL IMAGE COMPUTING AND COMPUTER ASSISTED INTERVENTION - MICCAI 2018, PT IV*, Vol. 11073, pp. 686–694.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 12, 2019

2018 journal article

Estimating intratumoral heterogeneity from spatiotemporal data

*JOURNAL OF MATHEMATICAL BIOLOGY*, *77*(6-7), 1999–2022.

author keywords: Glioblastoma multiforme; Random differential equation; Parameter estimation

MeSH headings : Antineoplastic Agents / therapeutic use; Brain Neoplasms / drug therapy; Brain Neoplasms / pathology; Cell Movement; Cell Proliferation; Computer Simulation; Glioblastoma / drug therapy; Glioblastoma / pathology; Humans; Mathematical Concepts; Models, Biological; Neoplasm Invasiveness / pathology; Phenotype; Probability; Spatio-Temporal Analysis; Tumor Burden / drug effects

TL;DR:
The predicted effect of treatment, specifically, chemotherapy, when assuming such a heterogeneous population and compare with predictions from a homogeneous cell population model are examined.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: December 17, 2018

2018 journal article

Simple multi-scale modeling of the transmission dynamics of the 1905 plague epidemic in Bombay

*MATHEMATICAL BIOSCIENCES*, *301*, 83–92.

author keywords: Multi-scale modeling; Sub-exponential growth; Plague epidemic; 1905 Bombay plague; Mathematical modeling; Disease transmission dynamics

MeSH headings : Basic Reproduction Number; Confidence Intervals; Epidemics / history; Epidemics / statistics & numerical data; Forecasting / methods; History, 20th Century; Humans; India / epidemiology; Logistic Models; Mathematical Concepts; Models, Biological; Plague / epidemiology; Plague / history; Plague / transmission; Spatio-Temporal Analysis

TL;DR:
It is shown that it is possible for the growth of an epidemic in the early phase to be sub-exponential at sub-city level, while maintaining near exponential growth at an aggregated city level, and the rate of movement between districts can have a significant effect on the final epidemic size.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science; OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2018 journal article

TRAVELING WAVES OF A GO-OR-GROW MODEL OF GLIOMA GROWTH

*SIAM JOURNAL ON APPLIED MATHEMATICS*, *78*(3), 1778–1801.

author keywords: glioblastoma; tumor growth; go or grow; traveling wave; mathematical modeling

TL;DR:
The first mathematical models of the spread of gliomas featured reaction-diffusionEquilibrium models, which showed clear trends in how tumor cells excessively proliferate and migrate.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2017 journal article

Effects of non-physiological blood pressure artefacts on cerebral autoregulation

*MEDICAL ENGINEERING & PHYSICS*, *47*, 218–221.

author keywords: Cerebral autoregulation; Cerebral blood flow; Arterial blood pressure; Blood pressure artefacts

TL;DR:
It is shown that a sufficiently large saturation and square wave always result in ARI reaching the maximum value of 9, and the critical size of artefacts is characterized, defined as the minimum artefact size that, on average, leads to a 10% deviation of ARI.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2017 journal article

Mathematical Analysis of Glioma Growth in a Murine Model

*SCIENTIFIC REPORTS*, *7*.

MeSH headings : Animals; Cell Line, Tumor; Disease Models, Animal; Female; Glioma / genetics; Glioma / pathology; Humans; Mice; Models, Theoretical; Tumor Burden / genetics; Tumor Burden / physiology; Xenograft Model Antitumor Assays

TL;DR:
The parameters obtained from a best-fit procedure, designed to yield simulated tumors as close as possible to the observed ones, vary by an order of magnitude between the three mice analyzed in detail, as well as errors in the mathematical model.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

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