AIMC Topic: Mathematical Concepts
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A Framework for Parameter Estimation and Uncertainty Quantification in Systems Biology Using Quantile Regression and Physics-Informed Neural Networks.
Bulletin of mathematical biology
Mar 28, 2025
A framework for parameter estimation and uncertainty quantification is crucial for understanding the mechanisms of biological interactions within complex systems and exploring their dynamic behaviors beyond what can be experimentally observed. Despit...
[PSI]-CIC: A Deep-Learning Pipeline for the Annotation of Sectored Saccharomyces cerevisiae Colonies.
Bulletin of mathematical biology
Dec 6, 2024
The prion phenotype in yeast manifests as a white, pink, or red color pigment. Experimental manipulations destabilize prion phenotypes, and allow colonies to exhibit (red) sectored phenotypes within otherwise completely white colonies. Further inve...
Forecasting and Predicting Stochastic Agent-Based Model Data with Biologically-Informed Neural Networks.
Bulletin of mathematical biology
Sep 23, 2024
Collective migration is an important component of many biological processes, including wound healing, tumorigenesis, and embryo development. Spatial agent-based models (ABMs) are often used to model collective migration, but it is challenging to thor...
A mathematical theory of relational generalization in transitive inference.
Proceedings of the National Academy of Sciences of the United States of America
Jul 5, 2024
Humans and animals routinely infer relations between different items or events and generalize these relations to novel combinations of items. This allows them to respond appropriately to radically novel circumstances and is fundamental to advanced co...
Inferring Parameters of Pyramidal Neuron Excitability in Mouse Models of Alzheimer's Disease Using Biophysical Modeling and Deep Learning.
Bulletin of mathematical biology
Mar 25, 2024
Alzheimer's disease (AD) is believed to occur when abnormal amounts of the proteins amyloid beta and tau aggregate in the brain, resulting in a progressive loss of neuronal function. Hippocampal neurons in transgenic mice with amyloidopathy or tauopa...
Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making.
Scientific reports
Sep 30, 2022
The major theme of this analysis is to suggest a new theory in the form of complex picture fuzzy soft (CPFS) information and to initiate their major algebraic laws, score value, and accuracy values. The mathematical form of the CPFS set includes thre...
An Overview of Deep Learning Techniques on Chest X-Ray and CT Scan Identification of COVID-19.
Computational and mathematical methods in medicine
Jun 4, 2021
Pneumonia is an infamous life-threatening lung bacterial or viral infection. The latest viral infection endangering the lives of many people worldwide is the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), which causes COVID-19. This pa...
Radiologists versus Deep Convolutional Neural Networks: A Comparative Study for Diagnosing COVID-19.
Computational and mathematical methods in medicine
May 10, 2021
The reverse transcriptase polymerase chain reaction (RT-PCR) is still the routinely used test for the diagnosis of SARS-CoV-2 (COVID-19). However, according to several reports, RT-PCR showed a low sensitivity and multiple tests may be required to rul...
COVID-19 in Iran: Forecasting Pandemic Using Deep Learning.
Computational and mathematical methods in medicine
Feb 25, 2021
COVID-19 has led to a pandemic, affecting almost all countries in a few months. In this work, we applied selected deep learning models including multilayer perceptron, random forest, and different versions of long short-term memory (LSTM), using thre...
Assessment of acute kidney injury risk using a machine-learning guided generalized structural equation model: a cohort study.
BMC nephrology
Feb 22, 2021
BACKGROUND: Acute kidney injury is common in the surgical intensive care unit (ICU). It is associated with poor patient outcomes and high healthcare resource usage. This study's primary objective is to help identify which ICU patients are at high ris...
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