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  1. Protein receptors and ion channels

    One essential requirement of sensory eukaryotic cells and single-cell organisms such as bacteria is to monitor the environment and to respond...
    Chapter 2021
  2. A robust optimal control framework for controlling aberrant RTK signaling pathways in esophageal cancer

    This study presents a new framework for obtaining personalized optimal treatment strategies targeting aberrant signaling pathways in esophageal...

    Souvik Roy, Zui Pan, ... Jashmon Rana in Journal of Mathematical Biology
    Article 05 January 2024
  3. Modeling the Development of Cellular Exhaustion and Tumor-Immune Stalemate

    Cellular exhaustion in various immune cells develops in response to prolonged stimulation and overactivation during chronic infections and in cancer....

    Tyler Simmons, Doron Levy in Bulletin of Mathematical Biology
    Article 21 September 2023
  4. A Mathematical Model of Cell Clustering

    This paper presents a numerical method for modelling cell migration. The aim of this research is to generate a model that accurately simulates to...
    A. Farmer, P. J. Harris in Integral Methods in Science and Engineering
    Conference paper 2023
  5. Simulating Temporal and Spatial Changes in Biological Phenomena

    In the previous chapter, we discussed the mathematical model of ordinary differential equations, which considers only the time derivative without...
    Chapter 2022
  6. The Issues Regarding the Organization of the Human Retina: A Cybernetic Approach

    The issues in the organization of the human retina are analyzed from the point of view of cybernetics. In particular, hypotheses are formed regarding...

    Article 01 January 2023
  7. Realizing Synaptic Signal Transmission During Astrocyte-Neuron Interactions within the EMI Framework

    The tripartite synapse or “neural threesome” refers to the interplay in the synapse between neighbouring neurons, the synaptic cleft, and the...
    Julia Gorman, Konstantin Holzhausen, ... Jørgen Riseth in Computational Physiology
    Chapter Open access 2023
  8. Adaptive Filtering of Distributed Data Based on Modeling the Perception Mechanisms of Living Sensory Systems

    The article is devoted to the results of the adaptive filtering synthesis in the frames of neuromorphic model inspired by biological sensory system....
    Viacheslav E. Antsiperov in Mathematical Modeling in Physical Sciences
    Conference paper 2024
  9. Modelling Plasmid-Mediated Horizontal Gene Transfer in Biofilms

    In this study, we present a mathematical model for plasmid spread in a growing biofilm, formulated as a nonlocal system of partial differential...

    Julien Vincent, Alberto Tenore, ... Luigi Frunzo in Bulletin of Mathematical Biology
    Article Open access 25 April 2024
  10. Inverse Modelling of the Cellular Immune Response to SARS-CoV-2

    The ongoing struggle with COVID-19 persists as most researchers endeavour to find a successful method to curb global pandemics. Consequently, there...
    Conference paper 2024
  11. Mathematical Modeling of the Dimerization of EGFR and ErbB3 in Lung Adenocarcinoma

    The most common driver mutations in lung adenocarcinoma occur in the EGFR gene. Gefitinib, an EGFR tyrosine kinase inhibitor, is an effective therapy...
    Takeshi Ito, Takashi Suzuki, Yoshinori Murakami in Methods of Mathematical Oncology
    Conference paper 2021
  12. Travelling Wave Solutions and Stationary Solutions of a Reaction-Diffusion-ODE System

    The aim of this paper is to study a reaction-diffusion-ODE system which describes coupling of fast reacting receptors with ligands via diffusion in a...

    Lingling Hou, Conghui Zhang in Acta Applicandae Mathematicae
    Article 07 April 2023
  13. Mathematical Characterization of Private and Public Immune Receptor Sequences

    Diverse T and B cell repertoires play an important role in mounting effective immune responses against a wide range of pathogens and malignant cells....

    Lucas Böttcher, Sascha Wald, Tom Chou in Bulletin of Mathematical Biology
    Article Open access 14 September 2023
  14. Biological Neural Networks

    A biological neural network is composed of a group of connected neurons. A single neuron may be connected to many other neurons and the total number...
    Jong Chul Ye in Geometry of Deep Learning
    Chapter 2022
  15. The Search for Cancer Drivers

    During the past decade, significant technological and computational advances have provided unprecedented opportunities for gaining a better...
    Chapter 2024
  16. A Multi-Scale Immune System Simulator for the Onset of Type 2 Diabetes

    Type 2 diabetes mellitus (T2D), the most common form of diabetes, is a chronic metabolic disorder characterized by hyperglycemia, insulin resistance,...
    Maria Concetta Palumbo, Filippo Castiglione in Mathematical Models and Computer Simulations for Biomedical Applications
    Conference paper 2023
  17. Tumor Prediction Using Microarray Gene Expression Profiles Through SVM and CBFS

    The introduction to microarray technology has created a breakthrough in gene profiling which in turn has led to precise prediction of tumors....
    Ankan Bandyopadhyay, Abhishek Bandyopadhyay, Debasis Chakraborty in Accelerating Discoveries in Data Science and Artificial Intelligence I
    Conference paper 2024
  18. Axons, dendrites, and synapses

    Chapter 2 and chapter 3 considered single neuron models that idealised the nerve cell as a point or patch of cell membrane in which voltage is the...
    Stephen Coombes, Kyle C. A. Wedgwood in Neurodynamics
    Chapter 2023
  19. Modelling Cellular Interactions and Dynamics During Kidney Morphogenesis

    Kidney disease and renal disorders account for a significant proportion of health complications in mid-late adulthood worldwide. Many renal...

    Blake Cook, Alex Combes, ... James M. Osborne in Bulletin of Mathematical Biology
    Article 27 November 2021
  20. Percolation in Biological Systems

    Most biological systems are so complex that they preclude any reasonable description in terms of the exact interactions among their fundamental...
    Chapter 2023
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