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  1. Comparative analysis of mathematical models for assessing damage to critical organs during radiation therapy

    We present here the results of calculating the probability of complications in patients’ normal tissues using four mathematical models with the aim...

    E. S. Sukhikh, L. G. Sukhikh, ... O. M. Stakhova in Biomedical Engineering
    Article 17 November 2023
  2. Comparative analysis of mathematical models describing radiobiological processes in radiotherapy

    The concept of biologically effective dose (BED) is widely used to compare the efficacies of different fractionation regimens and to evaluate the...

    E. S. Sukhikh, L. G. Sukhikh, ... V. V. Rozanov in Biomedical Engineering
    Article 26 March 2024
  3. Mathematical Models in Immuno-Oncology

    Precision medicine employs intricate statistical methods to evaluate relationships between patient profiles and fundamental clinically driven...
    Luca Bertolaccini, Claudia Bardoni, Lorenzo Spaggiari in Handbook of Cancer and Immunology
    Living reference work entry 2022
  4. Estimating immunity with mathematical models for SARS-CoV-2 after COVID-19 vaccination

    Tools that can be used to estimate antibody waning following COVID-19 vaccinations can facilitate an understanding of the current immune status of...

    Yoshifumi Uwamino, Kengo Nagashima, ... Mitsuru Murata in npj Vaccines
    Article Open access 06 March 2023
  5. An Overview of Spiral- and Scroll-Wave Dynamics in Mathematical Models for Cardiac Tissue

    We provide a brief overview of recent numerical studies of spiral- and scroll-wave dynamics in mathematical models of cardiac tissue. These waves are...
    Mahesh Kumar Mulimani, Soling Zimik, ... Rahul Pandit in Heart Rate and Rhythm
    Chapter 2023
  6. Ocular Fluid Mechanics and Drug Delivery: A Review of Mathematical and Computational Models

    The human eye is a complex biomechanical structure with a range of biomechanical processes involved in various physiological as well as pathological...

    Ajay Bhandari in Pharmaceutical Research
    Article 22 December 2021
  7. Biomarkers selection and mathematical modeling in biological age estimation

    Biological age (BA) is important for clinical monitoring and preventing aging-related disorders and disabilities. Clinical and/or cellular biomarkers...

    Solim Essomandan Clémence Bafei, Chong Shen in npj Aging
    Article Open access 01 July 2023
  8. Advancing cancer drug development with mechanistic mathematical modeling: bridging the gap between theory and practice

    Quantitative predictive modeling of cancer growth, progression, and individual response to therapy is a rapidly growing field. Researchers from...

    Alexander Kulesza, Claire Couty, ... Yanguang Cao in Journal of Pharmacokinetics and Pharmacodynamics
    Article 21 June 2024
  9. Mathematical Modeling of Gene Regulatory Networks: An Introduction

    Neurodegenerative diseases are characterized by protein abnormalities and progressive loss of neurons. Modeling the complex molecular and cellular...
    Reference work entry 2023
  10. Mathematical Modeling of Gene Regulatory Networks: An Introduction

    Neurodegenerative diseases are characterized by protein abnormalities and progressive loss of neurons. Modeling the complex molecular and cellular...
    Living reference work entry 2023
  11. Current Advances in Mathematical Models of Initial Response to Mechanical Stimulation at Acupoint

    The response of acupoints to mechanical stimulation includes local mast cells degranulation and the cascade reaction of biological transmitters....
    Chapter 2022
  12. Neuronal Encoding Models

    This review summarizes the basic information about neurons and their mechanisms and it presents a variety of the mathematical models applied in...
    Reference work entry 2023
  13. Mathematical Modeling and Biocybernetics in Medical Diagnostic Systems

    This article reviews the most interesting reports of the “Mathematical modeling and biocybernetics” section of the XV International Scientific...

    Z. M. Yuldashev in Biomedical Engineering
    Article 11 January 2023
  14. Building Mathematical Models for Vascular Growth and Inhibition

    Microvascular channel growth and inhibition, such as what occurs in vasculogenic mimicry, are generally represented in tables or shown in bar graphs....
    Fernanda Vieira Berti, Luismar Marques Porto in Vasculogenic Mimicry
    Protocol 2022
  15. Epidemiology and SIR Models

    Epidemiology is a science that aims to understand the distribution and causes of health-related conditions, including the dynamics of infectious...
    Michael G. Milgroom in Biology of Infectious Disease
    Chapter 2023
  16. Mathematical Modeling of Circadian Rhythms

    Mathematical techniques are often viewed as tools for data description and analysis. A valuable additional purpose is employing mathematical models...
    Lindsey S. Brown, John H. Abel, ... Francis J. Doyle in Circadian Clocks
    Protocol 2022
  17. An Update on Pharmacokinetic Models

    The process and kinetics involved in drug distribution and disposition are complex, and drug events often happen simultaneously. The process is...
    Chapter 2023
  18. Optimization of the Parameters of Ventricular Assist Devices Using Computerized Mathematical Modeling of the Cardiovascular System

    The construction of secondary mathematical models for optimizing the parameters of nonpulsatile flow pumps (NPFP) for ventricular assistance is...

    A. I. Syrbu, G. P. Itkin in Biomedical Engineering
    Article 14 July 2022
  19. Novel Meta-iodobenzylguanidine and Etoposide Complex: Physicochemical Characterization and Mathematical Modeling of Anticancer Activity

    It is hypothesized that meta-iodobenzylguanidine (MIBG) complexation with etoposide (VP-16) will improve drug solubility and specificity towards...

    Omowumi Akinjole, Kathryn Menta, ... Bi-Botti Celestin Youan in AAPS PharmSciTech
    Article 18 August 2023
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