Search research articles

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Birdlife, a tourist attraction for the southern portion of Bacalar Lagoon, Quintana Roo, Mexico.

Brazilian journal of biology = Revista brasleira de biologia·2023

Same author

A multi-layered hybrid model for cancer cell invasion.

Medical & biological engineering & computing·2022

Same author

Regional Differences in Gamma-Aminobutyric Acid and Glutamate Concentrations in the Healthy Newborn Brain.

AJNR. American journal of neuroradiology·2021

Same author

A multi-scale agent-based model for avascular tumour growth.

Bio Systems·2021

Same author

THE PINEAL PARENCHYMAL NEOPLASMS - A CLINICOPATHOLOGICAL STUDY OF FOUR TUMOURS.

Medical journal, Armed Forces India·2018

Same author

A Case of Bacteræmia Caused by <i>Bacterium Alkaligenes Faecalis</i>.

The Indian medical gazette·2017

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Video

Updated: Dec 26, 2025

Author Spotlight: Creating Human Vascularized Micro-Tumors as Models for Translational Cancer Research

Author Spotlight: Creating Human Vascularized Micro-Tumors as Models for Translational Cancer Research

Published on: September 15, 2023

Avascular tumour growth models based on anomalous diffusion.

Sounak Sadhukhan¹, S K Basu²

¹Department of Computer Science, Institute of Science, Banaras Hindu University, Varanasi, 221005, India. sounaks.cse@gmail.com.

Journal of Biological Physics

|March 19, 2020

Summary

This summary is machine-generated.

This study models avascular tumor growth using fractional diffusion equations, offering a more accurate description of biological systems than simple diffusion models. Anomalous diffusion models provide better insights into tumor microenvironments and clinical facts.

Keywords:

Anomalous diffusion Avascular tumour growth Diffusion with memory Fractional derivative Fractional diffusion equation

More Related Videos

Tracking the Mammary Architectural Features and Detecting Breast Cancer with Magnetic Resonance Diffusion Tensor Imaging

Tracking the Mammary Architectural Features and Detecting Breast Cancer with Magnetic Resonance Diffusion Tensor Imaging

Published on: December 15, 2014

Author Spotlight: Integrating High-Resolution Intravital Imaging and MRI to Enhance Stereotactic Body Radiation Therapy Planning

Author Spotlight: Integrating High-Resolution Intravital Imaging and MRI to Enhance Stereotactic Body Radiation Therapy Planning

Published on: April 12, 2024

Related Experiment Videos

Last Updated: Dec 26, 2025

Author Spotlight: Creating Human Vascularized Micro-Tumors as Models for Translational Cancer Research

Author Spotlight: Creating Human Vascularized Micro-Tumors as Models for Translational Cancer Research

Published on: September 15, 2023

Tracking the Mammary Architectural Features and Detecting Breast Cancer with Magnetic Resonance Diffusion Tensor Imaging

Tracking the Mammary Architectural Features and Detecting Breast Cancer with Magnetic Resonance Diffusion Tensor Imaging

Published on: December 15, 2014

Author Spotlight: Integrating High-Resolution Intravital Imaging and MRI to Enhance Stereotactic Body Radiation Therapy Planning

Author Spotlight: Integrating High-Resolution Intravital Imaging and MRI to Enhance Stereotactic Body Radiation Therapy Planning

Published on: April 12, 2024

Area of Science:

Mathematical modeling of biological systems
Tumor microenvironment dynamics
Anomalous diffusion processes

Background:

Avascular tumor growth is complex, involving heterogeneous diffusion through porous cellular membranes.
Previous models often used simple diffusion, not fully capturing biological system complexities.
Fractional diffusion equations are better suited for modeling heterogeneous biological systems.

Purpose of the Study:

To develop and investigate fractional diffusion models for avascular tumor growth.
To compare fixed-order and variable-order fractional models with memory formalism.
To understand tumor-microenvironment interactions before angiogenesis.

Main Methods:

Developed a spherical model initially based on simple diffusion.
Upgraded the model using fractional diffusion equations (fixed and variable order).
Incorporated memory formalism into anomalous diffusion models.

Main Results:

Anomalous diffusion models provide a closer description to clinical facts than simple models.
All models offer macroscopic insights into the tumor microenvironment.
Anomalous diffusion models showed moderate sensitivity to parameter changes.

Conclusions:

Fractional diffusion models, particularly anomalous ones, are valuable for studying avascular tumor growth.
These models enhance understanding of tumor-microenvironment interactions and physical changes.
The findings support improved diagnostics, therapies, and prognostics for tumors.