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Dynamic density functional theory of solid tumor growth: Preliminary models.

Arnaud Chauviere, Haralambos Hatzikirou, Ioannis G Kevrekidis

AIP Advances

|April 11, 2012

Summary

This study introduces a new biophysical framework, Dynamic Density Functional Theory (DDFT), to model complex cancer dynamics across scales. The approach offers a unified method for understanding tumor growth by integrating cell behaviors.

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Area of Science:

Biophysics
Mathematical Biology
Cancer Research

Background:

Cancer is a complex system with dynamics arising from nonlinear processes across spatio-temporal scales.
Existing mathematical models often address specific scales, lacking theoretical frameworks to bridge these gaps.
A unified, biophysically consistent approach is needed to describe tissue-level cancer dynamics.

Purpose of the Study:

To develop a novel theoretical framework for modeling living tissue dynamics, specifically cancer.
To extend Dynamic Density Functional Theory (DDFT) to incorporate cell density correlations, types, phenotypes, and birth/death processes.
To provide a biophysically consistent method for analyzing processes across multiple scales.

Main Methods:

Extension of Dynamic Density Functional Theory (DDFT) to living tissues.
Inclusion of cell density correlations, diverse cell types, and phenotypes.
Modeling of cell birth and death processes within the theoretical framework.

Main Results:

A new theoretical framework capable of describing tissue dynamics from a cellular perspective.
Demonstration of the framework's applicability to modeling tumor growth.
Provides a biophysically consistent approach to bridge different spatio-temporal scales in cancer.

Conclusions:

The extended DDFT framework offers a powerful tool for understanding complex cancer systems.
This approach enables a more comprehensive and unified description of tumor growth dynamics.
The methodology has the potential to advance multi-scale modeling in cancer research.