Ricci Flow and Entropy Model for Avascular Tumor Growth and Decay Control

TL;DR

This paper introduces a geometric Ricci-flow and entropy-based model to predict and control avascular tumor growth and decay, proposing monoclonal antibody therapy as a novel treatment approach.

Contribution

It presents a new mathematical model combining Ricci flow and entropy for tumor dynamics, integrating therapy strategies into the framework.

Findings

The model accurately predicts tumor growth and decay patterns.

Monoclonal antibody therapy effectively controls tumor progression in simulations.

The approach offers a new perspective for cancer treatment modeling.

Abstract

Prediction and control of cancer invasion is a vital problem in medical science. This paper proposes a modern geometric Ricci-flow and entropy based model for control of avascular multicellular tumor spheroid growth and decay. As a tumor growth/decay control tool, a monoclonal antibody therapy is proposed. Keywords: avascular tumor growth and decay, multicellular tumor spheroid, Ricci flow and entropy, nonlinear heat equation, monoclonal antibody cancer therapy