Gopinath Sadhu

A mathematical model of tumor growth driven by oxygen lactate exosome feedback

This paper develops a mathematical model to study how oxygen, lactate, and exosome feedback mechanisms influence tumor growth dynamics under different hypoxic conditions.

Impact of oxygen fluctuation and consumption on the dynamics of a reduced go-or-grow model for tumor cell invasion

This study shows that rapid oxygen fluctuations alter tumor growth dynamics in a go-or-grow model, with the full model outperforming a reduced version under these conditions.

A mathematical investigation of the interplay between vasculature and intratumoral cellular heterogeneity during tumor progression

This paper develops a mathematical model to study how tumor vasculature and cellular heterogeneity interact during progression, showing angiogenesis increases growth rate and hypoxic cells strongly influence phenotypic switching.

Traveling Wave Analysis of a Go-or-Grow Invasion Model with ECM-Regulated Phenotypic Switching

The paper analyzes a go-or-grow invasion model with ECM-regulated phenotypic switching, showing that the reduced model captures the dynamics and deriving the minimum traveling wave speed.

Time-dependent memory of hypoxia exposure influences tumor invasion dynamics

The paper shows hypoxic memory in cancer cells affects tumor invasion dynamics through time-dependent changes in cell state and spatial oxygen dynamics.

A phenotype-structured PDE framework for investigating the role of hypoxic memory on tumor invasion under cyclic hypoxia

This paper develops a PDE framework to model hypoxic memory's impact on tumor invasion under cyclic hypoxia, showing enhanced invasion without reduced tumor volume.