arXiv subjects

Tijana T. Ivancevic

Publications and source records attributed to Tijana T. Ivancevic.

22 records · Page 2Linked to original sources

arXiv2008

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

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

q-bio.CB↗

arXiv2008

A Theoretical Model of Chaotic Attractor in Tumor Growth and Metastasis

This paper proposes a novel chaotic reaction-diffusion model of cellular tumor growth and metastasis. The model is based on the multiscale diffusion cancer-invasion model (MDCM) and formulated by introducing strong nonlinear coupling into the MDCM. The new model exhibits temporal chaotic behavior (which resembles the classical Lorenz strange attractor) and yet retains all the characteristics of the MDCM diffusion model. It mathematically describes both the processes of carcinogenesis and metastasis, as well as the sensitive dependence of cancer evolution on initial conditions and parameters. On the basis of this chaotic tumor-growth model, a generic concept of carcinogenesis and metastasis is formulated. Keywords: reaction-diffusion tumor growth model, chaotic attractor, sensitive dependence on initial tumor characteristics

q-bio.CB↗

arXiv2008

Preterm Birth Analysis Using Nonlinear Methods (a preliminary study)

In this report we review modern nonlinearity methods that can be used in the preterm birth analysis. The nonlinear analysis of uterine contraction signals can provide information regarding physiological changes during the menstrual cycle and pregnancy. This information can be used both for the preterm birth prediction and the preterm labor control. Keywords: preterm birth, complex data analysis, nonlinear methods

q-bio.QM↗

arXiv2008

Nonlinear Quantum Neuro-Psycho-Dynamics with Topological Phase Transitions

We have proposed a novel model of general quantum, stochastic and chaotic psychodynamics. The model is based on the previously developed Life-Space Foam (LSF) framework to motivational and cognitive dynamics. The present model extends the LSF-approach by incorporating chaotic and topological non-equilibrium phase transitions. Such extended LSF-model is applied for rigorous description of multi-agent joint action. The present model is related to Haken-Kelso-Bunz model of self-organization in the human motor system (including: multi-stability, phase transitions and hysteresis effects, presenting a contrary view to the purely feedback driven neural systems), as well as the entropy-approach to adaptation in human goal-directed motor control. Keywords: Quantum probability, Life-Space Foam, noisy decision making, chaos, topological phase transitions, multi-agent joint action, goal-directed motor control

nlin.AO↗