Introduction to Mathematical Oncology presents biologically well-motivated and
mathematically tractable models that facilitate both a deep understanding of cancer biology …

Growth of biological tissues has been recently treated within the framework of Continuum
Mechanics, by adopting heterogeneous poroelastic models where the interaction between …

We present a nonlinear first-order hyperbolic partial differential equation model to describe
age-structured tumor cell populations with proliferating and quiescent phases at the …

Correlation Factors Analysis of Breast Cancer Tumor Volume Doubling Time Measured by
3D-Ultrasound - PMC Back to Top Skip to main content NIH NLM Logo Access keys NCBI …

In this paper, we perform a mathematical analysis of our proposed nonlinear, multiscale
mathematical model of physiologically structured quiescent and proliferating cell …

The Asian citrus psyllid (ACP) survival in the presence of contact insecticides may be
through physiological adaptations or by behaviorally avoiding. Curiously, although the first …

We study an avascular spherical solid tumour model with cell physiological age and
resource constraints in vivo. We divide the tumour cells into three components: proliferating …

Stem cells are required for tissue maintenance and homeostasis during an organism's
lifetime. Neural stem cells (NSCs) can be in an actively dividing state or in a quiescent state …

Cancer or tumour growth has been addressed from a variety of mathematical modelling
perspectives in the past. Examples are single variable growth models, reaction diffusion …

A nonlinear age-structured tumor population model, in which the tumor population is divided
into proliferating and quiescent cells is proposed and analyzed. The probability of mitosis in …