Systems chronotherapeutics
Chronotherapeutics aim at treating illnesses according to the endogenous biologic rhythms,
which moderate xenobiotic metabolism and cellular drug response. The molecular clocks …
which moderate xenobiotic metabolism and cellular drug response. The molecular clocks …
Improving cancer treatments via dynamical biophysical models
Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …
Cell population heterogeneity and evolution towards drug resistance in cancer: biological and mathematical assessment, theoretical treatment optimisation
Background Drug-induced drug resistance in cancer has been attributed to diverse
biological mechanisms at the individual cell or cell population scale, relying on …
biological mechanisms at the individual cell or cell population scale, relying on …
[HTML][HTML] Tracking the evolution of cancer cell populations through the mathematical lens of phenotype-structured equations
Background A thorough understanding of the ecological and evolutionary mechanisms that
drive the phenotypic evolution of neoplastic cells is a timely and key challenge for the cancer …
drive the phenotypic evolution of neoplastic cells is a timely and key challenge for the cancer …
A population balance model for bioreactors combining interdivision time distributions and micromixing concepts
J Morchain, M Pigou, N Lebaz - Biochemical engineering journal, 2017 - Elsevier
The present paper focuses on the development of a population balance model (PBM)
accounting for microbial population dynamics in a fluctuating environment. Heterogeneity …
accounting for microbial population dynamics in a fluctuating environment. Heterogeneity …
Stabilization of age‐structured chemostat hyperbolic PDE with actuator dynamics
For population systems modeled by age‐structured hyperbolic partial differential equations
(PDEs), we redesign the existing feedback laws, designed under the assumption that the …
(PDEs), we redesign the existing feedback laws, designed under the assumption that the …
[HTML][HTML] Stability analysis of a multiscale model of cell cycle dynamics coupled with quiescent and proliferating cell populations
I Batool, N Bajcinca - PloS one, 2023 - journals.plos.org
In this paper, we perform a mathematical analysis of our proposed nonlinear, multiscale
mathematical model of physiologically structured quiescent and proliferating cell …
mathematical model of physiologically structured quiescent and proliferating cell …
[HTML][HTML] Stability analysis of an age-structured model of cervical cancer cells and HPV dynamics
VV Akimenko, F Adi-Kusumo - Mathematical Biosciences and …, 2021 - aimspress.com
Stability analysis of an autonomous epidemic model of an age-structured sub-populations of
susceptible, infected, precancerous and cancer cells and unstructured sub-population of …
susceptible, infected, precancerous and cancer cells and unstructured sub-population of …
Steady states and outbreaks of two-phase nonlinear age-structured model of population dynamics with discrete time delay
V Akimenko, R Anguelov - Journal of biological dynamics, 2017 - Taylor & Francis
In this paper we study the nonlinear age-structured model of a polycyclic two-phase
population dynamics including delayed effect of population density growth on the mortality …
population dynamics including delayed effect of population density growth on the mortality …
[HTML][HTML] A comprehensive review of computational cell cycle models in guiding cancer treatment strategies
C Ma, E Gurkan-Cavusoglu - npj Systems Biology and Applications, 2024 - nature.com
This article reviews the current knowledge and recent advancements in computational
modeling of the cell cycle. It offers a comparative analysis of various modeling paradigms …
modeling of the cell cycle. It offers a comparative analysis of various modeling paradigms …