Systems chronotherapeutics

A Ballesta, PF Innominato, R Dallmann, DA Rand… - Pharmacological …, 2017 - ASPET
Chronotherapeutics aim at treating illnesses according to the endogenous biologic rhythms,
which moderate xenobiotic metabolism and cellular drug response. The molecular clocks …

Improving cancer treatments via dynamical biophysical models

M Kuznetsov, J Clairambault, V Volpert - Physics of life reviews, 2021 - Elsevier
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 …

Cell population heterogeneity and evolution towards drug resistance in cancer: biological and mathematical assessment, theoretical treatment optimisation

RH Chisholm, T Lorenzi, J Clairambault - Biochimica et Biophysica Acta …, 2016 - Elsevier
Background Drug-induced drug resistance in cancer has been attributed to diverse
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

T Lorenzi, RH Chisholm, J Clairambault - Biology direct, 2016 - Springer
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 …

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 …

Stabilization of age‐structured chemostat hyperbolic PDE with actuator dynamics

PE Haacker, I Karafyllis, M Krstić… - International Journal of …, 2024 - Wiley Online Library
For population systems modeled by age‐structured hyperbolic partial differential equations
(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 …

[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 …

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 …

[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 …