A cell cycle automaton model for probing circadian patterns of anticancer drug delivery

Altinok, Atilla; Lévi, Françis; Goldbeter, Albert

doi:10.1016/j.addr.2006.09.022

Cited by 60 publications

(50 citation statements)

References 34 publications

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“…30,40 Furthermore, chronotherapy theoretically should be more toxic to tumor cells because of poor circadian rhythm and greater cell cycle variability in malignant tissues compared with healthy tissues. 49 Although it has been demonstrated that HAI with irinotecan or oxaliplatin is not complicated by cholangitis, [20][21][22][23][24][25][26][27][28][29] it can be anticipated in as many as 30% of patients who receive HAI floxuridine. [46][47][48] This HAI chronotherapy regimen is well tolerated with no chemical bile duct sclerosis, whereas chronotherapy is not expected to decrease bile excretion of 5-FU metabolites.…”

Section: Discussionmentioning

confidence: 99%

Rescue chemotherapy using multidrug chronomodulated hepatic arterial infusion for patients with heavily pretreated metastatic colorectal cancer

Bouchahda

Adam

Giacchetti

et al. 2009

Cancer

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Original carbohydrate‐based acrylamides bearing one azide group in C‐2 or C‐6 position namely, 2‐[(2‐deoxy‐2‐azido‐α‐D‐mannopyranosyloxy)ethanamido]‐ethyl acrylamide (II) and 2‐[(6‐deoxy‐6‐azido‐α‐D‐glucopyranosyloxy)ethanamido]‐ethyl acrylamide (III), and their azide‐free analogue, 2‐[(α‐D‐glucopyranosyloxy)ethanamido]‐ethyl acrylamide (I), have been designed. Whereas the reversible addition fragmentation chain transfer (RAFT) process ensured the preparation of well‐defined glycopolymers from I, the polymerization of monomers II and III proved to be challenging at temperatures compatible with a thermally initiated radical process, due to the presumed concomitant 1,3‐cycloaddition reactions between the azide and the acrylamide moieties. In contrast to III, for which no polymer could be obtained under any conditions, performing the RAFT polymerization of II at 30 °C clearly favored the radical polymerization and conferred a controlled character to the process, affording well‐defined azide‐functionalized glycopolymers and block copolymers. The presence of numerous azide moieties was finally exploited to introduce carbohydrates onto the glycopolymer backbone through copper catalyzed azide‐alkyne cycloaddition. © 2011 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2011

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Section: Discussionmentioning

confidence: 99%

Rescue chemotherapy using multidrug chronomodulated hepatic arterial infusion for patients with heavily pretreated metastatic colorectal cancer

Bouchahda

Adam

Giacchetti

et al. 2009

Cancer

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“…The cell cycle automaton model reveals the key roles of variability in circadian entrainment and cell cycle length upon therapeutic activity of different sinusoidal delivery or constant-rate infusion schedules. This theoretical study pinpoints the need for novel biological assessments in the individual patient and his or her tumor in order to take full advantage of cancer chronotherapeutics (Altinok et al 2007). A pharmacokinetic-pharmacodynamic model of chemotherapy with circadian periodic dimension investigates the effects of temporal drug-delivery dynamics on a population of tumor cells and its tolerance by a population of fast-renewing healthy cells.…”

Section: Implications For Cancer Chronotherapeuticsmentioning

confidence: 99%

Cross-talks between Circadian Timing System and Cell Division Cycle Determine Cancer Biology and Therapeutics

Lévi

Filipski²,

Iurisci³

et al. 2007

Cold Spring Harbor Symposia on Quantitative Biology

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“…However, when the distribution of cells between the various cell cycle phases becomes the predominant issue, biochemical details do not play such a major role, and the automaton model provides a useful, versatile tool for describing the dynamics of a population of proliferating cells. Thus, we previously used the cell cycle automaton model to study the response of a population of proliferating cells to the circadian administration of an anti-cancer drug that acts on a particular phase of the cell cycle [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

An automaton model for the cell cycle

et al. 2010

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We consider an automaton model that progresses spontaneously through the four successive phases of the cell cycle: G1, S (DNA replication), G2 and M (mitosis). Each phase is characterized by a mean duration t and a variability V. As soon as the prescribed duration of a given phase has passed, the transition to the next phase of the cell cycle occurs. The time at which the transition takes place varies in a random manner according to a distribution of durations of the cell cycle phases. Upon completion of the M phase, the cell divides into two cells, which immediately enter a new cycle in G1. The duration of each phase is reinitialized for the two newborn cells. At each time step in any phase of the cycle, the cell has a certain probability to be marked for exiting the cycle and dying at the nearest G1/S or G2/M transition. To allow for homeostasis, which corresponds to maintenance of the total cell number, we assume that cell death counterbalances cell replication at mitosis. In studying the dynamics of this automaton model, we examine the effect of factors such as the mean durations of the cell cycle phases and their variability, the type of distribution of the durations, the number of cells, the regulation of the cell population size and the independence of steady-state proportions of cells in each phase with respect to initial conditions. We apply the stochastic automaton model for the cell cycle to the progressive desynchronization of cell populations and to their entrainment by the circadian clock. A simple deterministic model leads to the same steady-state proportions of cells in the four phases of the cell cycle.

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A cell cycle automaton model for probing circadian patterns of anticancer drug delivery

Cited by 60 publications

References 34 publications

Rescue chemotherapy using multidrug chronomodulated hepatic arterial infusion for patients with heavily pretreated metastatic colorectal cancer

Rescue chemotherapy using multidrug chronomodulated hepatic arterial infusion for patients with heavily pretreated metastatic colorectal cancer

Cross-talks between Circadian Timing System and Cell Division Cycle Determine Cancer Biology and Therapeutics

An automaton model for the cell cycle

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