Optimisation of Cancer Drug Treatments Using Cell Population Dynamics (Q2820387)

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English	Optimisation of Cancer Drug Treatments Using Cell Population Dynamics	scientific article

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scholarly article

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Optimisation of Cancer Drug Treatments Using Cell Population Dynamics (English)

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Frédérique Billy

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Jean Clairambault

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Lecture Notes on Mathematical Modelling in the Life Sciences

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publication date

16 September 2016

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zbMATH Keywords

cell division cycle

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cancer

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checkpoints

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-1-4614-4178-6_10

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Optimizing Chemotherapy Scheduling Using Local Search Heuristics

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A Multiple Scale Model for Tumor Growth

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Comparison of Approaches to Modeling of Cell Population Dynamics

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A Survey of Cell Population Dynamics

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Mathematical and numerical analysis for a model of growing metastatic tumors

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Optimisation of time-scheduled regimen for anti-cancer drug infusion

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A mathematical model for analysis of the cell cycle in cell lines derived from human tumors

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Modelling the flow of cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison

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Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel

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A generalised age- and phase-structured model of human tumour cell populations both unperturbed and exposed to a range of cancer therapies

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Analysis of a molecular structured population model with possible polynomial growth for the cell division cycle

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An age-and-cyclin-structured cell population model for healthy and tumoral tissues

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A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy

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Synchronisation and control of proliferation in cycling cell population models with age structure

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Numerical optimization. Theoretical and practical aspects. Transl. from the French

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A viscoelastic model for avascular tumor growth

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Computational Modeling of Solid Tumor Growth: The Avascular Stage

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Growth of nonnecrotic tumors in the presence and absence of inhibitors

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Growth of necrotic tumors in the presence and absence of inhibitors

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Modelling Physiological and Pharmacological Control on Cell Proliferation to Optimise Cancer Treatments

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Comparison of Perron and Floquet Eigenvalues in Age Structured Cell Division Cycle Models

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Circadian rhythm and cell population growth

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Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies

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Analysis of a mathematical model of the effect of inhibitors on the growth of tumors

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Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999)

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A family of models of angiogenesis and anti-angiogenesis anti-cancer therapy

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On optimal delivery of combination therapy for tumors

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Numerical solution of an inverse problem in size-structured population dynamics

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Nonparametric Estimation of the Division Rate of a Size-Structured Population

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Optimal scheduling of radiotherapy and angiogenic inhibitors

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Optimal Control Applied to Cell-Cycle-Specific Cancer Chemotherapy

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Analysis of tumor as an inverse problem provides a novel theoretical framework for understanding tumor biology and therapy

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Models for the Growth of a Solid Tumor by Diffusion

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The inverse problem of linear age-structured population dynamics.

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A nonlinear structured population model of tumor growth with quiescence

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Towards a new evolutionary computation. Advances on estimation of distribution algorithms.

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Intracellular accumulation and mechanism of action of doxorubicin in a spatio-temporal tumor model

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A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy

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LONG-RANGE PREDICTABILITY IN MODELS OF CELL POPULATIONS SUBJECTED TO PHASE-SPECIFIC DRUGS: GROWTH-RATE APPROXIMATION USING PROPERTIES OF POSITIVE COMPACT OPERATORS

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An introduction to the mathematical theory of inverse problems

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A mathematical model of in vitro cancer cell growth and treatment with the antimitotic agent curacin \(A\)

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Chaos, fractals, and noise: Stochastic aspects of dynamics.

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Optimal controls for a model with pharmacokinetics maximizing bone marrow in cancer chemo\-therapy

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Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy

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Low-intensity combination chemotherapy maximizes host survival time for tumors containing drug-resistant cells

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Optimal control of tumor size used to maximize survival time when cells are resistant to chemotherapy

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A model for the growth of a solid tumor with non-uniform oxygen consumption

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Optimal control for a cancer chemotherapy problem with general growth and loss functions

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Some optimal control problems in cancer chemotherapy with a toxicity limit

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Mathematical biology. Vol. 1: An introduction.

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Mathematical biology. Vol. 2: Spatial models and biomedical applications.

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Numerical Optimization

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Modelling the response of spatially structured tumours to chemotherapy: drug kinetics

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A mathematical model of breast and ovarian cancer treated with Paclitaxel

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A mathematical model of cycle-specific chemotherapy

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A mechanistic mathematical model of temozolomide myelosuppression in children with high-grade gliomas

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On the inverse problem for a size-structured population model

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A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents

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Predicting drug pharmacokinetics and effect in vascularized tumors using computer simulation

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Introduction to Stochastic Search and Optimization

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Modelling the balance between quiescence and cell death in normal and tumour cell populations

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Identification of parametric models from experimental data. Transl. from an upd. French version by the authors, with the help of John Norton

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Resonance phenomena in cell population chemotherapy models

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Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method

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Identifiers

zbMATH Open document ID

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10.1007/978-1-4614-4178-6_10

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2820387

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