<p>Subfigure (A) shows the dosing schedule specified by the growth rate of sensitive cancer cells as a function of time. The dashed line represents a dosing schedule in which the drug is administered at the maximum dose tolerated without treatment breaks. The solid line represents a schedule in which the drug is administered in pulses followed by drug holidays. Subfigures (B) and (C) show sample paths for the sensitive cell population during pulsed and continuous therapy, respectively. During treatment pulses as well as during continuous therapy, the sensitive cancer cell population declines while it expands during treatment breaks. Parameters are <i>M</i> = 10000, <i>r</i><sub>1</sub> = 1.75, <i>d</i><sub>1</sub> = 1.0, <i>c</i><sub>1</sub...
Quantitative characterization of evolving tumor resistance under targeted treatment could help ident...
<p>For each class, this table shows the values of <i>n</i> for which the means of sensitive, resista...
<p>(A–C) Numerical solution of the model equations showing the time evolution of healthy (blue line)...
<p>The figure shows the dynamics of differentiated cancer cells in response to a treatment strategy ...
<p>(A) Various tumor cell populations as a function of time in the case of free tumor growth. A homo...
<p>(A), (B) and (C) are examples for sine wave functional forms of birth, death and mutation rates. ...
The central goal of this investigation is to describe the dynamic reaction of a multicellular tumour...
This dissertation presents a collection of mathematical models for cellular response to the most com...
<p>The figure shows the abundance of differentiated cancer cells, <i>y<sub>2</sub></i>, over time si...
<p>Subfigure (A) shows an example toxicity constraint in the form of a function defining the maximum...
<p>(A) We show the probability of resistance during pulsed therapy as a function of the growth rate ...
<p>(A) Expected number of resistant cancer cells as a function of time during continuous therapy. Bl...
<p>(A), (B), and (C) are the concentration profiles of at times weeks (short time), weeks (time a...
<p>The figure shows the time until the disease burden increases despite continuous therapy versus th...
<div><p>The antiproliferative response to anticancer treatment is the result of concurrent responses...
Quantitative characterization of evolving tumor resistance under targeted treatment could help ident...
<p>For each class, this table shows the values of <i>n</i> for which the means of sensitive, resista...
<p>(A–C) Numerical solution of the model equations showing the time evolution of healthy (blue line)...
<p>The figure shows the dynamics of differentiated cancer cells in response to a treatment strategy ...
<p>(A) Various tumor cell populations as a function of time in the case of free tumor growth. A homo...
<p>(A), (B) and (C) are examples for sine wave functional forms of birth, death and mutation rates. ...
The central goal of this investigation is to describe the dynamic reaction of a multicellular tumour...
This dissertation presents a collection of mathematical models for cellular response to the most com...
<p>The figure shows the abundance of differentiated cancer cells, <i>y<sub>2</sub></i>, over time si...
<p>Subfigure (A) shows an example toxicity constraint in the form of a function defining the maximum...
<p>(A) We show the probability of resistance during pulsed therapy as a function of the growth rate ...
<p>(A) Expected number of resistant cancer cells as a function of time during continuous therapy. Bl...
<p>(A), (B), and (C) are the concentration profiles of at times weeks (short time), weeks (time a...
<p>The figure shows the time until the disease burden increases despite continuous therapy versus th...
<div><p>The antiproliferative response to anticancer treatment is the result of concurrent responses...
Quantitative characterization of evolving tumor resistance under targeted treatment could help ident...
<p>For each class, this table shows the values of <i>n</i> for which the means of sensitive, resista...
<p>(A–C) Numerical solution of the model equations showing the time evolution of healthy (blue line)...