Table 1 Baseline parameter values used in Eqs. (1)–(4)

From: Delaying cancer progression by integrating toxicity constraints in a model of adaptive therapy

Parameter

Description

Value

Dimensions

\({{\boldsymbol{\alpha }}}_{{\boldsymbol{S}}}\)

Growth rate of sensitive cancer cells

1

per day

\({{\boldsymbol{\alpha }}}_{{\boldsymbol{R}}}\)

Growth rate of resistant cancer cells

\(\epsilon {\alpha }_{S}\)

per day

\({\boldsymbol{\epsilon }}\)

Dimensionless constant between 0 and 1

0.4

dimensionless

\({\boldsymbol{K}}\)

Shared carrying capacity

100

dimensionless

\({\boldsymbol{\delta }}\)

Rate of drug-induced cancer cell death

1

per day

\({\boldsymbol{\beta }}\)

Competition parameter between sensitive and resistant cancer

2.4

dimensionless

\({\boldsymbol{\lambda }}\)

Drug clearance rate

0.693

per day

\({\boldsymbol{\mu }}\)

Rate of toxicity accumulation

1

per day

\({\boldsymbol{\gamma }}\)

Toxicity recovery rate

0.4

per day

Rxoff

Efficacy threshold triggers therapy pause if total tumor size falls below this value

40% of initial tumor size

dimensionless

Rxon

Efficacy threshold triggers therapy restart if total tumor size surpasses this value

Initial tumor size

dimensionless

Toxoff

Toxicity threshold triggers therapy pause if toxicity surpasses this value

2

dimensionless

Toxon

Toxicity threshold triggers therapy restart if toxicity falls below this value

1

dimensionless

Treatment Failure

Tumor size defining treatment failure and disease progression

75

dimensionless