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. 2025 Oct 24;13(4):242. doi: 10.3390/medsci13040242
BC breast cancer
BCS breast conserving surgery
CBs clinical biomarkers
CE-MRI contrast-enhanced magnetic resonance imaging
CI confidence interval
DICOM digital imaging and communications in medicine
DW-MRI diffusion-weighted magnetic resonance imaging
EC epirubicin/cyclophosphamide
ESMO European society for medical oncology
HER2 human epidermal growth factor receptor 2
IV intravenously
MIP maximum intensity projection
MRI magnetic resonance imaging
NAC neoadjuvant chemotherapy
PARP poly ADP ribose polymerase
pCR pathological complete response
PD pharmacodynamics
PDE partial differential equation
PET/CT positron emission tomography/computed tomography
PK pharmacokinetics
ROI regions of interest
STL stereolithography
TNBC triple-negative breast cancer
TP true positive
VBs virtual biomarkers
18FDG 18F-fluorodeoxyglucose
Nomenclature
The following nomenclatures are used in this manuscript:
AD absolute volume difference, cm3
D diffusion coefficient, m2/s
f temporal administration pattern of therapy, or modulation function, 1/d
K carrying capacity of the biological matrix, dimensionless
md administered mass flow rate, determined on personalized basis, mol/m3 s
rc biological conversion rate, 1/s
R source term in Equations (2) and (3), 1/s
t time, d
V* computed lesion volume, cm3
V measured lesion volume, cm3
x coordinate vector, cm
Greek
∆t duration, d
∆V residual lesion volume to remove after NAC, cm3
ϵPD drug efficiency (effect of drug on body), 1/s
ϵPK drug clearance (effect of body on drug), 1/s
∂Ωe surface, m2
ϕc normalized cancer cell density or volume, dimensionless
ϕd normalized drug concentration, dimensionless
computational volume, cm3
Subscripts
0 nominal, ROI
c cancer
d drug
e interface with the environment
i initial, starting time
j drug counter
s surgical