<p>This work addresses sickle cell
disease (SCD), a hereditary disorder caused by a single gene mutation in the
beta-globin gene that produces abnormal hemoglobin and makes red blood cells
sickle-shaped. Currently, SCD affects approximately 100,000 Americans and
millions of people worldwide. Hydroxyurea (HU) is the most widely used
disease-modifying drug for SCD, requiring daily oral doses for individuals with
SCD. The main challenges associated with HU treatment are substantial interindividual
variability in pharmacokinetic (PK) and pharmacodynamic (PD) profiles,
cytotoxicity, and non-adherence.</p>
<p>HU gets cleared from the body
within 24 hours, but the drug-related effects manifest on a timescale of days
and take months to stabilize. Because of the short lifespan of HU inside the
body, existing models have only captured HU trajectory inside the plasma over
24 hours; the relationship between daily drug dosage and the long-term effects
of HU was not taken into account. In this work, the HU biomarkers trajectory on
a timescale ranging approximately from 1-9 years was modeled for pediatric participants
with SCD. In addition, the effect of skipping drug intake on the biomarkers
trajectory was investigated to study how different patterns of non-adherence
can result in different physiological profiles.</p>
<p>A PK model that captures the
temporal changes in the HU concentration in the plasma was developed. The model
performance was satisfactory for the clinical PK parameters calculated. The PK
model was simulated every day with the given dose as input. The average drug
concentration was computed for each day and plugged into the PD models, where
drug efficacy alongside drug side effects was studied. For estimating efficacy,
the effect of HU on biomarkers - fetal hemoglobin (HbF) and mean cell volume
(MCV) was modeled. For HbF, the HbF activation by HU was modeled through an
intermediate that directly activates the HbF. For MCV, the erythropoiesis
process was modeled to examine the effects of HU on the formation of red blood
cells (RBC) and its manifestation in the MCV.
The HbF and MCV model performed well for both adherent as well as
non-adherent participants, subject to the condition that the dosing profile
contains the non-adherent information. Further, the effect of HU on white blood
cells (WBC) is a manifestation of its effect on the early precursor cells.
Therefore, for capturing myelosuppression, a model for the leukopoiesis process
was implemented, which describes the formation of WBC in the blood circulation
and how HU affects cells in different stages. For participants showing myelosuppression,
the model was able to mimic their response. </p>
<p>It was observed that for many participants,
the HbF and MCV indicated non-adherence; however, the dosing data did not
contain the non-adherence information. The non-adherence in the model was
incorporated using a probabilistic algorithm which led to improved model
fits. In addition, to see how different
forms of non-adherence affect HbF and MCV profiles, non-adherence was imposed
in the model. Missing a dose once in a few days over an extended period of time
was less harmful when compared to missing a dose continuously for the
equivalent number of days. In summary, mathematical models were developed to
simulate HU response in participants with SCD and quantify non-adherence, which
can eventually help clinicians differentiate treatment inefficacy from
non-adherence.</p>
<p>Although HU has been beneficial
in improving the life expectancy of individuals with SCD and reducing sickle
cell-related complications, there are challenges associated with the management
of the drug. The modeling approach presented in this thesis is a key step
towards understanding the long-term effects of HU on the patients’ physiology
within a shorter timeframe as compared to the clinical studies that can require
years of monitoring. The models developed here can be helpful in not only
predicting patients’ PK-PD trajectory but also in understanding why some
patients respond well while others do not and how the treatment benefit can be
maximized for poor responders.</p>
<p> </p>