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Mathematical Model of Clonal Evolution Proposes a Personalised Multi-Modal Therapy for High-Risk Neuroblastoma

Italia, Matteo; Wertheim, Kenneth Y.; Taschner-Mandl, Sabine; Walker, Dawn; Dercole, Fabio

Authors

Matteo Italia

Sabine Taschner-Mandl

Dawn Walker

Fabio Dercole



Abstract

Neuroblastoma is the most common extra-cranial solid tumour in children. Despite multi-modal therapy, over half of the high-risk patients will succumb. One contributing factor is the one-size-fits-all nature of multi-modal therapy. For example, during the first step (induction chemotherapy), the standard regimen (rapid COJEC) administers fixed doses of chemotherapeutic agents in eight two-week cycles. Perhaps because of differences in resistance, this standard regimen results in highly heterogeneous outcomes in different tumours. In this study, we formulated a mathematical model comprising ordinary differential equations. The equations describe the clonal evolution within a neuroblastoma tumour being treated with vincristine and cyclophosphamide, which are used in the rapid COJEC regimen, including genetically conferred and phenotypic drug resistance. The equations also describe the agents’ pharmacokinetics. We devised an optimisation algorithm to find the best chemotherapy schedules for tumours with different pre-treatment clonal compositions. The optimised chemotherapy schedules exploit the cytotoxic difference between the two drugs and intra-tumoural clonal competition to shrink the tumours as much as possible during induction chemotherapy and before surgical removal. They indicate that induction chemotherapy can be improved by finding and using personalised schedules. More broadly, we propose that the overall multi-modal therapy can be enhanced by employing targeted therapies against the mutations and oncogenic pathways enriched and activated by the chemotherapeutic agents. To translate the proposed personalised multi-modal therapy into clinical use, patient-specific model calibration and treatment optimisation are necessary. This entails a decision support system informed by emerging medical technologies such as multi-region sequencing and liquid biopsies. The results and tools presented in this paper could be the foundation of this decision support system.

Citation

Italia, M., Wertheim, K. Y., Taschner-Mandl, S., Walker, D., & Dercole, F. (2023). Mathematical Model of Clonal Evolution Proposes a Personalised Multi-Modal Therapy for High-Risk Neuroblastoma. Cancers, 15(7), Article 1986. https://doi.org/10.3390/cancers15071986

Journal Article Type Article
Acceptance Date Mar 24, 2023
Online Publication Date Mar 26, 2023
Publication Date Apr 1, 2023
Deposit Date Mar 30, 2023
Publicly Available Date Mar 31, 2023
Journal Cancers
Publisher MDPI
Peer Reviewed Peer Reviewed
Volume 15
Issue 7
Article Number 1986
DOI https://doi.org/10.3390/cancers15071986
Keywords Clonal evolution; Drug delivery; Evolutionary computation; Mathematical model; Neuroblastoma; Ordinary differential equations; Drug resistance; Population dynamics; Precision medicine
Public URL https://hull-repository.worktribe.com/output/4252020

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