Mathematical Model of Colorectal Cancer with Monoclonal Antibody Treatments
L.G. dePillis, H. Savage, A. E. Radunskaya
Journal of Advances in Medicine and Medical Research · pp. 3101–3131 · Published 14 Mar 2014
10.9734/BJMMR/2014/8393Abstract
We present a new mathematical model of colorectal cancer growth and its response to monoclonalantibody (mAb) therapy. Although promising, most mAb drugs are still in trial phases, and the possible variations in the dosing schedules of those currently approved for use have not yet been thoroughly explored. To investigate the effectiveness of current mAb treatment schedules, and to test hypothetical treatment strategies, we have created a system of nonlinear ordinary differential equations (ODEs) to model colorectal cancer growth and treatment. The model includes tumor cells, elements of the host’s immune response, and treatments. Model treatments include the chemotherapy agent irinotecan and one of two monoclonal antibodies - cetuximab, which is FDAapproved for colorectal cancer, and panitumumab, which is still being evaluated in clinical trials. The model incorporates patient-specific parameters to account for individual variations in immune system strength and in medication efficacy against the tumor. We have simulated outcomes for groups of virtual patients on treatment protocols for which clinical trial data are available, using a range of biologically reasonable patient-specific parameter values. Our results closely match clinical trial results for these protocols. We also simulated experimental dosing schedules, and have found new schedules which, in our simulations, reduce tumor size more effectively than current treatment schedules. Additionally, we examined the system’s equilibria and sensitivity to parameter values. In the absence of treatment, tumor evolution is most affected by the intrinsic tumor growth rate and carrying capacity. When treatment is introduced, tumor growth is most affected by drugspecific PK/PD parameters.
Cited by 31
Arkadz Kirshtein, Shaya Akbarinejad, Wenrui Hao · Journal of Clinical Medicine · 2020
Kristen Abernathy, Zachary Abernathy, Kelsey Brown · Heliyon · 2017
Cristina Koprinski, Georgio Hawi, Peter S. Kim · Journal of Theoretical Biology · 2026
N. DARANDIS, M. NAZARI · Journal of Biological Systems · 2021
Sheema Sameen, Roberto Barbuti, Paolo Milazzo · Journal of Theoretical Biology · 2016
Hoda Mashayekhi, Mostafa Nazari, Fatemeh Jafarinejad · Computer Methods and Programs in Biomedicine · 2024
Regina Padmanabhan, Nader Meskin · Handbook of Cancer and Immunology · 2025
Hesham A. Elkaranshawy, Ahmed M. Makhlouf, Yasmine Abouelseoud · 2020 42nd Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC) · 2020
Regina Padmanabhan, Nader Meskin · Handbook of Cancer and Immunology · 2022
Anusmita Das, Kaushik Dehingia, Nabajit Ray · Mathematical Modelling and Control · 2023
Showing 20 of 31 known citations — external sources report more than can currently be individually listed.
Related research
- Colorectal Cancer Risk and Prevention Knowledge among Adults Attending Public Health Facilities in Obudu, Cross River State, Nigeria — shares topic coverage
- The Use of Complete Blood Count as Inflammatory Biomarkers in Patients with Colorectal Cancers in Enugu State University of Science and Technology Teaching Hospital, Parklane Enugu — shares topic coverage
- Demographic and Histopathological Spectrum of Gastrointestinal Cancers Excluding Hepatobiliary System: A 10-Year Review from Makurdi, North Central Nigeria — shares topic coverage
- Fecal and Salivary Microbial Gene Markers for the Non-invasive Detection of Colorectal Cancer Progression — shares topic coverage
- Can Noninvasive Tests Substitute Endoscopy for Diagnosis of Colonic Diseases? — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
31
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.