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Margarit DH, González NS, Romanelli LM, Fendrik AJ, Scagliotti AF, Reale MV. An integrative model of cancer cell differentiation with immunotherapy . Phys Biol 2021; 18. [PMID: 34633296 DOI: 10.1088/1478-3975/ac2e72] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/24/2021] [Accepted: 10/11/2021] [Indexed: 11/11/2022]
Abstract
In order to improve cancer treatments, cancer cell differentiation and immunotherapy are the subjects of several studies in different branches of interdisciplinary sciences. In this work, we develop a new population model that integrates other complementary ones, thus emphasizing the relationship between cancer cells at different differentiation stages and the main immune system cells. For this new system, specific ranges were found where transdifferentiation of differentiated cancer cells can occur. In addition, a specific therapy against cancer stem cells was analysed by simulating cytotoxic cell vaccines. In reference to the latter, the different combinations of parameters that optimize it were studied.
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Affiliation(s)
- David H Margarit
- Instituto de Ciencias, Universidad Nacional de General Sarmiento (UNGS), J M Gutiérrez 1150, Los Polvorines (B1613), Buenos Aires, Argentina.,Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina
| | - Nadia S González
- Instituto de Ciencias, Universidad Nacional de General Sarmiento (UNGS), J M Gutiérrez 1150, Los Polvorines (B1613), Buenos Aires, Argentina
| | - Lilia M Romanelli
- Instituto de Ciencias, Universidad Nacional de General Sarmiento (UNGS), J M Gutiérrez 1150, Los Polvorines (B1613), Buenos Aires, Argentina.,Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina
| | - Alejandro J Fendrik
- Instituto de Ciencias, Universidad Nacional de General Sarmiento (UNGS), J M Gutiérrez 1150, Los Polvorines (B1613), Buenos Aires, Argentina.,Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina
| | - Ariel F Scagliotti
- Instituto de Ciencias, Universidad Nacional de General Sarmiento (UNGS), J M Gutiérrez 1150, Los Polvorines (B1613), Buenos Aires, Argentina.,Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina
| | - Marcela V Reale
- Instituto de Ciencias, Universidad Nacional de General Sarmiento (UNGS), J M Gutiérrez 1150, Los Polvorines (B1613), Buenos Aires, Argentina.,Departamento de Ingeniería e Investigaciones Tecnológicas, Universidad Nacional de La Matanza (UNLaM), Florencio Varela 1903, San Justo (B1754), Buenos Aires, Argentina
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Sardanyés J, Alarcón T. Noise-induced bistability in the fate of cancer phenotypic quasispecies: a bit-strings approach. Sci Rep 2018; 8:1027. [PMID: 29348614 PMCID: PMC5773630 DOI: 10.1038/s41598-018-19552-2] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/03/2017] [Accepted: 01/03/2018] [Indexed: 02/07/2023] Open
Abstract
Tumor cell populations are highly heterogeneous. Such heterogeneity, both at genotypic and phenotypic levels, is a key feature during tumorigenesis. How to investigate the impact of this heterogeneity in the dynamics of tumors cells becomes an important issue. Here we explore a stochastic model describing the competition dynamics between a pool of heterogeneous cancer cells with distinct phenotypes and healthy cells. This model is used to explore the role of demographic fluctuations on the transitions involving tumor clearance. Our results show that for large population sizes, when demographic fluctuations are negligible, there exists a sharp transition responsible for tumor cells extinction at increasing tumor cells' mutation rates. This result is consistent with a mean field model developed for the same system. The mean field model reveals only monostability scenarios, in which either the dominance of the tumor cells or the dominance of the healthy cells is found. Interestingly, the stochastic model shows that for small population sizes the monostability behavior disappears, involving the presence of noise-induced bistability. The impact of the initial populations of cells in the fate of the cell populations is investigated, as well as the transient times towards the healthy and the cancer states.
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Affiliation(s)
- Josep Sardanyés
- Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C, 08193 Bellaterra, Barcelona, Spain.
- Barcelona Graduate School of Mathematics (BGSMath). Campus de Bellaterra, Edifici C, 08193 Bellaterra, Barcelona, Spain.
| | - Tomás Alarcón
- Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C, 08193 Bellaterra, Barcelona, Spain.
- Barcelona Graduate School of Mathematics (BGSMath). Campus de Bellaterra, Edifici C, 08193 Bellaterra, Barcelona, Spain.
- ICREA, Pg. Lluis Companys 23, 08010, Barcelona, Spain.
- Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain.
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Godina-Nava JJ, Torres-Vega G, López-Riquelme GO, López-Sandoval E, Samana AR, García Velasco F, Hernández-Aguilar C, Domínguez-Pacheco A. Quantum mechanical model for the anticarcinogenic effect of extremely-low-frequency electromagnetic fields on early chemical hepatocarcinogenesis. Phys Rev E 2017; 95:022416. [PMID: 28297882 DOI: 10.1103/physreve.95.022416] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/17/2016] [Indexed: 11/07/2022]
Abstract
Using the conventional Haberkorn approach, it is evaluated the recombination of the radical pair (RP) singlet spin state to study theoretically the cytoprotective effect of an extremely-low-frequency electromagnetic field (ELF-EMF) on early stages of hepatic cancer chemically induced in rats. The proposal is that ELF-EMF modulates the interconversion rate of singlet and triplet spin states of the RP populations modifying the products from the metabolization of carcinogens. Previously, we found that the daily treatment with ELF-EMF 120 Hz inhibited the number and area of preneoplastic lesions in chemical carcinogenesis. The singlet spin population is evaluated diagonalizing the spin density matrix through the Lanczos method in a radical pair mechanism (RPM). Using four values of the interchange energy, we have studied the variations over the singlet population. The low magnetic field effect as a test of the influence over the enzymatic chemical reaction is evaluated calculating the quantum yield. Through a bootstrap technique the range is found for the singlet decay rate for the process. Applying the quantum measurements concept, we addressed the impact toward hepatic cells. The result contributes to improving our understanding of the chemical carcinogenesis process affected by charged particles that damage the DNA.
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Affiliation(s)
| | - Gabino Torres-Vega
- Departamento de Física CINVESTAV-IPN, Ap. Postal 14-740, CdMex, C.P. 07000, Mexico
| | | | - Eduardo López-Sandoval
- Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, Campus Soane Nazaré de Andrade, Rodovia Jorge Amado, Km 16, Bairro Salobrinho, 45662-900 Ilhéus, BA, Brazil
| | - Arturo Rodolfo Samana
- Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, Campus Soane Nazaré de Andrade, Rodovia Jorge Amado, Km 16, Bairro Salobrinho, 45662-900 Ilhéus, BA, Brazil
| | - Fermín García Velasco
- Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, Campus Soane Nazaré de Andrade, Rodovia Jorge Amado, Km 16, Bairro Salobrinho, 45662-900 Ilhéus, BA, Brazil
| | - Claudia Hernández-Aguilar
- National Polytechnic Institute, Sepi-ESIME, Zacatenco, Professional Unit Adolfo López Mateos, Col. Lindavista, Cd Mex, C.P. 07738, Mexico
| | - Arturo Domínguez-Pacheco
- National Polytechnic Institute, Sepi-ESIME, Zacatenco, Professional Unit Adolfo López Mateos, Col. Lindavista, Cd Mex, C.P. 07738, Mexico
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Chichigina OA, Dubkov AA, Valenti D, Spagnolo B. Stability in a system subject to noise with regulated periodicity. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:021134. [PMID: 21928976 DOI: 10.1103/physreve.84.021134] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/21/2011] [Indexed: 05/31/2023]
Abstract
The stability of a simple dynamical system subject to multiplicative one-side pulse noise with hidden periodicity is investigated both analytically and numerically. The stability analysis is based on the exact result for the characteristic functional of the renewal pulse process. The influence of the memory effects on the stability condition is analyzed for two cases: (i) the dead-time-distorted poissonian process, and (ii) the renewal process with Pareto distribution. We show that, for fixed noise intensity, the system can be stable when the noise is characterized by high periodicity and unstable at low periodicity.
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Affiliation(s)
- Olga A Chichigina
- Physics Department, Lomonosov Moscow State University, 119992 Moscow, Russia.
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