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Juan Chimal-Eguia
Centro de Investigación en Computación del Instituto Politécnico Nacional (IPN), Av. Miguel Othon de Mendizabal s/n. Col. La Escalera, Ciudad de México 07738, CP, Mexico

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Journal article
Published: 11 June 2021 in Mathematics
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This work presents a mathematical model to investigate the current outbreak of the coronavirus disease 2019 (COVID-19) worldwide. The model presents the infection dynamics and emphasizes the role of the immune system: both the humoral response as well as the adaptive immune response. We built a mathematical model of delay differential equations describing a simplified view of the mechanism between the COVID-19 virus infection and the immune system. We conduct an analysis of the model exploring different scenarios, and our numerical results indicate that some theoretical immunotherapies are successful in eradicating the COVID-19 virus.

ACS Style

Juan Chimal-Eguia. Mathematical Model of Antiviral Immune Response against the COVID-19 Virus. Mathematics 2021, 9, 1356 .

AMA Style

Juan Chimal-Eguia. Mathematical Model of Antiviral Immune Response against the COVID-19 Virus. Mathematics. 2021; 9 (12):1356.

Chicago/Turabian Style

Juan Chimal-Eguia. 2021. "Mathematical Model of Antiviral Immune Response against the COVID-19 Virus." Mathematics 9, no. 12: 1356.

Journal article
Published: 02 April 2021 in Applied Sciences
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Nowadays, immunotherapy has become an important alternative to fight cancer. One way in which biologists and medics use immunotherapy is by injecting antigen-incubated Dendritic Cells (DCs) into mice to stimulate an immune response. The DCs optimal quantities and infusion times for a successful cancer eradication are often unknown to the therapists; usually, these quantities are obtained by testing various protocols. The article shows a model of five differential equations which represents some interactions between some cells of the immune system and tumor cells which is used to test different infusion protocols of Dendritic Cells. This study aims to find operation ranges to DCs quantities and injection times for which the therapy reduces the tumor significantly. To that end, an exhaustive search of operative protocols is performed using simulations of a mathematical model. Furthermore, nonlinear analysis of the model reveals that without the DC therapy tumor cells cannot stay under non-lethal bounds. Finally, we show that a pulsed periodic therapy can prevent tumor relapsing when the doses and period times lie within a certain range.

ACS Style

Juan Chimal-Eguia; Erandi Castillo-Montiel; Julio Rangel-Reyes; Ricardo Paez-Hernández. Modeling Dendritic Cell Pulsed Immunotherapy for Mice with Melanoma—Protocols for Success and Recurrence. Applied Sciences 2021, 11, 3199 .

AMA Style

Juan Chimal-Eguia, Erandi Castillo-Montiel, Julio Rangel-Reyes, Ricardo Paez-Hernández. Modeling Dendritic Cell Pulsed Immunotherapy for Mice with Melanoma—Protocols for Success and Recurrence. Applied Sciences. 2021; 11 (7):3199.

Chicago/Turabian Style

Juan Chimal-Eguia; Erandi Castillo-Montiel; Julio Rangel-Reyes; Ricardo Paez-Hernández. 2021. "Modeling Dendritic Cell Pulsed Immunotherapy for Mice with Melanoma—Protocols for Success and Recurrence." Applied Sciences 11, no. 7: 3199.

Articulos
Published: 01 April 2021 in Información tecnológica
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El principal objetivo del presente estudio es examinar el ciclo Zilch desde el punto de vista de la termodinámica de tiempos finitos. Se propone una modificación del ciclo original, incluyendo explícitamente la diferencia entre temperaturas de trabajo y temperaturas de las fuentes de calor. Se construyen las expresiones de potencia de salida y eficiencia del ciclo con ciertas variables neutras, definidas como razones entre temperaturas de trabajo y de las fuentes. Se establecen restricciones para simplificar las expresiones obtenidas de potencia y eficiencia, y se imponen restricciones apropiadas para hallar sus regiones de existencia física. Los resultados muestran la viabilidad de los procedimientos usados, y la posibilidad que el ciclo estudiado sirva como modelo teórico para representar una planta con regeneración de calor. Se concluye que es posible describir el comportamiento de una máquina o planta de poder a través de la descripción del comportamiento de la potencia y la eficiencia.

ACS Style

Delfino Ladino-Luna; Juan Carlos Chimal-Eguía; Ricardo T. Páez-Hernández. El ciclo Zilch en el contexto de la termodinámica de tiempos finitos: eficiencia y potencia de salida. Información tecnológica 2021, 32, 3 -10.

AMA Style

Delfino Ladino-Luna, Juan Carlos Chimal-Eguía, Ricardo T. Páez-Hernández. El ciclo Zilch en el contexto de la termodinámica de tiempos finitos: eficiencia y potencia de salida. Información tecnológica. 2021; 32 (2):3-10.

Chicago/Turabian Style

Delfino Ladino-Luna; Juan Carlos Chimal-Eguía; Ricardo T. Páez-Hernández. 2021. "El ciclo Zilch en el contexto de la termodinámica de tiempos finitos: eficiencia y potencia de salida." Información tecnológica 32, no. 2: 3-10.

Journal article
Published: 23 January 2021 in Physica A: Statistical Mechanics and its Applications
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In this paper we present a Brownian Carnot cycle, which has already been studied by Schmield et al. (2007) as well as by Izumida and Okuda (2010); but now considering two different working regimes, namely the Maximum Ecological Function (MEC) and the Maximum Efficient Power (MEP). For the MEC and MEP working regimes, the thermodynamic properties of the cycle are obtained, in particular, it is showed that the maximum efficiency now depends on two parameters α and β, instead of only one parameter obtained previously by Schmiled et al. in the maximum power regime. It is worthwhile to notice that for characteristic values of α and β the original results obtained by Schmield are recovered. From the previous observations, the authors consider that the results obtained represent a more general case that includes other working regimes.

ACS Style

J.C. Chimal-Eguia; R.T. Paez-Hernández; J.C. Pacheco-Paez. Comparative performance analysis of a Brownian Carnot cycle from the perspective of a stochastic model against the Linear Irreversible Thermodynamics theory. Physica A: Statistical Mechanics and its Applications 2021, 570, 125743 .

AMA Style

J.C. Chimal-Eguia, R.T. Paez-Hernández, J.C. Pacheco-Paez. Comparative performance analysis of a Brownian Carnot cycle from the perspective of a stochastic model against the Linear Irreversible Thermodynamics theory. Physica A: Statistical Mechanics and its Applications. 2021; 570 ():125743.

Chicago/Turabian Style

J.C. Chimal-Eguia; R.T. Paez-Hernández; J.C. Pacheco-Paez. 2021. "Comparative performance analysis of a Brownian Carnot cycle from the perspective of a stochastic model against the Linear Irreversible Thermodynamics theory." Physica A: Statistical Mechanics and its Applications 570, no. : 125743.

Journal article
Published: 26 November 2020 in Mathematics
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The infusion times and drug quantities are two primary variables to optimize when designing a therapeutic schedule. In this work, we test and analyze several extensions to the gradient descent equations in an optimal control algorithm conceived for therapy scheduling optimization. The goal is to provide insights into the best strategies to follow in terms of convergence speed when implementing our method in models for dendritic cell immunotherapy. The method gives a pulsed-like control that models a series of bolus injections and aims to minimize a cost a function, which minimizes tumor size and to keep the tumor under a threshold. Additionally, we introduce a stochastic iteration step in the algorithm, which serves to reduce the number of gradient computations, similar to a stochastic gradient descent scheme in machine learning. Finally, we employ the algorithm to two therapy schedule optimization problems in dendritic cell immunotherapy and contrast our method’s stochastic and non-stochastic optimizations.

ACS Style

Juan C. Chimal-Eguia; Julio C. Rangel-Reyes; Ricardo T. Paez-Hernandez. Improving Convergence in Therapy Scheduling Optimization: A Simulation Study. Mathematics 2020, 8, 2114 .

AMA Style

Juan C. Chimal-Eguia, Julio C. Rangel-Reyes, Ricardo T. Paez-Hernandez. Improving Convergence in Therapy Scheduling Optimization: A Simulation Study. Mathematics. 2020; 8 (12):2114.

Chicago/Turabian Style

Juan C. Chimal-Eguia; Julio C. Rangel-Reyes; Ricardo T. Paez-Hernandez. 2020. "Improving Convergence in Therapy Scheduling Optimization: A Simulation Study." Mathematics 8, no. 12: 2114.

Journal article
Published: 28 October 2020 in Applied Sciences
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When Internet of Things (IoT) big data analytics (BDA) require to transfer data streams among software defined network (SDN)-based distributed data centers, the data flow forwarding in the communication network is typically done by an SDN controller using a traditional shortest path algorithm or just considering bandwidth requirements by the applications. In BDA, this scheme could affect their performance resulting in a longer job completion time because additional metrics were not considered, such as end-to-end delay, jitter, and packet loss rate in the data transfer path. These metrics are quality of service (QoS) parameters in the communication network. This research proposes a solution called QoSComm, an SDN strategy to allocate QoS-based data flows for BDA running across distributed data centers to minimize their job completion time. QoSComm operates in two phases: (i) based on the current communication network conditions, it calculates the feasible paths for each data center using a multi-objective optimization method; (ii) it distributes the resultant paths among data centers configuring their openflow Switches (OFS) dynamically. Simulation results show that QoSComm can improve BDA job completion time by an average of 18%.

ACS Style

Jose E. Lozano-Rizk; Juan I. Nieto-Hipolito; Raul Rivera-Rodriguez; Maria A. Cosio-Leon; Mabel Vazquez-Briseño; Juan C. Chimal-Eguia. QoSComm: A Data Flow Allocation Strategy among SDN-Based Data Centers for IoT Big Data Analytics. Applied Sciences 2020, 10, 7586 .

AMA Style

Jose E. Lozano-Rizk, Juan I. Nieto-Hipolito, Raul Rivera-Rodriguez, Maria A. Cosio-Leon, Mabel Vazquez-Briseño, Juan C. Chimal-Eguia. QoSComm: A Data Flow Allocation Strategy among SDN-Based Data Centers for IoT Big Data Analytics. Applied Sciences. 2020; 10 (21):7586.

Chicago/Turabian Style

Jose E. Lozano-Rizk; Juan I. Nieto-Hipolito; Raul Rivera-Rodriguez; Maria A. Cosio-Leon; Mabel Vazquez-Briseño; Juan C. Chimal-Eguia. 2020. "QoSComm: A Data Flow Allocation Strategy among SDN-Based Data Centers for IoT Big Data Analytics." Applied Sciences 10, no. 21: 7586.

Journal article
Published: 31 January 2020 in Entropy
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This work presents an analysis for real and synthetic angiogenic networks using a tomography image that obtains a portrait of a vascular network. After the image conversion into a binary format it is possible to measure various network properties, which includes the average path length, the clustering coefficient, the degree distribution and the fractal dimension. When comparing the observed properties with that produced by the Invasion Percolation algorithm (IPA), we observe that there exist differences between the properties obtained by the real and the synthetic networks produced by the IPA algorithm. Taking into account the former, a new algorithm which models the expansion of an angiogenic network through randomly heuristic rules is proposed. When comparing this new algorithm with the real networks it is observed that now both share some properties. Once creating synthetic networks, we prove the robustness of the network by subjecting the original angiogenic and the synthetic networks to the removal of the most connected nodes, and see to what extent the properties changed. Using this concept of robustness, in a very naive fashion it is possible to launch a hypothetical proposal for a therapeutic treatment based on the robustness of the network.

ACS Style

Juan Carlos Chimal-Eguía; Erandi Castillo-Montiel; Ricardo T. Paez-Hernández. Properties of the Vascular Networks in Malignant Tumors. Entropy 2020, 22, 166 .

AMA Style

Juan Carlos Chimal-Eguía, Erandi Castillo-Montiel, Ricardo T. Paez-Hernández. Properties of the Vascular Networks in Malignant Tumors. Entropy. 2020; 22 (2):166.

Chicago/Turabian Style

Juan Carlos Chimal-Eguía; Erandi Castillo-Montiel; Ricardo T. Paez-Hernández. 2020. "Properties of the Vascular Networks in Malignant Tumors." Entropy 22, no. 2: 166.

Journal article
Published: 24 October 2019 in Entropy
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In this paper, the methodology of the so-called Linear Irreversible Thermodynamics (LIT) is applied to analyze the properties of an energetic-converting biological process using simple model for an enzymatic reaction that couples one exothermic and one endothermic reaction in the same fashion as Diaz-Hernandez et al. (Physica A, 2010, 389, 3476–3483). We extend the former analysis to consider three different operating regimes; namely, Maximum Power Output (MPO), Maximum Ecological Function (MEF) and Maximum Efficient Power Function (MEPF), respectively. Based on the later, it is possible to generalize the obtained results. Additionally, results show analogies in the optimal performance between the different optimization criteria where all thermodynamic features are determined by three parameters (the chemical potential gap Δ = μ 1 − μ 4 R T , the degree of coupling q and the efficiency η ). This depends on the election that leads to more or less efficient energy exchange.

ACS Style

J. C. Chimal-Eguia; R. Paez-Hernandez; Delfino Ladino-Luna; Juan Manuel Velázquez-Arcos. Performance of a simple energetic-converting reaction model using Linear Irreversible Thermodynamics. Entropy 2019, 21, 1030 .

AMA Style

J. C. Chimal-Eguia, R. Paez-Hernandez, Delfino Ladino-Luna, Juan Manuel Velázquez-Arcos. Performance of a simple energetic-converting reaction model using Linear Irreversible Thermodynamics. Entropy. 2019; 21 (11):1030.

Chicago/Turabian Style

J. C. Chimal-Eguia; R. Paez-Hernandez; Delfino Ladino-Luna; Juan Manuel Velázquez-Arcos. 2019. "Performance of a simple energetic-converting reaction model using Linear Irreversible Thermodynamics." Entropy 21, no. 11: 1030.

Research article
Published: 26 August 2019 in Wireless Communications and Mobile Computing
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Vehicular networks is a key technology for efficiently communicating both user’s devices and cars for timely information regarding safe driving conditions and entertaining applications like social media, video streaming, and gaming services, among others. In view of this, mobile communications making use of cellular resources may not be an efficient and cost-effective alternative. In this context, the implementation of light-fidelity (LiFi) in vehicular communications could be a low-cost, high-data-rate, and efficient-bandwidth usage solution. In this work, we propose a mathematical analysis to study the average throughput in a road intersection equipped with a traffic light that operates as a server, which is assumed to have LiFi communication links with the front lights of the vehicles waiting for the green light. We further assume that the front vehicle (the car next to the traffic light) is able to communicate to the car immediately behind it by using its own tail lights and the front lights of such vehicle, and so on and so forth. The behavior of the road junction is modeled by a Markov chain, applying the Queueing theory with an M/M/1 system in order to obtain the average queue length. Then, Little’s theorem is applied to calculate the average waiting delay when the red light is present in the traffic light. Finally, the mathematical expression of the data throughput is derived.

ACS Style

Gerardo Hernandez-Oregon; Mario E. Rivero-Angeles; Juan C. Chimal-Eguía; Arturo Campos-Fentanes; Jorge G. Jimenez-Gallardo; Ulises Omar Estevez Alva; Omar Juarez-Gonzalez; Pedro O. Rosas-Calderon; Sergio Sandoval-Reyes; Rolando Menchaca-Mendez. Performance Analysis of V2V and V2I LiFi Communication Systems in Traffic Lights. Wireless Communications and Mobile Computing 2019, 2019, 1 -12.

AMA Style

Gerardo Hernandez-Oregon, Mario E. Rivero-Angeles, Juan C. Chimal-Eguía, Arturo Campos-Fentanes, Jorge G. Jimenez-Gallardo, Ulises Omar Estevez Alva, Omar Juarez-Gonzalez, Pedro O. Rosas-Calderon, Sergio Sandoval-Reyes, Rolando Menchaca-Mendez. Performance Analysis of V2V and V2I LiFi Communication Systems in Traffic Lights. Wireless Communications and Mobile Computing. 2019; 2019 ():1-12.

Chicago/Turabian Style

Gerardo Hernandez-Oregon; Mario E. Rivero-Angeles; Juan C. Chimal-Eguía; Arturo Campos-Fentanes; Jorge G. Jimenez-Gallardo; Ulises Omar Estevez Alva; Omar Juarez-Gonzalez; Pedro O. Rosas-Calderon; Sergio Sandoval-Reyes; Rolando Menchaca-Mendez. 2019. "Performance Analysis of V2V and V2I LiFi Communication Systems in Traffic Lights." Wireless Communications and Mobile Computing 2019, no. : 1-12.

Journal article
Published: 25 August 2018 in Entropy
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This paper presents a finite-time thermodynamic optimization based on three different optimization criteria: Maximum Power Output (MP), Maximum Efficient Power (MEP), and Maximum Power Density (MPD), for a simplified Curzon-Ahlborn engine that was first proposed by Agrawal. The results obtained for the MP are compared with those obtained using MEP and MPD criteria. The results show that when a Newton heat transfer law is used, the efficiency values of the engine working in the MP regime are lower than the efficiency values ( τ ) obtained with the MEP and MPD regimes for all values of the parameter τ = T 2 / T 1 , where T 1 and T 2 are the hot and cold temperatures of the engine reservoirs ( T 2 < T 1 ) , respectively. However, when a Dulong-Petit heat transfer law is used, the efficiency values of the engine working at MEP are larger than those obtained with the MP and the MPD regimes for all values of τ . Notably, when 0 < τ < 0.68 , the efficiency values for the MP regime are larger than those obtained with the MPD regime. Also, when 0.68 < τ < 1 , the efficiency values for the aforementioned regimes are similar. Importantly, the parameter τ plays a crucial role in the engine performance, providing guidance during the design of real power plants.

ACS Style

Ricardo T. Páez-Hernández; Juan Carlos Chimal-Eguía; Delfino Ladino-Luna; Juan Manuel Velázquez-Arcos. Comparative Performance Analysis of a Simplified Curzon-Ahlborn Engine. Entropy 2018, 20, 637 .

AMA Style

Ricardo T. Páez-Hernández, Juan Carlos Chimal-Eguía, Delfino Ladino-Luna, Juan Manuel Velázquez-Arcos. Comparative Performance Analysis of a Simplified Curzon-Ahlborn Engine. Entropy. 2018; 20 (9):637.

Chicago/Turabian Style

Ricardo T. Páez-Hernández; Juan Carlos Chimal-Eguía; Delfino Ladino-Luna; Juan Manuel Velázquez-Arcos. 2018. "Comparative Performance Analysis of a Simplified Curzon-Ahlborn Engine." Entropy 20, no. 9: 637.

Journal article
Published: 21 February 2018 in Journal of Non-Equilibrium Thermodynamics
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This paper presents a general property of endoreversible thermal engines known as the Semisum property previously studied in a finite-time thermodynamics context for a Curzon–Ahlborn (CA) engine but now extended to a simplified version of the CA engine studied by Agrawal in 2009 (A simplified version of the Curzon–Ahlborn engine, European Journal of Physics 30 (2009), 1173). By building the Ecological function, proposed by Angulo-Brown (An ecological optimization criterion for finite-time heat engines, Journal of Applied Physics 69 (1991), 7465–7469) in 1991, and considering two heat transfer laws an analytical expression is obtained for efficiency and power output which depends only on the heat reservoirs’ temperature. When comparing the existing efficiency values of real power plants and the theoretical efficiencies obtained in this work, it is observed that the Semisum property is satisfied. Moreover, for the Newton and the Dulong–Petit heat transfer laws the existence of the g function is demonstrated and we confirm that in a Carnot-type thermal engine there is a general property independent of the heat transfer law used between the thermal reservoirs and the working substance.

ACS Style

Ricardo T. Paéz-Hernández; Juan Carlos Chimal-Eguía; Norma Sánchez-Salas; Delfino Ladino-Luna. General Properties for an Agrawal Thermal Engine. Journal of Non-Equilibrium Thermodynamics 2018, 43, 131 -139.

AMA Style

Ricardo T. Paéz-Hernández, Juan Carlos Chimal-Eguía, Norma Sánchez-Salas, Delfino Ladino-Luna. General Properties for an Agrawal Thermal Engine. Journal of Non-Equilibrium Thermodynamics. 2018; 43 (2):131-139.

Chicago/Turabian Style

Ricardo T. Paéz-Hernández; Juan Carlos Chimal-Eguía; Norma Sánchez-Salas; Delfino Ladino-Luna. 2018. "General Properties for an Agrawal Thermal Engine." Journal of Non-Equilibrium Thermodynamics 43, no. 2: 131-139.

Journal article
Published: 22 November 2017 in Entropy
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This paper presents an analysis of a Curzon and Alhborn thermal engine model where both internal irreversibilities and non-instantaneous adiabatic branches are considered, operating with maximum ecological function and maximum power output regimes. Its thermodynamic properties are shown, and an analysis of its local dynamic stability is performed. The results derived are compared throughout the work with the results obtained previously for a case in which the adiabatic branches were assumed as instantaneous. The results indicate a better performance for thermodynamic properties in the model with instantaneous adiabatic branches, whereas there is an improvement in robustness in the case where non-instantaneous adiabatic branches are considered.

ACS Style

Ricardo T. Paéz-Hernández; Norma Sánchez-Salas; Juan C. Chimal-Eguía; Delfino Ladino-Luna. Dynamic and Thermodynamic Properties of a CA Engine with Non-Instantaneous Adiabats. Entropy 2017, 19, 632 .

AMA Style

Ricardo T. Paéz-Hernández, Norma Sánchez-Salas, Juan C. Chimal-Eguía, Delfino Ladino-Luna. Dynamic and Thermodynamic Properties of a CA Engine with Non-Instantaneous Adiabats. Entropy. 2017; 19 (11):632.

Chicago/Turabian Style

Ricardo T. Paéz-Hernández; Norma Sánchez-Salas; Juan C. Chimal-Eguía; Delfino Ladino-Luna. 2017. "Dynamic and Thermodynamic Properties of a CA Engine with Non-Instantaneous Adiabats." Entropy 19, no. 11: 632.

Conference paper
Published: 01 January 2017 in Journal of Physics: Conference Series
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In this paper the methodology of the so-called Linear Irreversible Thermodynamics (LIT) is applied; although traditionally used locally to study general systems in non-equilibrium states in which it is consider both internal and external contributions to the entropy increments in order to analyze the efficiency of two coupled processes with generalized fluxes J 1, J 2 and their corresponding forces X 1, X 2. We extend the former analysis to takes into account two different operating regimes namely: Omega Function and Efficient Power criterion, respectively. Results show analogies in the optimal performance between and we can say that there exist a criteria of optimization which can be used specially for biological systems where a good design of the biological parameters made by nature at maximum efficient power conditions lead to more efficient engines than those at the maximum power conditions or ecological conditions.

ACS Style

J C Chimal; N Sánchez; Pr Ramírez. Thermodynamic Optimality criteria for biological systems in linear irreversible thermodynamics. Journal of Physics: Conference Series 2017, 792, 012082 .

AMA Style

J C Chimal, N Sánchez, Pr Ramírez. Thermodynamic Optimality criteria for biological systems in linear irreversible thermodynamics. Journal of Physics: Conference Series. 2017; 792 (1):012082.

Chicago/Turabian Style

J C Chimal; N Sánchez; Pr Ramírez. 2017. "Thermodynamic Optimality criteria for biological systems in linear irreversible thermodynamics." Journal of Physics: Conference Series 792, no. 1: 012082.

Journal article
Published: 09 June 2015 in Theoretical Biology and Medical Modelling
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The immunotherapy using dendritic cells (DCs) against different varieties of cancer is an approach that has been previously explored which induces a specific immune response. This work presents a mathematical model of DCs immunotherapy for melanoma in mice based on work by Experimental Immunotherapy Laboratory of the Medicine Faculty in the Universidad Autonoma de Mexico (UNAM). The model is a five delay differential equation (DDEs) which represents a simplified view of the immunotherapy mechanisms. The mathematical model takes into account the interactions between tumor cells, dendritic cells, naive cytotoxic T lymphocytes cells (inactivated cytotoxic cells), effector cells (cytotoxic T activated cytotoxic cells) and transforming growth factor β cytokine (T G F−β). The model is validated comparing the computer simulation results with biological trial results of the immunotherapy developed by the research group of UNAM. The results of the growth of tumor cells obtained by the control immunotherapy simulation show a similar amount of tumor cell population than the biological data of the control immunotherapy. Moreover, comparing the increase of tumor cells obtained from the immunotherapy simulation and the biological data of the immunotherapy applied by the UNAM researchers obtained errors of approximately 10 %. This allowed us to use the model as a framework to test hypothetical treatments. The numerical simulations suggest that by using more doses of DCs and changing the infusion time, the tumor growth decays compared with the current immunotherapy. In addition, a local sensitivity analysis is performed; the results show that the delay in time “ τ”, the maximal growth rate of tumor “r” and the maximal efficiency of tumor cytotoxic cells rate “aT” are the most sensitive model parameters. By using this mathematical model it is possible to simulate the growth of the tumor cells with or without immunotherapy using the infusion protocol of the UNAM researchers, to obtain a good approximation of the biological trials data. It is worth mentioning that by manipulating the different parameters of the model the effectiveness of the immunotherapy may increase. This last suggests that different protocols could be implemented by the Immunotherapy Laboratory of UNAM in order to improve their results.

ACS Style

E. Castillo-Montiel; J. C. Chimal-Eguía; J. Ignacio Tello; G. Piñon-Zaráte; M. Herrera-Enríquez; A. E. Castell-Rodríguez. Enhancing dendritic cell immunotherapy for melanoma using a simple mathematical model. Theoretical Biology and Medical Modelling 2015, 12, 1 -14.

AMA Style

E. Castillo-Montiel, J. C. Chimal-Eguía, J. Ignacio Tello, G. Piñon-Zaráte, M. Herrera-Enríquez, A. E. Castell-Rodríguez. Enhancing dendritic cell immunotherapy for melanoma using a simple mathematical model. Theoretical Biology and Medical Modelling. 2015; 12 (1):1-14.

Chicago/Turabian Style

E. Castillo-Montiel; J. C. Chimal-Eguía; J. Ignacio Tello; G. Piñon-Zaráte; M. Herrera-Enríquez; A. E. Castell-Rodríguez. 2015. "Enhancing dendritic cell immunotherapy for melanoma using a simple mathematical model." Theoretical Biology and Medical Modelling 12, no. 1: 1-14.

Journal article
Published: 17 December 2012 in Entropy
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This work shows the power of the variational approach for studying the efficiency of thermal engines in the context of the Finite Time Thermodynamics (FTT). Using an endoreversible Curzon–Ahlborn (CA) heat engine as a model for actual thermal engines, three different criteria for thermal efficiency were analyzed: maximum power output, ecological function, and maximum power density. By means of this procedure, the performance of the CA heat engine with a nonlinear heat transfer law (the Stefan–Boltzmann law) was studied to describe the heat exchanges between the working substance and its thermal reservoirs. The specific case of the Müser engine for all the criteria was analyzed. The results confirmed some previous findings using other procedures and additionally new results for the Müser engine performance were obtained.

ACS Style

Juan C. Chimal-Eguía; Norma Sánchez-Salas; Marco A. Barranco-Jiménez. A Finite-Time Thermal Cycle Variational Optimization with a Stefan–Boltzmann Law for Three Different Criteria. Entropy 2012, 14, 2611 -2625.

AMA Style

Juan C. Chimal-Eguía, Norma Sánchez-Salas, Marco A. Barranco-Jiménez. A Finite-Time Thermal Cycle Variational Optimization with a Stefan–Boltzmann Law for Three Different Criteria. Entropy. 2012; 14 (12):2611-2625.

Chicago/Turabian Style

Juan C. Chimal-Eguía; Norma Sánchez-Salas; Marco A. Barranco-Jiménez. 2012. "A Finite-Time Thermal Cycle Variational Optimization with a Stefan–Boltzmann Law for Three Different Criteria." Entropy 14, no. 12: 2611-2625.

Journal article
Published: 08 February 2011 in Entropy
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In this work, we focused mainly in the analysis of stability of a non-endoreversible Curzon-Ahlborn engine working in an ecological regime. For comparison purposes we also include the Maximum Efficient Power (MEP) regime taking into account the engine time delays. When the system’s dynamic stability is compared with its thermodynamics properties (efficiency and power output), we find that the temperature ratio τ = T1/T2 represents a trade-off between stability and energetic properties. When we take the non-endoreversible case, τ can increases to values greater than R (where R is the non-endoreversible parameter) but not greater than one. We reformulate an important difference between this case and the other two, Maximum Power (MP) and MEP regime, in which τ = R. Finally, we demonstrated that the total time delay does not destabilize the steady state of system. It does not seem to play a role in the dynamic thermodynamic property trade-off.

ACS Style

Norma Sanchez-Salas; Juan C. Chimal-Eguia; Florencio Guzman-Aguilar. On the Dynamic Robustness of a Non-Endoreversible Engine Working in Different Operation Regimes. Entropy 2011, 13, 422 -436.

AMA Style

Norma Sanchez-Salas, Juan C. Chimal-Eguia, Florencio Guzman-Aguilar. On the Dynamic Robustness of a Non-Endoreversible Engine Working in Different Operation Regimes. Entropy. 2011; 13 (2):422-436.

Chicago/Turabian Style

Norma Sanchez-Salas; Juan C. Chimal-Eguia; Florencio Guzman-Aguilar. 2011. "On the Dynamic Robustness of a Non-Endoreversible Engine Working in Different Operation Regimes." Entropy 13, no. 2: 422-436.