Nonlinear control designs and their application to cancer differentiation therapy
Math Biosci. 2023 Nov 7:109105. doi: 10.1016/j.mbs.2023.109105. Online ahead of print.ABSTRACTWe designed three new controllers: a sigmoid-based controller, a polynomial dynamic inversion-based controller, and a proportional-integral-derivative (PID) impulsive controller for cancer differentiation therapy. We compared these three controllers to existing control strategies to show the improvement in performance and compare their robustness. The sigmoid-based controller adds a sigmoid term associated with the error of the controlled state and a selected observed state. The sigmoid term is multiplied by a control gain, thereb...
Source: Mathematical Biosciences - November 9, 2023 Category: Statistics Authors: Yen-Che Hsiao Abhishek Dutta Source Type: research
A model for voles interference in cultivated orchards
Math Biosci. 2023 Nov 7;366:109107. doi: 10.1016/j.mbs.2023.109107. Online ahead of print.ABSTRACTWe consider a dynamical system involving seven populations to model the presence of voles in a cultivated orchard. The plant population is stratified by age (three groups) and by health status (being damaged or not). The last equation models the voles with a modified logistic equation with Allee effect, where the modification takes into account the disturbance provided by the human activity on the orchard. Both an analytical investigation and numerical simulations on a case study are presented. The latter support the observed ...
Source: Mathematical Biosciences - November 9, 2023 Category: Statistics Authors: Alberto Viscardi Sandro Bertolino Ezio Venturino Source Type: research
Nonlinear control designs and their application to cancer differentiation therapy
Math Biosci. 2023 Nov 7:109105. doi: 10.1016/j.mbs.2023.109105. Online ahead of print.ABSTRACTWe designed three new controllers: a sigmoid-based controller, a polynomial dynamic inversion-based controller, and a proportional-integral-derivative (PID) impulsive controller for cancer differentiation therapy. We compared these three controllers to existing control strategies to show the improvement in performance and compare their robustness. The sigmoid-based controller adds a sigmoid term associated with the error of the controlled state and a selected observed state. The sigmoid term is multiplied by a control gain, thereb...
Source: Mathematical Biosciences - November 9, 2023 Category: Statistics Authors: Yen-Che Hsiao Abhishek Dutta Source Type: research
A model for voles interference in cultivated orchards
Math Biosci. 2023 Nov 7;366:109107. doi: 10.1016/j.mbs.2023.109107. Online ahead of print.ABSTRACTWe consider a dynamical system involving seven populations to model the presence of voles in a cultivated orchard. The plant population is stratified by age (three groups) and by health status (being damaged or not). The last equation models the voles with a modified logistic equation with Allee effect, where the modification takes into account the disturbance provided by the human activity on the orchard. Both an analytical investigation and numerical simulations on a case study are presented. The latter support the observed ...
Source: Mathematical Biosciences - November 9, 2023 Category: Statistics Authors: Alberto Viscardi Sandro Bertolino Ezio Venturino Source Type: research
Nonlinear control designs and their application to cancer differentiation therapy
Math Biosci. 2023 Nov 7:109105. doi: 10.1016/j.mbs.2023.109105. Online ahead of print.ABSTRACTWe designed three new controllers: a sigmoid-based controller, a polynomial dynamic inversion-based controller, and a proportional-integral-derivative (PID) impulsive controller for cancer differentiation therapy. We compared these three controllers to existing control strategies to show the improvement in performance and compare their robustness. The sigmoid-based controller adds a sigmoid term associated with the error of the controlled state and a selected observed state. The sigmoid term is multiplied by a control gain, thereb...
Source: Mathematical Biosciences - November 9, 2023 Category: Statistics Authors: Yen-Che Hsiao Abhishek Dutta Source Type: research
A model for voles interference in cultivated orchards
Math Biosci. 2023 Nov 7:109107. doi: 10.1016/j.mbs.2023.109107. Online ahead of print.ABSTRACTWe consider a dynamical system involving seven populations to model the presence of voles in a cultivated orchard. The plant population is stratified by age (three groups) and by health status (being damaged or not). The last equation models the voles with a modified logistic equation with Allee effect, where the modification takes into account the disturbance provided by the human activity on the orchard. Both an analytical investigation and numerical simulations on a case study are presented. The latter support the observed diff...
Source: Mathematical Biosciences - November 9, 2023 Category: Statistics Authors: Alberto Viscardi Sandro Bertolino Ezio Venturino Source Type: research
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets
Math Biosci. 2023 Nov 7:109102. doi: 10.1016/j.mbs.2023.109102. Online ahead of print.ABSTRACTModeling biological systems holds great promise for speeding up the rate of discovery in systems biology by predicting experimental outcomes and suggesting targeted interventions. However, this process is dogged by an identifiability issue, in which network models and their parameters are not sufficiently constrained by coarse and noisy data to ensure unique solutions. In this work, we evaluated the capability of a simplified yeast cell-cycle network model to reproduce multiple observed transcriptomic behaviors under genomic mutat...
Source: Mathematical Biosciences - November 8, 2023 Category: Statistics Authors: Julian Fox Breschine Cummins Robert C Moseley Marcio Gameiro Steven B Haase Source Type: research
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets
Math Biosci. 2023 Nov 6:109102. doi: 10.1016/j.mbs.2023.109102. Online ahead of print.ABSTRACTModeling biological systems holds great promise for speeding up the rate of discovery in systems biology by predicting experimental outcomes and suggesting targeted interventions. However, this process is dogged by an identifiability issue, in which network models and their parameters are not sufficiently constrained by coarse and noisy data to ensure unique solutions. In this work, we evaluated the capability of a simplified yeast cell-cycle network model to reproduce multiple observed transcriptomic behaviors under genomic mutat...
Source: Mathematical Biosciences - November 8, 2023 Category: Statistics Authors: Julian Fox Breschine Cummins Robert C Moseley Marcio Gameiro Steven B Haase Source Type: research
Investigating tumor-host response dynamics in preclinical immunotherapy experiments using a stepwise mathematical modeling strategy
Math Biosci. 2023 Nov 4:109106. doi: 10.1016/j.mbs.2023.109106. Online ahead of print.ABSTRACTImmunotherapies such as checkpoint blockade to PD1 and CTLA4 can have varied effects on individual tumors. To quantify the successes and failures of these therapeutics, we developed a stepwise mathematical modeling strategy and applied it to mouse models of colorectal and breast cancer that displayed a range of therapeutic responses. Using longitudinal tumor volume data, an exponential growth model was utilized to designate response groups for each tumor type. The exponential growth model was then extended to describe the dynamics...
Source: Mathematical Biosciences - November 6, 2023 Category: Statistics Authors: Angela M Jarrett Patrick N Song Kirsten Reeves Ernesto A B F Lima Benjamin Larimer Thomas E Yankeelov Anna G Sorace Source Type: research
Investigating tumor-host response dynamics in preclinical immunotherapy experiments using a stepwise mathematical modeling strategy
Math Biosci. 2023 Nov 4:109106. doi: 10.1016/j.mbs.2023.109106. Online ahead of print.ABSTRACTImmunotherapies such as checkpoint blockade to PD1 and CTLA4 can have varied effects on individual tumors. To quantify the successes and failures of these therapeutics, we developed a stepwise mathematical modeling strategy and applied it to mouse models of colorectal and breast cancer that displayed a range of therapeutic responses. Using longitudinal tumor volume data, an exponential growth model was utilized to designate response groups for each tumor type. The exponential growth model was then extended to describe the dynamics...
Source: Mathematical Biosciences - November 6, 2023 Category: Statistics Authors: Angela M Jarrett Patrick N Song Kirsten Reeves Ernesto A B F Lima Benjamin Larimer Thomas E Yankeelov Anna G Sorace Source Type: research
Edge-based compartmental modeling for the spread of cholera on random networks: A case study in Somalia
Math Biosci. 2023 Nov 3;366:109092. doi: 10.1016/j.mbs.2023.109092. Online ahead of print.ABSTRACTCholera remains a major public health problem that threatens human health worldwide and its severity is continuing. In this paper, an edge-based model for cholera transmission on random networks is proposed and investigated. The model assumes that two communities share a common water source and includes three transmission routes, namely intra- and inter-community human-to-human transmission as well as water-to-human transmission. Intra-community human-to-human contacts are modeled through a random contact network, while both i...
Source: Mathematical Biosciences - November 3, 2023 Category: Statistics Authors: Xinxin Cheng Yi Wang Gang Huang Source Type: research
Edge-based compartmental modeling for the spread of cholera on random networks: A case study in Somalia
Math Biosci. 2023 Nov 1:109092. doi: 10.1016/j.mbs.2023.109092. Online ahead of print.ABSTRACTCholera remains a major public health problem that threatens human health worldwide and its severity is continuing. In this paper, an edge-based model for cholera transmission on random networks is proposed and investigated. The model assumes that two communities share a common water source and includes three transmission routes, namely intra- and inter-community human-to-human transmission as well as water-to-human transmission. Intra-community human-to-human contacts are modeled through a random contact network, while both inter...
Source: Mathematical Biosciences - November 3, 2023 Category: Statistics Authors: Xinxin Cheng Yi Wang Gang Huang Source Type: research
Optimal vaccination strategies for a heterogeneous population using multiple objectives: The case of L < sub > 1 < /sub > - and L < sub > 2 < /sub > -formulations
In this study, we investigate the role of the objective functional on the structure of the optimal control solution for an epidemic model for sexually transmitted infections that includes a core group with higher sexual activity levels than the rest of the population. An optimal control problem is formulated to find a targeted vaccination program able to control the spread of the infection with minimum vaccine deployment. Both L1- and L2-objectives are considered as an attempt to explore the trade-offs between control dynamics and the functional form characterizing optimality. The results show that the optimal vaccination ...
Source: Mathematical Biosciences - November 2, 2023 Category: Statistics Authors: Fernando Salda ña Amira Kebir Jos é Ariel Camacho-Gutiérrez Ma íra Aguiar Source Type: research
A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells
Math Biosci. 2023 Oct 31;366:109104. doi: 10.1016/j.mbs.2023.109104. Online ahead of print.ABSTRACTIn this work, we introduce a phenomenological model for the cone-horizontal cell assembly, including spatial integration and formation of receptive field-like structures. The model extends our previous dynamical adaptation description with gain control accounting for processes in single cones, valid in severe nonlinear regimes. Here, a spatially extended feedback mechanism is introduced from horizontal cells to cones to account for experimental evidence, contributing thus to the development of a center-surround receptive fiel...
Source: Mathematical Biosciences - November 2, 2023 Category: Statistics Authors: Miguel Castillo Garc ía Eugenio Urdapilleta Source Type: research
Optimal vaccination strategies for a heterogeneous population using multiple objectives: The case of L < sub > 1 < /sub > - and L < sub > 2 < /sub > -formulations
In this study, we investigate the role of the objective functional on the structure of the optimal control solution for an epidemic model for sexually transmitted infections that includes a core group with higher sexual activity levels than the rest of the population. An optimal control problem is formulated to find a targeted vaccination program able to control the spread of the infection with minimum vaccine deployment. Both L1- and L2-objectives are considered as an attempt to explore the trade-offs between control dynamics and the functional form characterizing optimality. The results show that the optimal vaccination ...
Source: Mathematical Biosciences - November 2, 2023 Category: Statistics Authors: Fernando Salda ña Amira Kebir Jos é Ariel Camacho-Gutiérrez Ma íra Aguiar Source Type: research
