Optimization Therapy by Coupling Intermittent Androgen Suppression with Impulsive Chemotherapy for a Prostate Cancer Model
Bull Math Biol. 2023 Nov 7;85(12):123. doi: 10.1007/s11538-023-01228-2.ABSTRACTIntermittent androgen suppression in the prostate cancer is often relapsed by the increasing of prostate specific antigen level during the on-treatment. Historically, chemotherapy has had a limited role in the treatment of prostate cancer. However, new agents are showing promise in patients with advanced disease. Intermittent androgen suppression plus chemotherapy in pulsed pattern has become an indispensable clinical scheme for prostate cancer, which is presented to describe the transformation mechanism for three kinds of cancer cells in this p...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Yongzhen Pei Yunfei Lv Changguo Li Dandan Fang Source Type: research
A Nonlinear Delay Model for Metabolic Oscillations in Yeast Cells
Bull Math Biol. 2023 Nov 7;85(12):122. doi: 10.1007/s11538-023-01227-3.ABSTRACTWe introduce two time-delay models of metabolic oscillations in yeast cells. Our model tests a hypothesis that the oscillations occur as multiple pathways share a limited resource which we equate to the number of available ribosomes. We initially explore a single-protein model with a constraint equation governing the total resource available to the cell. The model is then extended to include three proteins that share a resource pool. Three approaches are considered at constant delay to numerically detect oscillations. First, we use a spectral el...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Max M Chumley Firas A Khasawneh Andreas Otto Tomas Gedeon Source Type: research
Optimization Therapy by Coupling Intermittent Androgen Suppression with Impulsive Chemotherapy for a Prostate Cancer Model
Bull Math Biol. 2023 Nov 7;85(12):123. doi: 10.1007/s11538-023-01228-2.ABSTRACTIntermittent androgen suppression in the prostate cancer is often relapsed by the increasing of prostate specific antigen level during the on-treatment. Historically, chemotherapy has had a limited role in the treatment of prostate cancer. However, new agents are showing promise in patients with advanced disease. Intermittent androgen suppression plus chemotherapy in pulsed pattern has become an indispensable clinical scheme for prostate cancer, which is presented to describe the transformation mechanism for three kinds of cancer cells in this p...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Yongzhen Pei Yunfei Lv Changguo Li Dandan Fang Source Type: research
A Nonlinear Delay Model for Metabolic Oscillations in Yeast Cells
Bull Math Biol. 2023 Nov 7;85(12):122. doi: 10.1007/s11538-023-01227-3.ABSTRACTWe introduce two time-delay models of metabolic oscillations in yeast cells. Our model tests a hypothesis that the oscillations occur as multiple pathways share a limited resource which we equate to the number of available ribosomes. We initially explore a single-protein model with a constraint equation governing the total resource available to the cell. The model is then extended to include three proteins that share a resource pool. Three approaches are considered at constant delay to numerically detect oscillations. First, we use a spectral el...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Max M Chumley Firas A Khasawneh Andreas Otto Tomas Gedeon Source Type: research
Optimization Therapy by Coupling Intermittent Androgen Suppression with Impulsive Chemotherapy for a Prostate Cancer Model
Bull Math Biol. 2023 Nov 7;85(12):123. doi: 10.1007/s11538-023-01228-2.ABSTRACTIntermittent androgen suppression in the prostate cancer is often relapsed by the increasing of prostate specific antigen level during the on-treatment. Historically, chemotherapy has had a limited role in the treatment of prostate cancer. However, new agents are showing promise in patients with advanced disease. Intermittent androgen suppression plus chemotherapy in pulsed pattern has become an indispensable clinical scheme for prostate cancer, which is presented to describe the transformation mechanism for three kinds of cancer cells in this p...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Yongzhen Pei Yunfei Lv Changguo Li Dandan Fang Source Type: research
A Nonlinear Delay Model for Metabolic Oscillations in Yeast Cells
Bull Math Biol. 2023 Nov 7;85(12):122. doi: 10.1007/s11538-023-01227-3.ABSTRACTWe introduce two time-delay models of metabolic oscillations in yeast cells. Our model tests a hypothesis that the oscillations occur as multiple pathways share a limited resource which we equate to the number of available ribosomes. We initially explore a single-protein model with a constraint equation governing the total resource available to the cell. The model is then extended to include three proteins that share a resource pool. Three approaches are considered at constant delay to numerically detect oscillations. First, we use a spectral el...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Max M Chumley Firas A Khasawneh Andreas Otto Tomas Gedeon Source Type: research
Optimization Therapy by Coupling Intermittent Androgen Suppression with Impulsive Chemotherapy for a Prostate Cancer Model
Bull Math Biol. 2023 Nov 7;85(12):123. doi: 10.1007/s11538-023-01228-2.ABSTRACTIntermittent androgen suppression in the prostate cancer is often relapsed by the increasing of prostate specific antigen level during the on-treatment. Historically, chemotherapy has had a limited role in the treatment of prostate cancer. However, new agents are showing promise in patients with advanced disease. Intermittent androgen suppression plus chemotherapy in pulsed pattern has become an indispensable clinical scheme for prostate cancer, which is presented to describe the transformation mechanism for three kinds of cancer cells in this p...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Yongzhen Pei Yunfei Lv Changguo Li Dandan Fang Source Type: research
A Nonlinear Delay Model for Metabolic Oscillations in Yeast Cells
Bull Math Biol. 2023 Nov 7;85(12):122. doi: 10.1007/s11538-023-01227-3.ABSTRACTWe introduce two time-delay models of metabolic oscillations in yeast cells. Our model tests a hypothesis that the oscillations occur as multiple pathways share a limited resource which we equate to the number of available ribosomes. We initially explore a single-protein model with a constraint equation governing the total resource available to the cell. The model is then extended to include three proteins that share a resource pool. Three approaches are considered at constant delay to numerically detect oscillations. First, we use a spectral el...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Max M Chumley Firas A Khasawneh Andreas Otto Tomas Gedeon Source Type: research
Optimization Therapy by Coupling Intermittent Androgen Suppression with Impulsive Chemotherapy for a Prostate Cancer Model
Bull Math Biol. 2023 Nov 7;85(12):123. doi: 10.1007/s11538-023-01228-2.ABSTRACTIntermittent androgen suppression in the prostate cancer is often relapsed by the increasing of prostate specific antigen level during the on-treatment. Historically, chemotherapy has had a limited role in the treatment of prostate cancer. However, new agents are showing promise in patients with advanced disease. Intermittent androgen suppression plus chemotherapy in pulsed pattern has become an indispensable clinical scheme for prostate cancer, which is presented to describe the transformation mechanism for three kinds of cancer cells in this p...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Yongzhen Pei Yunfei Lv Changguo Li Dandan Fang Source Type: research
A Nonlinear Delay Model for Metabolic Oscillations in Yeast Cells
Bull Math Biol. 2023 Nov 7;85(12):122. doi: 10.1007/s11538-023-01227-3.ABSTRACTWe introduce two time-delay models of metabolic oscillations in yeast cells. Our model tests a hypothesis that the oscillations occur as multiple pathways share a limited resource which we equate to the number of available ribosomes. We initially explore a single-protein model with a constraint equation governing the total resource available to the cell. The model is then extended to include three proteins that share a resource pool. Three approaches are considered at constant delay to numerically detect oscillations. First, we use a spectral el...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Max M Chumley Firas A Khasawneh Andreas Otto Tomas Gedeon Source Type: research
Optimization Therapy by Coupling Intermittent Androgen Suppression with Impulsive Chemotherapy for a Prostate Cancer Model
Bull Math Biol. 2023 Nov 7;85(12):123. doi: 10.1007/s11538-023-01228-2.ABSTRACTIntermittent androgen suppression in the prostate cancer is often relapsed by the increasing of prostate specific antigen level during the on-treatment. Historically, chemotherapy has had a limited role in the treatment of prostate cancer. However, new agents are showing promise in patients with advanced disease. Intermittent androgen suppression plus chemotherapy in pulsed pattern has become an indispensable clinical scheme for prostate cancer, which is presented to describe the transformation mechanism for three kinds of cancer cells in this p...
Source: Bulletin of Mathematical Biology - November 7, 2023 Category: Bioinformatics Authors: Yongzhen Pei Yunfei Lv Changguo Li Dandan Fang Source Type: research
Forced Traveling Waves in a Reaction-Diffusion Equation with Strong Allee Effect and Shifting Habitat
Bull Math Biol. 2023 Nov 3;85(12):121. doi: 10.1007/s11538-023-01221-9.ABSTRACTWe study a reaction-diffusion equation that describes the growth of a population with a strong Allee effect in a bounded habitat which shifts at a speed [Formula: see text]. We demonstrate that the existence of forced positive traveling waves depends on habitat size L, and [Formula: see text], the speed of traveling wave for the corresponding reaction-diffusion equation with the same growth function all over the entire unbounded spatial domain. It is shown that for [Formula: see text] there exists a positive number [Formula: see text] such that ...
Source: Bulletin of Mathematical Biology - November 3, 2023 Category: Bioinformatics Authors: Bingtuan Li Garrett Otto Source Type: research
Forced Traveling Waves in a Reaction-Diffusion Equation with Strong Allee Effect and Shifting Habitat
Bull Math Biol. 2023 Nov 3;85(12):121. doi: 10.1007/s11538-023-01221-9.ABSTRACTWe study a reaction-diffusion equation that describes the growth of a population with a strong Allee effect in a bounded habitat which shifts at a speed [Formula: see text]. We demonstrate that the existence of forced positive traveling waves depends on habitat size L, and [Formula: see text], the speed of traveling wave for the corresponding reaction-diffusion equation with the same growth function all over the entire unbounded spatial domain. It is shown that for [Formula: see text] there exists a positive number [Formula: see text] such that ...
Source: Bulletin of Mathematical Biology - November 3, 2023 Category: Bioinformatics Authors: Bingtuan Li Garrett Otto Source Type: research
Forced Traveling Waves in a Reaction-Diffusion Equation with Strong Allee Effect and Shifting Habitat
Bull Math Biol. 2023 Nov 3;85(12):121. doi: 10.1007/s11538-023-01221-9.ABSTRACTWe study a reaction-diffusion equation that describes the growth of a population with a strong Allee effect in a bounded habitat which shifts at a speed [Formula: see text]. We demonstrate that the existence of forced positive traveling waves depends on habitat size L, and [Formula: see text], the speed of traveling wave for the corresponding reaction-diffusion equation with the same growth function all over the entire unbounded spatial domain. It is shown that for [Formula: see text] there exists a positive number [Formula: see text] such that ...
Source: Bulletin of Mathematical Biology - November 3, 2023 Category: Bioinformatics Authors: Bingtuan Li Garrett Otto Source Type: research
Forced Traveling Waves in a Reaction-Diffusion Equation with Strong Allee Effect and Shifting Habitat
Bull Math Biol. 2023 Nov 3;85(12):121. doi: 10.1007/s11538-023-01221-9.ABSTRACTWe study a reaction-diffusion equation that describes the growth of a population with a strong Allee effect in a bounded habitat which shifts at a speed [Formula: see text]. We demonstrate that the existence of forced positive traveling waves depends on habitat size L, and [Formula: see text], the speed of traveling wave for the corresponding reaction-diffusion equation with the same growth function all over the entire unbounded spatial domain. It is shown that for [Formula: see text] there exists a positive number [Formula: see text] such that ...
Source: Bulletin of Mathematical Biology - November 3, 2023 Category: Bioinformatics Authors: Bingtuan Li Garrett Otto Source Type: research
