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
A Multigenerational Turing Model Reproduces Transgressive Petal Spot Phenotypes in Hybrid Mimulus
Bull Math Biol. 2023 Nov 1;85(12):120. doi: 10.1007/s11538-023-01223-7.ABSTRACTThe origin of phenotypic novelty is a perennial question of genetics and evolution. To date, few studies of biological pattern formation specifically address multi-generational aspects of inheritance and phenotypic novelty. For quantitative traits influenced by many segregating alleles, offspring phenotypes are often intermediate to parental values. In other cases, offspring phenotypes can be transgressive to parental values. For example, in the model organism Mimulus (monkeyflower), the offspring of parents with solid-colored petals exhibit nov...
Source: Bulletin of Mathematical Biology - November 2, 2023 Category: Bioinformatics Authors: Emily S G Simmons Arielle M Cooley Joshua R Puzey Gregory D ConradiSmith Source Type: research
A Multigenerational Turing Model Reproduces Transgressive Petal Spot Phenotypes in Hybrid Mimulus
Bull Math Biol. 2023 Nov 1;85(12):120. doi: 10.1007/s11538-023-01223-7.ABSTRACTThe origin of phenotypic novelty is a perennial question of genetics and evolution. To date, few studies of biological pattern formation specifically address multi-generational aspects of inheritance and phenotypic novelty. For quantitative traits influenced by many segregating alleles, offspring phenotypes are often intermediate to parental values. In other cases, offspring phenotypes can be transgressive to parental values. For example, in the model organism Mimulus (monkeyflower), the offspring of parents with solid-colored petals exhibit nov...
Source: Bulletin of Mathematical Biology - November 2, 2023 Category: Bioinformatics Authors: Emily S G Simmons Arielle M Cooley Joshua R Puzey Gregory D ConradiSmith Source Type: research
Ribosome Abundance Control in Prokaryotes
Bull Math Biol. 2023 Oct 20;85(12):119. doi: 10.1007/s11538-023-01212-w.ABSTRACTCell growth is an essential phenotype of any unicellular organism and it crucially depends on precise control of protein synthesis. We construct a model of the feedback mechanisms that regulate abundance of ribosomes in E. coli, a prototypical prokaryotic organism. Since ribosomes are needed to produce more ribosomes, the model includes a positive feedback loop central to the control of cell growth. Our analysis of the model shows that there can be only two coexisting equilibrium states across all 23 parameters. This precludes the existence of ...
Source: Bulletin of Mathematical Biology - October 20, 2023 Category: Bioinformatics Authors: Jacob Shea Lisa Davis Bright Quaye Tomas Gedeon Source Type: research
Ribosome Abundance Control in Prokaryotes
Bull Math Biol. 2023 Oct 20;85(12):119. doi: 10.1007/s11538-023-01212-w.ABSTRACTCell growth is an essential phenotype of any unicellular organism and it crucially depends on precise control of protein synthesis. We construct a model of the feedback mechanisms that regulate abundance of ribosomes in E. coli, a prototypical prokaryotic organism. Since ribosomes are needed to produce more ribosomes, the model includes a positive feedback loop central to the control of cell growth. Our analysis of the model shows that there can be only two coexisting equilibrium states across all 23 parameters. This precludes the existence of ...
Source: Bulletin of Mathematical Biology - October 20, 2023 Category: Bioinformatics Authors: Jacob Shea Lisa Davis Bright Quaye Tomas Gedeon Source Type: research
Ribosome Abundance Control in Prokaryotes
Bull Math Biol. 2023 Oct 20;85(12):119. doi: 10.1007/s11538-023-01212-w.ABSTRACTCell growth is an essential phenotype of any unicellular organism and it crucially depends on precise control of protein synthesis. We construct a model of the feedback mechanisms that regulate abundance of ribosomes in E. coli, a prototypical prokaryotic organism. Since ribosomes are needed to produce more ribosomes, the model includes a positive feedback loop central to the control of cell growth. Our analysis of the model shows that there can be only two coexisting equilibrium states across all 23 parameters. This precludes the existence of ...
Source: Bulletin of Mathematical Biology - October 20, 2023 Category: Bioinformatics Authors: Jacob Shea Lisa Davis Bright Quaye Tomas Gedeon Source Type: research
Ribosome Abundance Control in Prokaryotes
Bull Math Biol. 2023 Oct 20;85(12):119. doi: 10.1007/s11538-023-01212-w.ABSTRACTCell growth is an essential phenotype of any unicellular organism and it crucially depends on precise control of protein synthesis. We construct a model of the feedback mechanisms that regulate abundance of ribosomes in E. coli, a prototypical prokaryotic organism. Since ribosomes are needed to produce more ribosomes, the model includes a positive feedback loop central to the control of cell growth. Our analysis of the model shows that there can be only two coexisting equilibrium states across all 23 parameters. This precludes the existence of ...
Source: Bulletin of Mathematical Biology - October 20, 2023 Category: Bioinformatics Authors: Jacob Shea Lisa Davis Bright Quaye Tomas Gedeon Source Type: research
Ribosome Abundance Control in Prokaryotes
Bull Math Biol. 2023 Oct 20;85(12):119. doi: 10.1007/s11538-023-01212-w.ABSTRACTCell growth is an essential phenotype of any unicellular organism and it crucially depends on precise control of protein synthesis. We construct a model of the feedback mechanisms that regulate abundance of ribosomes in E. coli, a prototypical prokaryotic organism. Since ribosomes are needed to produce more ribosomes, the model includes a positive feedback loop central to the control of cell growth. Our analysis of the model shows that there can be only two coexisting equilibrium states across all 23 parameters. This precludes the existence of ...
Source: Bulletin of Mathematical Biology - October 20, 2023 Category: Bioinformatics Authors: Jacob Shea Lisa Davis Bright Quaye Tomas Gedeon Source Type: research
Ribosome Abundance Control in Prokaryotes
Bull Math Biol. 2023 Oct 20;85(12):119. doi: 10.1007/s11538-023-01212-w.ABSTRACTCell growth is an essential phenotype of any unicellular organism and it crucially depends on precise control of protein synthesis. We construct a model of the feedback mechanisms that regulate abundance of ribosomes in E. coli, a prototypical prokaryotic organism. Since ribosomes are needed to produce more ribosomes, the model includes a positive feedback loop central to the control of cell growth. Our analysis of the model shows that there can be only two coexisting equilibrium states across all 23 parameters. This precludes the existence of ...
Source: Bulletin of Mathematical Biology - October 20, 2023 Category: Bioinformatics Authors: Jacob Shea Lisa Davis Bright Quaye Tomas Gedeon Source Type: research
Ribosome Abundance Control in Prokaryotes
Bull Math Biol. 2023 Oct 20;85(12):119. doi: 10.1007/s11538-023-01212-w.ABSTRACTCell growth is an essential phenotype of any unicellular organism and it crucially depends on precise control of protein synthesis. We construct a model of the feedback mechanisms that regulate abundance of ribosomes in E. coli, a prototypical prokaryotic organism. Since ribosomes are needed to produce more ribosomes, the model includes a positive feedback loop central to the control of cell growth. Our analysis of the model shows that there can be only two coexisting equilibrium states across all 23 parameters. This precludes the existence of ...
Source: Bulletin of Mathematical Biology - October 20, 2023 Category: Bioinformatics Authors: Jacob Shea Lisa Davis Bright Quaye Tomas Gedeon Source Type: research
Ribosome Abundance Control in Prokaryotes
Bull Math Biol. 2023 Oct 20;85(12):119. doi: 10.1007/s11538-023-01212-w.ABSTRACTCell growth is an essential phenotype of any unicellular organism and it crucially depends on precise control of protein synthesis. We construct a model of the feedback mechanisms that regulate abundance of ribosomes in E. coli, a prototypical prokaryotic organism. Since ribosomes are needed to produce more ribosomes, the model includes a positive feedback loop central to the control of cell growth. Our analysis of the model shows that there can be only two coexisting equilibrium states across all 23 parameters. This precludes the existence of ...
Source: Bulletin of Mathematical Biology - October 20, 2023 Category: Bioinformatics Authors: Jacob Shea Lisa Davis Bright Quaye Tomas Gedeon Source Type: research
