A stochastic programming approach to the antibiotics time machine problem
Math Biosci. 2024 Apr 10;372:109191. doi: 10.1016/j.mbs.2024.109191. Online ahead of print.ABSTRACTAntibiotics Time Machine is an important problem to understand antibiotic resistance and how it can be reversed. Mathematically, it can be modeled as follows: Consider a set of genotypes, each of which contain a set of mutated and unmutated genes. Suppose that a set of growth rate measurements of each genotype under a set of antibiotics is given. The transition probabilities of a 'realization' of a Markov chain associated with each arc under each antibiotic are computable via a predefined function given the growth rate realiz...
Source: Mathematical Biosciences - April 11, 2024 Category: Statistics Authors: O ğuz Mesüm Ali Rana Atilgan Burak Kocuk Source Type: research
A stochastic programming approach to the antibiotics time machine problem
Math Biosci. 2024 Apr 9:109191. doi: 10.1016/j.mbs.2024.109191. Online ahead of print.ABSTRACTAntibiotics Time Machine is an important problem to understand antibiotic resistance and how it can be reversed. Mathematically, it can be modelled as follows: Consider a set of genotypes, each of which contain a set of mutated and unmutated genes. Suppose that a set of growth rate measurements of each genotype under a set of antibiotics are given. The transition probabilities of a 'realization' of a Markov chain associated with each arc under each antibiotic are computable via a predefined function given the growth rate realizati...
Source: Mathematical Biosciences - April 11, 2024 Category: Statistics Authors: O ğuz Mesüm Ali Rana Atilgan Burak Kocuk Source Type: research
A probabilistic model of relapse in drug addiction
We present a mathematical model of relapse in drug addiction that draws on known psychiatric concepts such as the "positive activation; negative activation" paradigm and the "peak-end" rule to construct a relapse rate that depends on external factors (intensity and timing of life events) and individual traits (mental responses to these events). We analyze which combinations and ordering of stressors, cues, and positive events lead to the largest relapse probability and propose interventions to minimize the likelihood of relapse. We find that the best protective factor is exposure to a mild, yet continuous, source of conten...
Source: Mathematical Biosciences - April 6, 2024 Category: Statistics Authors: Sayun Mao Tom Chou Maria R D'Orsogna Source Type: research
A probabilistic model of relapse in drug addiction
We present a mathematical model of relapse in drug addiction that draws on known psychiatric concepts such as the "positive activation; negative activation" paradigm and the "peak-end" rule to construct a relapse rate that depends on external factors (intensity and timing of life events) and individual traits (mental responses to these events). We analyze which combinations and ordering of stressors, cues and positive events lead to the largest relapse probability and propose interventions to minimize the likelihood of relapse. We find that the best protective factor is exposure to a mild, yet continuous, source of content...
Source: Mathematical Biosciences - April 6, 2024 Category: Statistics Authors: Sayun Mao Tom Chou Maria R D'Orsogna Source Type: research
A probabilistic model of relapse in drug addiction
We present a mathematical model of relapse in drug addiction that draws on known psychiatric concepts such as the "positive activation; negative activation" paradigm and the "peak-end" rule to construct a relapse rate that depends on external factors (intensity and timing of life events) and individual traits (mental responses to these events). We analyze which combinations and ordering of stressors, cues and positive events lead to the largest relapse probability and propose interventions to minimize the likelihood of relapse. We find that the best protective factor is exposure to a mild, yet continuous, source of content...
Source: Mathematical Biosciences - April 6, 2024 Category: Statistics Authors: Sayun Mao Tom Chou Maria R D'Orsogna Source Type: research
A probabilistic model of relapse in drug addiction
We present a mathematical model of relapse in drug addiction that draws on known psychiatric concepts such as the "positive activation; negative activation" paradigm and the "peak-end" rule to construct a relapse rate that depends on external factors (intensity and timing of life events) and individual traits (mental responses to these events). We analyze which combinations and ordering of stressors, cues and positive events lead to the largest relapse probability and propose interventions to minimize the likelihood of relapse. We find that the best protective factor is exposure to a mild, yet continuous, source of content...
Source: Mathematical Biosciences - April 6, 2024 Category: Statistics Authors: Sayun Mao Tom Chou Maria R D'Orsogna Source Type: research
A probabilistic model of relapse in drug addiction
We present a mathematical model of relapse in drug addiction that draws on known psychiatric concepts such as the "positive activation; negative activation" paradigm and the "peak-end" rule to construct a relapse rate that depends on external factors (intensity and timing of life events) and individual traits (mental responses to these events). We analyze which combinations and ordering of stressors, cues and positive events lead to the largest relapse probability and propose interventions to minimize the likelihood of relapse. We find that the best protective factor is exposure to a mild, yet continuous, source of content...
Source: Mathematical Biosciences - April 6, 2024 Category: Statistics Authors: Sayun Mao Tom Chou Maria R D'Orsogna Source Type: research
A mathematical model to study low-dose metronomic scheduling for chemotherapy
Math Biosci. 2024 Apr 3:109186. doi: 10.1016/j.mbs.2024.109186. Online ahead of print.ABSTRACTMetronomic chemotherapy refers to the frequent administration of chemotherapeutic agents at a lower dose and presents an attractive alternative to conventional chemotherapy with encouraging response rates. However, the schedule of the therapy, including the dosage of the drug, is usually based on empiricism. The confounding effects of tumor-endothelial-immune interactions during metronomic administration of drugs have not yet been explored in detail, resulting in an incomplete assessment of drug dose and frequency evaluations. The...
Source: Mathematical Biosciences - April 5, 2024 Category: Statistics Authors: Garhima Arora Nandadulal Bairagi Samrat Chatterjee Source Type: research
Modeling the synergistic interplay between malaria dynamics and economic growth
This study develops and analyzes a model to understand the interplay between malaria dynamics, economic growth, and transient events. It uncovers varied effects of malaria and economic parameters on model outcomes, highlighting the interdependence of the reproduction number (R0) on both malaria and economic factors, and a reciprocal relationship where malaria diminishes economic productivity, while higher economic output is associated with reduced malaria prevalence. This emphasizes the intricate interplay between malaria dynamics and socio-economic factors. The study offers insights into malaria control and underscores th...
Source: Mathematical Biosciences - April 5, 2024 Category: Statistics Authors: Calistus N Ngonghala Hope Enright Olivia Prosper Ruijun Zhao Source Type: research
A mathematical model to study low-dose metronomic scheduling for chemotherapy
Math Biosci. 2024 Apr 3:109186. doi: 10.1016/j.mbs.2024.109186. Online ahead of print.ABSTRACTMetronomic chemotherapy refers to the frequent administration of chemotherapeutic agents at a lower dose and presents an attractive alternative to conventional chemotherapy with encouraging response rates. However, the schedule of the therapy, including the dosage of the drug, is usually based on empiricism. The confounding effects of tumor-endothelial-immune interactions during metronomic administration of drugs have not yet been explored in detail, resulting in an incomplete assessment of drug dose and frequency evaluations. The...
Source: Mathematical Biosciences - April 5, 2024 Category: Statistics Authors: Garhima Arora Nandadulal Bairagi Samrat Chatterjee Source Type: research
Modeling the synergistic interplay between malaria dynamics and economic growth
This study develops and analyzes a model to understand the interplay between malaria dynamics, economic growth, and transient events. It uncovers varied effects of malaria and economic parameters on model outcomes, highlighting the interdependence of the reproduction number (R0) on both malaria and economic factors, and a reciprocal relationship where malaria diminishes economic productivity, while higher economic output is associated with reduced malaria prevalence. This emphasizes the intricate interplay between malaria dynamics and socio-economic factors. The study offers insights into malaria control and underscores th...
Source: Mathematical Biosciences - April 5, 2024 Category: Statistics Authors: Calistus N Ngonghala Hope Enright Olivia Prosper Ruijun Zhao Source Type: research
Mathematical model for IL-2-based cancer immunotherapy
Math Biosci. 2024 Apr 2:109187. doi: 10.1016/j.mbs.2024.109187. Online ahead of print.ABSTRACTA basic mathematical model for IL-2-based cancer immunotherapy is proposed and studied. Our analysis shows that the outcome of therapy is mainly determined by three parameters, the relative death rate of CD4+ T cells, the relative death rate of CD8+ T cells, and the dose of IL-2 treatment. Minimal equilibrium tumor size can be reached with a large dose of IL-2 in the case that CD4+ T cells die out. However, in cases where CD4+ and CD8+ T cells persist, the final tumor size is independent of the IL-2 dose and is given by the relati...
Source: Mathematical Biosciences - April 4, 2024 Category: Statistics Authors: Megan Dixon Tuan Anh Phan J C Dallon Jianjun Paul Tian Source Type: research
The dynamics of casual groups can keep free-riders at bay
Math Biosci. 2024 Apr 1:109188. doi: 10.1016/j.mbs.2024.109188. Online ahead of print.ABSTRACTUnderstanding the conditions for maintaining cooperation in groups of unrelated individuals despite the presence of non-cooperative members is a major research topic in contemporary biological, sociological, and economic theory. The N-person snowdrift game models the type of social dilemma where cooperative actions are costly, but there is a reward for performing them. We study this game in a scenario where players move between play groups following the casual group dynamics, where groups grow by recruiting isolates and shrink by ...
Source: Mathematical Biosciences - April 3, 2024 Category: Statistics Authors: Jos é F Fontanari Mauro Santos Source Type: research
The dynamics of casual groups can keep free-riders at bay
Math Biosci. 2024 Apr 1:109188. doi: 10.1016/j.mbs.2024.109188. Online ahead of print.ABSTRACTUnderstanding the conditions for maintaining cooperation in groups of unrelated individuals despite the presence of non-cooperative members is a major research topic in contemporary biological, sociological, and economic theory. The N-person snowdrift game models the type of social dilemma where cooperative actions are costly, but there is a reward for performing them. We study this game in a scenario where players move between play groups following the casual group dynamics, where groups grow by recruiting isolates and shrink by ...
Source: Mathematical Biosciences - April 3, 2024 Category: Statistics Authors: Jos é F Fontanari Mauro Santos Source Type: research
A stochastic model for neural progenitor dynamics in the mouse cerebral cortex
Math Biosci. 2024 Mar 30:109185. doi: 10.1016/j.mbs.2024.109185. Online ahead of print.ABSTRACTWe have designed a stochastic model of embryonic neurogenesis in the mouse cerebral cortex, using the formalism of compound Poisson processes. The model accounts for the dynamics of different progenitor cell types and neurons. The expectation and variance of the cell number of each type are derived analytically and illustrated through numerical simulations. The effects of stochastic transition rates between cell types, and stochastic duration of the cell division cycle have been investigated sequentially. The model does not only ...
Source: Mathematical Biosciences - April 1, 2024 Category: Statistics Authors: Fr édérique Clément Jules Olay é Source Type: research
