-
Does mutual interference stabilize prey–predator model with Bazykin–Crowley–Martin trophic function? Math. Biosci. (IF 4.3) Pub Date : 2024-04-16 Yuri Tyutyunov, Deeptajyoti Sen, Malay Banerjee
We investigated a system of ordinary differential equations that describes the dynamics of prey and predator populations, taking into account the Allee effect affecting the reproduction of the predator population, and mutual interference amongst predators, which is modeled with the Bazykin–Crowley–Martin (BCM) trophic function. Bifurcation analysis revealed a rich spectrum of bifurcations occurring
-
Comparing the long-term persistence of different Wolbachia strains after the release of bacteria-carrying mosquitoes Math. Biosci. (IF 4.3) Pub Date : 2024-04-15 Jose L. Orozco-Gonzales, Antone dos Santos Benedito, Daiver Cardona-Salgado, Claudia Pio Ferreira, Helenice de Oliveira Florentino, Lilian S. Sepulveda-Salcedo, Olga Vasilieva
This paper proposes a bidimensional modeling framework for invasion, assuming imperfect maternal transmission, incomplete cytoplasmic incompatibility, and direct infection loss due to thermal stress. Our model adapts to various strains and retains all properties of higher-dimensional models. The conditions for the durable coexistence of -carrying and wild mosquitoes are expressed using the model’s
-
A stochastic programming approach to the antibiotics time machine problem Math. Biosci. (IF 4.3) Pub Date : 2024-04-10 Oğuz Mesüm, Ali Rana Atilgan, Burak Kocuk
Antibiotics 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
-
A probabilistic model of relapse in drug addiction Math. Biosci. (IF 4.3) Pub Date : 2024-04-04 Sayun Mao, Tom Chou, Maria R. D’Orsogna
More than 60% of individuals recovering from substance use disorder relapse within one year. Some will resume drug consumption even after decades of abstinence. The cognitive and psychological mechanisms that lead to relapse are not completely understood, but stressful life experiences and external stimuli that are associated with past drug-taking are known to play a primary role. Stressors and cues
-
Modeling the synergistic interplay between malaria dynamics and economic growth Math. Biosci. (IF 4.3) Pub Date : 2024-04-03 Calistus N. Ngonghala, Hope Enright, Olivia Prosper, Ruijun Zhao
The mosquito-borne disease (malaria) imposes significant challenges on human health, healthcare systems, and economic growth/productivity in many countries. 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
-
A mathematical model to study low-dose metronomic scheduling for chemotherapy Math. Biosci. (IF 4.3) Pub Date : 2024-04-03 Garhima Arora, Nandadulal Bairagi, Samrat Chatterjee
Metronomic 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
-
The dynamics of casual groups can keep free-riders at bay Math. Biosci. (IF 4.3) Pub Date : 2024-04-02 José F. Fontanari, Mauro Santos
Understanding 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 -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
-
Mathematical model for IL-2-based cancer immunotherapy Math. Biosci. (IF 4.3) Pub Date : 2024-04-02 Megan Dixon, Tuan Anh Phan, J.C. Dallon, Jianjun Paul Tian
A 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 CD T cells, the relative death rate of CD 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 CD T cells die out. However
-
A stochastic model for neural progenitor dynamics in the mouse cerebral cortex Math. Biosci. (IF 4.3) Pub Date : 2024-03-30 Frédérique Clément, Jules Olayé
We 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
-
Formation of vascular-like structures using a chemotaxis-driven multiphase model Math. Biosci. (IF 4.3) Pub Date : 2024-03-28 Georgina al-Badri, James B. Phillips, Rebecca J. Shipley, Nicholas C. Ovenden
We propose a continuum model for pattern formation, based on the multiphase model framework, to explore cell patterning within an extracellular matrix (ECM). We demonstrate that, within this framework, chemotaxis-driven cell migration can lead to the formation of cell clusters and vascular-like structures in 1D and 2D respectively. The influence on pattern formation of additional mechanisms commonly
-
Modeling county level COVID-19 transmission in the greater St. Louis area: Challenges of uncertainty and identifiability when fitting mechanistic models to time-varying processes Math. Biosci. (IF 4.3) Pub Date : 2024-03-25 Praachi Das, Morganne Igoe, Alexanderia Lacy, Trevor Farthing, Archana Timsina, Cristina Lanzas, Suzanne Lenhart, Agricola Odoi, Alun L. Lloyd
We use a compartmental model with a time-varying transmission parameter to describe county level COVID-19 transmission in the greater St. Louis area of Missouri and investigate the challenges in fitting such a model to time-varying processes. We fit this model to synthetic and real confirmed case and hospital discharge data from May to December 2020 and calculate uncertainties in the resulting parameter
-
Unraveling the forces shaping foraging dynamics in harvester ant colonies: Recruitment efficiency and environmental variability Math. Biosci. (IF 4.3) Pub Date : 2024-03-22 Chenbo Liu, Tao Feng
The collective foraging behavior of ant colonies is a central focus in behavioral ecology. This paper enhances the classical model of foraging dynamics in harvester ant colonies by introducing a nonlinear recruitment rate and considering environmental variability. Initially, we analyze the existence and stability of steady states in the deterministic model. The results suggest that an increase in mean
-
Mathematical generation of data-driven hippocampal CA1 pyramidal neurons and interneurons copies via A-GLIF models for large-scale networks covering the experimental variability range Math. Biosci. (IF 4.3) Pub Date : 2024-03-21 A. Marasco, C. Tribuzi, A. Iuorio, M. Migliore
Efficient and accurate large-scale networks are a fundamental tool in modeling brain areas, to advance our understanding of neuronal dynamics. However, their implementation faces two key issues: computational efficiency and heterogeneity. Computational efficiency is achieved using simplified neurons, whereas there are no practical solutions available to solve the problem of reproducing in a large-scale
-
Modelling remission from overweight type 2 diabetes reveals how altering advice may counter relapse Math. Biosci. (IF 4.3) Pub Date : 2024-03-20 Catherine Z.W. Hassell Sweatman
The development or remission of diet-induced overweight type 2 diabetes involves many biological changes which occur over very different timescales. Remission, defined by , or fasting plasma glucose concentration mg/dl, may be achieved rapidly by following weight loss guidelines. However, remission is often short-term, followed by relapse. Mathematical modelling provides a way of investigating a typical
-
A mathematical model for the within-host (re)infection dynamics of SARS-CoV-2 Math. Biosci. (IF 4.3) Pub Date : 2024-03-13 Lea Schuh, Peter V. Markov, Vladimir M. Veliov, Nikolaos I. Stilianakis
Interactions between SARS-CoV-2 and the immune system during infection are complex. However, understanding the within-host SARS-CoV-2 dynamics is of enormous importance for clinical and public health outcomes. Current mathematical models focus on describing the within-host SARS-CoV-2 dynamics during the acute infection phase. Thereby they ignore important long-term post-acute infection effects. We
-
Mathematical modeling of combined therapies for treating tumor drug resistance Math. Biosci. (IF 4.3) Pub Date : 2024-03-11 Kangbo Bao, Guizhen Liang, Tianhai Tian, Xinan Zhang
Drug resistance is one of the most intractable issues to the targeted therapy for cancer diseases. To explore effective combination therapy schemes, we propose a mathematical model to study the effects of different treatment schemes on the dynamics of cancer cells. Then we characterize the dynamical behavior of the model by finding the equilibrium points and exploring their local stability. Lyapunov
-
Structural instability and linear allocation control in generalized models of substance use disorder Math. Biosci. (IF 4.3) Pub Date : 2024-03-02 Leigh B. Pearcy, Suzanne Lenhart, W. Christopher Strickland
Substance use disorder (SUD) is a complex disease involving nontrivial biological, psychological, environmental, and social factors. While many mathematical studies have proposed compartmental models for SUD, almost all of these exclusively model new cases as the result of an infectious process, neglecting any SUD that was primarily developed in social isolation. While these decisions were likely made
-
Selected aspects of avascular tumor growth reproduced by a hybrid model of cell dynamics and chemical kinetics Math. Biosci. (IF 4.3) Pub Date : 2024-02-24 Marco Scianna
We here propose a hybrid computational framework to reproduce and analyze aspects of the avascular progression of a generic solid tumor. Our method first employs an individual-based approach to represent the population of tumor cells, which are distinguished in viable and necrotic agents. The active part of the disease is in turn differentiated according to a set of metabolic states. We then describe
-
About contamination by sterile females and residual male fertility on the effectiveness of the sterile insect technique. Impact on disease vector control and disease control Math. Biosci. (IF 4.3) Pub Date : 2024-02-20 Y. Dumont, I.V. Yatat-Djeumen
The sterile insect technique (SIT) is a technique to control pests and vectors of diseases by releasing mainly sterile males. Several challenges need to be solved before large-scale field application in order to guarantee its success. In this paper we intend to focus on two important issues: residual fertility in released (sterile) males and contamination of each release by sterile females. Indeed
-
Quantifying collective motion patterns in mesenchymal cell populations using topological data analysis and agent-based modeling Math. Biosci. (IF 4.3) Pub Date : 2024-02-17 Kyle C. Nguyen, Carter D. Jameson, Scott A. Baldwin, John T. Nardini, Ralph C. Smith, Jason M. Haugh, Kevin B. Flores
Fibroblasts in a confluent monolayer are known to adopt elongated morphologies in which cells are oriented parallel to their neighbors. We collected and analyzed new microscopy movies to show that confluent fibroblasts are motile and that neighboring cells often move in anti-parallel directions in a collective motion phenomenon we refer to as “fluidization” of the cell population. We used machine learning
-
-
Effects of bursty synthesis in organelle biogenesis Math. Biosci. (IF 4.3) Pub Date : 2024-02-10 Binayak Banerjee, Dipjyoti Das
A fundamental question of cell biology is how cells control the number of organelles. The processes of organelle biogenesis, namely synthesis, fission, fusion, and decay, are inherently stochastic, producing cell-to-cell variability in organelle abundance. In addition, experiments suggest that the synthesis of some organelles can be bursty. We thus ask how bursty synthesis impacts intracellular organelle
-
Food-limited plant–herbivore model: Bifurcations, persistence, and stability Math. Biosci. (IF 4.3) Pub Date : 2024-02-06 E. Bešo, S. Kalabušić, E. Pilav
This research paper delves into the two-dimensional discrete plant–herbivore model. In this model, herbivores are food-limited and affect the plants’ density in their environment. Our analysis reveals that this system has equilibrium points of extinction, exclusion, and coexistence. We analyze the behavior of solutions near these points and prove that the extinction and exclusion equilibrium points
-
Dynamic behaviors of a stochastic virus infection model with Beddington–DeAngelis incidence function, eclipse-stage and Ornstein–Uhlenbeck process Math. Biosci. (IF 4.3) Pub Date : 2024-01-29 Yuncong Liu, Yan Wang, Daqing Jiang
In this paper, we present a virus infection model that incorporates eclipse-stage and Beddington–DeAngelis function, along with perturbation in infection rate using logarithmic Ornstein–Uhlenbeck process. Rigorous analysis demonstrates that the stochastic model has a unique global solution. Through construction of appropriate Lyapunov functions and a compact set, combined with the strong law of numbers
-
Delay epidemic models determined by latency, infection, and immunity duration Math. Biosci. (IF 4.3) Pub Date : 2024-02-03 Masoud Saade, Samiran Ghosh, Malay Banerjee, Vitaly Volpert
We propose new single and two-strain epidemic models represented by systems of delay differential equations and based on the number of newly exposed individuals. Transitions between exposed, infectious, recovered, and back to susceptible compartments are determined by the corresponding time delays. Existence and positiveness of solutions are proved. Reduction of delay differential equations to integral
-
-
The impact of water storage capacity on plant dynamics in arid environments: A stoichiometric modeling approach Math. Biosci. (IF 4.3) Pub Date : 2024-01-22 Cuihua Wang, Sanling Yuan, Hao Wang
Plants in arid environments have evolved many strategies to resist drought. Among them, the developed water storage tissue is an essential characteristic of xerophytes. To clarify the role of water storage capacity in plant performance, we originally formulate a stoichiometric model to describe the interaction between plants and water with explicit water storage. Via an ecological reproductive index
-
The impact of radio-chemotherapy on tumour cells interaction with optimal control and sensitivity analysis Math. Biosci. (IF 4.3) Pub Date : 2024-01-19 Arjun Kumar, Uma S. Dubey, Balram Dubey
Oncologists and applied mathematicians are interested in understanding the dynamics of cancer-immune interactions, mainly due to the unpredictable nature of tumour cell proliferation. In this regard, mathematical modelling offers a promising approach to comprehend this potentially harmful aspect of cancer biology. This paper presents a novel dynamical model that incorporates the interactions between
-
Virus-mediated cell fusion of SARS-CoV-2 variants Math. Biosci. (IF 4.3) Pub Date : 2024-01-13 Ava Amidei, Hana M. Dobrovolny
SARS-CoV-2 has the ability to form large multi-nucleated cells known as syncytia. Little is known about how syncytia affect the dynamics of the infection or severity of the disease. In this manuscript, we extend a mathematical model of cell–cell fusion assays to estimate both the syncytia formation rate and the average duration of the fusion phase for five strains of SARS-CoV-2. We find that the original
-
Safe optimal control of cancer using a Control Barrier Function technique Math. Biosci. (IF 4.3) Pub Date : 2024-01-11 Zahra Ahmadi, Abolhassan Razminia
This paper addresses the problem of designing a safe and optimal control strategy for typical cancer using the Control Barrier Function (CBF) technique. Cancer is a complex and highly dynamic disease characterized by uncontrolled cell growth and proliferation. By formulating the cancer dynamics as a control system, this study introduces a CBF-based controller that guides the cancerous tissue towards
-
Dynamics aspects and bifurcations of a tumor-immune system interaction under stationary immunotherapy Math. Biosci. (IF 4.3) Pub Date : 2024-01-15 Gladis Torres-Espino, Claudio Vidal
We consider a three-dimensional mathematical model that describes the interaction between the effector cells, tumor cells, and the cytokine (IL-2) of a patient. This is called the Kirschner–Panetta model. Our objective is to explain the tumor oscillations in tumor sizes as well as long-term tumor relapse. We then explore the effects of adoptive cellular immunotherapy on the model and describe under
-
Partial mean-field model for neurotransmission dynamics Math. Biosci. (IF 4.3) Pub Date : 2024-01-12 Alberto Montefusco, Luzie Helfmann, Toluwani Okunola, Stefanie Winkelmann, Christof Schütte
This article addresses reaction networks in which spatial and stochastic effects are of crucial importance. For such systems, particle-based models allow us to describe all microscopic details with high accuracy. However, they suffer from computational inefficiency if particle numbers and density get too large. Alternative coarse-grained-resolution models reduce computational effort tremendously, e
-
A stochastic framework for evaluating CAR T cell therapy efficacy and variability Math. Biosci. (IF 4.3) Pub Date : 2024-01-06 Chau Hoang, Tuan Anh Phan, Cameron J. Turtle, Jianjun Paul Tian
Based on a deterministic and stochastic process hybrid model, we use white noises to account for patient variabilities in treatment outcomes, use a hyperparameter to represent patient heterogeneity in a cohort, and construct a stochastic model in terms of Ito stochastic differential equations for tesing the efficacy of three different treatment protocols in CAR T cell therapy. The stochastic model
-
-
Mycoloop: Modeling phytoplankton–chytrid–zooplankton interactions in aquatic food webs Math. Biosci. (IF 4.3) Pub Date : 2023-12-28 Ming Chen, Honghui Gao, Jimin Zhang
A dynamic model is proposed to describe a mycoloop in aquatic food webs. The model consists of phytoplankton, chytrids and zooplankton. It characterizes that zooplankton consume both phytoplankton and free-living chytrid spores, and that chytrids infect phytoplankton. The dynamics of the model are investigated containing the dissipativity, existence and stability of equilibria, and persistence. The
-
Controlling smoking: A smoking epidemic model with different smoking degrees in deterministic and stochastic environments Math. Biosci. (IF 4.3) Pub Date : 2023-12-19 Shengqiang Zhang, Yanling Meng, Amit Kumar Chakraborty, Hao Wang
Engaging in smoking not only leads to substantial health risks but also imposes considerable financial burdens. To deepen our understanding of the mechanisms behind smoking transmission and to address the tobacco epidemic, we examined a five-dimensional smoking epidemic model that accounts for different degrees of smoking under both deterministic and stochastic conditions. In the deterministic case
-
Travelling waves due to negative plant–soil feedbacks in a model including tree life-stages Math. Biosci. (IF 4.3) Pub Date : 2023-12-20 Annalisa Iuorio, Mara Baudena, Maarten B. Eppinga, Francesco Giannino, Max Rietkerk, Frits Veerman
The emergence and maintenance of tree species diversity in tropical forests is commonly attributed to the Janzen–Connell (JC) hypothesis, which states that growth of seedlings is suppressed in the proximity of conspecific adult trees. As a result, a JC distribution due to a density-dependent negative feedback emerges in the form of a (transient) pattern where conspecific seedling density is highest
-
Modeling the impact of hospital beds and vaccination on the dynamics of an infectious disease Math. Biosci. (IF 4.3) Pub Date : 2023-12-23 Jyoti Maurya, Konstantin B. Blyuss, A.K. Misra
The unprecedented scale and rapidity of dissemination of re-emerging and emerging infectious diseases impose new challenges for regulators and health authorities. To curb the dispersal of such diseases, proper management of healthcare facilities and vaccines are core drivers. In the present work, we assess the unified impact of healthcare facilities and vaccination on the control of an infectious disease
-
Processes governing species richness in communities exposed to temporal environmental stochasticity: A review and synthesis of modelling approaches Math. Biosci. (IF 4.3) Pub Date : 2023-12-17 Tak Fung, Jayant Pande, Nadav M. Shnerb, James P. O'Dwyer, Ryan A. Chisholm
Research into the processes governing species richness has often assumed that the environment is fixed, whereas realistic environments are often characterised by random fluctuations over time. This temporal environmental stochasticity (TES) changes the demographic rates of species populations, with cascading effects on community dynamics and species richness. Theoretical and applied studies have used
-
Effect of avian influenza scare on transmission of zoonotic avian influenza: A case study of influenza A (H7N9) Math. Biosci. (IF 4.3) Pub Date : 2023-12-10 Liu Yang, Meng Fan, Youming Wang, Xiangdong Sun, Huaiping Zhu
Avian influenza scare is a human psychological factor that asserts both positive and negative effects on the transmission of zoonotic avian influenza. In order to study the dichotomous effect of avian influenza scare on disease transmission, taking H7N9 avian influenza as a typical case, a two-patch epidemic model is proposed. The global dynamics and the threshold criteria are established by LaSalle
-
Different routes of infection of H5N1 lead to changes in infecting time Math. Biosci. (IF 4.3) Pub Date : 2023-12-13 Ishaan Gadiyar, Hana M. Dobrovolny
Influenza virus infection can result in a wide range of clinical outcomes from asymptomatic infection to severe disease and death. While there are undoubtedly many factors that contribute to the severity of disease, one possible contributing factor that needs more investigation is the route of infection. In this study, we use previously published data from cynomolgus macaques infected with A/Vietnam/1203/04
-
Population dynamics of a stoichiometric aquatic tri-trophic level model with fear effect Math. Biosci. (IF 4.3) Pub Date : 2023-12-14 Pingping Cong, Meng Fan, Xingfu Zou
In this paper, a stoichiometric aquatic tri-trophic level model is proposed and analyzed, which incorporates the effect of light and phosphorus, as well as the fear effect in predator–prey interactions. The analysis of the model includes the dissipativity and the existence and stability of equilibria. The influence of environmental factors and fear effect on the dynamics of the system is particularly
-
A non local model for cell migration in response to mechanical stimuli Math. Biosci. (IF 4.3) Pub Date : 2023-12-10 Roberto Marchello, Annachiara Colombi, Luigi Preziosi, Chiara Giverso
Cell migration is one of the most studied phenomena in biology since it plays a fundamental role in many physiological and pathological processes such as morphogenesis, wound healing and tumorigenesis. In recent years, researchers have performed experiments showing that cells can migrate in response to mechanical stimuli of the substrate they adhere to. Motion towards regions of the substrate with
-
Extinction in host-vector infection models and the role of heterogeneity Math. Biosci. (IF 4.3) Pub Date : 2023-12-07 Damian Clancy, John J.H. Stewart
For infections that become endemic in a population, the process may appear stable over a long time scale, but stochastic fluctuations can lead to eventual disease extinction. We consider the effects of model parameters and of population heterogeneities upon the expected time to extinction for host-vector disease systems. We find that non-homogeneous host selection by vectors increases persistence times
-
Phase separation reduces cell-to-cell variability of translational bursting Math. Biosci. (IF 4.3) Pub Date : 2023-12-07 Lijun Hong, Zihao Wang, Zhenquan zhang, Songhao Luo, Tianshou Zhou, Jiajun Zhang
Gene expression is a stochastic and noisy process often occurring in "bursts". Experiments have shown that the compartmentalization of proteins by liquid-liquid phase separation is conducive to reducing the noise of gene expression. Therefore, an important goal is to explore the role of bursts in phase separation noise reduction processes. We have established a coupled model that includes phase separation
-
A class of statistical models for the motion of Daphnia over small time scales Math. Biosci. (IF 4.3) Pub Date : 2023-12-09 David A. Spade, Imani Aliyu, Jules van Horen, J.R. Strickler
A common question in the aquatic sciences is that of how zooplankter movement can be modeled. It is well-established in the literature that there exists a randomness to this movement, but the question is how to characterize this randomness. The most common methods for doing this involve the random walk and correlated random walk (CRW) models. Here, we present a time series model that allows a better
-
A pore-scale reactive transport modeling study for quorum sensing-driven biofilm dispersal in heterogeneous porous media Math. Biosci. (IF 4.3) Pub Date : 2023-12-07 Heewon Jung
Microorganisms regulate the expression of energetically expensive phenotypes via a collective decision-making mechanism known as quorum sensing (QS). This study investigates the intricate dynamics of biofilm growth and QS-controlled biofilm dispersal in heterogeneous porous media, employing a pore-scale reactive transport modeling approach. Model simulations carried out under various fluid flow conditions
-
Periodic insulin stimulation of Akt: Dynamic steady states and robustness Math. Biosci. (IF 4.3) Pub Date : 2023-12-04 Catheryn W. Gray, Adelle C.F. Coster
The periodic secretion of insulin is a salient feature of the blood glucose control system in vivo. Insulin levels in the blood exhibit oscillations on multiple time scales – rapid, ultradian, and circadian – and the improved metabolic regulation resulting from pulsatile insulin release has been well established. Although numerous mathematical models investigating the causal mechanisms of insulin oscillations
-
A stochastic differential equation model for predator-avoidance fish schooling Math. Biosci. (IF 4.3) Pub Date : 2023-12-01 Aditya Dewanto Hartono, Linh Thi Hoai Nguyen, Tôn Việt Tạ
This paper presents a mathematical model based on stochastic differential equations (SDEs) to depict the dynamics of a predator–prey system in an aquatic environment characterized by schooling behavior among the prey. The model employs a particle-like approach, incorporating attractive and repulsive forces, akin to phenomena observed in molecular physics, to capture the interactions among the constituent
-
A local polynomial moment approximation for compartmentalized biochemical systems Math. Biosci. (IF 4.3) Pub Date : 2023-11-28 Tommaso Bianucci, Christoph Zechner
Compartmentalized biochemical reactions are a ubiquitous building block of biological systems. The interplay between chemical and compartmental dynamics can drive rich and complex dynamical behaviors that are difficult to analyze mathematically — especially in the presence of stochasticity. We have recently proposed an effective moment equation approach to study the statistical properties of compartmentalized
-
Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis Math. Biosci. (IF 4.3) Pub Date : 2023-11-22 Jorge A. Alfaro-Murillo, Jeffrey P. Townsend
Cancer occurs as a consequence of multiple somatic mutations that lead to uncontrolled cell growth. Mutual exclusivity and co-occurrence of mutations imply—but do not prove—that mutations exert synergistic or antagonistic epistatic effects on oncogenesis. Knowledge of these interactions, and the consequent trajectories of mutation and selection that lead to cancer has been a longstanding goal within
-
Overcoming the impossibility of age-balanced harvest Math. Biosci. (IF 4.3) Pub Date : 2023-11-22 Jerzy A. Filar, Matthew H. Holden, Manuela Mendiolar, Sabrina H. Streipert
In many countries, sustainability targets for managed fisheries are often expressed in terms of a fixed percentage of the carrying capacity. Despite the appeal of such a simple quantitative target, an unintended consequence may be a significant tilting of the proportions of biomass across different ages, from what they would have been under harvest-free conditions. Within the framework of a widely
-
Vaccination compartmental epidemiological models for the delta and omicron SARS-CoV-2 variants Math. Biosci. (IF 4.3) Pub Date : 2023-11-18 J. Cuevas-Maraver, P.G. Kevrekidis, Q.Y. Chen, G.A. Kevrekidis, Y. Drossinos
We explore the inclusion of vaccination in compartmental epidemiological models concerning the delta and omicron variants of the SARS-CoV-2 virus that caused the COVID-19 pandemic. We expand on our earlier compartmental-model work by incorporating vaccinated populations. We present two classes of models that differ depending on the immunological properties of the variant. The first one is for the delta
-
A model for voles interference in cultivated orchards Math. Biosci. (IF 4.3) Pub Date : 2023-11-07 Alberto Viscardi, Sandro Bertolino, Ezio Venturino
We 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
-
Edge-based compartmental modeling for the spread of cholera on random networks: A case study in Somalia Math. Biosci. (IF 4.3) Pub Date : 2023-11-03 Xinxin Cheng, Yi Wang, Gang Huang
Cholera 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
-
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets Math. Biosci. (IF 4.3) Pub Date : 2023-11-07 Julian Fox, Breschine Cummins, Robert C. Moseley, Marcio Gameiro, Steven B. Haase
Modeling 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
-
Nonlinear control designs and their application to cancer differentiation therapy Math. Biosci. (IF 4.3) Pub Date : 2023-11-07 Yen-Che Hsiao, Abhishek Dutta
We 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
-
Investigating tumor-host response dynamics in preclinical immunotherapy experiments using a stepwise mathematical modeling strategy Math. Biosci. (IF 4.3) Pub Date : 2023-11-04 Angela M. Jarrett, Patrick N. Song, Kirsten Reeves, Ernesto A.B.F. Lima, Benjamin Larimer, Thomas E. Yankeelov, Anna G. Sorace
Immunotherapies 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
-
A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells Math. Biosci. (IF 4.3) Pub Date : 2023-10-31 Miguel Castillo García, Eugenio Urdapilleta
In 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
-
Hypergraphs and centrality measures identifying key features in gene expression data Math. Biosci. (IF 4.3) Pub Date : 2023-10-31 Samuel Barton, Zoe Broad, Daniel Ortiz-Barrientos, Diane Donovan, James Lefevre
Multidisciplinary approaches can significantly advance our understanding of complex systems. For instance, gene co-expression networks align prior knowledge of biological systems with studies in graph theory, emphasising pairwise gene to gene interactions. In this paper, we extend these ideas, promoting hypergraphs as an investigative tool for studying multi-way interactions in gene expression data