相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。
Review
Biology
Paul M. Kulesa et al.
Summary: Cell invasion and cell plasticity play crucial roles in human development and cancer metastasis, involving complex cell signaling and interactive behaviors. Researchers have recognized the importance of mathematics in biology and developed a unique mathematical strategy to address these complex biological questions.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Sebastian Anita et al.
Summary: The research presents a simple model to describe the spread of Olive Quick Decline Syndrome and identifies possible strategies to control the epidemic. Numerical simulations support the model, showing that removing weed biomass and adopting more resistant olive tree cultivars can be effective control measures.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Sungrim Seirin-Lee
Summary: This study explored the interaction between cytoplasmic MEX-5/6 polarity and membrane PAR polarity by developing a mathematical model that integrates their dynamics and reflects cell geometry. The results showed that the downstream cytoplasmic protein MEX-5/6 plays a crucial role in generating a strong upstream PAR polarity, highlighting the importance of understanding their interplay, including the influence of cell geometry, in studying polarity formation during asymmetric cell division.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
James Sneyd et al.
Summary: Saliva is secreted from the acinar cells of the salivary glands in a mechanism similar to other water-transporting epithelial cells. Over the past 20 years, a quantitative model of saliva secretion has been continuously developed and modified, with a focus on the control by intracellular calcium dynamics. Recent advancements in understanding the underlying mechanisms have led to important modifications to the traditional view of saliva secretion.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Christopher P. Kempes et al.
Summary: The article discusses the application of research on elemental ratios of life forms to astrobiology, including predicting variations in elemental ratios in different environments and exploring the possibility of extending physiological models for future astrobiological applications.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Thomas E. Woolley et al.
Summary: The translation discusses the parameters and processes involved in pattern formation in reaction-diffusion systems.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Dean Koch et al.
Summary: The mountain pine beetle is a destructive forest pest in North America, with an increasing frequency and severity of outbreaks prompting interest in its population ecology. Modern approaches involve analyzing large-scale datasets and developing new modeling tools to address challenges associated with large sample sizes and spatial effects. Research has focused on using separable kernels to address computational challenges in dispersal and spatial autocorrelation of the MPB.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Nicholas F. Britton et al.
Summary: The study of viral diseases in honey bees requires consideration of infection statuses, including covert infections, acutely overt infections, and chronically overt infections. It is also important to focus on the infection statuses of vectors in order to fully understand the dynamics of disease transmission.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Ben Levy et al.
Summary: Stigma towards people living with HIV/AIDS has hindered global response to the disease, with internalized and enacted stigma being key components. Particularly high in sub-Saharan Africa, stigma has contributed to a surge in cases in countries like Kenya. Efforts to eliminate stigma have improved perceptions over time, but HIV/AIDS remains a significant problem, prompting analysis of different interventions and goals for the future.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
A. C. Fowler
Summary: This paper addresses the issue of extinction in continuous population dynamics models with small numbers of individuals. It discusses extinction in the context of a stochastic logistic model, provides examples of 'small number dynamics,' such as the 'atto-fox' and 'frogspawn' problems, and proposes modeling solutions to address these issues.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Gigi Lui et al.
Summary: The development of atherosclerotic plaques and their impact on heart attacks and strokes are complex processes that involve lipid dynamics and macrophage behavior. The proposed ODE model explores the dynamics of lipids and macrophages in plaque formation.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Chiara Villa et al.
Summary: Mechanical and mechanochemical models of pattern formation in biological tissues, considering different stress-strain constitutive equations for the ECM, reveal that fluid-like constitutive models such as Maxwell and Jeffrey models have higher pattern formation potential compared to solid-like models like Kelvin-Voigt and standard linear solid models. This finding suggests the importance of acquiring detailed quantitative information on the mechanical properties of ECM components in various biological tissues to improve the accuracy of mechanical models in representing tissue rheology.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Jonathan A. Sherratt et al.
Summary: The study proposes a generalized model for pattern formation in ecosystems, integrating two types of within-patch feedback mechanisms: growth amplification and reduction of losses. Results show significant differences between the patterns generated by the two mechanisms, particularly in terms of biomass distribution and resilience to disturbances.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Jay A. Stotsky et al.
Summary: The biological processes that drive the development and survival of organisms are heavily influenced by transport properties of biologically active species across different temporal and spatial scales. This study employs multistate continuous-time random walks and generalized master equations to model complex transport processes involving spatial jumps and internal state changes, with the goal of understanding macroscopic transport coefficients in terms of microscale properties. The results of this work have broad applications beyond biological tissue transport, offering insights into a diverse range of problems.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biology
Tyler Cassidy et al.
BULLETIN OF MATHEMATICAL BIOLOGY
(2020)
Article
Biology
Lee Curtin et al.
BULLETIN OF MATHEMATICAL BIOLOGY
(2020)
Review
Clinical Neurology
KR Swanson et al.
JOURNAL OF THE NEUROLOGICAL SCIENCES
(2003)
Article
Oncology
KR Swanson et al.
BRITISH JOURNAL OF CANCER
(2002)
Article
Cell Biology
KR Swanson et al.
CELL PROLIFERATION
(2000)
Article
Biology
PW Nelson et al.
MATHEMATICAL BIOSCIENCES
(2000)
