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  1. Reconstructing the Last Common Ancestor: Epistemological and Empirical Challenges.Arturo Becerra, Edna Suárez-Díaz & Amadeo Estrada - 2022 - Acta Biotheoretica 70 (2).
    Reconstructing the genetic traits of the Last Common Ancestor and the Tree of Life are two examples of the reaches of contemporary molecular phylogenetics. Nevertheless, the whole enterprise has led to paradoxical results. The presence of Lateral Gene Transfer poses epistemic and empirical challenges to meet these goals; the discussion around this subject has been enriched by arguments from philosophers and historians of science. At the same time, a few but influential research groups have aimed to reconstruct the LCA with (...)
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  2. Mathematical Analysis of Membrane Transporters Dynamics: A Calcium Fluxes Case Study.B. Constantin, R. Guillevin, A. Miranville, N. Deliot & A. Perrillat-Mercerot - 2022 - Acta Biotheoretica 70 (2).
    A tight control of intracellular [Ca2+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^{2+}$$\end{document}] is essential for the survival and normal function of cells. In this study we investigate key mechanistic steps by which calcium is regulated and calcium oscillations could occur using in silico modeling of membrane transporters. To do so we give a deterministic description of intracellular Ca2+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^{2+}$$\end{document} dynamics using nonlinear dynamics in order to understand Ca2+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} (...)
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  3.  1
    Finding or Creating a Living Organism? Past and Future Thought Experiments in Astrobiology Applied to Artificial Intelligence.Daniel S. Helman - 2022 - Acta Biotheoretica 70 (2).
    This is a digest of how various researchers in biology and astrobiology have explored questions of what defines living organisms—definitions based on functions or structures observed in organisms, or on systems terms, or on mathematical conceptions like closure, chirality, quantum mechanics and thermodynamics, or on biosemiotics, or on Darwinian evolution—to clarify the field and make it easier for endeavors in artificial intelligence to make progress. Current ideas are described to promote work between astrobiologists and computer scientists, each concerned with living (...)
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  4.  16
    Nonlocal Reaction–Diffusion Equations in Biomedical Applications.V. Volpert, O. Udovenko, M. Kuznetsov & M. Banerjee - 2022 - Acta Biotheoretica 70 (2).
    Nonlocal reaction–diffusion equations describe various biological and biomedical applications. Their mathematical properties are essentially different in comparison with the local equations, and this difference can lead to important biological implications. This review will present the state of the art in the investigation of nonlocal reaction–diffusion models in biomedical applications. We will consider various models arising in mathematical immunology, neuroscience, cancer modelling, and we will discuss their mathematical properties, nonlinear dynamics, resulting spatiotemporal patterns and biological significance.
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  5. The Hybrid Incidence Susceptible-Transmissible-Removed Model for Pandemics: Scaling Time to Predict an Epidemic’s Population Density Dependent Temporal Propagation.Ryan Lester Benjamin - 2022 - Acta Biotheoretica 70 (1).
    The susceptible-transmissible-removed model is a deterministic compartment model, based on the susceptible-infected-removed prototype. The STR replaces 2 SIR assumptions. SIR assumes that the emigration rate is directly proportional to the infected compartment’s size. The STR replaces this assumption with the biologically appropriate assumption that the emigration rate is the same as the immigration rate one infected period ago. This results in a unique delay differential equation epidemic model with the delay equal to the infected period. Hamer’s mass action law for (...)
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  6.  1
    The $$a$$-Wave of the Electroretinogram and Iron-Induced Oxidative Stress: A Model.Deepak K. Pattanaik, Amir Prasad Sahu, Vasudevan Lakshminarayanan & Nachieketa K. Sharma - 2022 - Acta Biotheoretica 70 (1).
    In photoreceptors of a dark adapted eye, the inward flux of sodium and calcium ions in the outer segment is balanced by the outward flux of potassium ions. But in the presence of light the creation of cyclic guanosine monophosphate in the outer segment decreases. Due to low concentration of cG the channels in the outer segment open relatively less and thus the influx of calcium ion decreases, leading finally to hyperpolarization of the photoreceptors. We have analyzed theoretically the effect (...)
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  7.  1
    Qualitative and Dynamical Analysis of a Bionomic Fishery Model with Prey Refuge.B. P. Sarangi & S. N. Raw - 2022 - Acta Biotheoretica 70 (1).
    Predation and escaping from predation through hiding are two fundamental phenomena in ecology. The most common approach to reducing the chance of predation is to use a refuge. Here, we consider a three species fishery model system with prey refuge induced by a Holling type-II functional response. These three species of fish populations are named prey, middle predator, and top predator. Harvesting is employed in most fishery models to achieve both ecological and commercial benefits. Research proves that non-linear harvesting returns (...)
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    A Mathematical Model of the Transmission Dynamics of Bovine Schistosomiasis with Contaminated Environment.Jean M. Tchuenche, Shirley Abelman & Solomon Kadaleka - 2022 - Acta Biotheoretica 70 (1).
    Schistosomiasis, a vector-borne chronically debilitating infectious disease, is a serious public health concern for humans and animals in the affected tropical and sub-tropical regions. We formulate and theoretically analyze a deterministic mathematical model with snail and bovine hosts. The basic reproduction number R0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R_0$$\end{document} is computed and used to investigate the local stability of the model’s steady states. Global stability of the endemic equilibrium is carried out by constructing a suitable Lyapunov function. (...)
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