Solomon Kadaleka, Shirley Abelman, Jean M. Tchuenche
{"title":"A Human-Bovine Schistosomiasis Mathematical Model with Treatment and Mollusciciding","authors":"Solomon Kadaleka, Shirley Abelman, Jean M. Tchuenche","doi":"10.1007/s10441-021-09416-0","DOIUrl":"10.1007/s10441-021-09416-0","url":null,"abstract":"<div><p>To mitigate the spread of schistosomiasis, a deterministic human-bovine mathematical model of its transmission dynamics accounting for contaminated water reservoirs, including treatment of bovines and humans and mollusciciding is formulated and theoretically analyzed. The disease-free equilibrium is locally and globally asymptotically stable whenever the basic reproduction number <span>(R_0<1)</span>, while global stability of the endemic equilibrium is investigated by constructing a suitable Lyapunov function. To support the analytical results, parameter values from published literature are used for numerical simulations and where applicable, uncertainty analysis on the non-dimensional system parameters is performed using the Latin Hypercube Sampling and Partial Rank Correlation Coefficient techniques. Sensitivity analysis to determine the relative importance of model parameters to disease transmission shows that the environment-related parameters namely, <span>(varepsilon _s)</span> (snails shedding rate of cercariae), <span>(p_s)</span> (probability that cercariae shed by snails survive), <i>c</i> (fraction of the contaminated environment sprayed by molluscicides) and <span>(mu _c)</span> (mortality rate of cercariae) are the most significant to mitigate the spread of schistosomiasis. Mollusciciding, which directly impacts the contaminated environment as a single control strategy is more effective compared to treatment. However, concurrently applying mollusciciding and treatment will yield a better outcome.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"69 4","pages":"511 - 541"},"PeriodicalIF":1.3,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10441-021-09416-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39122894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"How Do Trees Grow in Girth? Controversy on the Role of Cellular Events in the Vascular Cambium","authors":"Anna Wilczek-Ponce, Wiesław Włoch, Muhammad Iqbal","doi":"10.1007/s10441-021-09418-y","DOIUrl":"10.1007/s10441-021-09418-y","url":null,"abstract":"<div><p>Radial growth has long been a subject of interest in tree biology research. Recent studies have brought a significant change in the understanding of some basic processes characteristic to the vascular cambium, a meristem that produces secondary vascular tissues (phloem and xylem) in woody plants. A new hypothesis regarding the mechanism of intrusive growth of the cambial initials, which has been ratified by studies of the arrangement of cambial cells, negates the influence of this apical cell growth on the expansion of the cambial circumference. Instead, it suggests that the tip of the elongating cambial initial intrudes between the tangential (periclinal) walls, rather than the radial (anticlinal) walls, of the initial(s) and its(their) derivative(s) lying ahead of the elongating cell tip. The new concept also explains the hitherto obscure mechanism of the cell event called ‘elimination of initials’. This article evaluates these new concepts of the cambial cell dynamics and offers a new interpretation for some curious events occurring in the cambial meristem in relation to the radial growth in woody plants.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"69 4","pages":"643 - 670"},"PeriodicalIF":1.3,"publicationDate":"2021-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10441-021-09418-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39251752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Effect of Mitochondrial DNA Half-Life on Deletion Mutation Proliferation in Long Lived Cells","authors":"Alan G. Holt, Adrian M. Davies","doi":"10.1007/s10441-021-09417-z","DOIUrl":"10.1007/s10441-021-09417-z","url":null,"abstract":"<div><p>The proliferation of mitochondrial DNA (mtDNA) with deletion mutations has been linked to aging and age related neurodegenerative conditions. In this study we model the effect of mtDNA half-life on mtDNA competition and selection. It has been proposed that mutation deletions (<span>(text {mtDNA}_{del})</span>) have a replicative advantage over wild-type (<span>(text {mtDNA}_{wild})</span>) and that this is detrimental to the host cell, especially in post-mitotic cells. An individual cell can be viewed as forming a closed ecosystem containing a large population of independently replicating mtDNA. Within this enclosed environment a selfishly replicating <span>(text {mtDNA}_{del})</span> would compete with the <span>(text {mtDNA}_{wild})</span> for space and resources to the detriment of the host cell. In this paper, we use a computer simulation to model cell survival in an environment where <span>(text {mtDNA}_{wild})</span> compete with <span>(text {mtDNA}_{del})</span> such that the cell expires upon <span>(text {mtDNA}_{wild})</span> extinction. We focus on the survival time for long lived post-mitotic cells, such as neurons. We confirm previous observations that <span>(text {mtDNA}_{del})</span> do have a replicative advantage over <span>(text {mtDNA}_{wild})</span>. As expected, cell survival times diminished with increased mutation probabilities, however, the relationship between survival time and mutation rate was non-linear, that is, a ten-fold increase in mutation probability only halved the survival time. The results of our model also showed that a modest increase in half-life had a profound affect on extending cell survival time, thereby, mitigating the replicative advantage of <span>(text {mtDNA}_{del})</span>. Given the relevance of mitochondrial dysfunction to various neurodegenerative conditions, we propose that therapies to increase mtDNA half-life could significantly delay their onset.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"69 4","pages":"671 - 695"},"PeriodicalIF":1.3,"publicationDate":"2021-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10441-021-09417-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39234655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Correction to: Biology and Pragmatism: The Organism-Environment Bond","authors":"David Depew","doi":"10.1007/s10441-021-09414-2","DOIUrl":"10.1007/s10441-021-09414-2","url":null,"abstract":"","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"69 4","pages":"887 - 887"},"PeriodicalIF":1.3,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10441-021-09414-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50002341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. P. Silva, C. G. Rodrigues, W. A. Varanda, R. A. Nogueira
{"title":"Memory in Ion Channel Kinetics","authors":"M. P. Silva, C. G. Rodrigues, W. A. Varanda, R. A. Nogueira","doi":"10.1007/s10441-021-09415-1","DOIUrl":"10.1007/s10441-021-09415-1","url":null,"abstract":"<div><p>Ion channels are transport proteins present in the lipid bilayers of biological membranes. They are involved in many physiological processes, such as the generation of nerve impulses, hormonal secretion, and heartbeat. Conformational changes in the ion channel-forming protein allow the opening or closing of pores to control the ionic flux through the cell membranes. The opening and closing of the ion channel have been classically treated as a random kinetic process, known as a Markov process. Here the time the channel remains in a given state is assumed to be independent of the condition it had in the previous state. More recently, however, several studies have shown that this process is not random but a deterministic one, where both the open and closed dwell-times and the ionic current flowing through the channel are history-dependent. This property is called long memory or long-range correlation. However, there is still much controversy regarding how this memory originates, which region of the channel is responsible for this property, and which models could best reproduce the memory effect. In this article, we provide a review of what is, where it is, its possible origin, and the mathematical methods used to analyze the long-term memory present in the kinetic process of ion channels.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"69 4","pages":"697 - 722"},"PeriodicalIF":1.3,"publicationDate":"2021-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10441-021-09415-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39022954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions","authors":"E. Sanchez-Palencia, J.-P. Françoise","doi":"10.1007/s10441-021-09413-3","DOIUrl":"10.1007/s10441-021-09413-3","url":null,"abstract":"<div><p>We propose a mathematical model for a class of predator–prey systems more complex than the usual one, involving a commensalism effect consisting in an influence of the predator on the sustainability of the prey. This effect induces interesting new features, including bi-stability (two attractors with disjoint attraction basins). The question of the possibility of reaching a certain attractor starting from initial conditions with a small population of predators, which presents an interest from the vewpoint of the onset of the predator in evolution, is addressed. We propose two possibilities: the classical one involving adapted conditions in the far past and a new (up to our knowledge) one using biodiversity, specifically the presence of another predator which operates as a starter, being displaced in the sequel.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"69 4","pages":"497 - 510"},"PeriodicalIF":1.3,"publicationDate":"2021-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10441-021-09413-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38977698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Phylogenetic Inference and the Misplaced Premise of Substitution Rates","authors":"Kirk Fitzhugh","doi":"10.1007/s10441-021-09412-4","DOIUrl":"10.1007/s10441-021-09412-4","url":null,"abstract":"<div><p>Three competing ‘methods’ have been endorsed for inferring phylogenetic hypotheses: parsimony, likelihood, and Bayesianism. The latter two have been claimed superior because they take into account rates of sequence substitution. Can rates of substitution be justified on its own accord in inferences of explanatory hypotheses? Answering this question requires addressing four issues: (1) the aim of scientific inquiry, (2) the nature of why-questions, (3) explanatory hypotheses as answers to why-questions, and (4) acknowledging that neither parsimony, likelihood, nor Bayesianism are inferential actions leading to explanatory hypotheses. The aim of scientific inquiry is to acquire causal understanding of effects. Observation statements of organismal characters lead to implicit or explicit why-questions. Those questions, conveyed in data matrices, assume the truth of observation statements, which is contrary to subsequently invoking substitution rates within inferences to phylogenetic hypotheses. Inferences of explanatory hypotheses are abductive in form, such that some version of an evolutionary theory(ies) is/are included or implied. If rates of sequence evolution are to be considered, it must be done prior to, rather than within abduction, which requires renaming those putatively-shared nucleotides subject to substitution rates. There are, however, no epistemic grounds for renaming characters to accommodate rates, calling into question the legitimacy of causally accounting for sequence data.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"69 4","pages":"799 - 819"},"PeriodicalIF":1.3,"publicationDate":"2021-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10441-021-09412-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38955494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ally Yeketi Ayinla, Wan Ainun Mior Othman, Musa Rabiu
{"title":"A Mathematical Model of the Tuberculosis Epidemic","authors":"Ally Yeketi Ayinla, Wan Ainun Mior Othman, Musa Rabiu","doi":"10.1007/s10441-020-09406-8","DOIUrl":"10.1007/s10441-020-09406-8","url":null,"abstract":"<div><p>Tuberculosis has continued to retain its title as “the captain among these men of death”. This is evident as it is the leading cause of death globally from a single infectious agent. TB as it is fondly called has become a major threat to the achievement of the sustainable development goals (SDG) and hence require inputs from different research disciplines. This work presents a mathematical model of tuberculosis. A compartmental model of seven classes was used in the model formulation comprising of the susceptible S, vaccinated V, exposed E, undiagnosed infectious <i>I</i><sub>1</sub>, diagnosed infectious <i>I</i><sub>2</sub>, treated <i>T</i> and recovered R. The stability analysis of the model was established as well as the condition for the model to undergo backward bifurcation. With the existence of backward bifurcation, keeping the basic reproduction number less than unity <span>(({R_{0}}<1))</span> is no more sufficient to keep TB out of the community. Hence, it is shown by the analysis that vaccination program, diagnosis and treatment helps to control the TB dynamics. In furtherance to that, it is shown that preference should be given to diagnosis over treatment as diagnosis precedes treatment. It is as well shown that at lower vaccination rate (0–20%), TB would still be endemic in the population. As such, high vaccination rate is required to send TB out of the community.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"69 3","pages":"225 - 255"},"PeriodicalIF":1.3,"publicationDate":"2021-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10441-020-09406-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38891053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Evolutionary Processes Transpiring in the Stages of Lithopanspermia","authors":"Ian von Hegner","doi":"10.1007/s10441-021-09411-5","DOIUrl":"10.1007/s10441-021-09411-5","url":null,"abstract":"<div><p>Lithopanspermia is a theory proposing a natural exchange of organisms between solar system bodies as a result of asteroidal or cometary impactors. Research has examined not only the physics of the stages themselves but also the survival probabilities for life in each stage. However, although life is the primary factor of interest in lithopanspermia, this life is mainly treated as a passive cargo. Life, however, does not merely passively receive an onslaught of stress from surroundings; instead, it reacts. Thus, planetary ejection, interplanetary transport, and planetary entry are only the first three factors in the equation. The other factors are the quality, quantity, and evolutionary strategy of the transported organisms. Thus, a reduction in organism quantity in stage 1 might increase organism quality towards a second stress challenge in stage 3. Thus, robustness towards a stressor might in fact be higher in the bacterial population surviving after transport in stage 3 than at the beginning in stage 1. Therefore, the stages of lithopanspermia can themselves facilitate evolutionary processes that enhance the ability of the collected organisms to survive stresses such as pressure and heat shock. Thus, the multiple abiotic pressures that the population encounters through the three stages can potentially lead to very robust bacteria with survival capacities considerably higher than might otherwise be expected. This analysis details an outcome that is possible but probably rare. However, in addition to lithopanspermia, spacecraft mediated panspermia may also exist. The analogous stages in a spacecraft would result in a greater likelihood of increasing the stress tolerance of hitchhiking organisms. Furthermore, missions seeking life elsewhere will frequently be sent to places where the possibility of life as we know it is assumed to exist. Thus, we not only can transport terrestrial organisms to places where they are potentially more likely to survive but also may increase their invasive potential along the way. This analysis highlights further requirements that planetary protection protocols must implement and also provides a framework for analyses of ecological scenarios regarding the transmission of life, natural or artificial, between worlds in a solar system.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"69 4","pages":"783 - 798"},"PeriodicalIF":1.3,"publicationDate":"2021-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10441-021-09411-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25588994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Biology and Pragmatism: The Organism-Environment Bond","authors":"David Depew","doi":"10.1007/s10441-021-09410-6","DOIUrl":"10.1007/s10441-021-09410-6","url":null,"abstract":"<div><p>This review essay provides an analysis of the context and content of Trevor Pearce’s <i>Pragmatism’s Evolution</i>. The work highlights the bond between organisms and their environments.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"69 4","pages":"875 - 885"},"PeriodicalIF":1.3,"publicationDate":"2021-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10441-021-09410-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43083643","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}