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  • 2020-2024  (45)
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  • 2020-2024  (45)
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  • 1
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    Springer
    Publication Date: 2024-01-10
    Description: The volume offers insights into new theoretical approaches that should make it possible to analyse cultural change through migration. It focuses on concrete activities in local contexts and their significance for national narratives. Finally, it presents newer approaches in migration studies that use artistic methods and work with cultural institutions to drive cultural change.
    Description: Der Band bietet Einblick in neue theoretische Ansätze, die ermöglichen sollen, kulturellen Wandel durch Migration zu analysieren. Er richtet den Blick auf konkrete Aktivitäten in lokalen Kontexten und deren Bedeutung für nationale Narrative. Abschließend präsentiert er neuere Ansätze in der Migrationsforschung, die sich künstlerischer Methoden bedienen und mit kulturellen Institutionen zusammenarbeiten, um kulturelle Veränderung voranzutreiben.
    Keywords: Migration; Postmigration; kultureller Wandel; Kunst; Kultur ; ÖFOS 2012 -- SOZIALWISSENSCHAFTEN (5) -- Soziologie (504) -- Soziologie (5040) -- Migrationsforschung (504021) ; ÖFOS 2012 -- GEISTESWISSENSCHAFTEN (6) -- Andere Geisteswissenschaften (605) -- Andere Geisteswissenschaften (6050) -- Kulturwissenschaft (605004) ; Migration; postmigration; cultural change; art; culture ; ÖFOS 2012 -- SOCIAL SCIENCES (5) -- Sociology (504) -- Sociology (5040) -- Migration research (504021) ; ÖFOS 2012 -- HUMANITIES (6) -- Other Humanities (605) -- Other Humanities (6050) -- Cultural studies (605004)
    Language: English
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  • 2
    Publication Date: 2024-01-30
    Description: The ability to use data produced by different sources (social networks, governments, weather sensors etc.) is widely recognized as a key to capitalize the value of data. In the scientific field, such usage may incredibly boost the innovation and foster new discoveries. However, one of the main hurdles is currently represented by the difficulties in achieving the required interoperability to provide integrated access to multi-disciplinary data. The current work presents a metadata-driven approach that uses in a combined way metadata, semantics, and services as key components for providing integrated access to heterogeneous data sources. The integration occurs within a central data integration system, which is driven by a rich metadata catalogue and that can present the data provided by the different data sources in a harmonised way to the end user, by means of RESTful APIs. A real application demonstrating metadata-driven semantic and service interoperability for achieving homogeneous access to multi-disciplinary heterogeneous data sources is illustrated in the case of EPOS, a Research Infrastructure for Solid Earth Science. The advantages in terms of ease of maintenance, of flexibility in plugging different standard without perturbating communities’ long-lasting technical practices, and of ability to track provenance are discussed. Future work for providing open-source implementation of a system built following the proposed approach is also envisaged.
    Description: Published
    Description: 235–247
    Description: OST5 Verso un nuovo Monitoraggio
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: book chapter
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  • 3
    Publication Date: 2024-01-30
    Description: The Shapes Constraint Language (SHACL) has been recently introduced as a W3C recommendation to define constraints for validating RDF graphs. In this paper a novel SHACL-driven multi-view editor is presented: SHAPEness. It empowers users by offering them a rich interface for assessing and improving the quality of metadata represented as RDF graphs. SHAPEness has been developed and tested in the framework of the European Plate Observing System (EPOS). In this context, the SHAPEness features have proven to be a valuable solution to easily create and maintain valid graphs according to the EPOS data model. The SHACL-driven approach underpinning SHAPEness, makes this tool suitable for a broad range of domains, or use cases, which structure their knowledge by means of SHACL constraints.
    Description: Published
    Description: 274–288
    Description: OST5 Verso un nuovo Monitoraggio
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
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  • 4
    Publication Date: 2024-04-29
    Description: When a lava flow enters a body of water, either a lake, sea, river or ocean, explosive interaction may arise. However, when it is an 'a'ā lava flow entering water, a more complex interaction occurs, that is very poorly described and documented in literature. In this paper, we analysed the 2–4 ka San Bartolo lava flow field emplaced on the north flank of Stromboli volcano, Italy. The lava flow field extends from ~ 650 m a.s.l. where the eruptive fissure is located, with two lava channels being apparent on the steep down to the coast. Along the coast the lava flow field expands to form a lava delta ~ 1 km wide characterised by 16 lava ‘Flow’ units. We performed a field survey to characterise the features of lava entering the sea and the associated formation of different components and magnetic measurements to infer the flow fabrics and emplacement process of the lava flow system. We measured the density, porosity and connectivity of several specimens to analyse the effect of lava-water interaction on the content in vesicles and their connectivity and conducted a macroscopic componentry analysis (clast count) at selected sites to infer the character of the eroded offshore segment of the lava flow field and its component flow units. The collected data allowed us to define the main components of a lava delta fed by 'a'ā lava flows, with its channels, littoral units, ramps, lava tubes, and inflated pāhoehoe flows controlled by the arterial 'a'ā flow fronts. The spatial organisation of these components allowed us to build a three-step descriptive model for 'a'ā entering a water. The initial stage corresponds to the entry of channel-fed 'a'ā lava flow into the sea which fragments to form metric blocks of 'a'ā lava. Continued lava supply to the foreshore causes flow units to stall while spreading over this substrate. Subsequent 'a'ā lava flow units ramp up behind the stalled flow front barrier. Lava tubes extending through the stalled flow barrier feed the seaward extension of a bench made of several pāhoehoe flow units.
    Description: Open access funding provided by Università degli Studi di Torino within the CRUI-CARE Agreement. This project is a part of RS PhD project. This research was funded by MIUR ex-60% attributed to EZ and PhD grants-Budget 10% attributed to RS. Also, it was partially funded by the Project FIRST (ForecastIng eRuptive activity at Stromboli volcano: Timing, eruptive style, size, intensity, and duration), INGV-Progetto Strategico Dipartimento Vulcani 2019 (Delibera n. 144/2020). This is contribution no. 637 of the ClerVolc program of the International Research Center for Disaster Sciences and Sustainable Development of the University of Clermont Auvergne.
    Description: Published
    Description: 50
    Description: OSV1: Verso la previsione dei fenomeni vulcanici pericolosi
    Description: JCR Journal
    Keywords: Stromboli volcano ; flank eruptions ; Lava flows
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
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  • 5
    Publication Date: 2024-04-24
    Description: Groundwater is a vital resource for humans, non-human species, and ecosystems. It has allowed the development of human evolution and civilizations throughout history (e.g., Wittfogel 1956, Tempelhoff et al. 2009, Cuthbert and Ashley 2014, Roberts 2014). However, it faces multiple potential threats that make it vulnerable and fragile. Climate change and human activities are the primary causes that have led to water cycle disruptions, particularly a decline in groundwater quality and quantity (e.g., Gleeson et al. 2020, Chaminé et al. 2022, Richardson et al. 2023). Climate variability has induced droughts, floods, and other extreme weather conditions, significantly impacting groundwater in many regions. Meanwhile, human activities such as over-abstraction, ground contamination, deforestation, land-use change, and other anthropogenic pressures have further compromised groundwater status. Nonetheless, groundwater continues to fulfill water demands in many regions or during specific periods. Therefore, concerted efforts are imperative to ensure its sustainability. So, conservation practices and nature-based solutions must be adopted to efficiently manage groundwater and shield it from additional potential hazards or risks (e.g., contamination, pollution, or over-abstraction). Failure to act quickly can result in the loss of this critical resource, with severe consequences for the economy, society, and ecosystems. From this perspective, it is imperative to prioritize actions underscored by technical-scientific integrity, environmental responsibility, societal sensitivity, and ethical practices.
    Description: Published
    Description: 97
    Description: OS: Terza missione
    Description: OSA5: Energia e georisorse
    Description: JCR Journal
    Keywords: groundwater ; resource management ; sustainability ; hydrogeoethics ; geoethics ; societal well-being ; 05.03. Educational, History of Science, Public Issues ; 03.02. Hydrology ; 04.04. Geology ; 05.09. Miscellaneous
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
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  • 6
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    Springer
    In:  EPIC3Springer, 24 p., pp. 281-304, ISBN: 9783031455537
    Publication Date: 2024-01-08
    Description: Calving of iceberg at ice shelves and floating glacier tongues is a poorly understood process, hence a physically motivated calving law is not yet existing. The demands on developing appropriate models for calving is large, as calving rates are needed for large scale ice sheet models that simulate the evolution of ice sheets. Here, we present a new approach for simulating fracture in ice. Our model is based on a finite strain theory for a viscoelastic Maxwell material, as the large simulation time leads to high strains. The fracturing process is simulated using a fracture phase field model that takes into account the elastic strain energy. We conduct simulations for a typical calving front geometry, with ice rises governing the formation of cracks. To represent the stress state adequately, we first conduct a spin-up to allow the viscous contribution to develop before the fracture phase field is computed. The analysis comprises the assessment of the crack path in comparison to observations, the influence of the spin-up, as well as elastic versus viscous strain contributions based on Hencky strain. Additionally, an estimate of released energy based on high resolution optical imagery of a Greenlandic calving front is presented.
    Repository Name: EPIC Alfred Wegener Institut
    Type: Inbook , peerRev
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  • 7
    Publication Date: 2024-03-12
    Description: We have provided the first estimate of scat- tering and intrinsic attenuation for the Gargano Prom- ontory (Southern Italy) analyzing 190 local earthquakes with M L ranging from 1.0 to 2.8. To separate the intrin- sic Q i and scattering Q s quality factors with the Wen- nerberg approach (1993), we have measured the direct S waves and coda quality factors ( Q 𝛽 , Q c ) in the same volume of crust. Q 𝛽 parameter is derived with the coda normalization method (Aki 1980) and Q c factor is derived with the coda envelope decay method (Sato 1977). We selected the coda envelope by performing an automatic picking procedure from T start = 1.5T S up to 30 s after origin time (lapse time T L ). All the obtained quality factors clearly increase with frequency. The Q c values correspond to those recently obtained for the area. The estimated Q i are comparable to the Q c at all frequencies and range between 100 and 1000. The Q s parameter shows higher values than Q i , except for 8 Hz, where the two estimates are closer. This implies a pre- dominance of intrinsic attenuation over the scattering attenuation. Furthermore, the similarity between Q i and Q c allows us to interpret the high Q c anomaly previ- ously found in the northern Gargano Promontory up to a depth of 24 km, as a volume of crust characterized by very low seismic dumping produced by conversion of seismic energy into heat. Moreover, most of the earth- quake foci fall in high Q i areas, indicating lower level of anelastic dumping and a brittle behavior of rocks.
    Description: Published
    Description: 827-846
    Description: OST1 Alla ricerca dei Motori Geodinamici
    Description: JCR Journal
    Keywords: Seismic attenuation · Coda normalization method · Intrinsic quality factor · Scattering quality factor · Southern Italy · Gargano Promontory · OTRIONS seismic network ; 04.06. Seismology
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
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  • 8
    Publication Date: 2024-05-16
    Description: This review summarizes what the volcanology community has learned thus far from studying the deposits of pyroclastic currents (PCs) from the 1980 eruption sequence at Mount St. Helens. The review includes mass flow events during the May 18 eruption, including the lateral blast, the afternoon column collapse and boil-over PC activity, and some aspects of the debris avalanche. We also include a summary of PCs generated in the smaller eruptions following the climactic May 18 event. Our objective is to summarize the state of our understanding of PC transport and emplacement mechanisms from the combination of field and laboratory observations, granular flow experiments, and numerical modeling techniques. Specifically, we couple deposit characteristics, experiments, and numerical modeling techniques to critically address the problems of (1) constraining conditions in the flow boundary zone at the time of deposition; (2) the influence of substrate roughness and topography on PC behavior; (3) the prevalence, causes, and consequences of substrate erosion by PCs; and (4) the reconstruction of PC transportation and sedimentation processes from a combination of geophysical and sedimentological observations. We conclude by providing opportunities for future research as our field, experimental, and numerical research techniques advance.
    Description: Published
    Description: 24
    Description: OSV2: Complessità dei processi vulcanici: approcci multidisciplinari e multiparametrici
    Description: JCR Journal
    Keywords: numerical modeling, mount St. Helens, physical volcanology ; 04.08. Volcanology
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
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  • 9
    Publication Date: 2024-06-13
    Description: The ability to predict the mobility of rock avalanches is necessary when designing strategies to mitigate the risks they pose. A popular mobility indicator of the flow front is the Heim’s apparent friction coefficient muH. In the field, muH shows a decrease in value as flow volume V increases. But this correlation has been a mystery as to whether it is due to a causal relationship between V and mobility since: (1) field data of muH do not collapse onto a single curve because typically widely scattered and (2) laboratory experiments have shown an opposite volume effect on the center of mass mobility of miniature flows. My numerical simulations confirm for the first time the existence of a functional relationship of scaling parameters where muH decreases as V increases in unsteady and nonuniform 3D flows. Data scatter is caused by muH that is affected by numerous other variables besides V. The interplay of these variables produces different granular regimes with opposite volume effects. In particular, muH decreases as V increases in the regime characterized by a relatively rough subsurface. The relationship holds for large-scale flows that, like rock avalanches, consist of a very large number of fine clasts traveling in wide channels. In these dense flows, flow front mobility increases as flow volume increases, as channel width increases, as grain size decreases, as basal friction decreases and as flow scale increases. Larger-scale flows are more mobile because they have larger Froude number values.
    Description: Published
    Description: 933–947
    Description: OSV1: Verso la previsione dei fenomeni vulcanici pericolosi
    Description: JCR Journal
    Keywords: Pyroclastic Flows ; Rock Avalanches ; Flow Front ; Mobility
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
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  • 10
    Publication Date: 2024-05-27
    Description: Invasive alien species represent one of the main environmental threats to native biodiversity and can also strongly alter the biogeochemical cycles within an ecosystem. This study aims to define the distribution of the invasive alien species Cotula cor-onopifolia L. within the protected wetland "Variconi" (Campania region, southern Italy) and evaluate the potential role of water geochemical features as interpretation tools for pattern distribution. The presence of C. coronopifolia was assessed in the field, and a distribution map was drawn; concomitantly thirty-nine water samples were collected from groundwater and surface water bodies for chemical analyses. The results showed that C. coronopifolia preferentially colonized the sector of the wetland characterized by high halinity, while it is totally absent in retrodunal and sandy coastal area with very high halinity. The cartography presented can be used as a tool to help target future management interventions. Through our multidisciplinary approach, new evidence has been provided on the ecology of this invasive alien plant that occupies several wetlands worldwide. The replicability of this method may be useful to assess the level of invasion of an alien species but also to predict its evolution as a function of environmental parameters.
    Description: Published
    Description: 1653–1668
    Description: JCR Journal
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
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  • 11
    Publication Date: 2024-05-27
    Description: Active volcanoes show many mild thermal anomalies, because the ground surface is sensible to changes in the advective processes, occurring through the network of fissures. This data report shows the temperatures, recorded from January 2020 to February 2023, by a remote-controlled monitoring station. The VCS station is located on the summit of La Fossa cone (Vulcano, Aeolian Islands), in a zone of intense diffuse degassing. The temperature data, hourly registered at VCS, are available in the supplementary Excel file. The thermal data are part of the comprehensive network, performed by the Istituto Nazionale di Geofisica e Vulcanologia, for volcanic surveillance. On the Island of Vulcano, the active volcanic system under la Fossa caldera has been affected by multiple exhaling crises, interpreted as unrest of volcanic activity. The temperature time series provided reference data showing the thermal transition of the volcanic ground surface from a background degassing condition, through unrest, to the new thermal condition that followed the unrest period.
    Description: OvFu 0304.010 - Italian Presidenza del Consiglio dei Ministri—Dipartimento della Protezione Civile
    Description: Published
    Description: 40
    Description: OSV2: Complessità dei processi vulcanici: approcci multidisciplinari e multiparametrici
    Description: JCR Journal
    Keywords: heat flux ; time series ; Unrest ; Vulcano ; diffuse degassing ; thermal monitoring
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
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  • 12
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    Springer
    Publication Date: 2024-06-28
    Description: Earth System Literacy offers a rich matrix of narratives about (planet) Earth, World and Humans when interwoven with cultural artefacts (e.g. arts, history). Anthropogenic global change locks them together in a unifying framework. By making a distinction between reproduction, work (ergon, Greek) and civicness, there are narratives that convey what characterises the human condition today, including the material, social and historic settings of the Anthropocene.
    Description: Published
    Description: 445–449
    Keywords: Anthropocene ; Earth System Literacy ; Narratives ; 05.03. Educational, History of Science, Public Issues
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: book chapter
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  • 13
    Publication Date: 2024-07-09
    Description: Published
    Description: OS: Terza missione
    Keywords: 04.08. Volcanology
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  • 14
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    Bulletin of mathematical biology 15 (1953), S. 311-338 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The partial differential equation of the random walk problem with persistence of direction and external bias is derived. By persistence of direction or internal bias we mean that the probability a particle will travel in a given direction need not be the same for all directions, but depends solely upon the particle's previous direction of motion. The external bias arises from an anisotropy of the medium or an external force on the particle. The problem is treated by considering that the net displacement of a particle arises from two factors, namely, that neither the probability of the particle traveling in any direction after turning nor the distance the particle travels in a given direction need be the same for all directions. A modified Fokker-Planck equation is first obtained using the assumptions that the particles have a distribution of travel times and speeds and that the average time of travel between turns need not be zero. The fional equation incopporating the assumption of a persistence of direction and an external bias is then derived. Applications to the study of diffusion and to long-chain polymers are then made.
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  • 15
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    Bulletin of mathematical biology 15 (1953), S. 383-383 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
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  • 16
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    Bulletin of mathematical biology 15 (1953), S. 385-385 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
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  • 17
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    Bulletin of mathematical biology 15 (1953), S. 367-381 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The transmission of some information or behavior pattern is treated as a flow of “particles” which execute random motions over a population of individuals and which may multiply or disappear. Equations are derived for the number density of these “particles” and from this is calculated the number of individuals through which the “particles” have passed. The results are applied to a number of situations such as 1) uniform spatial distribution with multiplication factor decreasing with time because of loss of interest or confusion of the information, 2) multiplication factor constant but the rate of spreal decreasing with multiple hearings, 3) one-dimensional region with a small starting region with or without an absorbing barrier 4) two-dimensional region with absorbing barrier, 5) continous sources of information within a small region in one dimension, 6) uniform spatial distribution in which individuals do not respond to more than one hearing.
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  • 18
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    Bulletin of mathematical biology 15 (1953), S. 387-394 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A situation is considered in which a fluid containing a substance flows through a vessel at a constant rate, the substance being permeable to the vessel wall. In the region outside the vessel there is supposed to be rapid mixing in the direction perpendicular to the axis of the vessel but no mixing longitudinally. The solution for the spatial distribution at any time is given for the case of an arbitrary initial distribution along the vessel length in the absence of an input. The solution is also given for the case of a single impulsive input, the concentration being initially zero everywhere.
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  • 19
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    Bulletin of mathematical biology 15 (1953), S. 431-476 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Organisms orient themselves to a stimulus by two general methods. One method is by directed orientation (taxis); the other is by undirected locomotory reaction (kinesis). An equation, and the methods for finding the necessary parameters of this equation, is derived for the distribution of organisms within a container, with the following limitations: (1) the organisms have no accommodation, (2) they are always active, and (3) the stimulus changes slowly with position. Necessary modifications of the equation are then derived, so that the last two limitations may be eliminated. The equation cannot be solved excatly because of its complexity; hence an approximation method must be used. This method is discussed, an approximate solution is found, and a time constant for equilibrium to be established is derived. Applications tovarious experiments in the literature are then made with fairly satisfactory results. A new interpretation of the theory of klino-kinesis with accommodation is found upon application of the equations developed to experimental work. Further limitations and uses of these equations are then discussed.
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  • 20
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    Bulletin of mathematical biology 15 (1953), S. 501-507 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Certain parameters are defined which roughly characterize the internal structure of networks. A given network structure uniquely determines the values of the parameters, but the reverse is not true. The parameters therefore define certain classes of networks. One of the parameters, thedispersion D(S) gives an indication of the “compactness” of the internal structure. Addition theorems and inequalities are derived relating the dispersions of sub-systems to the dispersion of the complete structure.
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  • 21
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    Bulletin of mathematical biology 15 (1953), S. 489-500 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract A mathematical theory is developed which permits the determination of certain parameters of an inhomogenous tissue, such as a nerve trunk without its epineurium. The parameters are the permeability coefficients for entrance into an exit of a substance from the nerve fibers, and the diffusion coefficient of the interstitial material. The experimental data required are the dimensions of the cross-section, the average diameter of the fibers, and the ratio of the cross-sectional are of the fibers to the total cross-section, as well as the time course of the decrease of the fraction of the substance left in the nerve trunk, when the trunk is immersed in a bathing solution containing none of it.
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  • 22
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    Bulletin of mathematical biology 15 (1953), S. 509-522 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract A model based on enzyme localization is developed which gives rise to an apparent active transport of a metabolite into or out of cells. The model is applied to three simple situations, using Fick's equation and the Rashevsky approximation. It is shown that the apparent efficiency can be made as large as desired if, for constant reaction, the outer cell region is made sufficiently small, or, for autocatalytic reaction, if the metabolite concentration in the outer region is sufficiently small. The physical limitations imposed by this mechanism are developed for all three situations.
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  • 23
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    Bulletin of mathematical biology 15 (1953), S. 523-533 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A previously derived iteration formula for a random net was applied to some data on the spread of information through a population. It was found that if the axon density (the only free parameter in the formula) is determined by the first pair of experimental values, the predicted spread is much more rapid than the observed one. If the successive values of the “apparent axon density” are calculated from the successive experimental values, it is noticed that this quantity at first suffers a sharp drop from an initial high value to its lowest value and then gradually “recovers”. An attempt is made to account for this behavior of the apparent axon density in terms of the “assumption of transitivity”, based on a certain socio-structural bias, namely, that the likely contacts of two individuals who themselves have been in contact are expected to be strongly overlapping. The assumption of transitivity leads to a drop in the apparent axon density from an arbitrary initial value to the vicinity of unity (if the actual axon density is not too small). However, the “recovery” is not accounted for, and thus the predicted spread turns out to beslower than the observed.
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  • 24
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    Bulletin of mathematical biology 15 (1953), S. 535-546 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract The assumption of transitivity treated in part I is modified in various ways to describe an information-diffusion process, in which a certain amount of randomness of contact does occur. In one model a parameter is introduced which is indicative of a tendency to go beyond one's immediate vicinity to spread the information as the vicinity becomes saturated with knowers. In another model the randomness appears in the assumption that new knowers are uniformly distributed among the knowers. Two of the equations thus derived, each with two free parameters are in good agreement with experimental results.
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  • 25
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    Bulletin of mathematical biology 15 (1953), S. 1-13 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The impressed field, “Window Field” (WF), due to a half-wave action potential on a muscle fiber, has been calculated on the basis of potential theory. It has been shown that in spite of the small intensity of the field, its integrated action can transfer the energy needed to induce, contraction from the membrane to the interior of the fiber. The energy of polarization has been found to be sufficient to exceed the energy of, thermal agitation on that length of fiber, which can be identified as the length of a sarcomere. The changes of ion concentration, caused by the WF, if calculated on the assumption of the semipermeability of theZ membranes, was found to be equal to the changes necessary to induce contraction of actomyosinin vitro.
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  • 26
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    Bulletin of mathematical biology 15 (1953), S. 15-21 
    ISSN: 1522-9602
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    Notes: Abstract Some general properties of the solution of the diffusion equation are deduced for the steady-state, spherically symmetric system. On the basis of these developments some results of N. Rashevsky (Bull. Math. Biophysics,11, 15, 1949) are discussed and the results of a previous investigation (Hearon,Bull. Math. Biophysics,12, 135, 1950b) are extended to more general conditions. In particular these extensions apply to the flow of a soluteagainst its concentration gradient, the nonzero gradient of an inert metabolite, and theaccumulation or exclusion of an inert metabolite in a metabolic system.
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    Bulletin of mathematical biology 15 (1953), S. 23-31 
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    Notes: Abstract The approximation method of N. Rashevsky is discussed and reviewed. It is shown that in addition to theexplicit assumptions and approximations there is involved the assumption that the rate of metabolism is the same at every point in the cell and that theaverage rate of metabolism is different from zero. An expression is given for the error in the approximate method when the rate of metabolism is any function of the concentration. It is also shown that a solution in theform of that obtained by the approximate method is not possible if the generalized laws of diffusion are assumed to apply.
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    Bulletin of mathematical biology 15 (1953), S. 33-42 
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    Notes: Abstract Rate equations for the enzymatic oxidation of succinic acid are derived on the assumption that when a single molecule of substrate combines with an enzyme molecule, it can do so with either one or two sites on the enzyme, and that oxidation occurs only in the second case. In addition it is assumed that the product of the reaction, fumaric acid, combines reversibly with the enzyme. With certain enzyme preparations the data fitted such an equation satisfactorily. In others the rate was that of a first-order reaction, but addition of cytochrome changed it to the former type. It was concluded that the transfer of hydrogen to oxygen was a first-order reaction and dominated the whole rate when enzyme preparations were used which had been washed relatively free of cytochrome. When the limiting factor was succino-dehydrogenase the rates followed the new equation. Criteria for recognizing noncompetitive inhibition are given, and inhibition by di-tertiary butyl peroxide was shown to be of this type.
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    Bulletin of mathematical biology 15 (1953), S. 43-47 
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    Notes: Abstract This paper deals with the following question: Which distributions of radiosensitivity in a population can lead to an exponential survival curve? The problem is solved exactly, with statistical fluctuations in dose fully accounted for. It is shown that only an exponential distribution of sensitivities can give rise to an exponential survival curve.
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    Bulletin of mathematical biology 15 (1953), S. 49-61 
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    Notes: Abstract An approximation method is introduced which enables a number of diffusion-type problems to be solved in an approximate but simple manner. Many cases require only the solution of a simple first-order differential equation. The method is applied to a number of cases in which the exact solutions are available. A comparison shows that the method is quite satisfactory in these cases. The method is applied to diffusion problems with rate of consumption proportional to concentration or to the square of the concentration. In the latter case, the result obtained is essentially the same as that found by H. G. Landau (1950) after elaborate calculations.
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    Bulletin of mathematical biology 15 (1953), S. 83-91 
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    Notes: Abstract It is shown that a slight modification of a model of excitatory phenomena in irritable tissues, which has been treated before, exhibits spontaneous oscillations. The frequency of these oscillations and the time-course of the potential across the model membrane have been determined, together with the dependence of some of their characteristics on some important parameters, particularly (Ca++).
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    Bulletin of mathematical biology 15 (1953), S. 73-81 
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    Notes: Abstract It is demonstrated that, if the variations of viscosity throughout a cell are considered, swelling stresses may produce elongation and division. To do this it is necessary to generalize Betti's theorem to cover systems containing viscosity gradients and such a generalization is presented. On the basis of two special assumptions it is shown that most of the results of the diffusion drag theory of cell division may be duplicated by the present theory.
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    Bulletin of mathematical biology 15 (1953), S. 63-71 
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    Notes: Abstract The theory of imitative behavior, developed previously, is applied to the case of two social groups which are separated spatially. If the information of each group as to the behavior of the other is complete, the case reduces to that of a single group. When any information is lacking at all, the two groups are independent. If we have two mutually exclusive behaviorsA andB, all four combinationsAA, AB, BA, andBB are possible. If the mutual information gradually increases from zero, then for a certain value of it, the group which is more informed about the behavior of the other will change to that behavior if it did not already exhibit it. If for constant information the size of the group increases, then above a certain threshold value, the larger group imposes its behavior on the smaller.
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    Bulletin of mathematical biology 15 (1953), S. 103-104 
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    Bulletin of mathematical biology 15 (1953), S. 107-107 
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    Bulletin of mathematical biology 15 (1953), S. 105-106 
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    Bulletin of mathematical biology 15 (1953), S. 93-101 
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    Notes: Abstract Local regulation of blood flow as determined by capillary diameter and the number of open capillaries in a region is considered. The local changes in capillary diameter and in the number of open capillaries are assumed to be due to concentration changes of a diffusible, nonspecified metabolite. This metabolite is produced in the tissue and carried away by the blood stream. Using these assumptions and applying pertinent data on capillaries, deductions are made concerning: (a) the law of blood flow as a function of temperature and capillary radius for the hyperemia of high temperature, (b) high flow as it depends on metabolism during strenuous exercise of muscle, and (c) a first approximation to the time duration of occlusion hyperemia.
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    Bulletin of mathematical biology 15 (1953), S. 109-109 
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    Bulletin of mathematical biology 15 (1953), S. 143-148 
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    Notes: Abstract The necessary and sufficient condition is given forn integers to be the score structure of a society with a dominance relation. A proof is also given for a theorem showing that there are members who dominate every other member either directly or indirectly through a single intermediate member.
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    Bulletin of mathematical biology 15 (1953), S. 111-119 
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    Notes: Abstract On the basis of a previous general formulation (Bull. Math. Biophysics,15, 21–29, 1953a) a discussion is given of the error in the approximation method of N. Rashevsky. This error, inherent in the method when the metabolic rate is different at each point in the cell, is discussed in detail and numerical values are presented for two particular cases: the rate proportional to the concentration and the rate a prescribed function of the spatial coordinates. It is shown that the formulation for the first case also applies to several other cases, that the error is negligible provided the rate is sufficiently small, and that the error is fairly sensitive to the cell size. If the rate depends upon the coordinatesalone a small rate is not sufficient to insure a negligible error. The relations between the exact method, the standard approximate method, an earlier approximate method (Physics,7 260, 1936), and a more recent refinement (Bull. Math. Biophysics,10, 201, 1948) of the standard method are discussed.
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    Bulletin of mathematical biology 15 (1953), S. 121-141 
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    Notes: Abstract It is shown on the basis of (1) conservation of mass, (2) positive concentrations, and (3) the principle of detail balancing that periodic reactions cannot occur in a closed system described bylinear differential equations. The matrix,A, of the rate equations must be such that |A|=0,a ij〉0 fori≠j,a ii〈0, andVAV −1=B, whereV is diagonal andB is symmetric. These properties ofA imply that the latent roots are real and non-positive and that neither catalysis nor inhibition can be described bylinear equations. It is further shown that periodic reactions cannot occur in anopen system for which the matrix associated with the chemical reactions has the above properties and in which thesimple law of diffusion is obeyed. The relation of these results to Onsager's reciprocal relations and to previous work on periodic and cyclic chemical reactions is discussed. The utility of certain of these results for the treatment of isotope kinetics is indicated.
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    Bulletin of mathematical biology 15 (1953), S. 149-152 
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    Notes: Abstract It is demonstrated that an explanation of the small radius effect or the so-called sigma phenomenon may be obtained by noting that one of the effects of the presence of suspended particles in a flowing fluid is to increase the velocity of flow near the wall over that existing in the absence of particles. This effect may be considered equivalent to relaxing the boundary conditions at the wall. An expression for the viscosity is compared with data and fit is found to be good.
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    Bulletin of mathematical biology 15 (1953), S. 153-159 
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    Notes: Abstract The solution for the spatial distribution of ions in a Donnan equilibrium has been given by J. H. Bartlett and R. A. Kromhout (1952). The present note gives an explicit solution for the case in which the length of the region containing the membrane is large; in biological situations this requires only that the length considered should be greater than a few hundred Ångstrom units. The Donnan equilibrium may be considered to be a special case of a situation in which forces other than electrical act upon the ions; in particular, it represents the case in which only one ion is acted upon and the energy difference on the two sides of the membrane is infinite. An expression is given for the difference in energy of theith in terms of the electrical potential and of the ion concentrations. As an illustration, the results are applied to nerve membrane potentials.
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    Bulletin of mathematical biology 15 (1953), S. 161-165 
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    Notes: Abstract A mechanism is described which accounts for the active transport of Na+ ions through a membrane. It is assumed that at one side of the membrane the ion combines with a carrier ion, the resulting carrier compound then diffuses through the membrane and decomposes at the other side of the membrane. The free diffusion of the ions is also taken into account. The time rate of accumulation of the ion in question at the latter side of the membrane is calculated in terms of the concentrations of the ion at both sides of the membrane.
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    Bulletin of mathematical biology 15 (1953), S. 167-171 
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    Notes: Abstract The recent extension of the approximation method is applied to enable us to arrive at the time course of the concentrations at both sides of a membrane. From the differential equations which govern these, the steady-state solution is obtained in terms of the parameters, which are determined by the thickness of the diffusion layers, the chemical composition and reactions, and the diffusion constant of the membrane.
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    Bulletin of mathematical biology 15 (1953), S. 173-183 
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    Notes: Abstract An equation is derived from the spread of a “state” by contact through a thoroughly mixed population, in which the probability of transmission depends both on the over-all duration of the process and on the time an individual has been in the “state.” Cases in which this probability is a function of only one or the other of the two “times” are worked out. It is shown that in the case of dependence on “private time” alone the asymptotic value of the fraction of the population effected is the same as that derived by the random net approach.
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    Bulletin of mathematical biology 15 (1953), S. 235-235 
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    Bulletin of mathematical biology 15 (1953), S. 185-195 
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    Notes: Abstract The reflection of pressure waves in a fluid enclosed within a tube with an elastic wall is studied for the case of a localized change in diameter of the tube. The concept of impedance is introduced. The relation of the reflection characteristics of the parts of the tube at either side of the change is derived on the basis of the continuity of pressure and mass flow at the site of the change. This relations is used to derive the expression for the ratio of the pressure oscillations measured in front of, and behind, the constriction in terms of the constants of the system. As a result, a method is indicated to locate the coarctation from measurements of the pressures in front of, and behind it.
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    Notes: Abstract The question is raised concerning the possible causes of abnormally small standard deviations found in counting samples in which particles are distributed at random (e.g., blood cells, fat globules in milk, etc.). The effect of discarding abnormal samples is discounted inasmuch as small standard deviations occur even when all samples are counted. An approximation method is used to calculate the effect of finite particle size, of known repulsive forces between particles and of convection currents. This calculation shows that neither finite size nor the known repulsive forces are sufficient to account for the observed abnormality of standard deviation, but that convection currents can possibly account for it. The possible presence of long-range repulsive forces cannot, however, be excluded.
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    Bulletin of mathematical biology 15 (1953), S. 245-250 
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    Notes: Abstract The effect of finite particle size on the standard deviation in sample counts is computed for the one-dimensional case. To a first order of approximation the correction is found to be identifical with that found by H. de Vries (1953) using a general approximation method.
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    Bulletin of mathematical biology 15 (1953), S. 251-260 
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    Notes: Abstract A critical examination of the “classical” theories of photoreception in view of more recent experimental findings yields the result that these theories do not possess the property to describe all the more significant phenomena of photoreception correctly, and to some extent suffer the lack of more general applicability. The basis for a new and presumably more general theory of photoreception based on dynamical aspects is laid out. Emphasis is put on the time course of afferent and efferent excitation in the photoreception model, consisting of a receptor element, an afferent and an efferent neuron of the one-factor Rashevsky-type, and an effector organ.
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    Bulletin of mathematical biology 15 (1953), S. 197-234 
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    Notes: Abstract A mathematical model for the development of human society, beginning with the earliest stages of urban cultures, is outlined. In the early stages of history, behavior was characterized largely by adherence to a number of beliefs and prejudices of diffeirent kinds, which were accepted on faith and not subject to critical rational analysis. Due to psychobiological variability a very small number of individuals spontaneously appear at all times who challenge the accepted beliefs and prejudices and do not follow the accepted patterns of social behavior. The effect of these individuals upon the rest of the society, especially upon the younger generation, depends on the facilities with which information spreads in society. In earliest societies, when modern methods of mass communication were unknown, the channels of communication were practically identical with the channels of economic transport. The latter in its turn depended on the nature of the roads, and especially on the presence of waterway, which facilitated transportation. The sizes of the earliest cities and the distances between them were largely determined by relative ease of transporation. Expressions are derived for the average size of the earliest cities and for the average distance between them. The calculated average populations of the earliest cities are of the order of 103; the distance of the order of 102 km. Both are in agreement with some archaeological findings. An expression for the time spaon required for the development from the earliest stages of urban cultures to the present time is derived and shown to depend on the specific shoreline of the country, that is, the length of the shorline divided by the area of the country. It is pointed out that western Europe's specific shoreline, including land bordering both seas and rivers, is ten times as large as the shoreline area of other parts of the world. It is shown that this greater specific shoreline may account quantitatively for the faster social and technological development of western Europe in the last few centuries. The calculated total span of time of development from earliest urban cultures to our days is found to be of the order of magnitude of ten thousand years. It is shown that the model accounts for the existence at the present time of primitive cultures. A number of suggestions is made in regard to other possible applications of mathematics to history.
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    Bulletin of mathematical biology 15 (1953), S. 269-276 
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    Notes: Abstract The assumptions latent in the derivation of the integral equation of Branson are rendered explicit and discussed. It is shown that the equation is valid only for systems in which the substance disappears according to a linear rate law.
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    Bulletin of mathematical biology 15 (1953), S. 261-268 
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    Notes: Abstract It is shown that the validity of Branson's integral description of metabolizing systems is subject to severe limitations. The validity is insured only in cases where the reaction is of first order, or quasi of first order. In all other cases Branson's equation has to be modified to insure general applicability. The consequences of a different definition of the metabolizing functionF have also been investigated. With the new definitionF describes the pure effect of metabolization. It is found that in this case the integral equation is only capable of describing first-order reactions. With a slight modification of the integral equation it is possible to describe metabolites “with age”, which do not have reactions of definite order, but which satisfy the superposition principle.
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    Bulletin of mathematical biology 15 (1953), S. 277-292 
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    Notes: Abstract A problem in probability is stated with included the problem of the distribution of bacterial mutants as a special case. This problem is solved exactly but since the resulting expressions are too complicated for practical use, various approximate expressions for the distribution are considered, especially for the bacterial mutation case.
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    Bulletin of mathematical biology 15 (1953), S. 293-300 
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    Notes: Abstract Simple reaction and discrimination reaction, under the influence of imitation, are considered for the situation in which the stimulus or the stimuli vary slowly with time. The result is analogous to hysteresis under certain conditions. The calculations are facilitated by the solution of $$x = \int_{ - \infty }^{a + \beta x} {g\left( \xi \right)d} \xi ,$$ g(ξ) being the normal error function. Values ofx(α, β) are given in a table.
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    Bulletin of mathematical biology 15 (1953), S. 301-309 
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    Notes: Abstract On the basis of simple physical considerations the blood flow in a branching circulatory system is studied. The case of two groups of parallel vessels is treated. The vessels of the same group are supposed to be identical. The resistance of each group is determined by the resistance of each vessel in the group and by the number of vessels in the group. From the dependence of the resistance of each vessel on its radius an expression is obtained for the blood flow through each group of vessels in terms of the numbers and sizes of the vessels in each group. The number of open vessels in an organ and the radius of each of those vessels are assumed to depend on the metabolic rate of that organ. The relations so obtained, together with the expression above, are applied to derive the blood flow through an organ as a function of the metabolic rate of that organ. It is indicated that the relations obtained might describe the shifting of blood from one organ to another if the activity of one of them changes. A way is pointed out to treat neural regulation of this phenomenon.
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    Bulletin of mathematical biology 15 (1953), S. 361-365 
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    Notes: Abstract A stochastic model of population growth is treated using the Bellman-Harris theory of agedependent stochastic branching processes. The probability distribution for the population size at any time and the expectation are obtained when it is assumed that there is probability (1−σ), 0≤σ〈1, of the organism dividing into two at the end of its lifetime, and probability σ that division will not take place.
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    Bulletin of mathematical biology 15 (1953), S. 339-359 
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    Notes: Abstract In a previous paper, in which a possible mathematical approach to history was outlined, it was shown that urbanization plays an important part in the propagation of new ideas. The rate of such propagation influences the rate of historical developments. The present paper deals in more detail with possible mechanisms of formation of earliest cities. Equations are derived which give the limiting size of such cities and their rate of growth. Of particular importance for the spread of new ideas is the spread of information. The latter largely depends on the fraction of individuals who travel between city and country. Expressions for this quantity are derived. An approach is outlined to the mathematical study of the earliest social classes, which may have been formed as a result of military, religious, or economic stratifications.
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    Bulletin of mathematical biology 15 (1953), S. 395-409 
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    Notes: Abstract The velocity of propagation of a disturbance wave in a liquid flowing in a distensible tube is computed. The mathematical model is more general than those used in previous analyses: the tube wall properties are realistic; the convective part of the axial inertia forces is taken into account; radial inertia forces of both the fluid and tube wall are present; viscous stresses are present. Four parameters influencing the velocity of propagation are obtained and discussed. Curves are plotted illustrating the effects of the parameters. Contrary to the results of previous analyses, viscous effects are shown to be appreciable in blood flow. It is also shown that radial inertia effects can be important in laboratory set-ups.
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    Bulletin of mathematical biology 15 (1953), S. 411-429 
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    Notes: Abstract A general theory of the drying of frozen tissue is developed and applied to the measurement of the drying rate of frozen guinea pig liver. It is shown that for a given temperature of the subliming ice crystals the mininum drying time of a piece of guinea pig liver is greater than the minimum sublimation time of a piece of ice of the same size and shape by a factor of the order of one thousand. This fact has many implications in the design of freeze-dry apparatus which will be developed in a following paper.
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    Bulletin of mathematical biology 15 (1953), S. 477-488 
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    Notes: Abstract The equations governing the time course of the exchange of substances between the blood in the capillaries and the extracellular space are solved for the case of substances which do not penetrate the cells. The equations given relate the time course of the exchange process to the various tissue and circulation parameters such as the specific capillary wall area, the pore area, the inter-capillary distance, the size of the extra-vascular, extra-cellular space, the diffusion coefficient in this space, and the velocity of blood in the capillaries. Some experimental work on capillary exchange is discussed in relation to the theory and estimates are made of the relative importance of the various tissue and circulation parameters in the exchange of substances in different tissues.
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    Notes: Abstract Previous work (Macey, 1952) in the application of the one-factor theory to the heart is extended. The rate of production of the excitatory state is assumed to be linear. Two possible mechanisms are indicated whereby such a situation might arise. Assumptions are made regarding the mode of action of the chemical mediators on the heart, and an equation is derived relating the heart rate to the frequency of nerve impulses traveling along the cardiac nerves. This result compares favorably with the experimental findings of A. Rosenblueth and F. A. Simeone (1934). Other experimental results are interpreted in terms of the theory.
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    Bulletin of mathematical biology 15 (1953), S. 561-563 
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    Monatshefte für Mathematik 57 (1953), S. 1-5 
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    Monatshefte für Mathematik 57 (1953), S. 19-28 
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    Monatshefte für Mathematik 57 (1953), S. 29-43 
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    Monatshefte für Mathematik 57 (1953), S. 6-18 
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    Monatshefte für Mathematik 57 (1953), S. 44-65 
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    Monatshefte für Mathematik 57 (1953), S. 66-74 
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    Monatshefte für Mathematik 57 (1953), S. 75-87 
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    Monatshefte für Mathematik 57 (1953), S. 88-96 
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    Monatshefte für Mathematik 57 (1953), S. 97-101 
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    Monatshefte für Mathematik 57 (1953), S. 102-108 
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    Monatshefte für Mathematik 57 (1953), S. 109-112 
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    Monatshefte für Mathematik 57 (1953), S. 113-116 
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    Monatshefte für Mathematik 57 (1953), S. 129-133 
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    Monatshefte für Mathematik 57 (1953), S. 117-128 
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    Monatshefte für Mathematik 57 (1953), S. 134-139 
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    Monatshefte für Mathematik 57 (1953), S. 140-141 
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    Monatshefte für Mathematik 57 (1953), S. 142-169 
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    Monatshefte für Mathematik 57 (1953), S. 177-184 
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    Monatshefte für Mathematik 57 (1953), S. 170-176 
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    Monatshefte für Mathematik 57 (1953), S. 185-198 
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    Monatshefte für Mathematik 57 (1953), S. 199-216 
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    Monatshefte für Mathematik 57 (1953), S. 217-245 
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    Monatshefte für Mathematik 57 (1953), S. 246-254 
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    Monatshefte für Mathematik 57 (1953), S. 255-264 
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    Helgoland marine research 4 (1953), S. 260-315 
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    Helgoland marine research 4 (1953), S. 239-254 
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    Notes: Zusammenfassung Der im Verlauf zweier Jahre untersuchte Algenbewuchs der Fahrwassertonnen um Helgoland bestand aus Algen der Gezeiten-, Supra- und oberen Sublitoralzone. Ihre Häufigkeit entsprach durchweg den Helgoländer Verhältnissen, es fehlten jedoch die drei bei Helgoland sehr reichlich vorkommendenFucus-Arten (F. platycarpus, F. vesiculosus undF. serratus). Einige Algen (fädige Grünalgen,Bangia, Enteromorpha, Punctaria, Ceramium, Polysiphonia undLaminaria) konnten in gürtelförmigen Zonen auftreten; diese sind schmäler als am natürlichen Standort. Der Algenanwuchs verringert sich mit zunehmender Entfernung von der Insel.
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    Colloid & polymer science 131 (1953), S. 40-41 
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    Colloid & polymer science 131 (1953), S. 41-46 
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    Colloid & polymer science 131 (1953), S. 21-38 
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    Notes: Zusammenfassung Die wichtigsten Resultate der vorliegenden Arbeit sind folgende: Es ist gelungen, die Geschwindigkeiten verschiedener OberflÄchen-Prozesse (Austauscheffekte, adsorptiver Anlagerung und elementarer Mischkristallbildung) von Selbstadsorptionssystemen in AbhÄngigkeit von den entsprechenden freien Energien zahlenmÄ\ig zu erfassen und experimentell (mit Hilfe der radioaktiven Indikatormethode) weitgehend zu kontrollieren. In Weiterentwicklung der so gefundenen, neuartigen GesetzmÄ\igkeiten konnte u. a. gezeigt werden, da\ die Nernst-Brunnersche Theorie der Kinetik von AusfÄllungsprozessen aus flüssigen Lösungen in der NÄhe des Lösungsgleichgewichtes versagt und anstatt derselben ein neuartiger theoretischer Ansatz zur Geltung kommt. Die AktivierungswÄrme solcher OberflÄchenprozesse wurde als eine besondere Art von freier Energie aufgefa\t und auch berechnet, unter Zugrundelegung aperiodischer Oszillatormodelle für die an die OberflÄche anprallenden Teilchen, sowie mit Hilfe der Annahme von stationÄren ZustÄnden als Resultat entgegengesetzter Diffusionsbewegungen in der Grenzschicht. Die Zahlenwerte so berechneter AktivierungswÄrmen sind in gutem Einklang mit den bisherigen experimentellen Befunden. Als Konsequenz der vorliegenden Untersuchungen wurde eine Regel aufgestellt über den Zusammenhang von Austausch- und Adsorptionseffekten in Selbstadsorptionssystemen; auch diese Regel stimmt mit den bisherigen Erfahrungen sehr gut überein.
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    Colloid & polymer science 131 (1953), S. 46-46 
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    Colloid & polymer science 131 (1953), S. 74-83 
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    Notes: Zusammmenfassung In den meisten bekannt gewordenen Arbeiten, die sich mit der Druckabhängigkeit der Viskosität beschäftigen, wird für diese ein Exponentialgesetz angenommen, wie es im Bereich nicht allzu hoher Drücke mit guter Annäherung aus Viskositätsmessungen bei konstanter Temperatur ermittelt werden kann. Muskat und Evinger legen ein solches Exponentialgesetz für die Zunahme der Viskosität mit dem Druck ihren Untersuchungen über die Schmierung von ebenen Gleitschuhen zugrunde und erhalten für die Reibung unter konstanter Last in Abhängigkeit von der Gleitgeschwindigkeit einen Verlauf, der den bekannten Stribeck-Kurven ähnlich sieht, d. h. mit abnehmender Last zunächst ein Abnehmen der Reibung bis zu einem Minimum und danach ein Anwachsen. Der Unterschied gegenüber den Meßergebnissen besteht aber darin, daß die Theorie noch bei endlicher Geschwindigkeit ein asymptotisches Anwachsen der Reibung gegen Unendlich liefert, während die Messungen bis zur Gleitgeschwindigkeit Null herab noch endliche Werte der Reibung zeigen. Es wird nun in dem Bericht nachgewiesen, daß der aus der bisherigen Theorie gewonnene Verlauf allein auf das augrunde gelegte Exponentialgesetz zurückzuführen ist. Es ist besonders bei hochbelasteten Lagern die Temperatur im Innern der Schmierschicht im allgemeinen keineswegs konstant, sondern kann je nach der Art des Lagermaterials und der Wärmeabfuhr recht hohe Werte annehmen, die die Viskosität stark herabsetzen. Legt man daher an Stelle des Exponentialgesetzes z. B. ein Potenzgesetz, speziell ein Wurzelgesetz, das für kleinere Drücke dem ersteren beliebig nahekommt, für große Drücke jedoch erheblich niedrigere Werte der Viskosität liefert, den Rechnungen zugrunde, so zeigt sich der genannte Verlauf der Reibung nicht mehr, vielmehr nimmt sie mit abnehmender Geschwindigkeit monoton ab. Ein solches Ergebnis ist überzeugender. Denn wie bisher wiederholt experimentell nachgewiesen worden ist, ist das Anwachsen der Reibung nach Erreichen des Minimums bei abnehmender Geschwindigkeit auf den Einfluß der Mischreibung zurückzuführen. Ein solches Ergebnis kann aber die benutzte hydrodynamische Theorie allein nicht liefern, da in ihr die Anteile der Festkörperreibung neben der Flüssigkeitsreibung keine Berücksichtigung finden. An einem Zahlenbeispiel wird abschließend gezeigt, daß selbst bei einer Belastung von 100 kg/cm2 sich noch kein wesentlicher Unterschied in der Reibung bei höheren Gleitgeschwindigkeiten zeigt, wenn man das Exponentialgesetz mit dem Wurzelgesetz vergleicht, abge sehen davon, daß das erstere bereits bei endlicher kleiner Geschwindigkeit das Anwachsen gegen Unendlich liefert. Im Vergleich zu den Ergebnissen der Rechnung mit konstanter Viskosität zeigt die Berücksichtigung der Druckabhängigkeit bei einer Belastung von 10 kg/ cm2 keine Unterschiede in der Reibung, bei 100 kg/cm2 ei ne Erhöhung um etwa 6% und bei 500 kg/cm2 bereits eine Erhöhung um 20%.
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    Acta biotheoretica 11 (1953), S. 1-26 
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    Topics: Biology
    Notes: Summary After a short review of the historical development of the problem of cytoplasmic inheritance, the principles for the proof of cytoplasmic inheritance were discussed. At present the proof can be based on the maternal transmission of plasmagenes, on the missing of mendelian segregation and on the possibility of a segregation during ontogenetic development. In the following the most important possibilities for errors and their refutation onEpilobium were discussed: elimination of genotypes (examination of the elimination of gametes, zygotes, test of accidental distribution of chromosomes, crossing with tetrads), abnormal cytology (cytological investigation, crosses with hetero- and polyploids), maternal aftereffects (clone-multiplication), predetermination (exchange of nucleus by backcrossing), nuclear produced plasmagenes (contrarily acting cytoplasm and nucleus) and transmission of parasites or symbionts as virus (grafting). At the end the principles for the distinction between different cytoplasmic constituents were discussed.
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    Acta biotheoretica 10 (1953), S. 105-138 
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    Topics: Biology
    Description / Table of Contents: Résumé Suivant A. V.Hill on a développé dans une étude mathématique les formules qui se rapportent aux procédés de diffusion dans la physiologie. Pour l'introduction, on donne une explication des problèmes. Puis on fait suivre le développement mathématique (méthode de l'intégration deBernoulli, transformationLaplace) qui permettent l'intégration de l'équation différentielle de la diffusion. Dans la partie spéciale, on étudie des problèmes concrets de la physiologie respiratoire. Pour la diffusion dans des cylindres cellulaires on a trouvé le résultat de la concentration d'une substance en dépendance du lieu et du temps où on a tenu compte à une consommation constante. De même, on a réussi a résoudre le problème du changement temporel de la concentration moyenne. Il est nécessaire de traiter en particulier le cylindre dans des conditions spéciales c'est-à-dire quand il est approvisionné du dehors et d'un tube capillaire et central (cylindreKrogh). On a expliqué les équations différentielles par des cas spéciaux et par des tableaux numériques. Puis on a étudié la provisionnement stationnaire des cylindres cellulaires en cas que outre la composante de diffusion radiale, il faut tenir compte à une composante de diffusion axiale (Längsdiffusion). Les résultats obtenus par les formules développées correspondent bien aux valeurs trouvées par les expériences.
    Notes: Summary Following A. V.Hill, those formulae are developed in a mathematical research which are of interest in the field of physiological diffusion processes in cylindrical objects. At first, an introduction into the problem is given. Then a development follows of the mathematical methods (Bernoulli's method [Produktansatz],Laplace-transformation) which are suitable for the integration of the partial differential equation of the diffusion. The special part contains the investigation of problems which are importance for the physiology of respiration. Thus the query is answered for the concentration of a substance in dependance of time and place for the diffusion in tissue cylinders taking into consideration a constant rate of consumption, as well as the query of the temporal alteration of the average concentration. The cylinder fed from the outside and the one fed from a central capillary (Krogh's) must hereby be specially treated according to the boundary conditions. The developed equations are explained by special examples and numerical lists. Further, the steady state of supply of tissue cylinders is investigated in case that apart from the radial also an axial diffusion component (Längsdiffusion) has to be counted with. The numerical results from the developed formulae are in good agreement with the values found by experiments.
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    Acta biotheoretica 11 (1953), S. 27-44 
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    Acta biotheoretica 10 (1953), S. 139-212 
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