Global stability in consumer-resource cascades

 Models of population growth in consumer-resource cascades (serially arranged containers with a dynamic consumer population, v, receiving a flow of resource, u, from the previous container) with a functional response of the form h(u/v ^b ) are investigated. For b∈[0, 1], it is shown that these models have a globally stable equilibrium. As a result, two conclusions can be drawn: (1) Consumer density dependence in the functional or in the per-capita numerical response can result in persistence of the consumer population in all containers. (2) In the absence of consumer density dependence, the consumer goes extinct in all containers except possibly the first. Several variations of this model are discussed including replacing discrete containers by a spatial continuum and introducing a dynamic resource. Received 25 February 1995 / received in revised form 27 July 1995     

Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations

 In this paper we study the existence of one-dimensional travelling wave solutions u(x, t)=φ(x−ct) for the non-linear degenerate (at u=0) reaction-diffusion equation u _t =[D(u)u _x ] _x +g(u) where g is a generalisation of the Nagumo equation arising in nerve conduction theory, as well as describing the Allee effect. We use a dynamical systems approach to prove: 1. the global bifurcation of a heteroclinic cycle (two monotone stationary front solutions), for c=0, 2. The existence of a unique value c ^*>0 of c for which φ(x−c ^* t) is a travelling wave solution of sharp type and 3. A continuum of monotone and oscillatory fronts for c≠c ^*. We present some numerical simulations of the phase portrait in travelling wave coordinates and on the full partial differential equation. Received 15 December 1995; received in revised form 14 May 1996     

Bounds on the total particle number for species governed by reaction-diffusion equations in the infinite spatial domain

Differential inequality methods are developed for establishing upper and lower bounds on the total particle numberN(t)=∫θ(x,t) d³ x associated with solutions to nonlinear reaction-diffusion equations of the form ∂θ/∂t=D∇²θ+fθ-gθ ⁿ⁺¹ , whereD(>0),n(>0),f andg are constant parameters. If finite in a neighborhood oft=0,N(t) is bounded below for allt≥0 by a certain derived function oft for equations withg≥0. An upper bound onN(t) is obtained for equations withn=1,f<0 andg<0. These results provide general preservation and extinction criteria for the total particle number.     

Energetics of swimming at maximal speeds in humans

The energy cost per unit of distance (C _s, kilojoules per metre) of the front-crawl, back, breast and butterfly strokes was assessed in 20 elite swimmers. At sub-maximal speeds (v), C _s was measured dividing steady-state oxygen consumption (V˙O₂) by the speed (v, metres per second). At supra-maximal v, C _s was calculated by dividing the total metabolic energy (E, kilojoules) spent in covering 45.7, 91.4 and 182.9 m by the distance. E was obtained as: E = E _an+V˙O_2max t _p−V˙O_2max(1−e^{−( t p/)}), where E _an was the amount of energy (kilojoules) derived from anaerobic sources, V˙O_2max litres per second was the maximal oxygen uptake, α (=20.9 kJ · l O₂ ⁻¹) was the energy equivalent of O₂, τ (24 s) was the time constant assumed for the attainment of V˙O_2max at muscle level at the onset of exercise, and t _p (seconds) was the performance time. The lactic acid component was assumed to increase exponentially with t _p to an asymptotic value of 0.418 kJ · kg⁻¹ of body mass for t _p ≥ 120 s. The lactic acid component of E _an was obtained from the net increase of lactate concentration after exercise (Δ[La]_b) assuming that, when Δ[La]_b = 1 mmol · l⁻¹ the net amount of metabolic energy released by lactate formation was 0.069 kJ · kg⁻¹. Over the entire range of v, front crawl was the least costly stroke. For example at 1 m · s⁻¹, C _s amounted, on average, to 0.70, 0.84, 0.82 and 0.124 kJ · m⁻¹ in front crawl, backstroke, butterfly and breaststroke, respectively; at 1.5 m · s⁻¹, C _s was 1.23, 1.47, 1.55 and 1.87 kJ · m⁻¹ in the four strokes, respectively. The C _s was a continuous function of the speed in all of the four strokes. It increased exponentially in crawl and backstroke, whereas in butterfly C _s attained a minimum at the two lowest v to increase exponentially at higher v. The C _s in breaststroke was a linear function of the v, probably because of the considerable amount of energy spent in this stroke for accelerating the body during the pushing phase so as to compensate for the loss of v occurring in the non-propulsive phase. Accepted: 14 April 1998     

Linkage relationships among molecular markers and storage root traits of carrot (Daucus carota L. ssp. sativus)

 A 109-point linkage map consisting of three phenotypic loci (P ₁, Y ₂, and Rs), six restriction fragment length polymorphisms (RFLPs), two random amplified polymorphic DNAs (RAPDs), 96 amplified fragment length polymorphisms (AFLPs), and two selective amplification of microsatellite polymorphic loci (SAMPL) was constructed for carrot (Daucus carota L. ssp. sativus; 2n=2x=18). The incidence of polymorphism was 36% for RFLP probes, 20% for RAPD primers, and 42% for AFLP primers. The overall incidence of disturbed segregation was 18%. Linkage relationships at a LOD score of 4.0 and θ=0.25 indicated 11 linkage groups. The total map length was 534.4 cM and the map was clearly unsaturated with markers spaced at 4.9 cM. AFLP P6B15 was 1.7 cM from P ₁, AFLP P1B34 was 2.2 cM from Y ₂, and AFLP P3B30XA was 8.1 cM from Rs. Received: 2 September 1998 / Accepted: 28 November 1998     

Selection of an adhesive phenotype of Streptococcus salivarius subsp. thermophilus for use in fixed-bed reactors

 Streptococcus salivarius subsp. thermophilus was cultivated in a chemostat in order to obtain an adhesive phenotype of this strain. When the system was operated at low dilution rates (D<0.2 h^-1) for about 4 weeks, the strain formed a visible film on the surface of the culture vessel. The biofilm cells were not washed out even when dilution rates were increased (D=6.9 h^-1), and this resulted in a high biomass productivity (P=4.1 g l^-1h^-1). On the other hand, when the culture was grown at dilution rates faster than 0.2 h^-1, only the free suspended cells were present in the culture broth, and were washed out at velocities of about 1.0 h^-1. The biomass productivity was consequently lower (P=1.33 g l^-1h^-1) than in the previous case. The selected adhesive phenotype was grown on different glass beads and the possibility of lactate fermentation in a continuous and semicontinuous mode was demonstrated. Received: 16 August 1995/Received revision: 18 March 1996/Accepted: 25 March 1996     

Coordination dynamics of trajectory formation

 The present study aims to understand the neurally based coordination dynamics (multistability, loss of stability, transitions, etc.) of trajectory formation in a simple task. Six subjects produced two spatial patterns of coordination in the xy plane by alternating the abduction-adduction and flexion-extension motions of their right index finger. Each pattern was characterized by a unique temporal ratio between the x and y directions of motion: (1) a figure zero, a 1:1 temporal pattern; and (2) a figure eight, a 2:1 temporal pattern. The patterns were produced rhythmically and movement frequency was scaled across ten frequency plateaus, with ten cycles of motion per step. As movement frequency increased, switching from a figure eight to a figure zero was observed at critical cycling frequencies. The switch from pattern (2) to pattern (1) was identified in the spatial trajectory and power spectra of x(t) and y(t). En route to the transition, enhancement of fluctuations was observed in the Fourier amplitudes of x(t) and y(t), specifically at f ₀ (the metronome frequency) and 2f ₀ (the first harmonic of f ₀). Interestingly, there was no difference in the spatial variability of the two patterns. Overall, the data demonstrate that spatial patterns of coordination can be characterized in terms of the temporal relationship between the spatial components of the trajectory itself. We discuss the experimental findings in relation to other end-point planning and multijoint control strategies, as well as the much more general problem of temporal synchronization in many interlimb and intralimb coordination tasks. Received: 24 February 1995/Accepted in revised form: 8 August 1995     

Electrogenic cation transport across leech caecal epithelium

 Electrogenic cation transport across the caecal epithelium of the leech Hirudo medicinalis was investigated using modified Ussing chambers. Transepithelial resistance (R _T ) and potential difference (V _T ) were 61.0±3.5 Ω ⋅ cm² and −1.1±0.2 mV (n=149), respectively, indicating that leech caecal epithelium is a “leaky” epithelium. Under control conditions short circuit current (I _SC ) and transepithelial Na⁺ transport rate (I _Na ) averaged at 22.1±1.5 μA ⋅ cm^-2 and 49.7±2.6 μA ⋅ cm^-2, respectively. Mucosal application of amiloride (100 μmol ⋅ l^-1) or benzamil (50 μmol ⋅ l^-1) influenced neither I _SC nor I _Na . The transport system in the apical membrane showed no pronounced cation selectivity and a linear dependence on mucosal Na⁺ concentration. Removal of mucosal Ca²⁺ increased I _SC by about 50% due to an increase of transepithelial Na⁺ transport. Trivalent cations (La³⁺ and Tb³⁺, 1 mmol ⋅ l^-1 both) added to the mucosal Ringer solution reduced I _Na by more than 40%. Serosal ouabain (1 mmol ⋅ l^-1) almost halved I _SC and I _Na while 0.1% (=5.4 mmol ⋅ l^-1) DNP decreased I _Na to 11.8±5.1% of initial values. Serosal addition of cAMP increased both I _SC and I _Na whereas the neurotransmitters FMRFamide, acetylcholine, GABA, L-dopa, serotonin and dopamine failed to show any effects; octopamine, glycine and L-glutamate reduced I _Na markedly. On the basis of these results we conclude that in leech caecal epithelium apical uptake of monovalent cations is mediated by non-selective cation conductances which are sensitive to extracellular Ca²⁺ but insensitive to amiloride. Basolaterally Na⁺ is extruded via ouabain-sensitive and -insensitive ATPases. cAMP activates Na⁺ transport across leech caecal epithelium, although the physiological stimulus for cAMP-production remains unknown. Accepted: 20 May 1996     

Karyology and cytotaxonomy of the genus Passiflora L. (Passifloraceae)

 The chromosomes of 31 species of Passiflora, distributed throughout the subgenera Astrophea, Calopathanthus, Distephana, Dysosmia, Passiflora, Plectostemma and Tacsonia were analysed. Three different karyotypes were observed: 2n = 12, 24, 36; 2n = 18, 72 and 2n = 20. The karyotype of these species was almost always constituted of metacentric and submetacentric chromosomes with variable karyotype symmetry. In the group with x = 6, represented by the subgenus Plectostemma, six diploid species with 2n = 12, one tetraploid with 2n = 24 (P. suberosa) and an intraspecific polyploid with 2n = 12, 36 (P. misera) were analysed. P. pentagona (subgenus Astrophea) may also be included in this karyological group since it presents 2n = 24 and may be of polyploid origin, with x = 6. The interphase nuclei in this group were areticulate, except those of P. morifolia and P. pentagona with semi-reticulate characteristics. Two small terminal heterochromatic blocks, positive for chromomycin A₃, were identified in the largest chromosome pair of P. capsularis and P. rubra, species very closely related, while P. tricuspis displayed four chromosomes with proximal blocks. In the group with x = 9, represented mainly by subgenus Passiflora, 20 species with 2n = 18 and one with 2n = 72 were studied. They presented chromosomes larger than those species with x = 6 and interphase nuclei of semi-reticulate type, except for P. mixta with areticulate nuclei. Four terminal CMA⁺ blocks were observed in P. edulis, six blocks in P. caerulea and P. racemosa, while five blocks were observed in the single P. amethystina plant analysed. P. foetida (subgenus Dysosmia), the only species with 2n = 20, exhibited six chromosomes with CMA⁺ blocks and interphase nuclei of the areticulate type. The meiotic analysis of representatives of the three groups (P. foetida, P. suberosa, P. cincinnata and P. racemosa) always presented regular pairing and regular chromosome segregation, except in P. jilekii where a tetravalent was observed. The analysis of the chromosome variation within the genus and the family suggests that the base number of Passiflora may be x₁ = 6 or x₁ = 12, whereas x₂ = 9 is only an important secondary base number. Received April 11, 2000 Accepted October 5, 2000     

Effect of ferrous iron concentration on the catalytic activity of immobilized cells of Thiobacillus ferrooxidans

 The kinetics of continuous oxidation of ferrous iron by immobilized cells of Thiobacillus ferrooxidans was studied in a packed-bed bioreactor. Polyurethane foam biomass support particles were used as carriers for cell immobilization. Effects of ferrous iron concentration and its volumetric loading on the kinetics of the reaction were investigated. Media containing different concentrations of ferrous iron in the range 5–20 kg m^-3 were tested. For each medium the kinetics of the reaction at different volumetric loadings of ferrous iron, at a constant temperature of 30^°C, were determined. With media containing 5 kg m^-3 and 10 kg m^-3 Fe²⁺, the fastest oxidation rates of 34.25 kg m^-3 h^-1 and 32 kg m^-3 h^-1 were achieved at a dilution rate of around 6 h^-1, which represents a residence time of 10 min. Employing a higher concentration of ferrous iron (20 kg m^-3) in the medium resulted in lower oxidation rates, with a maximum value of 10 kg m^-3 h^-1, indicating an inhibitory effect of ferrous iron on growth and activity of T. ferrooxidans. The reliable performance of the bioreactor during the course of the experiments confirmed the suitability of polyurethane foam biomass support particles as carriers for T. ferrooxidans immobilization. Received: 5 December 1995/Received revision: 21 April 1996/Accepted: 29 April 1996     

A mathematical model for drug administration by using the phagocytosis of red blood cells

 A mathematical model for the delivery of drug directly to the macrophages by using the phagocytosis of senescent red blood cells is proposed. The model is based on the following assumption: At time t=0 a preassigned red blood cell population n(0, a)=φ(a), a>0, loaded by the drug, is injected in the blood circulation. Among the cells of that population only those with an age a≧ā (ā=120 days) will be phagocytosed by macrophages. Of course, the lifetime of the drug must be higher than ā. Within the red blood cells it cannot be metabolized, neither can it diffuse through their membranes. The emphasis of the paper is on the mathematical properties and on the formulation of the control problem. Received 15 December 1994; received in revised form 20 July 1995     

A unique coral reef formation discovered on the Great Astrolabe Reef, Fiji

 A spectacular mound-like reef formation (126 m in circumference, 10 m high) dominated by highly arched and record-size colonies of the unattached mushroom coral Halomitra pileus, along with 17 other species of the family Fungiidae, occurs in 31 m of water on the sedimentary lagoon floor of the Great Astrolabe Reef, Fiji. Core samples show radiocarbon dates which indicate that the formation hypothetically began building ∼4500 y ago, with a calculated mean accretion rate of 2.2 mm ⋅ y^-1. The majority of fossil and living material is contributed by H. pileus colonies between 40–70 cm mean diameter, with some individuals up to 1.5 m in diameter. The size, fungiid diversity, and geological history of the bioherm is unprecedented and represents the first example of a coral reef constructed almost entirely by Fungiidae. Accepted: 29 July 1996     

Analysis of a mathematical model for the growth of tumors

 In this paper we study a recently proposed model for the growth of a nonnecrotic, vascularized tumor. The model is in the form of a free-boundary problem whereby the tumor grows (or shrinks) due to cell proliferation or death according to the level of a diffusing nutrient concentration. The tumor is assumed to be spherically symmetric, and its boundary is an unknown function r=s(t). We concentrate on the case where at the boundary of the tumor the birth rate of cells exceeds their death rate, a necessary condition for the existence of a unique stationary solution with radius r=R ₀ (which depends on the various parameters of the problem). Denoting by c the quotient of the diffusion time scale to the tumor doubling time scale, so that c is small, we rigorously prove that (i) lim inf _t→∞ s(t)>0, i.e. once engendered, tumors persist in time. Indeed, we further show that (ii) If c is sufficiently small then s(t)→R ₀ exponentially fast as t→∞, i.e. the steady state solution is globally asymptotically stable. Further, (iii) If c is not “sufficiently small” but is smaller than some constant γ determined explicitly by the parameters of the problem, then lim sup _t→∞ s(t)<∞; if however c is “somewhat” larger than γ then generally s(t) does not remain bounded and, in fact, s(t)→∞ exponentially fast as t→∞. Received: 25 February 1998 / Revised version: 30 April 1998     

Microbial sensors for naphthalene using Sphingomonas sp. B1 or Pseudomonas fluorescens WW4

 Amperometric biosensors for naphthalene were developed using either immobilized Sphingomonas sp. B1 or Pseudomonas fluorescens WW4 cells. The microorganisms were immobilized within a polyurethane-based hydrogel, which was used for a microbial biosensor for the first time. Both strains were shown to be equally suited for the quantification of naphthalene in aqueous solutions. The biosensors were tested in a flow-through system and a stirred cell (batch method). In both systems a linear response down to the detection limit was obtained. Measurements in the flow-through system gave sensitivities of up to 1.2 nA mg⁻¹ l⁻¹ and a linear range from 0.03 mg/l to 2.0 mg/l. The response time (t ₉₅) was 2 min and the sample throughput six per hour; the repeatability was within ±5 %. With the batch method, sensitivities of between 3 nA mg⁻¹ l⁻¹ and 5 nA mg⁻¹l⁻¹ and a linear range of 0.01–3.0 mg/l were obtained; the response time was between 3 min and 5 min. The sensors reached an operational lifetime of up to 20 days. The sensitivity of both sensors for naphthalene was, in most cases, more than four times higher than for various other substrates. Received: 18 October 1995/Received revision: 22 December 1995/Accepted: 22 January 1996     

Observations on the thermal conductance of Adélie (Pygoscelis adeliae) and Humboldt (Spheniscus humboldti) penguins

 Analyses of cooling rates in one Adélie and one Humboldt penguin yielded calculated thermal conductance values of 0.1040 and 0.1672 W(kg ^°C)^-1, respectively. We review the methods used to calculate penguin surface area, an important component in calculating conductance values, and suggest that, in comparative studies of thermal balance, the use of body mass is a better estimator of body size than surface area. Using previously published data on penguin species, we found a significant model to predict thermal conductance from body mass according to: log C= log 0.1083−0.474 log M, where C is minimal specific thermal conductance in W(kg ^°C)^-1 and M is body mass in kilograms. Received: 13 June 1995/Accepted: 11 March 1996     

A MP2 and DFT study of the aromatic character of polyphosphaphospholes. Is the pyramidality the only factor to take into consideration?

A comprehensive MP2/6-311 + G(d,p) and B3LYP/6-311 + G(d,p) study of the aromatic character of phospholes, P _n (CH)_4-n PH with n = 0-4 was conducted. For this purpose, the structures for these compounds were optimized at both theoretical levels and different magnetic properties (magnetic susceptibility anisotropy, χ_anis, and the nucleus-independent chemical shifts, NICS) were evaluated. For comparison, these magnetic properties were also calculated in the optimized structures with planarity constraints. We have also applied the ACID (anisotropy of the current-induced density) method in this analysis. The main conclusions are the aromatic character of these compounds, the relationship between aromaticity and planarity and the importance of other factors in this aromaticity.     

Über den Ertragsverlauf bei Steigender Nährstoffkonzentration

Zusammenfassung In N?hrstoff-Steigerungsversuchen mit h?heren Pflanzen oder mit Mikro-organismen wird in der Regel die N?hrstoffgabex variiert, wobei diese meist vor oder bei Versuchsbeginn verabreicht wird. Man kann jedoch auch so vorgehen, dass man die N?hrstoffkonzentrationu variiert, wobei die Konzentrationu bei jeder einzelnen Variante w?hrend der ganzen Wachstumszeit konstant gehalten wird. In der vorliegenden Arbeit wird untersucht, wie sich der Ertrag an Organismenmasse,y, bei steigender N?hrstoffkonzentrationu verh?lt. Bei Bakterien nimmt der “Ertragszuwachs” ∂y/∂u in jedem abgeschlossenen Konzentrationsbereich, in dem der Ertrag durch Erh?hung der N?hrstoffkonzentrationu gef?rdert wird, entweder von Anfang an oder von einem wohlbestimmten sp?teren Zeitpunkt an mit wachsendemu durchweg zu, sofern die Tochterindividuen immer wieder die gleichen Bedingungen vorfinden wie die Ausgangsindividuen. ?hnlich dürften die Verh?ltnisse bei anderen Mikroorganismen liegen. Auch bei h?heren Pflanzen nimmt der “Ertragszuwachs” ∂y/∂u im aufsteigenden Ast dei Ertragskurve unter gewissen Voraussetzungen mit wachsendemu zu. Diese Ergebnisse erh?lt man, wenn man die Abh?ngigkeit des Ertrages von der Zeit einerseits und von der N?hrstoffkonzentration andererseits im Zusammenhang betrachtet. Die gewonnenen Resultate widerlegen die weitverbreitete Ansicht, der “Ertragszuwachs” nehme mit steigender N?hrstoffversorgung stets ab. Mithin ist das sogenannte “Gesetz vom abnehmenden Ertragszuwachs” kein allgemeingültiges Naturgesetz.     

Uptake of lactose and continuous lactic acid fermentation by entrapped non-growing Lactobacillus helveticus in whey permeate

 Continuous production of lactic acid from lactose has been carried out in a stirred-tank reactor with non-growing Lactobacillus helveticus entrapped in calcium alginate beads. A considerably longer operation half-life was obtained in a continuously operated reactor than in a batch-operated reactor. It is possible to simulate the action of entrapped non-growing cells on the basis of information from diffusion and kinetic experiments with suspended free cells. The simulation fit the experimental data over a broad range of substrate concentrations if the specific lactic acid production rate, q _P, was used as a variable parameter in the model. The dynamic mathematical model used is divided into three parts: the reactor model, which describes the mass balance in a continuously operated stirred-tank reactor with immobilized biomass, the mass-transfer model including both external diffusion and internal mass transfer, and the kinetic model for uptake of substrate on the basis of a Michaelis-Menten-type mechanism. From kinetic data obtained for free biomass experiments it was found, with the use of non-linear parameter estimation techniques, that the conversion rate of lactose by L. helveticus followed a Michaelis-Menten-type mechanism with K _S at half-saturation=0.22±0.01 g/l. The maximum specific lactose uptake rate for growing cells, q _S,max, varied between 4.32±0.02 g lactose g cells^-1 h^-1 and 4.89 ±0.02 g lactose g cells^-1 h^-1. The initial specific lactose uptake rate for non-growing cells, q _S,0, was found to be approximately 40% of the maximum specific lactose uptake rate for growing cells. Received: 4 October 1995/Received last revision: 23 April 1996/Accepted: 29 April 1996     

Effects of saturated fatty acids on amylase release from exocrine pancreatic segments of sheep,rats, hamsters,field voles and mice

 Stimulatory effects of saturated fatty acids consisting of 4 (butyrate), 8 (octanoate), 12 (laurate) and 16 (palmitate) carbon atoms, as well as acetylcholine on pancreatic amylase release were assessed in tissue segments isolated from sheep, rats, hamsters, field voles and mice. The amount of amylase release induced by the fatty acids (1 μmol ⋅ l^-1 to 10 mml ⋅ l^-1) and by acetylcholine (10 nmol ⋅ l^-1 to 100 μmol ⋅ l^-1) increased in a concentration-dependent manner, and the maximum response in response to the fatty acids was obtained at the maximal dose used. The maximum increase in amylase release in response to butyrate or octanoate was highly and significantly (r=0.974, P<0.001) dependent on the log value of the mean body mass in the following order: sheep>rats>hamsters>field voles>mice. On the other hand, the response to laurate and palmitate was variable among animal species. Addition of atropine (1.4 μmol ⋅ l^-1) to the medium did not reduce the responses to octanoate stimulation, but significantly reduced acetylcholineinduced responses, implying that the effects of the fatty acids were not mediated through activation of muscarinic acetylcholine receptors. Reduction of calcium ion concentration in the medium significantly inhibited the responses induced by the fatty acids and acetylcholine, suggesting that amylase release depends on extracellular calcium ions. Accepted: 14 May 1996     

Changes in cellular proteins ofDeinococcus radiodurans followingγ-irradiation

  In order to examine radiation-induced proteins in an extremely radioresistant bacterium, Deinococcus radiodurans R ₁, changes in cellular proteins after γ-irradiation were analysed by two-dimensional gel electrophoresis and silver staining. Nine proteins (190, 120, 87, 60, 58, 52, 46, 41 and 41 kDa) were increased (or appeared) and more than 13 proteins diminished after γ-irradiation at 6 kGy. Increase of eight proteins (except for 190-kDa protein) was prevented when the cells were irradiated in the presence of chloramphenicol. Three proteins, 87, 60 and 46 kDa, continued to be synthesized during post-irradiation incubation, and the amounts of these proteins increased with higher doses in a range of 1 – 12 kGy. Changes in the amount of proteins after irradiation in the R  ₁ strain were compared with those in a moderately radioresistant mutant (rec 1) and in a highly radiosensitive mutant (rec30). These three proteins were increased in both R ₁ and rec 1, but not in rec 30, suggesting that they are characteristic for radioresistant strains. In addition, from the microsequence analysis, the 46-kDa protein was found to be homologous to the EF-Tu protein of Escherichia coli, whereas the remarkable homologous sequence to the N-terminal of the 60-kDa protein was not found among the known proteins. Received: 28 March 1995 / Accepted in revised form: 16 January 1996