Comput Math Methods Med - Solutions of a linearized mathematical model for capillary formation in tumor angiogenesis: an initial data perturbation approximation.

Tópicos

{ model(3480) simul(1196) paramet(876) }
{ cancer(2502) breast(956) screen(824) }
{ detect(2391) sensit(1101) algorithm(908) }
{ imag(2675) segment(2577) method(1081) }
{ framework(1458) process(801) describ(734) }
{ structur(1116) can(940) graph(676) }
{ studi(2440) review(1878) systemat(933) }
{ problem(2511) optim(1539) algorithm(950) }
{ concept(1167) ontolog(924) domain(897) }
{ general(901) number(790) one(736) }
{ data(3963) clinic(1234) research(1004) }
{ studi(1410) differ(1259) use(1210) }
{ visual(1396) interact(850) tool(830) }
{ state(1844) use(1261) util(961) }
{ signal(2180) analysi(812) frequenc(800) }
{ activ(1138) subject(705) human(624) }
{ activ(1452) weight(1219) physic(1104) }
{ model(3404) distribut(989) bayesian(671) }
{ can(774) often(719) complex(702) }
{ imag(1947) propos(1133) code(1026) }
{ data(1737) use(1416) pattern(1282) }
{ inform(2794) health(2639) internet(1427) }
{ system(1976) rule(880) can(841) }
{ measur(2081) correl(1212) valu(896) }
{ imag(1057) registr(996) error(939) }
{ bind(1733) structur(1185) ligand(1036) }
{ sequenc(1873) structur(1644) protein(1328) }
{ method(1219) similar(1157) match(930) }
{ featur(3375) classif(2383) classifi(1994) }
{ imag(2830) propos(1344) filter(1198) }
{ network(2748) neural(1063) input(814) }
{ patient(2315) diseas(1263) diabet(1191) }
{ take(945) account(800) differ(722) }
{ motion(1329) object(1292) video(1091) }
{ assess(1506) score(1403) qualiti(1306) }
{ treatment(1704) effect(941) patient(846) }
{ surgeri(1148) surgic(1085) robot(1054) }
{ error(1145) method(1030) estim(1020) }
{ chang(1828) time(1643) increas(1301) }
{ learn(2355) train(1041) set(1003) }
{ clinic(1479) use(1117) guidelin(835) }
{ algorithm(1844) comput(1787) effici(935) }
{ extract(1171) text(1153) clinic(932) }
{ method(1557) propos(1049) approach(1037) }
{ data(1714) softwar(1251) tool(1186) }
{ design(1359) user(1324) use(1319) }
{ control(1307) perform(991) simul(935) }
{ model(2220) cell(1177) simul(1124) }
{ care(1570) inform(1187) nurs(1089) }
{ method(984) reconstruct(947) comput(926) }
{ search(2224) databas(1162) retriev(909) }
{ featur(1941) imag(1645) propos(1176) }
{ case(1353) use(1143) diagnosi(1136) }
{ howev(809) still(633) remain(590) }
{ risk(3053) factor(974) diseas(938) }
{ perform(999) metric(946) measur(919) }
{ research(1085) discuss(1038) issu(1018) }
{ system(1050) medic(1026) inform(1018) }
{ import(1318) role(1303) understand(862) }
{ model(2341) predict(2261) use(1141) }
{ compound(1573) activ(1297) structur(1058) }
{ perform(1367) use(1326) method(1137) }
{ studi(1119) effect(1106) posit(819) }
{ blood(1257) pressur(1144) flow(957) }
{ spatial(1525) area(1432) region(1030) }
{ record(1888) medic(1808) patient(1693) }
{ health(3367) inform(1360) care(1135) }
{ monitor(1329) mobil(1314) devic(1160) }
{ ehr(2073) health(1662) electron(1139) }
{ research(1218) medic(880) student(794) }
{ patient(2837) hospit(1953) medic(668) }
{ model(2656) set(1616) predict(1553) }
{ data(2317) use(1299) case(1017) }
{ age(1611) year(1155) adult(843) }
{ medic(1828) order(1363) alert(1069) }
{ cost(1906) reduc(1198) effect(832) }
{ group(2977) signific(1463) compar(1072) }
{ sampl(1606) size(1419) use(1276) }
{ gene(2352) biolog(1181) express(1162) }
{ data(3008) multipl(1320) sourc(1022) }
{ first(2504) two(1366) second(1323) }
{ intervent(3218) particip(2042) group(1664) }
{ time(1939) patient(1703) rate(768) }
{ patient(1821) servic(1111) care(1106) }
{ use(2086) technolog(871) perceiv(783) }
{ can(981) present(881) function(850) }
{ analysi(2126) use(1163) compon(1037) }
{ health(1844) social(1437) communiti(874) }
{ high(1669) rate(1365) level(1280) }
{ use(976) code(926) identifi(902) }
{ use(1733) differ(960) four(931) }
{ drug(1928) target(777) effect(648) }
{ result(1111) use(1088) new(759) }
{ implement(1333) system(1263) develop(1122) }
{ survey(1388) particip(1329) question(1065) }
{ estim(2440) model(1874) function(577) }
{ decis(3086) make(1611) patient(1517) }
{ process(1125) use(805) approach(778) }
{ method(1969) cluster(1462) data(1082) }
{ method(2212) result(1239) propos(1039) }

Resumo

We present a mathematical model for capillary formation in tumor angiogenesis and solve it by linearizing it using an initial data perturbation method. This method is highly effective to obtain solutions of nonlinear coupled differential equations. We also provide a specific example resulting, that even a few terms of the obtained series solutions are enough to have an idea for the endothelial cell movement in a capillary. MATLAB-generated figures are provided, and the stability criteria are determined for the steady-state solution of the cell equation.

Resumo Limpo

present mathemat model capillari format tumor angiogenesi solv linear use initi data perturb method method high effect obtain solut nonlinear coupl differenti equat also provid specif exampl result even term obtain seri solut enough idea endotheli cell movement capillari matlabgener figur provid stabil criteria determin steadyst solut cell equat

Resumos Similares

Comput Math Methods Med - Analytical solutions for the mathematical model describing the formation of liver zones via Adomian's method. ( 0,85462322612169 )
Comput Math Methods Med - Numerical solutions for a model of tissue invasion and migration of tumour cells. ( 0,832677599132923 )
Brief. Bioinformatics - Choosing appropriate models for protein-protein interaction networks: a comparison study. ( 0,826370967821784 )
Comput Math Methods Med - A mathematical model of cancer treatment by radiotherapy. ( 0,810872283059248 )
Comput Math Methods Med - Dynamics analysis and simulation of a modified HIV infection model with a saturated infection rate. ( 0,808972693063033 )
Comput Biol Chem - An efficient nonlinear finite-difference approach in the computational modeling of the dynamics of a nonlinear diffusion-reaction equation in microbial ecology. ( 0,808831133752214 )
Comput Methods Programs Biomed - Development of a computer algorithm for feedback controlled electrical nerve fiber stimulation. ( 0,794917427216249 )
Comput. Biol. Med. - Examples of testing global identifiability of biological and biomedical models with the DAISY software. ( 0,792444942378585 )
Comput Methods Programs Biomed - Reprint of Pharmacokinetic modelling of the anti-malarial drug artesunate and its active metabolite dihydroartemisinin. ( 0,792165172885045 )
J Integr Bioinform - An advanced environment for hybrid modeling of biological systems based on modelica. ( 0,783643291704712 )
Comput. Biol. Med. - Modelling and simulating reaction-diffusion systems using coloured Petri nets. ( 0,781814348971488 )
Wiley Interdiscip Rev Syst Biol Med - A conceptual framework for computational models of Achilles tendon homeostasis. ( 0,778915197920801 )
Comput. Biol. Med. - ODE/PDE analysis of corneal curvature. ( 0,776713057528075 )
Comput Math Methods Med - Modeling schistosomiasis and HIV/AIDS codynamics. ( 0,776047121602868 )
Neural Comput - Effect of phase response curve skewness on synchronization of electrically coupled neuronal oscillators. ( 0,77397879053618 )
Comput Methods Programs Biomed - Functionality of the baroreceptor nerves in heart rate regulation. ( 0,771854798370454 )
Comput Math Methods Med - Computational modeling of microabscess formation. ( 0,77005354108682 )
Comput. Biol. Med. - Phase lagging model of brain response to external stimuli-modeling of single action potential. ( 0,763167254559972 )
Med Biol Eng Comput - CSF dynamic analysis of a predictive pulsatility-based infusion test for normal pressure hydrocephalus. ( 0,761403784952991 )
Med Decis Making - The influence of disease risk on the optimal time interval between screens for the early detection of cancer: a mathematical approach. ( 0,758169198799424 )
Comput. Biol. Med. - Network and Nakamura tridiagonal computational simulation of electrically-conducting biopolymer micro-morphic transport phenomena. ( 0,757047851205811 )
Neural Comput - Analytical integrate-and-fire neuron models with conductance-based dynamics and realistic postsynaptic potential time course for event-driven simulation strategies. ( 0,756983410565949 )
Wiley Interdiscip Rev Syst Biol Med - Influenza A virus infection kinetics: quantitative data and models. ( 0,756460067624217 )
Comput Math Methods Med - Global hopf bifurcation on two-delays leslie-gower predator-prey system with a prey refuge. ( 0,754966689784286 )
Comput Math Methods Med - Modeling innate immune response to early Mycobacterium infection. ( 0,748564570862328 )
Neural Comput - Cross-talk induces bifurcations in nonlinear models of synaptic plasticity. ( 0,74837655197419 )
Comput Math Methods Med - ModeLang: a new approach for experts-friendly viral infections modeling. ( 0,746188204397263 )
Comput. Biol. Med. - Modeling multiple experiments using regularized optimization: A case study on bacterial glucose utilization dynamics. ( 0,739144875666709 )
J Clin Monit Comput - The standard strong ion difference, standard total titratable base, and their relationship to the Boston compensation rules and the Van Slyke equation for extracellular fluid. ( 0,731386338973561 )
Neural Comput - Computing confidence intervals for point process models. ( 0,725523538628841 )
Comput Biol Chem - A stochastic evolution model for residue Insertion-Deletion Independent from Substitution. ( 0,724622396611338 )
Comput. Biol. Med. - Numerical investigation into blood clotting at the bone-dental implant interface in the presence of an electrical stimulus. ( 0,715841335407454 )
Comput Methods Programs Biomed - An efficient passive planar micromixer with ellipse-like micropillars for continuous mixing of human blood. ( 0,715247081092201 )
Comput Math Methods Med - A theoretical model for the transmission dynamics of the Buruli ulcer with saturated treatment. ( 0,710670657403402 )
Comput. Biol. Med. - epiModel: a system to build automatically systems of differential equations of compartmental type-epidemiological models. ( 0,709586242116153 )
Comput Math Methods Med - Numerical stability of partitioned approach in fluid-structure interaction for a deformable thin-walled vessel. ( 0,706126938168827 )
IEEE Trans Vis Comput Graph - Paraglide: Interactive Parameter Space Partitioning for Computer Simulations. ( 0,705906460533367 )
Comput. Biol. Med. - Simulated temperature distribution of the proximal forearm. ( 0,703739171754942 )
Comput. Biol. Med. - Semi-computational simulation of magneto-hemodynamic flow in a semi-porous channel using optimal homotopy and differential transform methods. ( 0,702740385382544 )
Comput. Biol. Med. - Mathematical modeling of brain glioma growth using modified reaction-diffusion equation on brain MR images. ( 0,701032579707894 )
Lifetime Data Anal - Bayesian dynamic regression models for interval censored survival data with application to children dental health. ( 0,697734830503291 )
IEEE Trans Image Process - Efficiency of semi-implicit schemes for anisotropic diffusion in the hypercube. ( 0,6971690805579 )
Comput Methods Programs Biomed - Automatically designed machine vision system for the localization of CCA transverse section in ultrasound images. ( 0,696160855781183 )
Comput Math Methods Med - Towards patient-specific modeling of coronary hemodynamics in healthy and diseased state. ( 0,695642597725232 )
Comput Math Methods Med - Uncertainty quantification in simulations of epidemics using polynomial chaos. ( 0,695036021700177 )
Comput Methods Programs Biomed - Solving delay differential equations in S-ADAPT by method of steps. ( 0,6943753572612 )
J. Comput. Biol. - Is an intuitive convergence definition of molecular dynamics simulations solely based on the root mean square deviation possible? ( 0,694097526405395 )
Comput. Biol. Med. - A compartment model of alveolar-capillary oxygen diffusion with ventilation-perfusion gradient and dynamics of air transport through the respiratory tract. ( 0,684498576716286 )
Brief. Bioinformatics - Investigating biocomplexity through the agent-based paradigm. ( 0,68417791941502 )
Comput Math Methods Med - Dynamics of Mycobacterium and bovine tuberculosis in a human-buffalo population. ( 0,681114551083591 )
Comput Methods Programs Biomed - Computation of restoration of ligand response in the random kinetics of a prostate cancer cell signaling pathway. ( 0,677060533627853 )
J Chem Inf Model - Full and partial agonism of ionotropic glutamate receptors indicated by molecular dynamics simulations. ( 0,676459591331844 )
Artif Intell Med - A growth model of human papillomavirus type 16 designed from cellular automata and agent-based models. ( 0,672859894453482 )
Lifetime Data Anal - An extended cure model and model selection. ( 0,670320160833957 )
Comput Methods Programs Biomed - A therapy parameter-based model for predicting blood glucose concentrations in patients with type 1 diabetes. ( 0,669992513134146 )
Med Biol Eng Comput - A fluid-structure interaction model of the aortic valve with coaptation and compliant aortic root. ( 0,668918025389824 )
IEEE Trans Image Process - Additive log-logistic model for networked video quality assessment. ( 0,665088680514344 )
Comput. Biol. Med. - Computing the stability of steady-state solutions of mathematical models of the electrical activity in the heart. ( 0,664853797813669 )
Comput. Biol. Med. - An implicit evolution scheme for active contours and surfaces based on IIR filtering. ( 0,66363387460398 )
Comput Math Methods Med - Noninvasive monitoring of hepatic damage from hepatitis C virus infection. ( 0,663550645725118 )
Comput Math Methods Med - Optimal control of HIV/AIDS in the workplace in the presence of careless individuals. ( 0,663333986496799 )
Comput Biol Chem - Stochastic synchronization of interacting pathways in testosterone model. ( 0,655460293547521 )
Comput Math Methods Med - A numerical method of reduced complexity for simulating vascular hemodynamics using coupled 0D lumped and 1D wave propagation models. ( 0,654177038922397 )
Int J Neural Syst - A generalized Leaky Integrate-and-Fire neuron model with fast implementation method. ( 0,650275588652566 )
Comput Math Methods Med - Complexity analysis and parameter estimation of dynamic metabolic systems. ( 0,64943546881706 )
Neural Comput - Active data collection for efficient estimation and comparison of nonlinear neural models. ( 0,646260085384228 )
Comput Biol Chem - Parameter sensitivity analysis of stochastic models: application to catalytic reaction networks. ( 0,645588996625329 )
Comput Methods Programs Biomed - Simulating and analysing infectious disease data in a heterogeneous population with migration. ( 0,644081552843118 )
Comput Math Methods Med - Effects of maximal sodium and potassium conductance on the stability of Hodgkin-Huxley model. ( 0,641176470588235 )
IEEE Trans Image Process - Fast cartoon + texture image filters. ( 0,640820558004281 )
Comput Math Methods Med - Spongiosa primary development: a biochemical hypothesis by Turing patterns formations. ( 0,638767774851398 )
IEEE J Biomed Health Inform - Prediction of Hemodynamic Response to Epinephrine via Model-Based System Identification. ( 0,636297398563979 )
Comput Math Methods Med - Spatiotemporal dynamic simulation of acute perfusion/diffusion ischemic stroke lesions evolution: a pilot study derived from longitudinal MR patient data. ( 0,635366735138026 )
Neural Comput - Dynamical movement primitives: learning attractor models for motor behaviors. ( 0,634202432135079 )
Comput Methods Programs Biomed - Innovative model to simulate exhalation phase in human respiratory system. ( 0,632651038203374 )
J Integr Bioinform - From binary to multivalued to continuous models: the lac operon as a case study. ( 0,631853003363095 )
Comput Methods Programs Biomed - Parametric-based brain Magnetic Resonance Elastography using a Rayleigh damping material model. ( 0,630641472944884 )
J Clin Monit Comput - Simulating physiological interactions in a hybrid system of mathematical models. ( 0,63044946367845 )
J Chem Inf Model - Fitting of dihedral terms in classical force fields as an analytic linear least-squares problem. ( 0,629426204244916 )
Comput Math Methods Med - Solid dynamic models for analysis of stress and strain in human hearts. ( 0,628788540537733 )
Comput. Biol. Med. - Volume conductor models in surface electromyography: computational techniques. ( 0,628761404312323 )
IEEE Trans Pattern Anal Mach Intell - Bi-polynomial Modeling of Low-frequency Reflectances. ( 0,628704452566072 )
Comput. Biol. Med. - On a reusable and multilevel methodology for modeling and simulation of pharmacokinetic-physiological systems: a preliminary study. ( 0,626061275517872 )
Neural Comput - MOSAIC for multiple-reward environments. ( 0,625475349559457 )
Neural Comput - Synchronization of stochastic competitive neural networks with different timescales and reaction-diffusion terms. ( 0,624702195577547 )
Comput Methods Programs Biomed - Epithelial to mesenchymal transition-the roles of cell morphology, labile adhesion and junctional coupling. ( 0,623749098893856 )
Comput Math Methods Med - Discrete-state stochastic models of calcium-regulated calcium influx and subspace dynamics are not well-approximated by ODEs that neglect concentration fluctuations. ( 0,620354866938326 )
BMC Med Inform Decis Mak - The effect of improving task representativeness on capturing nurses' risk assessment judgements: a comparison of written case simulations and physical simulations. ( 0,618869444950528 )
Comput Methods Programs Biomed - System approach to modeling of liver glucose metabolism with physiologically interpreted model parameters outgoing from [18F]FDG concentrations measured by PET. ( 0,618512675520158 )
IEEE Trans Neural Netw Learn Syst - Global exponential synchronization of multiple memristive neural networks with time delay via nonlinear coupling. ( 0,618053539327431 )
Comput. Biol. Med. - Model-based assessment of baroreflex and cardiopulmonary couplings during graded head-up tilt. ( 0,61632466023984 )
Comput Methods Programs Biomed - Modelling the Double Peak Phenomenon in pharmacokinetics. ( 0,614708227784248 )
Comput Methods Programs Biomed - Kinetic modelling of the role of the aldehyde dehydrogenase enzyme and the breast cancer resistance protein in drug resistance and transport. ( 0,61312873144615 )
Comput Methods Programs Biomed - Design of a framework for modeling, integration and simulation of physiological models. ( 0,612251457681144 )
AMIA Annu Symp Proc - Simulation Analysis Platform (SnAP): a tool for evaluation of public health surveillance and disease control strategies. ( 0,612007011970556 )
Comput Methods Programs Biomed - Biomechanical analyses of static and dynamic fixation techniques of retrograde interlocking femoral nailing using nonlinear finite element methods. ( 0,611764705882353 )
IEEE Trans Image Process - Reinitialization-free level set evolution via reaction diffusion. ( 0,61100569259962 )
Comput Methods Programs Biomed - The most precise computations using Euler's method in standard floating-point arithmetic applied to modelling of biological systems. ( 0,603871869284189 )
Comput Math Methods Med - Mathematical modeling of transmission dynamics and optimal control of vaccination and treatment for hepatitis B virus. ( 0,603259433177557 )
Wiley Interdiscip Rev Syst Biol Med - Advances in modeling ventricular arrhythmias: from mechanisms to the clinic. ( 0,603130505769693 )