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1. Full Text Novel mathematic models for quantitative transitivity of quality-markers in extraction process of the Buyanghuanwu decoction
by Zhang, Yu-Tian and Xiao, Mei-Feng and Deng, Kai-Wen and Yang, Yan-Tao and Zhou, Yi-Qun and Zhou, Jin and He, Fu-Yuan and Liu, Wen-Long
Phytomedicine, ISSN 0944-7113, 06/2018, Volume 45, pp. 68 - 75
Nowadays, to research and formulate an efficiency extraction system for Chinese herbal medicine, scientists have always been facing a great challenge for... 
TCMs extraction | Q-marker | Mathematic model | Transitivity of Q-markers in quantitative analysis | Buyanhuanwu decoction | Transitivity of Q-markers in quantitative | CHEMISTRY, MEDICINAL | ANTIOXIDANTS | RADIX | CHINESE MEDICINES | RATS | ASTRAGALOSIDE-IV | BIOLOGICAL-ACTIVITIES | ISCHEMIA | analysis | PLANT SCIENCES | INTEGRATIVE & COMPLEMENTARY MEDICINE | POLYSACCHARIDES | PHARMACOLOGY & PHARMACY | LIGUSTICUM-CHUANXIONG
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2. Models in biology
: mathematics, statistics, and computing
by Brown, D. (David) and Rothery, P. (Peter)
1993, ISBN 0471933228, xix, 688
Biology | Mathematical models | Biometry
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3. Life's other secret
: the new mathematics of the living world
by Stewart, Ian, 1945
1998, ISBN 0471158453, xiii, 285 p., [8] p. of plates
Biomathematics
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4. Full Text The mathematics of cancer: Integrating quantitative models
by Altrock, Philipp M and Liu, Lin L and Michor, Franziska
Nature Reviews Cancer, ISSN 1474-175X, 11/2015, Volume 15, Issue 12, pp. 730 - 745
Mathematical modelling approaches have become increasingly abundant in cancer research. The complexity of cancer is well suited to quantitative approaches as... 
BREAST-CANCER | LUNG-CANCER | PASSENGER MUTATIONS | IMMUNE-SYSTEM | ONCOLOGY | TREE MODELS | ACQUIRED-RESISTANCE | DRUG-RESISTANCE | EVOLUTIONARY GAME-THEORY | CHRONIC MYELOID-LEUKEMIA | NONLINEAR TUMOR-GROWTH | Models, Theoretical | Neoplasms - therapy | Animals | Prognosis | Models, Biological | Humans | Neoplasms - diagnosis | Disease Progression | Usage | Oncology, Experimental | Models | Mathematical models | Research | Carcinogenesis | Cancer
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5. Full Text On a Mathematical Model of Biological Self-Organization
by Kolesov, A Yu and Rozov, N Kh and Sadovnichii, V A
Proceedings of the Steklov Institute of Mathematics, ISSN 0081-5438, 1/2019, Volume 304, Issue 1, pp. 160 - 189
A system of two generalized Hutchinson’s equations coupled by linear diffusion terms is considered. It is established that for an appropriate choice of... 
Mathematics, general | Mathematics
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6. Role of Synaptic Stochasticity in Training Low-Precision Neural Networks
by Carlo Baldassi and Federica Gerace and Hilbert J Kappen and Carlo Lucibello and Luca Saglietti and Enzo Tartaglione and Riccardo Zecchina
Physical Review Letters, ISSN 0031-9007, 06/2018, Volume 120, Issue 26, p. 268103
Stochasticity and limited precision of synaptic weights in neural network models are key aspects of both biological and hardware modeling of learning... 
Robustness (mathematics) | Neural networks | Synapses | Biological models (mathematics)
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7. Comparison of mathematic models for assessment of glomerular filtration rate with electron-beam CT in pigs
by Daghini, Elena and Juillard, Laurent and Haas, John A and Krier, James D and Romero, Juan C and Lerman, Lilach O
Radiology, ISSN 0033-8419, 02/2007, Volume 242, Issue 2, pp. 417 - 424
Purpose: To prospectively compare in pigs three mathematic models for assessment of glomerular filtration rate (GFR) on electron-beam (EB) computed tomographic... 
ENHANCED COMPUTED-TOMOGRAPHY | KIDNEY PERFUSION | CONTRAST-MEDIA CLEARANCE | INVIVO | QUANTIFICATION | BRAIN TRANSFER CONSTANTS | HELICAL CT | UNIT RENAL VOLUME | BLOOD-FLOW | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | GRAPHICAL EVALUATION | Inulin - pharmacokinetics | Kidney - physiology | Vasodilator Agents - pharmacology | Acetylcholine - pharmacology | Kidney Medulla - diagnostic imaging | Kidney Tubules - physiology | Tomography, X-Ray Computed - methods | Metabolic Clearance Rate | Image Processing, Computer-Assisted - methods | Kidney Cortex - diagnostic imaging | Subtraction Technique | Glomerular Filtration Rate - physiology | Kidney Tubules - diagnostic imaging | Kidney Function Tests | Animals | Contrast Media | Kidney - diagnostic imaging | Models, Biological | Swine | Kidney Cortex - physiology | Iopamidol | Kidney Medulla - physiology
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8. Full Text Biotechnology: continuous evolution of paradigms
by Carlos Arturo Martínez Riascos
Revista Colombiana de Biotecnología, ISSN 0123-3475, 07/2018, Volume 20, Issue 2, p. 4
If we consider that the understanding and prediction of the behavior of a system is the turning point in the laborious attempt to control it and maximize the... 
Biotechnology | Biological models (mathematics)
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9. Predicting tipping points of dynamical systems during a period-doubling route to chaos
by Nazarimehr Fahimeh and Jafari Sajad and Hashemi Golpayegani Seyed Mohammad Reza and Sprott Julien Clinton
ISSN 1054-1500, 07/2018, Volume 28, Issue 7
Classical indicators of tipping points have limitations when they are applied to an ecological and a biological model. For example, they cannot correctly... 
Autocorrelation functions | Kurtosis | Indicators | Biological models (mathematics)
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10. 知覚情報技術によるライフイノベーション
by Tomoya Sakai and Shunpei Shiwa and Kosei Nishitsuji
Denki Gakkai Ronbunshi. C, Erekutoronikusu, Joho Kogaku, Shisutemu, ISSN 0385-4221, 02/2017, Volume 137, Issue 2, p. 204
Auscultation is one of the essential skills for clinical examination, in particular, of the respiratory system. Sparse modeling is one innovative technology... 
Biological models (mathematics)
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11. Full Text An accurate and dynamic computer graphics muscle model
: thesis presented to the faculty of the Graduate School of the University of Texas at Austin in partial fulfillment of the requirements for the degree of Master of Science in Engineering
by Levine, David Asher and United States. National Aeronautics and Space Administration and University of Texas at Austin
1997, NASA-TM, Volume 205923
Musculoskeletal system | Biological models (Mathematics) | Biodynamics | Computer graphics | Muscles | Dynamic models | Computerized simulation | Muscular function
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12. Inference of chemical reaction networks based on concentration profiles using an optimization framework
by Langary Damoun
Chaos, ISSN 1054-1500, 11/2019, Volume 29, Issue 11
Understanding the structure of reaction networks along with the underlying kinetics that lead to particular concentration readouts of the participating... 
Stoichiometry | Organic chemistry | Networks | Reaction kinetics | Series (mathematics) | Chemical reactions | Chemical reactors | Optimization | Biological models (mathematics)
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13. Compartmental models and their application
by Godfrey, Keith
1983, ISBN 0122869702, xiv, 293
Analyse compartimentale (Biologie) | Compartmental analysis (Biology)
Book
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14. Full Text A theoretical exploration of birhythmicity in the p53-mdm2 network
by Abou-Jaoudé, Wassim and Chaves, Madalena and Gouzé, Jean-Luc
PLoS ONE, ISSN 1932-6203, 2011, Volume 6, Issue 2, p. e17075
Experimental observations performed in the p53-Mdm2 network, one of the key protein modules involved in the control of proliferation of abnormal cells in... 
QUALITATIVE SIMULATION | MULTIDISCIPLINARY SCIENCES | ESCHERICHIA-COLI | MDM2 | DYNAMICS | SYSTEMS | PIECEWISE-LINEAR MODELS | OSCILLATIONS | GENETIC REGULATORY NETWORKS | FEEDBACK LOOP | P53 | Models, Theoretical | Humans | Periodicity | Tumor Suppressor Protein p53 - metabolism | Gene Expression Regulation - physiology | Mammals | Animals | Models, Biological | Computer Simulation | Metabolic Networks and Pathways - physiology | Kinetics | Proto-Oncogene Proteins c-mdm2 - metabolism | Protein Binding - physiology | Tumor proteins | Analysis | Cell proliferation | Fourier transforms | p53 Protein | DNA damage | Radiation | Oscillations | Two dimensional models | Homeostasis | Theoretical analysis | Biology | Coexistence | Biological models (mathematics) | E coli | Mathematical analysis | Cell cycle | Mathematical models | Step functions | Functions (mathematics) | MDM2 protein | Exploration | Radiation dosage | Computer programs | Simulation | Computer applications | Irradiation | Three dimensional models | Life Sciences | Mathematics | Automatic Control Engineering | Engineering Sciences | General Mathematics | Computer Science
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15. Full Text Qualitatively adequate numerical modeling of some biological processes
by Faragó, I and Horváth, R and Sebestyén, G. S
AIP Conference Proceedings, ISSN 0094-243X, 10/2017, Volume 1895, Issue 1
In this paper we investigate discrete models which describe several important biological phenomena. Particularly, we analyse in detail the discrete models for... 
Epidemics | Biological activity | Biological models (mathematics)
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16. Full Text Optimum force magnitude for orthodontic tooth movement: a mathematic model
by Ren, Yijin and Maltha, Jaap C and Van 't Hof, Martin A and Kuijpers-Jagtman, Anne Marie
American Journal of Orthodontics & Dentofacial Orthopedics, ISSN 0889-5406, 2004, Volume 125, Issue 1, pp. 71 - 77
The aim of this study was to develop a mathematic model to describe the relationship between magnitude of applied force and rate of orthodontic tooth movement.... 
CANINE RETRACTION | DIFFERENTIAL FORCE | ROOT RESORPTIONS | ADOLESCENTS | DENTISTRY, ORAL SURGERY & MEDICINE | Biomechanical Phenomena | Mandible | Animals | Bicuspid | Models, Biological | Humans | Dental Stress Analysis | Dogs | Stress, Mechanical | Tooth Movement Techniques - methods | Dental Research - methods | Orthodontic Appliance Design
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17. Full Text Systems biology (UN) Certainties
by Kirk, P.D.W and Kirk, P.D.W and Stumpf, M.P.H
Science, ISSN 0036-8075, 10/2015, Volume 350, Issue 6259, pp. 386 - 388
  Systems biology, some have claimed , attempts the impossible and is doomed to fail. Possible definitions abound, but systems biology is widely understood to... 
DYNAMIC-MODELS | MULTIDISCIPLINARY SCIENCES | Computer based modeling | Biology | Mathematical models | Uncertainty | Computation | Representations | Complex systems | Appraisals | Biological models (mathematics)
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18. Full Text Structural identifiability of systems biology models: A critical comparison of methods
by Chis, Oana-Teodora and Banga, Julio R and Balsa-Canto, Eva
PLoS ONE, ISSN 1932-6203, 11/2011, Volume 6, Issue 11, p. e27755
Analysing the properties of a biological system through in silico experimentation requires a satisfactory mathematical representation of the system including... 
PARAMETER IDENTIFIABILITY | GLOBAL IDENTIFIABILITY | NONLINEAR-SYSTEMS | MULTIDISCIPLINARY SCIENCES | DYNAMICS | CHECK | NETWORKS | EXPERIMENTAL-DESIGN | IDENTIFICATION | NF-KAPPA-B | Glycolysis | Systems Biology - methods | NF-kappa B - metabolism | Nonlinear Dynamics | Models, Biological | Arabidopsis - metabolism | Biological properties | Enzymes | Parameter estimation | System dynamics | Identification methods | Chemical engineering | Nonlinear analysis | Science | Biology | Parameter identification | Experiments | Biological models (mathematics) | Biological effects | Algebra | Computer applications | Ligands | Experimentation | Dynamic models | Mathematical models | Bioinformatics | Methods | Apoptosis
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19. A Lorenz-type attractor in a piecewise-smooth system: Rigorous results
by Belykh Igor V
Chaos, ISSN 1054-1500, 10/2019, Volume 29, Issue 10
Chaotic attractors appear in various physical and biological models; however, rigorous proofs of their existence and bifurcations are rare. In this paper, we... 
Linear systems | Attractors (mathematics) | Parameters | Lorenz system | Chaos theory | Switches | Bifurcations | Orbits | Three dimensional models | Butterflies | Biological models (mathematics)
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20. Full Text Regularization theory in the study of generalization ability of a biological neural network model
by Świetlicka, Aleksandra
Advances in Computational Mathematics, ISSN 1019-7168, 8/2019, Volume 45, Issue 4, pp. 1793 - 1805
This paper focuses on the generalization ability of a dendritic neuron model (a model of a simple neural network). The considered model is an extension of the... 
Visualization | Computational Mathematics and Numerical Analysis | Image processing | 68T05 | Mathematical and Computational Biology | Noise reduction | Kinetic model of neuron | Markov kinetic schemes | Mathematics | Computational Science and Engineering | Generalization ability | Lagrange multipliers | Mathematical Modeling and Industrial Mathematics | MATHEMATICS, APPLIED | Neural circuitry | Neural networks | Neurons | Analysis | Models | Noise control
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