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Topic:Mathematical Model

Mathematical models in equine research involve the application of mathematical techniques and theories to understand and predict various aspects of horse physiology, behavior, and health. These models can simulate complex biological processes, offering insights into areas such as biomechanics, disease spread, and metabolic functions. By integrating data and equations, mathematical models help researchers explore scenarios that may be challenging to study experimentally. Common applications include modeling the dynamics of equine gait, predicting the outcomes of infections, and optimizing nutrition plans. This page compiles peer-reviewed research studies and scholarly articles that explore the development, validation, and application of mathematical models in the study of equine biology and management.
Factors affecting untargeted detection of doping agents in biological samples.
Talanta    March 11, 2023   Volume 258 124446 doi: 10.1016/j.talanta.2023.124446
Guan F, You Y, Fay S, Adreance MA, McGoldrick LK, Robinson MA.Doping control is essential for sports, and untargeted detection of doping agents (UDDA) is the holy grail for anti-doping strategies. The present study examined major factors impacting UDDA with metabolomic data processing, including the use of blank samples, signal-to-noise ratio thresholds, and the minimum chromatographic peak intensity. Contrary to data processing in metabolomics studies, both blank sample use (either blank solvent or plasma) and marking of background compounds were found to be unnecessary for UDDA in biological samples, the first such report to the authors' knowledge. The...
Relationship between Thoroughbred workloads in racing and the fatigue life of equine subchondral bone.
Scientific reports    July 7, 2022   Volume 12, Issue 1 11528 doi: 10.1038/s41598-022-14274-y
Morrice-West AV, Hitchens PL, Walmsley EA, Tasker K, Lim SL, Smith AD, Whitton RC.Fatigue life (FL) is the number of cycles of load sustained by a material before failure, and is dependent on the load magnitude. For athletes, 'cycles' translates to number of strides, with load proportional to speed. To improve previous investigations estimating workload from distance, we used speed (m/s, x) per stride collected using 5 Hz GPS/800 Hz accelerometer sensors as a proxy for limb load to investigate factors associated with FL in a Thoroughbred race start model over 25,234 race starts, using a combination of mathematical and regression modelling. Fore-limb vertical force (NKg) w...
Short-Term Effects of Temperature and Thyrotropin-Releasing Hormone Stimulation on Adrenocorticotropin Stability in Horses.
Animals : an open access journal from MDPI    January 28, 2022   Volume 12, Issue 3 324 doi: 10.3390/ani12030324
Hinrichsen SL, Yuen KY, Dryburgh EL, Bertin FR, Stewart AJ.Pituitary pars intermedia dysfunction (PPID) is diagnosed by increased basal or post thyrotropin-releasing hormone (TRH) stimulation ACTH concentrations. ACTH is known to be unstable; however, the effect of different temperatures and TRH stimulation on equine ACTH stability is poorly described. In total, 15 horses, including 8 PPID positive (ACTH > 35 pg/mL at baseline or >65 pg/mL 30 min after TRH stimulation), were divided into 2 groups: 9, including 5 PPID positive, with basal ACTH concentrations and 6, including 3 PPID positive, with post TRH stimulation ACTH concentrations. Whole bl...
Modelling Mutation in Equine Infectious Anemia Virus Infection Suggests a Path to Viral Clearance with Repeated Vaccination.
Viruses    December 6, 2021   Volume 13, Issue 12 2450 doi: 10.3390/v13122450
Schwartz EJ, Costris-Vas C, Smith SR.Equine infectious anemia virus (EIAV) is a lentivirus similar to HIV that infects horses. Clinical and experimental studies demonstrating immune control of EIAV infection hold promise for efforts to produce an HIV vaccine. Antibody infusions have been shown to block both wild-type and mutant virus infection, but the mutant sometimes escapes. Using these data, we develop a mathematical model that describes the interactions between antibodies and both wild-type and mutant virus populations, in the context of continual virus mutation. The aim of this work is to determine whether repeated vaccinat...
Loading equine oocytes with cryoprotective agents captured with a finite element method model.
Scientific reports    October 6, 2021   Volume 11, Issue 1 19812 doi: 10.1038/s41598-021-99287-9
Içli S, Soleimani M, Oldenhof H, Sieme H, Wriggers P, Wolkers WF.Cryopreservation can be used to store equine oocytes for extended periods so that they can be used in artificial reproduction technologies at a desired time point. It requires use of cryoprotective agents (CPAs) to protect the oocytes against freezing injury. The intracellular introduction of CPAs, however, may cause irreversible osmotic damage. The response of cells exposed to CPA solutions is governed by the permeability of the cellular membrane towards water and the CPAs. In this study, a mathematical mass transport model describing the permeation of water and CPAs across an oocyte membrane...
Ecologic Determinants of West Nile Virus Seroprevalence among Equids, Brazil.
Emerging infectious diseases    August 24, 2021   Volume 27, Issue 9 2466-2470 doi: 10.3201/eid2709.204706
de Oliveira-Filho EF, Fischer C, Berneck BS, Carneiro IO, Kühne A, de Almeida Campos AC, Ribas JRL, Netto EM, Franke CR, Ulbert S, Drexler JF.Among 713 equids sampled in northeastern Brazil during 2013-2018, West Nile virus seroprevalence was 4.5% (95% CI 3.1%-6.3%). Mathematical modeling substantiated higher seroprevalence adjacent to an avian migratory route and in areas characterized by forest loss, implying increased risk for zoonotic infections in disturbed areas.
Linear elastic and hyperelastic studies of equine hoof mechanical response at different hydration levels.
Journal of the mechanical behavior of biomedical materials    June 5, 2021   Volume 121 104622 doi: 10.1016/j.jmbbm.2021.104622
Akbari Shahkhosravi N, Gohari S, Komeili A, Burvill C, Davies H.Most simulation studies on equine hoof biomechanics employed linear elastic (LE) material models. However, the equine hoof wall's stress-strain relationship is nonlinear and varies with hydration level. Therefore, it is essential to investigate the accuracy of the LE model compared to more advanced material models, such as hyperelastic (HE) or viscoelastic models. The current research investigated performances of LE and three HE models (Mooney-Rivlin, Neo-Hookean, and Marlow) in describing equine hoof's mechanical behavior using finite element (FE) analysis. In the first attempt, a rectangular...
high-throughput droplet vitrification of stallion sperm using permeating cryoprotective agents.
Cryobiology    May 30, 2021   Volume 101 67-77 doi: 10.1016/j.cryobiol.2021.05.007
Pruß D, Yang H, Luo X, Liu D, Hegermann J, Wolkers WF, Sieme H, Oldenhof H.Stallion sperm is typically cryopreserved using low cooling rates and low concentrations of cryoprotective agents (CPAs). The inevitable water-to-ice phase transition during cryopreservation is damaging and can be prevented using vitrification. Vitrification requires high cooling rates and high CPA concentrations. In this study, the feasibility of stallion sperm vitrification was investigated. A dual-syringe pump system was used to mix sperm equilibrated in a solution with a low concentration of CPAs, with a solution containing a high CPA concentration, and to generate droplets of a defined si...
Novel Algorithms for Comprehensive Untargeted Detection of Doping Agents in Biological Samples.
Analytical chemistry    May 21, 2021   Volume 93, Issue 21 7746-7753 doi: 10.1021/acs.analchem.1c01273
Guan F, You Y, Fay S, Li X, Robinson MA.To address the limitations of current targeted analytical methods that can only detect known doping agents, a novel methodology that permits untargeted drug detection (UDD) has been developed to help in the fight against doping in sports. Fifty-seven drugs were spiked into blank equine plasma and were treated as unknowns since their exact masses and chromatographic retention times were not utilized for detection. The spiked drugs were extracted from the plasma samples and were analyzed using liquid chromatography coupled to high-resolution mass spectrometry (LC-HRMS). The acquired LC-HRMS raw ...
Optimal speed in Thoroughbred horse racing.
PloS one    December 2, 2020   Volume 15, Issue 12 e0235024 doi: 10.1371/journal.pone.0235024
Mercier Q, Aftalion A.The objective of this work is to provide a mathematical analysis on how a Thoroughbred horse should regulate its speed over the course of a race to optimize performance. Because Thoroughbred horses are not capable of running the whole race at top speed, determining what pace to set and when to unleash the burst of speed is essential. Our model relies on mechanics, energetics (both aerobic and anaerobic) and motor control. It is a system of coupled ordinary differential equations on the velocity, the propulsive force and the anaerobic energy, that leads to an optimal control problem that we sol...
Distances Walked by Long Established and Newcomer Horses in an Open Stable System in Northern Germany.
Journal of equine veterinary science    October 6, 2020   Volume 95 103282 doi: 10.1016/j.jevs.2020.103282
Hildebrandt F, Krieter J, Büttner K, Salau J, Czycholl I.Group housing is claimed to possibly provide horses with a species-appropriate movement possibility, and hence, better welfare. Thus, this study analyzed the daily walked distances of 51 horses held in one group in a "HIT Active Stable" (Hinrichs Innovation + Technik) in Northern Germany by using global positioning system (GPS) technology during a 7 ½-month time span. The daily walking distances of the whole group, as well as newcomers, were investigated. The horses traveled an average of 8.43 km/day. Linear mixed models were applied. The observation day had a significant effect on the dail...
Evaluation of the Accuracy of Horse Body Weight Estimation Methods.
Animals : an open access journal from MDPI    September 26, 2020   Volume 10, Issue 10 1750 doi: 10.3390/ani10101750
Górniak W, Wieliczko M, Soroko M, Korczyński M.Methods of estimating horse body weight using mathematical formulae have better accuracy than methods of reading body weight from measuring tape. The aim of the study was to evaluate established formulae for estimating horse body weight from data gathered using measurement tape. The research was conducted in a group of 299 adult horses and ponies of selected breeds: ponies ( = 58), Polish Noble Half Breed ( = 150), Silesian Breed ( = 23), Wielkopolski Breed ( = 52), and Thoroughbred ( = 16). Body measurements were performed on each horse using a measuring stick and tape. The actual body weight...
Contribution of Reproduction Management and Technologies to Genetic Progress in Horse Breeding.
Journal of equine veterinary science    April 28, 2020   Volume 89 103016 doi: 10.1016/j.jevs.2020.103016
Palmer E, Chavatte-Palmer P.Reproductive technologies aim at improving fertility with the ultimate result of improving genetic selection. In equidae, the respective contribution of different methods of horse management and breeding to genetic progress remain difficult to evaluate as breeding strategies affect the number of offspring per mare or stallion whereas different selection methods (based on pedigree, performance, genomics or progeny's performance) will be applicable at different ages, leading to different accuracy in the estimation of the breeding value. Here, a mathematical model was applied to evaluate theoreti...
Comparing the effects of non-homogenous mixing patterns on epidemiological outcomes in equine populations: A mathematical modelling study.
Scientific reports    March 1, 2019   Volume 9, Issue 1 3227 doi: 10.1038/s41598-019-40151-2
Milwid RM, O'Sullivan TL, Poljak Z, Laskowski M, Greer AL.Disease transmission models often assume homogenous mixing. This assumption, however, has the potential to misrepresent the disease dynamics for populations in which contact patterns are non-random. A disease transmission model with an SEIR structure was used to compare the effect of weighted and unweighted empirical equine contact networks to weighted and unweighted theoretical networks generated using random mixing. Equine influenza was used as a case study. Incidence curves generated with the unweighted empirical networks were similar in epidemic duration (5-8 days) and peak incidence (30.8...
Mathematical modelling of bone adaptation of the metacarpal subchondral bone in racehorses.
Biomechanics and modeling in mechanobiology    January 17, 2018   Volume 17, Issue 3 877-890 doi: 10.1007/s10237-017-0998-z
Hitchens PL, Pivonka P, Malekipour F, Whitton RC.In Thoroughbred racehorses, fractures of the distal limb are commonly catastrophic. Most of these fractures occur due to the accumulation of fatigue damage from repetitive loading, as evidenced by microdamage at the predilection sites for fracture. Adaptation of the bone in response to training loads is important for fatigue resistance. In order to better understand the mechanism of subchondral bone adaptation to its loading environment, we utilised a square root function defining the relationship between bone volume fraction [Formula: see text] and specific surface [Formula: see text] of the ...
Numerical time-domain modelling of hoof-ground interaction during the stance phase.
Equine veterinary journal    December 10, 2017   Volume 50, Issue 4 519-524 doi: 10.1111/evj.12782
Behnke R.Hoof-ground interaction impacts on the health and performance characteristics of horses. Due to complex interactions between hoof and ground during the stance phase, previous experimentally dominated studies concentrated on subproblems of the phenomena observed. A multidisciplinary methodology with mathematical modelling, material testing and in vivo experimental measurements seems promising. Objective: With the help of a mathematical approach, this contribution aims to explain from a biomechanical point of view the phenomena observed during experimental investigations (hoof acceleration, inte...
Seasonal Variations in Heart Rate Variability as an Indicator of Stress in Free-Ranging Pregnant Przewalski’s Horses (E. ferus przewalskii) within the Hortobágy National Park in Hungary.
Frontiers in physiology    September 7, 2017   Volume 8 664 doi: 10.3389/fphys.2017.00664
Pohlin F, Brabender K, Fluch G, Stalder G, Petit T, Walzer C. Ecosystems with seasonal fluctuations in climate and food availability present physiological challenges to resident mammals and may cause "stress." The two predominant physiological responses to stressors are (1) the activation of the hypothalamic-pituitary-adrenal axis and (2) the modulation of the autonomic nervous system. To date, the primary indicator for "stress" in wildlife- and zoo animal research are glucocorticoid levels. By measuring the autonomic regulation of cardiac activity, particularly the vagal tone, heart rate variability (HRV) is presently emerging as a suitable indicator o...
Effect of detomidine or romifidine constant rate infusion on plasma lactate concentration and inhalant requirements during isoflurane anaesthesia in horses.
Veterinary anaesthesia and analgesia    March 30, 2017   Volume 44, Issue 3 473-482 doi: 10.1016/j.vaa.2016.01.002
Niimura Del Barrio MC, Bennett RC, Hughes JML.Influence of detomidine or romifidine constant rate infusion (CRI) on plasma lactate concentration and isoflurane requirements in horses undergoing elective surgery. Methods: Prospective, randomised, blinded, clinical trial. Methods: A total of 24 adult healthy horses. Methods: All horses were administered intramuscular acepromazine (0.02 mg kg) and either intravenous detomidine (0.02 mg kg) (group D), romifidine (0.08 mg kg) (group R) or xylazine (1.0 mg kg) (group C) prior to anaesthesia. Group D was administered detomidine CRI (10 μg kg hour) in lactated Ringer's solution (LRS), group...
Novel in vitro diagnosis of equine allergies using a protein array and mathematical modelling approach: a proof of concept using insect bite hypersensitivity.
Veterinary immunology and immunopathology    June 27, 2015   Volume 167, Issue 3-4 171-177 doi: 10.1016/j.vetimm.2015.06.013
Marti E, Wang X, Jambari NN, Rhyner C, Olzhausen J, Pérez-Barea JJ, Figueredo GP, Alcocer MJ.Insect bite hypersensitivity (IBH) is a seasonal recurrent skin allergy of horses caused by IgE-mediated reactions to allergens present in the saliva of biting insects of the genus Culicoides, and possibly also Simulium and Stomoxys species. In this work we show that protein microarrays containing complex extracts and pure proteins, including recombinant Culicoides allergens, can be used as a powerful technique for the diagnosis of IBH. Besides the obvious advantages such as general profiling and use of few microliters of samples, this microarray technique permits automation and allows the gen...
Understanding virus-host dynamics following EIAV infection in SCID horses.
Journal of theoretical biology    November 16, 2013   Volume 343 1-8 doi: 10.1016/j.jtbi.2013.11.003
Ciupe SM, Schwartz EJ.We develop a mathematical model for the interaction between two competing equine infectious anemia virus strains and neutralizing antibodies. We predict that elimination of one or both virus strains depends on the initial antibody levels, the strength of antibody mediated neutralization, and the persistence of antibody over time. We further show that the ability of a subdominant, neutralization resistant virus to dominate the infection transiently or permanently is dependent on the antibody-mediated neutralization effect. Finally, we determine conditions for persistence of both virus strains. ...
The effect of exercise on plasma concentrations of inflammatory markers in normal and previously laminitic ponies.
Equine veterinary journal    September 11, 2013   Volume 46, Issue 3 317-321 doi: 10.1111/evj.12132
Menzies-Gow NJ, Wray H, Bailey SR, Harris PA, Elliott J.The mechanisms underlying predisposition to pasture-associated laminitis remain unclear; chronic inflammation is implicated, and this may be exacerbated by physical inactivity. Objective: To determine whether exercise affects the inflammatory profile of normal and previously laminitic ponies. Methods: Prospective case-control study. Methods: The short (1 day) and longer term (14 days) effects of low intensity (10 min walking and 5 min trotting) exercise on plasma inflammatory marker concentrations in normal (NL) and previously laminitic (PL) nonobese ponies (n = 6/group) was determined. Plasma...
What can mathematical models bring to the control of equine influenza?
Equine veterinary journal    August 2, 2013   Volume 45, Issue 6 784-788 doi: 10.1111/evj.12104
Daly JM, Newton JR, Wood JL, Park AW.Mathematical modelling of infectious disease is increasingly regarded as an important tool in the development of disease prevention and control measures. This article brings together key findings from various modelling studies conducted over the past 10 years that are of relevance to those on the front line of the battle against equine influenza.
The development and evaluation of a mathematical nutrition model to predict digestible energy intake of broodmares based on body condition changes.
Journal of animal science    February 19, 2013   Volume 91, Issue 5 2169-2177 doi: 10.2527/jas.2011-4659
Cordero VV, Cavinder CA, Tedeschi LO, Sigler DH, Vogelsang MM, Arnold CE.Mathematical nutrition models have been developed for beef and dairy cattle to estimate dietary energy intake needed to change BCS. Similar technology has not been used to improve nutrition and feeding strategies for horses. An accurate equine nutrition model may enhance feeding management and reduce the costs of unnecessary overfeeding and promote an optimal level of fatness to achieve reproductive efficiency. The objectives of this study were to develop and evaluate a mathematical nutrition model capable of accurately predicting dietary energy changes to alter BW, rump fat (RF) thickness, an...
The effects of windrow composting on the viability of Parascaris equorum eggs.
Veterinary parasitology    September 6, 2012   Volume 191, Issue 1-2 73-80 doi: 10.1016/j.vetpar.2012.08.017
Gould JC, Rossano MG, Lawrence LM, Burk SV, Ennis RB, Lyons ET.Parascaris equorum generally infects horses less than 18 months old and its pathological effects can be severe. Infection occurs when larvated eggs, present in pastures, paddocks, stalls, and on feeding and watering equipment are ingested. The purpose of this study was to examine the effects of windrow composting on the viability of P. equorum eggs at a cooperating central Kentucky horse farm. Three grams of feces containing 2216 P. equorum eggs per gram were sealed in filter bag sentinel chambers. Chambers were exposed to 1 of 3 treatments: constant exposure or intermittent exposure to the in...
Modeling within-host dynamics of influenza virus infection including immune responses.
PLoS computational biology    June 28, 2012   Volume 8, Issue 6 e1002588 doi: 10.1371/journal.pcbi.1002588
Pawelek KA, Huynh GT, Quinlivan M, Cullinane A, Rong L, Perelson AS.Influenza virus infection remains a public health problem worldwide. The mechanisms underlying viral control during an uncomplicated influenza virus infection are not fully understood. Here, we developed a mathematical model including both innate and adaptive immune responses to study the within-host dynamics of equine influenza virus infection in horses. By comparing modeling predictions with both interferon and viral kinetic data, we examined the relative roles of target cell availability, and innate and adaptive immune responses in controlling the virus. Our results show that the rapid and ...
Mathematical modelling of tissue formation in chondrocyte filter cultures.
European cells & materials    December 17, 2011   Volume 22 377-392 doi: 10.22203/ecm.v022a28
Catt CJ, Schuurman W, Sengers BG, van Weeren PR, Dhert WJ, Please CP, Malda J.In the field of cartilage tissue engineering, filter cultures are a frequently used three-dimensional differentiation model. However, understanding of the governing processes of in vitro growth and development of tissue in these models is limited. Therefore, this study aimed to further characterise these processes by means of an approach combining both experimental and applied mathematical methods. A mathematical model was constructed, consisting of partial differential equations predicting the distribution of cells and glycosaminoglycans (GAGs), as well as the overall thickness of the tissue....
The mathematical description of the body centre of mass 3D path in human and animal locomotion.
Journal of biomechanics    April 3, 2011   Volume 44, Issue 8 1471-1477 doi: 10.1016/j.jbiomech.2011.03.014
Minetti AE, Cisotti C, Mian OS.Although the 3D trajectory of the body centre of mass during ambulation constitutes the 'locomotor signature' at different gaits and speeds for humans and other legged species, no quantitative method for its description has been proposed in the literature so far. By combining the mathematical discoveries of Jean Baptiste Joseph Fourier (1768-1830, analysis of periodic events) and of Jules Antoine Lissajous (1822-1880, parametric equation for closed loops) we designed a method simultaneously capturing the spatial and dynamical features of that 3D trajectory. The motion analysis of walking and r...
Why children with special needs feel better with hippotherapy sessions: a conceptual review.
Journal of alternative and complementary medicine (New York, N.Y.)    March 8, 2011   Volume 17, Issue 3 191-197 doi: 10.1089/acm.2009.0229
Granados AC, Agís IF.Hippotherapy literally means "therapy with the help of a horse" and is derived from the Greek word hippos, meaning "horse." Hippocrates was the first to describe the benefits of hippotherapy for rehabilitation purposes. Although this therapy has many years of history, few scholars have defined the theoretical bases of hippotherapy and less about how psychologic, physical, social, and educational benefits can be achieved through hippotherapy in children with special needs. Objective: This article is designed from a chronological perspective to provide mental health professionals, educators, and...
Stereoselective pharmacokinetics of ketamine and norketamine after constant rate infusion of a subanesthetic dose of racemic ketamine or S-ketamine in Shetland ponies.
American journal of veterinary research    July 2, 2009   Volume 70, Issue 7 831-839 doi: 10.2460/ajvr.70.7.831
Larenza MP, Peterbauer C, Landoni MF, Levionnois OL, Schatzmann U, Spadavecchia C, Thormann W.To evaluate pharmacokinetics of ketamine and norketamine enantiomers after constant rate infusion (CRI) of a subanesthetic dose of racemic ketamine or S-ketamine in ponies. Methods: Five 6-year-old Shetland pony geldings that weighed between 101 and 152 kg. Methods: In a crossover study, each pony received a CRI of racemic ketamine (loading dose, 0.6 mg/kg; CRI, 0.02 mg/kg/min) and S-ketamine (loading dose, 0.3 mg/kg; CRI, 0.01 mg/kg/min), with a 1-month interval between treatments. Arterial blood samples were collected before and at 5, 15, 30, 45, and 60 minutes during drug administration and...
Online detection of an emotional response of a horse during physical activity.
Veterinary journal (London, England : 1997)    April 17, 2009   Volume 181, Issue 1 38-42 doi: 10.1016/j.tvjl.2009.03.017
Jansen F, Van der Krogt J, Van Loon K, Avezzù V, Guarino M, Quanten S, Berckmans D.The objective of this research was to develop a non-invasive method to detect an emotional response of a horse to novelty during physical activity. Two horses performed 20 trials each, in which the horse's heart rate (HR) and physical activity were continuously measured. The relationship between the horse's physical activity and HR was described by a mathematical model allowing online decomposition of the horse's HR into a physical component and a component containing information about its emotional state. Exposure to the novel object resulted in an increase in the emotional component of HR, w...